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PART 3: NGAMO EXERCISES


Introduction
1. NGAMO 1
2. NGAMO 2
3. NGAMO 3
4. NGAMO 4

Introduction

The first and second parts of the manual illustrate how to install the WinDASI software, how to operate it and how the calculations are carried out. The third part of the manual presents a set of four practical step-by-step exercises, called NGAMO1, NGAMO2, NGAMO3 and NGAMO4 (the word NGAMO comes from the original project that was located in Myanmar). The objective of this section is to allow the user to practice using the software by analysing a real project (although simplified). In each exercise he/she is guided through a path, from a background of a given exercise to its solution, as shown in the flowchart in Figure A.

The objective of each exercise, the "With Project" and "Without Project" situations (WiP and WoP), the constraints of the project context and the improvements introduced by the proposed actions, together with other project items are synoptically summarised in Table A.

To assist the trainer, each exercise is complemented by Trainer's Notes. Frequently asked questions, critical issues and practical suggestions are also discussed.

Furthermore, all NGAMO exercises are supported by WinDASI files that contain the full data sets (NGAMO1, 2, 3, 4.WDS).

To access these files, carry out the following instructions:

· Run WinDASI program (see "Installation", Part 1 of the WinDASI manual).

· Click on File Open

· Click on the folder Exercise. Inside this folder you will see two folders named Exedisk1 and Exedisk2, which contain the NGAMO exercises and other exercises related to WinDASI.

Select the exercise required (i.e., files with a.WDS extension).

In order to allow the trainer to control the data entry process as he/she carries out the exercises, each of these files is complemented by a set of consecutive files. The consecutive files are marked a,b,c etc (e.g.: NGAMO1a.WDS, NGAMO1b.WDS etc.). The first file of the set contains only a small fraction of the data and each subsequent file contains additional data until the data set is complete.

Each consecutive file will be loaded as indicated by the trainer as he/she goes through the exercises, thus enabling him/her to:

i. keep all the trainees at the same level during the data entry process
ii. recover partial data-sets in case of computer/power failure
iii. manage a step-by-step entry of the data
iv. speed up the data entry process, if necessary, by skipping some steps
v. allow slow trainees in the data entry process to catch up
vi. run the calculations starting with a common database
An explanation on how to use the consecutive files for each exercise is fully detailed in the Trainer's Notes at the end of each NGAMO exercise.

Figure A: Structure of the NGAMO Exercises

Table A - Synoptic summary of the NGAMO exercises

Exercise and step

Goals of the analyst

Farm plan used

WiP situation

WoP situation

Key constraints WiP

Activities

Main changes WiP vs WoP

NGAMO1

Analyse the technical feasibility of the irrigation project at farm level

TRADIT

Irrigated traditional farm

(Note that the investment for irrigation is not envisaged at farm level, and so not included here)

Non-irrigated traditional farm

1) Labour requirements at farm level

2) Increased need for bullock services

1) HY paddy (CUL-HYV)

2) Traditional paddy (CUL-TRA)

3) Sesame (CUL-SES)

4) Sunflower (CUL-SES)

1) More water available to farmers

2) Increased area cultivated in dry season

3) Substitution of traditional paddy with HY paddy

4) Increased yields

5) Increased use of some inputs

NGAMO2

Formulate two farm models to:

1) Solve the labour constraint at farm level

2) Solve the bullock constraint

AN-FARM

Irrigated traditional farm + hired labour

Non-irrigated traditional farm

The labour constraint is removed, but the bullock constraint is unresolved

As for TRADIT

As for TRADIT, plus the use of hired labour



MEC-FARM

Irrigated with mechanized activities.

The power tiller investment is added

Non irrigated traditional farm

1) The labour and bullock constraints are resolved

2) A financing constraint is generated by the investment

1) HY paddy (MEC-HYV)

2) Traditional paddy (MEC-TRA)

3) Sesame (MEC-SES)

4) Sunflower (MEC-SES)

The same changes as AN-FARM, plus:

1) Introduction of the investment

2) Substitution of bullock services by tractor services

3) Introduction of running costs for tractor


1) Solve the financing constraint

2) Analyse the economic impact of the credit component

MEC-FARM1

The same as MEC-FARM + credit component

Non-irrigated traditional farm

Improve fit of the financing plan to the mechanized farmer's cash flow

The same as in MEC-FARM + the credit component

The same as in MEC-FARM + the credit component

NGAMO3

Analyse the overall economic impact of the irrigation project

AN-FARM

MEC-FARM

+ Zone NGAMO3

600 MEC-FARM
and
400 AN-FARM

1 000 non-irrigated traditional farms

Low economic viability of the overall irrigation project

Mechanized activities for 600 farms Animal activities for 400 farms

1) Irrigation of 1 000 farms

2) Investment in the irrigation scheme

3) Increased crop production

4) Increased use of hired labour

NGAMO4

Analyse the financial viability of newly established coffee farm in a phased mode

COFF-FARM

The coffee activity starts on
0.2 ha in year 1;
0.3 ha in year 2;
& 0.5 ha in year 3

No activities are run without project

No major constraints highlighted

Coffee production COFF.A

A coffee production activity is started on unused land Coffee planting starts in a phased mode


Analyse overall viability of a zone with 250 farms joining the project in a phased mode

COFF-FARM
+ zone PROJECT

100 farms join the project in year 1 150 join the project in year 2

No activities are run without project

No major constraints highlighted

Coffee production COFF.A

250 new farms are established in a phased mode

1. NGAMO 1


1.1 Background
1.2 Data Set
1.3 Question Set
1.4 Hints
1.5 Solution Set
1.6 Trainer's Notes

1.1 Background

A project formulation mission in the region of NGAMO, about two hours drive from the capital, identified one of the causes of poor agricultural development as being a lack of irrigation water in the dry season and an irregular supply of water for the rest of the year.

On these grounds, a project formulation team is designing a development project to restructure the irrigation network in the lowlands near to the river. Of course, one of the tasks of the formulation team is to analyse the impact of the envisaged project options of the farmers in the zone.

To accomplish this task, the analysts decide to classify the existing farms according to their agronomic and socio-economic features to identify some farm models. Each farm model would allow a schematic description of the farming activities, investments and other socio-economic features for this class of farm, both in without-project (WoP) and with-project (WiP) scenarios. The likely impact of the project on such enterprises would then be used to investigate the overall impact of the project by aggregation, considering the existing number of farms described by each farm model.

In the project area there are about 1 000 farms, characterized by a relative agronomic, socio-economic and cultural homogeneity. This homogeneity allows the analysts to work with only a single farm model that satisfactorily describes almost all the farms.

The prevailing type of farm in the zone is one of about 5.5 ha, run by one household. Currently, during the humid season, most of the farmers grow paddy rice, both traditional and high yielding varieties (HYVs). This crop is used mainly for home consumption. In the dry season, only a portion of land is cultivated and then planted to sunflower and sesame. This practice is predicted to continue in the future if a project is not implemented.

The irrigation project would hopefully allow both an intensification of crops and an increase of yields. For paddy, an increase of about 15% is envisaged, therefore improving the food supply for the rural people. Furthermore, the project should allow a sharp increase in sunflower and sesame production, typical cash crops, thus increasing the purchasing power of farming households. Due to the increase in cash crops, it is crucial that marketing issues be addressed by the project formulation team. The existence of suitable commodity chains should be ascertained and actions planned to build up or reinforce them as necessary.

Without the project, almost all the agricultural tasks are carried out by the household labour force, estimated by the analysts to be 555 working days. Currently, there is no use of hired labour.

Even if the farms in the project area are very similar, some differences can be seen. Only some households have bullocks at their disposal, which provide animal traction for agricultural work and transportation. This uneven distribution of animals, however, does not cause major problems in the project zone, because a market for animal traction services is well developed. Indeed, the observed market price of the animal services corresponds to the opportunity cost of renting out animals.

To assess the viability of the project, data on the activities of the selected farm model, in both WiP and WoP scenarios have been collected and forecasted. They are considered in detail below.

1.2 Data Set


1.2.1 Tabulated data used as the basis for calculations

1.2.1 Tabulated data used as the basis for calculations

Table 1 reports the forecasts for the cultivated area with and without the irrigation project. Notice that the project will lead to: (i) a shift of land use from traditional paddy to high yield (HY) paddy; and (ii) a progressive increase in the area of land cultivated in the dry season.

Table 1 - Plan TRADIT - forecast of the cultivated area (hectares)

Without the project, the cultivated area and its use is deemed to continue unchanged for the duration of the project.

Table 1a
Plan TRADIT - forecast of the cultivated area WiP (hectares)

Item

Code

Years



1

2

3

4

5

6-15

a) Humid season









- high yield paddy

CUL-HYV

3.85

3.85

3.90

3.95

4.00

4.05


- traditional paddy

CUL-TRA

1.65

1.65

1.60

1.55

1.50

1.45

Total


5.50

5.50

5.50

5.50

5.50

5.50

b) Dry season









- sunflower

CUL-SUN

0.10

0.10

0.20

0.25

0.35

0.45


- sesame

CUL-SES

1.10

1.10

1.25

1.45

1.65

1.80

Total


1.20

1.20

1.45

1.70

2.00

2.25



Table 1b - Plan TRADIT - forecast of the cultivated area WoP (hectares)

Note: The arrows mean that the coefficients are constant for the remaining periods.

Table 2 - Inputs and outputs per hectare for high yield paddy variety (CUL-HYV)

As far as paddy is concerned, the project will lead to a progressive increase in yields from year 3.

Table 2a
WiP HY paddy variety (CUL-HYV)

Item

Code

Years



1

2

3

4

5

6-15

Seeds (Kg)

S-PADDY

70.0

70.0

70.0

70.0

70.0

70.0

Urea (kg)

UREA

112.0

112.0

112.0

112.0

112.0

112.0

TSP (kg)

TSP

56.0

56.0

56.0

56.0

56.0

56.0

MOP (kg)

MOP

28.0

28.0

28.0

28.0

28.0

28.0

Manure (barrows)

MANURE

1.0

1.0

1.0

1.0

1.0

1.0

Pesticides (francs)

PESTIC

5.0

5.0

5.0

5.0

5.0

5.0

Workforce (man/days)

LABOUR

102.0

102.0

100.0

100.0

100.0

100.0

Draft Animals (days)

BULLOCKS

32.0

32.0

32.0

32.0

32.0

32.0

Yield Paddy H.Y. (tons)

Pad-HY

3.6

3.6

3.8

3.8

4.2

4.2


Table 2b - WoP HY paddy variety (CUL-HYV)

Table 3 - Inputs and outputs per hectare for traditional paddy (CUL-TRA)

The project will also lead to an increase in yields of traditional paddy, but this increase will need to be supported by an increased use of labour and draught animals.

Table 3a
WiP traditional paddy (CUL-TRA)

Item

Code

Years



1

2

3

4

5

6-15

Seeds (Kg)

S-PADDY

46.0

46.0

46.0

46.0

46.0

46.0

Urea (kg)

UREA

28.0

28.0

28.0

28.0

28.0

28.0

TSP (kg)

TSP

-

-

-

-

-

-

MOP (kg)

MOP

-

-

-

-

-

-

Manure (barrows)

MANURE

1.0

1.0

1.0

1.0

1.0

1.0

Pesticides (francs)

PESTIC

5.0

5.0

5.0

5.0

5.0

5.0

Workforce (man/days)

LABOUR

68.0

68.0

86.0

86.0

86.0

86.0

Draft Animals (days)

BULLOCKS

22.0

22.0

26.0

26.0

26.0

26.0

Yield Paddy Traditional (tons)

Pad-TRA

2.0

2.0

2.2

2.2

2.2

2.2


Table 3b - WoP traditional paddy (CUL-TRA)

Table 4 - Inputs and outputs per hectare for sunflower (CUL-SUN)

Sunflower yields will increase without any change in the inputs except the increased water available in the dry season. The forecast yields are shown below.

Table 4a
WiP sunflower (CUL-SUN)

Item

Code

Years



1

2

3

4

5

6-15

Seeds (Kg)

S-SUNF

11.0

11.0

11.0

11.0

11.0

11.0

Urea (kg)

UREA

84.0

84.0

84.0

84.0

84.0

84.0

TSP (kg)

TSP

56.0

56.0

56.0

56.0

56.0

56.0

MOP (kg)

MOP

28.0

28.0

28.0

28.0

28.0

28.0

Manure (barrows)

MANURE

-

-

-

-

-

-

Pesticides (francs)

PESTIC

5.0

5.0

5.0

5.0

5.0

5.0

Workforce (man/days)

LABOUR

32.0

32.0

50.0

50.0

50.0

50.0

Draft Animals (days)

BULLOCKS

12.0

12.0

18.0

18.0

18.0

18.0

Yield Sunflower (tons)

SUNF

0.8

0.8

0.8

1.2

1.2

1.2


Table 4b - WoP sunflower (CUL-SUN)

Table 5 - Inputs and outputs per hectare for sesame (CUL-SES)

The increased yields of sesame forecast with the project need to be supported by both an increase in man/days per hectare and an increase of days of draught animal use, as shown in the table below.

Table 5a
WiP sesame (CUL-SES)

Item

Code

Years



1

2

3

4

5

6-15

Seeds (Kg)

S-SESAME

15.0

15.0

17.0

17.0

17.0

17.0

Urea (kg)

UREA

84.0

84.0

84.0

84.0

84.0

84.0

TSP (kg)

TSP

56.0

56.0

56.0

56.0

56.0

56.0

MOP (kg)

MOP

-

-

-

-

-

-

Manure (barrows)

MANURE

-

-

-

-

-

-

Pesticides (francs)

PESTIC

20.0

20.0

20.0

20.0

20.0

20.0

Workforce (man/days)

LABOUR

42.0

42.0

66.0

66.0

66.0

66.0

Draft Animals (days)

BULLOCKS

18.0

18.0

20.0

20.0

20.0

20.0

Yield Sesame (tons)

SESAME

0.2

0.2

0.4

0.6

0.6

0.6


Table 5b - WoP sesame (CUL-SES)

Table 6 - Prices of inputs and outputs

The prices, which are expressed in Francs monetary units, are assumed to remain constant for the time span of the project, both with and without project scenarios.

Table 6
Prices of inputs and outputs

Item

Code

Price Francs

Seeds H.Y.paddy (kg)

S-PADDY

0.60

Seeds trad. paddy (kg)

S-PADDY

0.60

Seeds sunflower (kg)

S-SUNF

6.00

Seeds sesame (kg)

S-SESAME

10.40

Urea (kg)

UREA

0.34

TSP (kg)

TSP

1.14

MOP (kg)

MOP

0.54

Manure (barrows)

MANURE

15.00

Pesticides (francs)

PESTIC

1.00

Hired workforce (man/day)

HIR-LAB

7.00

Workforce (man/day)

LABOUR

-

Draft Animals (days)

BULLOCKS

30.00

Land tax (francs)*

LAND-TAX

1.00

Irrigation tax (francs) *

IRR-TAX

1.00

Other (francs) *

OTHER

1.00

Paddy high yield (ton)

Pad-HY

441.0

paddy traditional (ton)

Pad-TRA

662.0

Sunflower (ton)

SUNF

4,550.0

Sesame (ton)

SESAME

7,674.0


Table 7 - Other data

In the WiP situation, the farmers will be charged with an irrigation tax to partially recover the investment in the irrigation scheme. The project will also involve a progressive increase in other farm expenses, as summarized below.

Table 7a - Other data for WiP scenario

Table 7b - Other data for WoP scenario

1.3 Question Set

The project analyst is faced with the following set of questions:

Main questions

[inceput284](i) Define the feasibility in terms of labour requirements at farm level. Is the annual household labour force (555 man/days) sufficient to support the planned shifts of activity in the humid season and the increased land cultivated in the dry season?

(ii) Calculate the WiP needs of draught animal services at farm level.

· Does the project lead to a substantial change in the draught service requirements?

· Is this change likely to be sustainable for the farm?1

1. It is mandatory to go through the main questions to follow the whole flow of the NGAMO exercise.
Additional questions
(iii) Are the changes in the quantities of inputs and outputs likely to generate stocking facility problems for the farm?
· What main aspects should be verified by the formulation team in order to secure the marketing of the cash crops?
(iv) How do the costs, benefits and net cash flow change over the duration of the project?

(v) Calculate the ratios profits/household workforce and profits/land, both without project and at the full development of the project. How do they change?

(vi) From the Cost/Benefit table, derive the net cash flow and the net incremental cash flow in a full development year for the farmers hiring the bullocks, knowing that about 3t of paddy are home-consumed. Why in project analysis is it useful, besides costs and benefits flows, to also consider cash flows?

1.4 Hints

To work out the answers, follow the hints listed below2.

i. Codify all the goods, services, charges (inputs and outputs) to be used in the analysis (e.g., manure, paddy, irrigation tax, etc. For example, use the codification listed in the tables of the data set). Then enter each component following the instructions given in section 2.4.2, part 1 of the WinDASI manual.

ii. Create a commodity for each good and service and insert the appropriate price.

iii. Assign a code to the activities of the project, i.e., to all operations requiring some inputs and delivering one or more outputs (production of HY paddy, production of sesame, etc. For example, use the codification listed in the tables of the data set).

iv. Create the record of each activity, specifying the unit of the activity (hectares) and the technical coefficients of the activity, i.e., the quantity of each input and output for one unit of activity (hectare) for all the years of the project.

v. Create a record of the farm plan, named, for example, TRADIT, indicating the "quantity" of each activity per year, i.e., the number of hectares for each activity for a typical farm and the charges not related to any specific activity.

vi. Obtain the totals of inputs and outputs in physical terms for the plan TRADIT.

vii. For the plan TRADIT, obtain the totals of inputs and outputs in monetary terms, the net cash flow and the net incremental cash flow.

2. For steps 1 to 5, refer to Part 1 of the manual, especially the paragraph on "The components window." For steps 5 and 6, see Part 1, on "Calculations carried out by WinDASI".

1.5 Solution Set


1.5.1 Answer to question (i)
1.5.2 Answer to question (ii)
1.5.3 Answer to question (iii)
1.5.4 Answer to question (iv)
1.5.5 Answer to question (v)
1.5.6 Answer to question (vi)

1.5.1 Answer to question (i)

To answer Question 1, the inputs in physical units need to be analysed. They are reported in Table 8.

Table 8
Inputs requirements of the plan TRADIT in physical terms

Inputs.

Unit

Wo.P.

Years




1

2

3

4

5

6

7 - 15

BULLOCKS

DAYS

180.50

180.50

180.50

195.00

200.20

206.30

211.40

211.40

IRR-TAX

FRANC




110.00

110.00

110.00

110.00

110.00

LABOUR

DAYS

554.30

554.30

554.30

620.10

636.50

655.40

671.00

671.00

LAND-TAX

FRANC

28.00

28.00

28.00

28.00

28.00

28.00

28.00

28.00

MANURE

CART

5.50

5.50

5.50

5.50

5.50

5.50

5.50

5.50

MOP

KG

110.60

110.60

110.60

114.80

117.60

121.80

126.00

126.00

OTHER

FRANC

90.00

90.00

90.00

120.00

136.00

152.00

169.00

185.00

PESTIC

FRANC

50.00

50.00

50.00

53.50

57.75

62.25

65.75

65.75

S-PADDY

KG

345.40

345.40

345.40

346.60

347.80

349.00

350.20

350.20

S-SESAME

KG

16.50

16.50

16.50

21.25

24.65

28.05

30.60

30.60

S-SUNF

KG

1.10

1.10

1.10

2.20

2.75

3.85

4.95

4.95

TSP

KG

282.80

282.80

282.80

299.60

316.40

336.00

352.80

352.80

UREA

KG

578.20

578.20

578.20

603.40

628.60

658.00

683.20

683.20


The detail of the calculation of the input requirements in physical terms, such as the labour force requirements in the WoP situation, is shown in Table 9.

Table 9
Detail of the calculation of the WoP labour requirements in physical terms

WoP situation

Man/day/ha
(activity)
(a)

Ha
(plan)
(b)

man/day
(result)
(c = a * b)

1) Pad-HY

102.00

3.85

392.70

2) Pad-TRA

68.00

1.65

112.20

3) SESAME

42.00

1.10

46.20

4) SUNF

32.00

0.10

3.20

Total (from 1 to 4)



554.30


Notice that the labour requirements (row LABOUR) from year 3 are well above the available household labour. To fill this gap, some labour force must be hired. The calculation of the labour force to be hired is shown in Table 10.

Table 10
Hired labour requirements

Item

Years


1

2

3

4

5

6-15

Labour requirements (m/days)

554.3

554.3

620.1

636.5

655.4

671.0

Labour availability (man/days)

555.0

555.0

555.0

555.0

555.0

555.0

Hired-Labour (man/days)

-

-

65.1

81.5

100.4

116.0

Share of hir.lab.on tot.

0.00%

0.00%

10.50%

12.80%

15.32%

17.29%


The labour requirements for plan TRADIT are shown graphically in Figure 1.

Figure 1: Labour requirements for the plan TRADIT

1.5.2 Answer to question (ii)

As can be seen from Table 8, (row BULLOCKS), the requirement for draught animals will increase by about 17% in six years. The WiP and WoP situations are shown in Table 11 and depicted graphically in Figure 2.

Table 11
Draught animal requirements

Item

Years


1

2

3

4

5

6 - 15

WoP

180.50

180.50

180.50

180.50

180.50

180.50

WiP

180.50

180.50

195.00

200.20

206.30

211.40

Difference

0.00

0.00

14.50

19.70

25.80

30.90

Index WoP =100

100.00

100.00

108.03

110.91

114.29

117.12


Figure 2: Draught animal requirements with and without project

The increased requirements for draught animals could generate shortages in the medium term, particularly in the peak seasons. Some response should be envisaged, such as increasing the supply of draught animals or introducing some mechanization of agricultural activities3.

3. This issue will be addressed in the NGAMO 2 exercise.

1.5.3 Answer to question (iii)

Besides the changes in the inputs already considered, the only other significant changes are observed in the quantities of urea and TSP, which increase by about 25% and 15% respectively in six years. Little storage difficulties are however envisaged due to the distribution over the two cropping seasons of these changes and the formulation team foresees no difficulties in the supply of additional quantities of these items.

Concerning the outputs, the physical quantities4 are tabulated in Table 12, and shown graphically in Figures 3 and 4.

4. They are obtained using the suitable function, "Outputs - by quantity". See part 1 of the WinDASI manual.

Table 12
Physical outputs of the plan TRADIT

Output

Unit

WoP

Years




1

2

3

4

5

6 - 15

Pad-HY

Tons

13.86

13.86

13.86

14.82

15.01

16.8

17.01

Pad-TRA

Tons

3.3

3.3

3.3

3.52

3.41

3.3

3.19

SESAME

Tons

0.22

0.22

0.22

0.5

0.87

0.99

1.08

SUNF

Tons

0.08

0.08

0.08

0.16

0.3

0.42

0.54


The major change in the output is due to the high yield paddy, increasing by about 4t in six years. Some additional assessments of the transport and marketing facilities of the farmers could be required for a further refinement of project design. Also, sesame and sunflower production shows a sharp percentage increase in six years. These changes are, however, small in weight and should not lead to storage difficulties. In spite of that, due to the high value per ton of the sesame (almost twenty times the value of paddy), the storage facilities should secure it against theft and accidental loss.

Figure 3: Paddy production with and without project

Figure 4: Sesame and sunflower production with and without project

As sesame and sunflower are primarily cash crops, the feasibility (and success) of the project is very much linked to the possibility of disposing of this production on the market.

Therefore, as a first step, the project formulation team should verify that there will be a market for the additional production generated by the project, considering also the likely price of the product (or some transformation of it) to the final consumers; natural changes in demand, due to population dynamics (growth, migration); possible competition with the same products from other areas of production; and competition with substitutes (e.g., sunflower oil versus soybean oil) or possible synergies with complements.

Secondly, the team should verify that all the links in the commodity chains connecting producers to consumers would work properly. Notably, besides the possibilities of storage at farm level, the team will have to check the availability and suitability of transport facilities, processing agents, wholesale market places and agents or exporters, dealers and retailers.

1.5.4 Answer to question (iv)

The trends in costs and benefits by value are given in Table 13. Note that the benefits almost double in six years while the costs increase by only about 20% in the same period. Note also that the monetary flows corresponding to household labour are zero, having assigned a price of zero to household labour5. Thus, in Table 13 family labour is not included as a cost and, consequently, Net Benefits correspond to the income of the farm household.

5. Note, however, that this item needs to be adjusted, being the required quantity of labour unavailable at household level.

Table 13
Inputs and outputs of the plan TRADIT in monetary terms (francs)

Item

WoP

Years



1

2

3

4

5

6

7-15

OUTPUT









Pad-HY

6,112.3

6,112.3

6,112.3

6,535.6

6,619.4

7,408.8

7,501.4

7,501.4

Pad-TRA

2,184.6

2,184.6

2,184.6

2,330.2

2,257.4

2,184.6

2,111.8

2,111.8

SESAME

1,688.3

1,688.3

1,688.3

3,837.0

6,676.4

7,597.3

8,287.9

8,287.9

SUNF

364.0

364.0

364.0

728.0

1,365.0

1,911.0

2,457.0

2,457.0

Total

10,349.1

10,349.1

10,349.1

13,430.9

16,918.2

19,101.7

20,358.1

20,358.1

INPUTS and FACTORS









BULLOCKS

5415.0

5415.0

5415.0

5850.0

6006.0

6189.0

6342.0

6342.0

IRR-TAX

-

-

-

110.0

110.0

110.0

110.0

110.0

LABOUR

-

-

-

-

-

-

-

-

LAND-TAX

28.0

28.0

28.0

28.0

28.0

28.0

28.0

28.0

MANURE

82.5

82.5

82.5

82.5

82.5

82.5

82.5

82.5

MOP

59.7

59.7

59.7

62.0

63.5

65.8

68.0

68.0

OTHER

90.0

90.0

90.0

120.0

136.0

152.0

169.0

185.0

PESTIC

50.0

50.0

50.0

53.5

57.8

62.3

65.8

65.8

S-PADDY

207.2

207.2

207.2

208.0

208.7

209.4

210.1

210.1

S-SESAME

171.6

171.6

171.6

221.0

256.4

291.7

318.2

318.2

S-SUNF

6.6

6.6

6.6

13.2

16.5

23.1

29.7

29.7

TSP

322.4

322.4

322.4

341.5

360.7

383.0

402.2

402.2

UREA

196.6

196.6

196.6

205.2

213.7

223.7

232.3

232.3

Total Inputs and factors

6,629.6

6,629.6

6,629.6

7,294.9

7,539.7

7,820.5

8,057.8

8,073.8

Net Benefits

3,719.5

3,719.5

3,719.5

6,136.0

9,378.5

11,281.2

12,300.3

12,284.3

Net Incremental Benefits

-

-

-

2,416.5

5,659.0

7,561.7

8,580.8

8,564.8


Figure 5: Costs and benefits with and without project

The net incremental flows of benefits in the last row of Table 13 are obtained as the difference of the flow of the WiP period and the WoP flow of the same year. The WoP value is assumed to be constant across the periods and equal to the value in the first column (WoP column). Notice that the incremental net flows for years 1 and 2 are zero, as the flows of these periods equals the WoP situation. All the other annual net incremental flows are positive. This means that, in each period, the project will bring additional benefits to the farmer with respect to the WoP situation. Of course, the aggregate incremental benefits across all periods will be positive as well.

Figure 5 shows the costs and benefits of WoP and WiP, while Figure 6 illustrates the trends of WoP and WiP net cash flows, and the incremental ones.

Figure 6: Net Benefits WoP and WiP, and incremental Net Benefits

1.5.5 Answer to question (v)

The ratios Net Benefits/Household Labour and Net Benefits/Land both without project and at full development of the project are calculated in Table 14. Note that the project allows an increase in both the Net Benefits per unit of labour and per hectare. The irrigation leads almost to triple the average productivity of labour (in terms of Net Benefits)6. The average productivity of the land is also drastically increasing due to the intensification of cultivation on the same surface area.

6. Note, however, that the plan TRADIT uses more units of unpriced labour that those available at household level.

Table 14
Ratios Net Benefits/Labour and Net Benefits/Land

Item

WoP

WiP*

Net Benefits (M.u.)

3719.5

12284.3

Labour(man/day)

554.3

671.0

Land (hectares)

5.5

5.5

Ratio Net Benefits/Labour

6.7

18.3

Ratio Net Benefits/Land

676.3

2233.5

* at full development of the project

1.5.6 Answer to question (vi)

The cash flow of the farmers without bullocks can be derived from the costs and benefit table, with some adjustments.

The cash inflows in both WiP and WoP scenarios are derived from the benefit flows after adjusting for the circa 3t of paddy that used for household consumption.

The cash outflows can be assumed in this case to be equivalent to the costs.

Table 15 shows the calculations of the Net Benefits, net cash flows with and without project, net incremental benefits and net incremental cash flows. Note that it is assumed that the home consumption intake comes from the HY paddy (the paddy variety with the lowest market price). In our simple case, in the WoP scenario the only difference between the Net Benefits and the Net Cash Flows is due to home consumption of part of the paddy produced on the farm7. The same applies in the WiP scenario (column f), leading to net incremental benefits (column g) equal to net incremental cash flows (column h)8.

7. Differences between Net Benefits and Net Cash Flows could also be due to inputs both produced and consumed on the farm, such as animal traction and manure.

8. Notice that the itemization of the incremental benefits allows detection of a negative incremental benefit (a decrease in the production of paddy), to be correctly interpreted as a reduction of a benefit in the WiP context with respect to the WoP one.

Table 15
Net Benefits versus net cash flows with and without project


Without project

With project*

Incremental


Ben & Costs

Infl.& Outfl.

B&C. - I&O

Ben.& Costs

Infl.& Outfl.

B&C. - I&O

Ben.& Costs

Infl. & Outfl.


(a)

(b)

(c = a-b)

(d)

(e)

(f = d-e)

(g = d-a)

(h = e-b)

Benefits (inflows) Items









Pad-HY

6112.3

4789.26

1323.0

7,501.4

6178.4

1323.0

1,389.2

1,389.2

Pad-TRA

2184.6

2184.6

0.0

2,111.8

2111.8

0.0

- 72.8

- 72.8

SESAME

1688.3

1688.3

0.0

8,287.9

8287.9

0.0

6,599.6

6,599.6

SUNF

364.0

364.0

0.0

2,457.0

2457.0

0.0

2,093.0

2,093.0

TOTAL of Benefits (inflow) items

10349.1

9026.1

1323.0

20,358.1

19035.1

1323.0

10,009.0

10,009.0

Costs (outflows) items









BULLOCKS

5415.0

5415.0

0.0

6,342.0

6342.0

0.0

927.0

927.0

IRR-TAX

0.0

0.0

0.0

110.0

110.0

0.0

110.0

110.0

LAND-TAX

28.0

28.0

0.0

28.0

28.0

0.0

-

-

MANURE

82.5

82.5

0.0

82.5

82.5

0.0

-

-

MOP

59.7

59.7

0.0

68.0

68.0

0.0

8.3

8.3

OTHER

90.0

90.0

0.0

185.0

185.0

0.0

95.0

95.0

PESTIC

50.0

50.0

0.0

65.8

65.8

0.0

15.8

15.8

S-PADDY

207.2

207.2

0.0

210.1

210.1

0.0

2.9

2.9

S-SESAME

171.6

171.6

0.0

318.2

318.2

0.0

146.6

146.6

S-SUNF

6.6

6.6

0.0

29.7

29.7

0.0

23.1

23.1

TSP

322.4

322.4

0.0

402.2

402.2

0.0

79.8

79.8

UREA

196.6

196.6

0.0

232.3

232.3

0.0

35.7

35.7

TOTAL costs (outflow) items

6629.6

6629.6

0.0

8,073.8

8073.8

0.0

1444.2

1444.2

Net Benefits (net cash flows)

3719.5

2396.5

1323.0

12,284.3

10961.3

1323.0

8564.8

8564.8

* at full development of the project (year 6)
The cash flow analysis is useful to assess the financial feasibility of the project.

In the WiP scenario, the farmers must be left with enough cash, after paying for the investment goods and/or the instalments of the loan, to satisfy at least the basic needs of themselves and their households. If this happens, the project is feasible on financial grounds. This issue will be further addressed in the next steps of the exercise, mostly when dealing with investment and credit.

If we were to also consider the cash flows of the farmers who own bullocks, we should include a cash inflow for hiring out their bullocks and cash outflows for expenses such as veterinarian services and feeding costs.

1.6 Trainer's Notes


1.6.1 Frequently Asked Questions
1.6.2 Use of the Files for the Exercise NGAMO 1

The exercise NGAMO 1 in this current formulation has been kept as simple as possible to allow the trainees to retain the basic elements of agricultural project analysis. If the trainer feels it necessary, they could introduce some variations and further elements of discussion.

In principle, no constraint applies to changing the unit of measurement of activities, by, say, using the unit of output (tons) instead of the hectare. Of course, all the inputs should be related to such a unit. An additional item to include in the analysis would be the land required to support the production of one ton of each crop. To check the available land constraint, two kinds of land should probably be included: dry season land and humid season land.

The labour requirements could be better-specified month by month to schedule the use of hired labour.

To run the full NGAMO 1 exercise in a computer room with trainees with a weak knowledge of both the theory of project analysis and computing, a full day at least should be allowed.

When the trainees' background is weak, the trainer could deliver the questions one at a time and verify their execution step by step, rather than delivering the full question set at once.

The verification by hand of some sample calculations (notably the products of the goods per activity unit multiplied by the quantity of each activity multiplied by the prices) is extremely important to help the participants understand the way the software works.

1.6.1 Frequently Asked Questions

1. Where does the increased production come from? Stress the background of the exercise, reminding them that NGAMO is an irrigation project where the project is supposed to deliver the irrigation system free of charge (except IRR-TAX).

2. Incremental benefits with negative values (the case of traditional paddy production) are commonly rationalized by the participants as typing errors or software bugs. They are indeed reductions in benefits in the WiP situation compared to the WoP situation.

3. The interpretation of the "additional annual balance". It must be emphasized that this balance is an incremental one, i.e., calculated as a difference with respect to the WoP scenario.

Some parts of the exercise, notably all the additional questions, can be skipped without hampering the flow of the exercise. In addition, Question (vi) can be postponed, because the discussion of the relationships between Net Benefits and net cash flows can be addressed in the NGAMO 2 exercise, when dealing with credit issues.

The use of a spreadsheet can be helpful as a support for verifying the results of the other calculations made by WinDASI.

Further discussions can compare the farmers with bullocks to the farmers without, looking at the impact on these two categories of the increased needs of animal traction resulting from the project.

1.6.2 Use of the Files for the Exercise NGAMO 1

The set of files complementing NGAMO1 may be used step-by-step by the trainer as follows:

Step 1

After explaining the general framework of the NGAMO exercise, the trainer may start the exercise NGAMO1. NGAMO1 starts with the empty (default) file. The trainees are required to enter the commodity data.

Step 2

If possible, the trainer should show how to do this by means of a PC projector, and/or by directly assisting the trainees.

Step 3

After checking the progress of their work, the file NGAMO1a.WDS, which already contains the data-set of the commodities, may be loaded. In this file the activities of the traditional farm are created.

Step 4

At this stage the file NGAMO1b.WDS has to be loaded. In the file NGAMO1b.WDS, the plan TRADIT is created.

The results of the data entry may be checked with the full data-set file NGAMO1.WDS. This file may be used by all the trainees to run the required calculations.

The above steps are summarised in Table 16.

Table 16
Files for the Exercise NGAMO1

Step

File to be used

File content

Task to accomplish in the file

1

Empty (default) file

Nothing

Insert the set of commodities

2

NGAMO1a.WDS

The set of commodities

Create the activities

3

NGAMO1b.WDS

The set of commodities and the traditional activities

Create the plan TRADIT

4

NGAMO1.WDS

The full NGAMO1 data-set

Run all the required calculations

2. NGAMO 2


2.1 Background
2.2 Data Set
2.3 Question Set
2.4 Hints
2.5 Solution Set
2.6 Trainer's Notes

2.1 Background

The irrigation scheme rehabilitation project analysed in the previous NGAMO 1 exercise has raised two major problems at the farm level:

· excess demand of labour compared with the supply available from the farm household; and

· a lack of draught animals in the peak periods.

According to the project experts, these issues may put at risk the achievement of the project's objectives, and must therefore be resolved. Hence, it is suggested that the following adjustments should be made to the project concept developed in NGAMO1:
i. the lack of household labour at farm level has to be solved by hiring some labour force from outside the farm;

ii. a number of farmers should purchase a power-tiller each, in order to overcome the problem of shortage of draught animals; and

iii. given that farmers cannot afford to pay for the whole investment, a credit component should also be added to the project.

This exercise aims to analyse the implications of these changes in terms of:
i. viability to the farmers of the irrigation project, once the hired labour force is introduced;

ii. viability to the farmers of the mechanization; and

iii. credit requirements and the impacts on project feasibility and profitability.

2.2 Data Set

To address the issues listed above, the following actions need to be carried out by the formulation team:

· According to the requirements for hired labour identified in NGAMO1, the hired labour component will be added to the plan TRADIT to generate a new plan (e.g., AN-FARM). Table 18 shows the price of hired labour.

· A new plan (e.g., MEC-FARM) has to be developed for the irrigated mechanized farm model. It is assumed that mechanization will not affect yields. Moreover, it is assumed that hired labour requirements for the mechanized farm model is the same as for the non-mechanized model, i.e., mechanization does not affect labour requirements, but only draught services. The mechanized farm model includes the investment component, and the four mechanized activities (high yield paddy, traditional paddy, sunflower and sesame), which in turn include the cost of utilization of the power tiller. To build the mechanized farm model, the following components have to be taken into account:

a. Cost of power-tiller utilization. Table 18 shows the list of commodities to be considered in the NGAMO2 exercise, which includes the cost of power tiller utilization (TRACTOR).

b. Investment. One power-tiller per farm. Farmers are supposed to purchase one power-tiller in the first year of the project. Its cost is estimated at Francs 20 000. The characteristics of the investment are displayed in Table 19.

c. Mechanized activities. Four new activities will be created, based on irrigated and mechanized technology. Tables 20a-d show the coefficients of inputs and outputs for each individual activity in the WoP and WiP situations.

d. Other costs. Land tax, irrigation tax, and other expenses are the same as in NGAMO1. They are reported in Table 21.

e. Land utilization. Land use is unaffected by mechanization, and the same areas are used for the same crops as in the plan TRADIT. Land utilization by activity is reported in Table 22.

f. Credit. As mentioned earlier, a credit component is added to the project, as farmers require some external financial resources to purchase the tiller. It is assumed that 95% of the total cost of the tiller will be financed by the credit institution. The credit and reimbursement conditions likely to be suitable for the envisaged investment are presented in Table 23.

Before displaying the data set for NGAMO2 exercise, the list of codes is presented (Table 17). New entries (those not already used in NGAMO1) are in boldface type.

Table 17a-d - Updated list of codes

Table 17a
Commodities

Name

Code

High Yield Paddy
Paddy Traditional
Seed - Paddy
Sunflower
Seed - Sunflower
Sesame
Seed - Sesame
Urea
TSP [triplesuperphosphate]
MOP [muriate of potash]
Manure
Draught Animals
Hired Labour
Pesticides
Workforce
Land-tax
Irrigation Tax
Other Expenses
Power-tiller cost of utilization

Pad-HY
Pad-TRA
S-PADDY
SUNF
S-SUNF
SESAME
S-SESAME
UREA
TSP
MOP
MANURE
BULLOCKS
HIR-LAB
PESTIC
LABOUR
LAND-TAX
IRR-TAX
OTHER
TRACTOR

Table 17b
Investments

Name

Code

Power-Tiller Investment

TRACT-I

Table 17c
Activities

Name

Code

Irrigated Non-Mechanized HY Paddy Production
Irrigated Non-Mechanized TRA Paddy Production
Irrigated Non-Mechanized Sunflower Production
Irrigated Non-Mechanized Sesame Production
Irrigated Mechanized HY Paddy Production
Irrigated Mechanized TRA Paddy Production
Irrigated Mechanized Sunflower Production
Irrigated Mechanized Sesame Production

CUL-HYV
CUL-TRA
CUL-SUN
CUL-SES
MEC-HYV
MEC-TRA
MEC-SUN
MEC-SES

Table 17d
Plans

Name

Code

Irrigated Animal Traction Farm Model
Irrigated Mechanized Farm Model

AN-FARM
MEC-FARM

Table 18
Commodity financial prices (inputs and outputs)

Item

Code

Price

Seeds - HY paddy (kg)
Seeds - Traditional paddy (kg)
Seeds - Sunflower(kg)
Seeds - Sesame (kg)
Fertilizer - Urea (kg)
Fertilizer - TSP [triplesuperphosphate] (kg)
Fertilizer - MOP [muriate of potash] (kg)
Fertilizer - manure (per cart)
Pesticide (Francs)
Hired labour (per day)
Workforce - Family (per day)
Draught animals (per day)
Power-tiller (per hour)

S-PADDY
S-PADDY
S-SUNF
S-SESAME
UREA
TSP
MOP
MANURE
PESTIC
HIR-LAB
LABOUR
BULLOCKS
TRACTOR

0.60
0.60
6.00
10.40
0.34
1.14
0.54
15.00
1.00
7.00
-
30.00
2.00

Yield - HY paddy (ton)
Yield - Traditional paddy (ton)
Yield - Sunflower (ton)
Yield - Sesame (ton)

PAD-HY
PAD-TRA
SUNF
SESAME

441
662
4 550
7 674

Table 19
Investment dataset (Code: TRACT-I)

Name

Parameters

Life time (years)

8

Price (from Year 1 to Year 15) (Francs)

20 000

Maintenance (% of cost)

10%

Lag period for maintenance (years)

1

Residual value (% of cost)

10%

Contingency costs (% of cost)

5%

Note: The entries in boldface are new entries, i.e., those not used previously in NGAMO1.
Table 20a-d - Activities, for 1. WiP and 2. WoP situations

Table 20a
1. Mechanized HY paddy (MEC-HY) WiP

Item

Code

Year



1

2

3

4

5

6

7 - 15

Seed (kg)
Urea (kg)
TSP (kg)
MOP (kg)
Manure (carts)
Pesticide (Francs)
Workforce (workdays)
Power-tiller (hours)
Draught animals (days)

S-PADDY
UREA
TSP
MOP
MANURE
PESTIC
LABOUR
TRACTOR
BULLOCKS

70.0
112.0
56.0
28.0
1.0
5.0
102.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
102.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
100.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
100.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
100.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
100.0
64.0
-

70.0
112.0
56.0
28.0
1.0
5.0
100.0
64.0
-

Yield - HY paddy (tons)

PAD-HY

3.6

3.6

3.8

3.8

4.2

4.2

4.2


Table 20a - 2. Mechanized HY paddy (MEC-HY) WoP

Table 20b
1. Mechanized traditional paddy (MEC-TRA) WiP

Item

Code

Year



1

2

3

4

5

6

7-15

Seed (kg)

S-PADDY

46.0

46.0

46.0

46.0

46.0

46.0

46.0

Urea (kg)

UREA

28.0

28.0

28.0

28.0

28.0

28.0

28.0

TSP(kg)

TSP

-

-

-

-

-

-

-

MOP (kg)

MOP

-

-

-

-

-

-

-

Manure (carts)

MANURE

1 0

1 0

1 0

1 0

1 0

1 0

1 0

Pesticide (Francs)

PESTIC

50

50

50

50

50

50

50

Workforce (workdays)

LABOUR

68.0

68.0

86.0

86.0

86.0

86.0

86.0

Power-tiller (hours)

TRACTOR

44.0

44.0

52.0

52.0

52.0

52.0

52.0

Draught animals (days)

BULLOCKS

-

-

-

-

-

-

-

Yield - trad paddy (tons)

PAD-TRA

20

20

22

22

22

22

22


Table 20b - 2. Mechanized traditional paddy (MEC-TRA) WoP

Table 20c
1. Mechanized sunflower (MEC-SUN) WiP

Item

Code

Year



1

2

3

4

5

6

7-15

Seed (kg)

S-SUNF

11 0

11 0

11 0

11 0

11 0

11 0

11 0

Urea (kg)

UREA

84.0

84.0

84.0

84.0

84.0

84.0

84.0

TSP(kg)

TSP

56.0

56.0

56.0

56.0

56.0

56.0

56.0

MOP (kg)

MOP

28.0

28.0

28.0

28.0

28.0

28.0

28.0

Manure (carts)

MANURE

-

-

-

-

-

-

-

Pesticide (Francs)

PESTIC

50

50

50

50

50

50

50

Workforce (workdays)

LABOUR

32.0

32.0

50.0

50.0

50.0

50.0

50.0

Power-tiller (hours)

TRACTOR

24.0

24.0

36.0

36.0

36.0

36.0

36.0

Draught animals (days)

BULLOCKS

-

-

-

-

-

-

-

Yield - sunflower (tons)

SUNF

0.8

0.8

0.8

1.2

1.2

1.2

1.2


Table 20c - 2. Mechanized sunflower (MEC-SUN) WoP

Table 20d
1. Mechanized sesame (MEC-SES) WiP

Item

Code

Year



1

2

3

4

5

6

7-15

Seed (kg)

S-SESAME

15.0

15.0

17.0

17.0

17.0

17.0

17.0

Urea (kg)

UREA

84.0

84.0

84.0

84.0

84.0

84.0

84.0

TSP (kg)

TSP

56.0

56.0

56.0

56.0

56.0

56.0

56.0

MOP (kg)

MOP

-

-

-

-

-

-

-

Manure (carts)

MANURE

-

-

-

-

-

-

-

Pesticide (Francs)

PESTIC

20.0

20.0

20.0

20.0

20.0

20.0

20.0

Workforce (workdays)

LABOUR

42.0

42.0

66.0

66.0

66.0

66.0

66.0

Power-tiller (hours)

TRACTOR

36.0

36.0

40.0

40.0

40.0

40.0

40.0

Draught animals (days)

BULLOCKS

-

-

-

-

-

-

-

Yield - sesame (tons)

SESAME

0.2

0.2

0.4

0.6

0.6

0.6

0.6


Table 20d - 2. Mechanized sesame (MEC-SES) WoP

Table 21a - Plan MEC-FARM (WiP) - 1. Other cost items - WiP

Table 21b - Plan MEC-FARM (WoP) - 2. Other cost items - WoP

Table 22a
Plan mechanized farm (MEC-FARM) land utilization (ha.) (WiP)

1. WiP situation

Item

Activity code

Year



1

2

3

4

5

6

7-15

(a) Humid season

HY paddy

MEC-HYV

3.85

3.85

3.90

3.95

4.00

4.05

4.05

Traditional paddy

MEC-TRA

1.65

1.65

1.60

1.55

1.45

1.45

1.45

Total


5.50

5.50

5.50

5.50

5.50

5.50

5.50

(b) Dry season

Sunflower

MEC-SUN

0.10

0.10

0.20

0.25

0.35

0.45

0.45

Sesame

MEC-SES

1.10

1.10

1.25

1.45

1.65

1.80

1.80

Total


1.20

1.20

1.45

1.70

2.00

2.25

2.25



Table 22b - Plan mechanized farm (MEC-FARM) land utilization (ha.) (WoP) - 2. WoP situation - 2. WoP situation

Table 23
Credit component dataset

Item

Code

Credit

Parameters

Amount of loan (principal) (L)

PRINCIPAL

% of investment

95

Duration (D)


years

5

Interest rate (I)

INTEREST

%

10

Grace period (GP)


years

1

Payment of interest during grace period


yes/no

yes

Constant Capital Reimbursement (CCR)

INSTALM

yes/no

yes


2.3 Question Set

The analyst is required to provide the decision-makers and farmers with information on expected project outcomes.

Main questions

(i) Once the hired labour force is introduced at farm level, is it financially viable for the farmer (AN-FARM) to enter the irrigation project? Assuming a 12% actualization rate and a project length of 15 years, work out its cash flow.

(ii) After inserting the MEC-FARM model, and after checking that the data has been entered correctly, compare inputs and outputs in physical terms of the plan MEC-FARM with those of the plan AN-FARM. What are the differences?

(iii) Assuming 12% discount rate and a timespan of 15 years, is the proposed mechanized farm model (MEC-FARM) financially viable and profitable to farmers, compared with the WoP situation? Work out its cash flow.

Additional Questions
(iv) How do the Net Benefits evolve during the lifetime of the project?

(v) How does the credit component affect the cash situation of the farmers? Compare the project indicators before and after financing.

(vi) In the plan AN-FARM, what is the maximum irrigation tax the farmer is willing to pay to enter the irrigation project? (Always assuming the same discount rate and the timespan of the projects).

(vii) Is the second farm model (MEC-FARM) more viable and profitable to farmers than the first farm model (AN-FARM)?

2.4 Hints

Most of the data necessary to develop the exercise with WinDASI have already been inserted during the NGAMO1 exercise. For the NGAMO2 analysis, the user should therefore duplicate the NGAMO1 file (to duplicate files, see section 5.1 in part 1 of the WinDASI manual) and provide the entry of additional data as required in the following steps:

i. Create a new plan equal to TRADIT (call it, e.g., AN-FARM). Codify the new commodity "HIR-LAB" and insert the hired labour requirements as calculated in NGAMO1 at plan level, compute the financial indicators of the new plan and the suitable critical changes and switching values. Recall that in WoP the hired labour requirements are zero, as the household labour is just sufficient to run the current agricultural activities.

ii. The answer to question (i) can be obtained by calculating the project indicators of the plan AN-FARM.

iii. Insert the cost of use of the power-tiller (commodity TRACTOR).

iv. Insert the mechanized activities using the appropriate "duplicate" function of WinDASI to duplicate the non-mechanized activities (to duplicate activities see section 3.3 in part 1 of WinDASI the manual), assign the new name (boldfaced in Table 17c) and add the cost of use for the power-tiller.

v. Insert the investment with its code (Table 17b) as well as all its characteristics (Table 19).

vi. After inserting in the database the cost of use of the power-tiller, the mechanized activities and the investment, create a new plan MEC-FARM using the land utilization data in Table 22. Recall that the WoP situation of MEC-FARM assumes non-mechanized activities, as used in the plan AN-FARM. Also include investment in the plan.

vii. The answer to question (ii) can be obtained by calculating the MEC-FARM inputs and outputs in physical units, using the relevant WinDASI function.

viii. The answer to question (iii) is easily obtained by computing the Net Present Value and the project indicators of the plan MEC-FARM.

ix. Concerning question (iv), the trend of the Net Benefits can be analysed by looking at the results obtained from the plan MEC-FARM

x. The flows of the credit component can be calculated on a spreadsheet, using a table similar to the following:

Table 24
Credit component items

Item

Code

WoP

Year




1

2

3

4

5

6

7

Principal

PRINCIPAL

-

19 000

0

0

0

0

0

0

Payment of principal

INSTALM

-








Payment of interest

INTEREST

-








Total debt service


Outstanding balance at end of period



New "commodities" called, for example, PRINCIPAL, INSTALM and INTEREST, have to be added, with the value set to 1 (in monetary units). A new plan, called, for example, MEC-FARM-LR, identical to MEC-FARM, could be created. The credit component will be added to the plan by means of a dummy activity that includes the credit-related items. The project indicators of the plan MEC-FARM-LR can then be compared with those of the plan MEC-FARM.

xi. The answer to question (vi) is easily obtained by using the Switching Value (SV) of the irrigation tax, (see 4.2.2, Project Indicators in Part 1 of the WinDASI manual).

xii. The answer to question (vii) can be obtained by looking at the project indicators of the plan MEC-FARM and comparing them with those of the plan AN-FARM (recall that, for both of them, the WoP situation is the non-irrigated non mechanized situation).

2.5 Solution Set


2.5.1 Answer to question (i)
2.5.2 Answer to question (ii)
2.5.3 Answer to question (iii)
2.5.4 Answer to question (iv)
2.5.5 Answer to question (v)
2.5.6 Answer to question (vi)
2.5.7 Answer to question (vii)

2.5.1 Answer to question (i)

After inserting the hired labour requirements costs in the plan TRADIT to obtain the plan AN-FARM, an analysis of the overall flow of Net Benefits is required. The costs and benefits are shown in Table 25. Note that hired labour now appears among the cost items.

Table 25
Costs and benefits of the plan AN-FARM


WoP

Years



1

2

3

4

5

6

7 - 15

OUTPUT









Pad-HY

6,112.3

6,112.3

6,112.3

6,535.6

6,619.4

7,408.8

7,501.4

7,501.4

Pad-TRA

2,184.6

2,184.6

2,184.6

2,330.2

2,257.4

2,184.6

2,111.8

2,111.8

SESAME

1,688.3

1,688.3

1,688.3

3,837.0

6,676.4

7,597.3

8,287.9

8,287.9

SUNF

364.0

364.0

364.0

728.0

1,365.0

1,911.0

2,457.0

2,457.0

TOTAL

10,349.1

10,349.1

10,349.1

13,430.9

16,918.2

19,101.7

20,358.1

20,358.1

INPUTS and FACTORS









BULLOCKS

5415

5415

5415

5850

6006

6189

6342

6342

HIR-LAB

-

-

-

455.7

570.5

702.8

812

812

IRR-TAX

-

-

-

110

110

110

110

110

LABOUR

-

-

-

-

-

-

-

-

LAND-TAX

28

28

28

28

28

28

28

28

MANURE

82.5

82.5

82.5

82.5

82.5

82.5

82.5

82.5

MOP

59.72

59.72

59.72

61.99

63.5

65.77

68.04

68.04

OTHER

90

90

90

120

136

152

169

185

PESTIC

50

50

50

53.5

57.75

62.25

65.75

65.75

S-PADDY

207.24

207.24

207.24

207.96

208.68

209.4

210.12

210.12

S-SESAME

171.6

171.6

171.6

221

256.36

291.72

318.24

318.24

S-SUNF

6.6

6.6

6.6

13.2

16.5

23.1

29.7

29.7

TSP

322.39

322.39

322.39

341.54

360.7

383.04

402.19

402.19

UREA

196.59

196.59

196.59

205.16

213.72

223.72

232.29

232.29

TOTAL Inputs and factors

6,629.6

6,629.6

6,629.6

7,750.6

8,110.2

8,523.3

8,869.8

8,885.8

Net Benefits

3,719.5

3,719.5

3,719.5

5,680.3

8,808.0

10,578.4

11,488.3

11,472.3

Net Incremental Benefits

-

-

-

1,960.8

5,088.5

6,858.9

7,768.8

7,752.8


To judge the farmers' economic interest in joining the project, the Net Present Value (NPV) of the incremental Net Benefits must be calculated. Assuming an opportunity cost of capital of 12%, the incremental net discounted cumulated benefits over 15 years, i.e., the incremental NPV, is 33 385.6. It is positive, indicating that the project is economically viable for the farmer. Table 26 shows the incremental NPV, together with the incremental Net Benefits and the incremental net discounted benefits year by year.

Note that if the summary project indicators are calculated with the SV function, then both the incremental NPV and the Internal Rate of Return (IRR) are reported. In this case, the IRR is reported to be greater than 100%. This is due to the fact that since there is no investment there is no change in the sign of the net incremental flows (all of them are positive). This implies that no finite discount rate exists to lead to an incremental NPV = 0 (remember that the definition of the IRR of a project is the discount rate generating an NPV = 0 for a project. The IRR here is infinite.

Table 26
Net Incremental discounted benefits of the plan AN-FARM and incremental NPV
(Net Incremental Discounted Cumulated benefits at year 15)

Item

Years


1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Net incremental benefits

-

-

1,960.8

5,088.5

6,858.9

7,768.8

7,752.8

7,752.8

7,752.8

7,752.8

7,752.8

7,752.8

7,752.8

7,752.8

7,752.8

Discount factor (@12%)

0.893

0.797

0.712

0.636

0.567

0.507

0.452

0.404

0.361

0.322

0.287

0.257

0.229

0.205

0.183

Net incremental discounted benefits (@12%)

-

-

1,395.7

3,233.8

3,891.9

3,935.9

3,507.0

3,131.2

2,795.7

2,496.2

2,228.7

1,989.9

1,776.7

1,586.4

1,416.4

Net incremental discounted benefits

-

-

1,395.7

4,629.5

8,521.4

12,457.3

15,964.3

19,095.5

21,891.2

24,387.4

26,616.1

28,606.1

30,382.8

31,969.2

33,385.6


2.5.2 Answer to question (ii)

Once all the data have been entered in WinDASI, calculations can be run to provide the decision-makers and farmers with the inputs and outputs in physical units.

Table 27a
Plan MEC-FARM. Inputs, outputs and investments in physical units
1. Inputs

Item

Unit

WoP

Years




1

2

3

4

5

6

7-15

BULLOCKS

DAYS

180.50








HIR-LAB

DAYS




65.10

81.50

100.40

116.00

116.00

IRR-TAX

FRANC




110.00

110.00

110.00

110.00

110.00

LABOUR

DAYS

554.30

554.30

554.30

620.10

636.50

655.40

671.00

671.00

LAND-TAX

FRANC

28.00

28.00

28.00

28.00

28.00

28.00

28.00

28.00

MANURE

CART

5.50

5.50

5.50

5.50

5.50

5.50

5.50

5.50

MOP

KG

110.60

110.60

110.60

114.80

117.60

121.80

126.00

126.00

OTHER

FRANC

90.00

90.00

90.00

120.00

136.00

152.00

169.00

185.00

PESTIC

FRANC

50.00

50.00

50.00

53.50

57.75

62.25

65.75

65.75

S-PADDY

KG

345.40

345.40

345.40

346.60

347.80

349.00

350.20

350.20

S-SESAME

KG

16.50

16.50

16.50

21.25

24.65

28.05

30.60

30.60

S-SUNF

KG

1.10

1.10

1.10

2.20

2.75

3.85

4.95

4.95

TRACTOR

HR


361.00

361.00

390.00

400.40

412.60

422.80

422.80

TSP

KG

282.80

282.80

282.80

299.60

316.40

336.00

352.80

352.80

UREA

KG

578.20

578.20

578.20

603.40

628.60

658.00

683.20

683.20

Table 27b
Plan MEC-FARM. Inputs, outputs and investments in physical units
2. Outputs

Item

Unit

WoP

Years




1

2

3

4

5

6

7-15

Pad-HY

Ton

13.86

13.86

13.86

14.82

15.01

16.80

17.01

17.01

Pad-TRA

Ton

3.30

3.30

3.30

3.52

3.41

3.30

3.19

3.19

Sesame

Ton

0.22

0.22

0.22

0.50

0.87

0.99

1.08

1.08

Sunflow

Ton

0.08

0.08

0.08

0.16

0.30

0.42

0.54

0.54

Table 27c
Plan MEC-FARM Inputs, outputs and investments in physical units
3. Investments

Unit

WoP

Years



1

2 - 8

9

10 - 15

TRAC-I

0

1

0

1

0


Notice that, as expected, inputs and outputs of the plan MEC-FARM except for the Animal Draught Services (item BULLOCKS) and the cost of use for the tiller (item TRACTOR), are equal to those of AN-FARM. In addition, the plan MEC-FARM includes the investment component, i.e., the power tiller, at the beginning of the project and in year 9 (substitution of the worn-out power-tiller). Remember that the substitution of the equipment is automatically provided for by WinDASI on the basis of the foreseen duration of the investment.

2.5.3 Answer to question (iii)

To judge the economic viability to the farmers of the mechanized plan, the cost and benefit flows need to be analysed.

Table 28 shows the calculations of the streams of costs and benefits from current inputs, outputs and investment. The flows of the investment component are calculated on the basis of the parameters chosen by the analyst. The residual value at the end of the project is determined as shown in part 2 of the WinDASI manual.

Table 28a-b: Plan MEC-FARM Costs and benefits in monetary units (Francs)

Table 28a
Inputs and factors


WoP

Years



1

2

3

4

5

6

7-15

Pad-HY

6,112.3

6,112.3

6,112.3

6,535.6

6,619.4

7,408.8

7,501.4

7,501.4

Pad-TRA

2,184.6

2,184.6

2,184.6

2,330.2

2,257.4

2,184.6

2,111.8

2,111.8

Sesame

1,688.3

1,688.3

1,688.3

3,837.0

6,676.4

7,597.3

8,287.9

8,287.9

Sunflow

364.0

364.0

364.0

728.0

1,365.0

1,911.0

2,457.0

2,457.0

Total output

10,349.1

10,349.1

10,349.1

13,430.9

16,918.2

19,101.7

20,358.1

20,358.1

BULLOCKS

5,415.0

-

-

-

-

-

-

-

HIR-LAB

-

-

-

455.7

570.5

702.8

812.0

812.0

IRR-TAX

-

-

-

110.0

110.0

110.0

110.0

110.0

LABOUR

-

-

-

-

-

-

-

-

LAND-TAX

28.0

28.0

28.0

28.0

28.0

28.0

28.0

28.0

MANURE

82.5

82.5

82.5

82.5

82.5

82.5

82.5

82.5

MOP

59.7

59.7

59.7

62.0

63.5

65.8

68.0

68.0

OTHER

90.0

90.0

90.0

120.0

136.0

152.0

169.0

185.0

PESTIC

50.0

50.0

50.0

53.5

57.8

62.3

65.8

65.8

S-PADDY

207.2

207.2

207.2

208.0

208.7

209.4

210.1

210.1

S-SESAME

171.6

171.6

171.6

221.0

256.4

291.7

318.2

318.2

S-SUNF

6.6

6.6

6.6

13.2

16.5

23.1

29.7

29.7

TRACTOR

-

722.0

722.0

780.0

800.8

825.2

845.6

845.6

TSP

322.4

322.4

322.4

341.5

360.7

383.0

402.2

402.2

UREA

196.6

196.6

196.6

205.2

213.7

223.7

232.3

232.3

Total Inputs and factors

6,629.6

1,936.6

1,936.6

2,680.6

2,905.0

3,159.5

3,373.4

3,389.4

Table 28b
Investment outflows

Item

WoP

Years



1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Tiller (Investment)


20,000

-

-

-

-

-

-

-

20,000

-

-

-

-

-

-

Contingencies


1,000

-

-

-

-

-

-

-

1,000

-

-

-

-

-

-

Maintenance


-

2,000

2,000

2,000

2,000

2,000

2,000

2,000

-

2,000

2,000

2,000

2,000

2,000

2,000

Residual value


-

-

-

-

-

-

-

-

2,000

-

-

-

-

-

6,500

Total Investment outflows


21,000

2,000

2,000

2,000

2,000

2,000

2,000

2,000

19,000

2,000

2,000

2,000

2,000

2,000

-4,500


Table 29 shows the calculations of the Cumulated discounted incremental Net Benefits, including the investment component, for a project life of 15 years and a discount rate of 12%. Notice that at the end of the fifteenth year the cumulated discounted incremental Net Benefits are positive, i.e., the incremental NPV of the project, with respect to the WoP scenario, is positive.

Other things being equal, it is therefore worthwhile for the farmer to enter the irrigation project, even if mechanization is required.

Table 29
Plan MEC-FARM
Discounted incremental Net Benefits and NPV

Item

WoP

Years



1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Total benefits

10,349.1

10,349.1

10,349.1

13,430.9

16,918.2

19,101.7

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

20,358.1

Total inputs and factors costs

6,629.6

1,936.6

1,936.6

2,680.6

2,905.0

3,159.5

3,373.4

3,389.4

3,389.4

3,389.4

3,389.4

3,389.4

3,389.4

3,389.4

3,389.4

3,389.4

Total Investment costs


21,000.0

2,000.0

2,000.0

2,000.0

2,000.0

2,000.0

2,000.0

2,000.0

19,000.0

2,000.0

2,000.0

2,000.0

2,000.0

2,000.0

-4,500.0

Net benefits

3,719.5

-12,587.5

6,412.5

8,750.3

12,013.2

13,942.2

14,984.7

14,968.7

14,968.7

-2,031.3

14,968.7

14,968.7

14,968.7

14,968.7

14,968.7

21,468.7

Net incremental benefits

-

-16,307.0

2,693.0

5,030.8

8,293.7

10,222.7

11,265.2

11,249.2

11,249.2

-5,750.8

11,249.2

11,249.2

11,249.2

11,249.2

11,249.2

17,749.2

Discount factor (@12%)


0.893

0.797

0.712

0.636

0.567

0.507

0.452

0.404

0.361

0.322

0.287

0.257

0.229

0.205

0.183

Net increm. discounted benefits (@12%)

-

-14,559.8

2,146.8

3,580.8

5,270.8

5,800.6

5,707.3

5,088.6

4,543.4

-2,073.8

3,621.9

3,233.9

2,887.4

2,578.0

2,301.8

3,242.7

Net increm. disc. cumulated benefits

-

-14,559.8

-12,413.0

-8,832.1

-3,561.4

2,239.3

7,946.6

13,035.1

17,578.5

15,504.7

19,126.6

22,360.5

25,247.9

27,825.9

30,127.7

33,370.4


Some other summary project indicators, based on the flows of costs and benefits illustrated above, can be obtained using the WinDASI SV function, as described in section 4.2.2, Part 1 of the WinDASI manual. They are shown in Table 30. Notice that the incremental NPV is the difference between the cumulated discounted incremental benefits (43 424.3) and the cumulated discounted incremental costs, which include the investment (10 053.9).

Table 30
Plan MEC-FARM
Summary project indicators

Indicator

Coeff.

Discounted values

Switching value (SV)%

Critical change (CC)

Incremental discounted benefits

+1

43 424.3

-76.85

10 053

Incremental costs, incl. investments

-1

10 053.9

331.91

43 424

Incremental NPV


33 370.41



IRR


39.69



Benefit/cost ratio (BCR)


4.32




Two main aggregates are analysed: the incremental benefits and the incremental costs. The coefficient, (+1) or (-1), means that the item is a positive or negative component, respectively, of the incremental NPV. The reported values are incremental discounted flows. Table 28 also shows Switching Values (SV) and Critical Changes (CC). SV represents the percentage change that, other things being equal, would lead to a zero value of the NPV of the project. The change can be generated by either the indicated percentage change in each price of the components of the aggregate, or by the same percentage change in the quantities. For the interpretation of SVs and CCs, see the answer to question (ii) of the present exercise, and, for more detail, part 2 of the WinDASI manual. In the case of output, for example, a reduction in the incremental value of the output of 76.85% would lead, allowing for rounding, to an incremental benefit of 10 053 (the CC), i.e., 43 424*(1-0.7685) = 10 053.

If the project's incremental benefits were 10 053, other things remaining equal (i.e., with the NPV of the incremental costs at 10 053), the NPV of the project would have been zero (allowing for rounding).

The same reasoning applies to the SV and CC of the costs.

Notice that the project appears to be rather robust. It is unlikely, indeed, to incur a negative NPV because it is unlikely to have a reduction of incremental benefits of about 77% or an increase of costs of about 332%.

Table 30 also gives the Benefit/Cost Ratio (BCR) and the IRR.

The BCR is the ratio of the incremental discounted benefits to the incremental discounted costs. Being greater than 1, it indicates that the incremental NPV of the project is greater than 1, as already observed. The value 4.32 means that the incremental benefits are 4.32 times the incremental costs.

The IRR of 39.69% is far higher than the opportunity cost of capital (12%), signalling that the project is better than the best alternative investment available and that it is worthwhile participating.

Other aggregates can be analysed. In Table 31, the summary project indicators are reported for some aggregates.

Table 31
Plan MEC-FARM
Summary project indicators for other aggregates

Description

Coeff.

Discounted incr. values

Switching values %

Critical changes

ITEMS





PADDY

1

5729.55

-582.43

-27641.07

PRO.IRR

1

37694.78

-88.53

4,323.6

COSTS





BULLOCKS

-1

-36880.83

-90.48

-3511.06

HIR-LAB

-1

3689.05

904.58

37,059.5

OTH.COST

-1

945.53

3529.28

34,315.9

LABOUR

-1

0

Not Avail.

Not Avail.

FERTIL

-1

574.05

5813.16

33,944.5

SEEDS

-1

733.63

4548.68

34,104.1

TRACTOR

-1

5463.64

610.77

38,833.9

TRAC-I

-1

35528.86

93.92

68,897.6

Increm. Net Present Value (NPV)


33370.41



Internal Rate of Return (IRR)


39.69



Benefit/Cost Ratio (BCR)


4.32




Pay attention to the interpretation of the SV of the incremental benefits of paddy production.

In this case, the incremental benefits from paddy production (Francs 5 729.55) should go below zero (Francs - 27 641.1) which means that Paddy production should decrease below the WoP production level.

The list of incremental costs includes the item BULLOCKS, shown as a "negative incremental cost" (note the "-" sign of the coefficient and of the monetary value). Such an item represents a reduction in costs due to the avoided expenses for draught animals in the WiP situation with respect to the WoP situation.

2.5.4 Answer to question (iv)

From Table 26, it is apparent that the Net Benefits and the incremental Net Benefits to the farmer of the plan MEC-FARM show sharp changes. The evolution of the Net Benefits and the incremental Net Benefits is also illustrated in Figure 7.

Figure 7: Plan MEC-FARM Net Benefits and incremental Net Benefits

The same applies to the net cash flows and the net incremental cash flows, as long as the differences between Net Benefits and net cash flows are only due to the self-consumption of three tons of paddy, as pointed out in question (vi) of the NGAMO1 exercise. The net cash flow is reported in Table 32.

Table 32
Plan MEC-FARM
Net cash flows and net incremental cash flows

Period

Years


1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Net Benefit WiP

-12587.50

6,412.5

8,750.3

12,013.2

13,942.2

14,984.7

14,968.7

14,968.7

-2031.32

14,968.7

14,968.7

14,968.7

14,968.7

14,968.7

21,468.7

Net Benefit WoP

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

3,719.5

Self-consumption WiP & WoP*

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

1,323.0

Net cash flows WiP

-13910.50

5,089.5

7,427.3

10,690.2

12,619.2

13,661.7

13,645.7

13,645.7

-3354.32

13,645.7

13,645.7

13,645.7

13,645.7

13,645.7

20,145.7

Net cash flows WoP

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

2,396.5

Incremental net cash flows

-16307.00

2,693.0

5,030.8

8,293.7

10,222.7

11,265.2

11,249.2

11,249.2

-5750.82

11,249.2

11,249.2

11,249.2

11,249.2

11,249.2

17,749.2

* Self-consumption refers to 3 tons of HY paddy
The sharp changes in the Net Benefits and cash flow in the hands of the farmers are due to the influence of the investment, that depresses the flows in the year of disbursement and foster the flows in the subsequent ones. Figure 8 shows the evolution of these variables.

If the WoP situation is assumed to be a subsistence one, the same level of cash in the hands of the farmers should be assured in each period in the WiP situation. If the farmers do not have their own funds, it is clear that a credit component must be added to the project to make the mechanization feasible on financial grounds.

Figure 8: Plan MEC-FARM. Net cash flows and net incremental cash flows

2.5.5 Answer to question (v)

The credit component is designed on the basis of the data supplied in the data set, and set out in Table 33. Figure 9 indicates the incremental cash flows before financing, after financing and the credit component.

Table 33
Credit component for the plan Farm-AN1. At 10% interest rate

Item

Code

WoP

Years




1

2

3

4

5

6

7











Principal

PRINCIPAL

-

19000

0

0

0

0

0

0

Reimbursement of principal

INSTALM

-

0

0

-3800

-3800

-3800

-3800

-3800

Payment of interest

INTEREST

-

0

-1900

-1900

-1520

-1140

-760

-380

Total debt service

-

0

-1900

-5700

-5320

-4940

-4560

-4180

End of period outstanding balance

-

19000

19000

15200

11400

7600

3800

0


Figure 9: Plan MEC-FARM Incremental cash flows before financing, after financing and the credit component

The items of the credit components PRINCIPAL, INTEREST and INSTALM are entered in WinDASI and the new plan MEC-FARM-CR is created. The credit items are then aggregated (aggregate CREDITCOMP) in order to calculate their incremental NPV. Summary project indicators of MEC-FARM-CR are shown in Table 34.

Note that the aggregate CREDITCOMP appears both among the benefits (the item PRINCIPAL is an inflow to the project) and among the costs (the items INTEREST and INSTALM constitute outflows). Notice that the net contribution of the credit component to the incremental NPV of the plan is positive: Francs 16 964.29 - 15 956.92 = 1 007.37.

The incremental NPV of the plan with the credit component (Francs 34 378) is therefore greater than the incremental NPV of the plan without the credit component (Francs 33 370). This is because the interest rate applied to the loan (10%) is lower than the opportunity cost of capital to the farmer (12%).

As long as the interest rate of the financing plans is lower than the discount rate of the project, the overall credit component will result as a net benefit to the project. If the interest rate of the financing plan is greater than the discount rate of the project, the credit component will result in a net cost. If the rates are equal, the credit component is neutral. This can be verified as an exercise.

As far as the financing plan is concerned, the replacement of the power-tiller generates a fall in the cash flow that is not covered by the first loan. The project however generates some extra cash (in excess of household necessities) in the previous periods that could be capitalized and used at the moment of the second investment.

Table 34
Plan MEC-FARM, with credit component
Summary project Indicators

Description

Coeff.

Discounted incr.values

Switching values %

Critical changes

BENEFITS





PADDY

1

5729.55

-28,648

-600.01

CREDITCOMP

1

16964.29

-17,414

-202.65

PRO.IRR

1

37694.78

-91.2

3,317

COSTS





BULLOCKS

-1

-36880.83

-2,504

-93.21

HIR-LAB

-1

3689.05

931.89

38,067

CREDITCOMP

-1

15956.92

215.44

50,335

OTH.COST

-1

945.53

3635.82

35,323

LABOUR

-1

0

Not Avail.

Not Avail.

FERTIL

-1

574.05

5988.64

34,952

SEEDS

-1

733.63

4686

35,112

TRACTOR

-1

5463.64

629.21

39,841

TRAC-I

-1

35528.86

96.76

69,907

Increm. Net Present Value (NPV)


34377.77



Internal Rate of Return (IRR)


> 100



Benefit/Cost Ratio (BCR)


2.32




2.5.6 Answer to question (vi)

Assuming that all the Net Benefits obtained by a farmer participating in the project are due to the irrigation, the maximum annual irrigation tax the farmer is willing to pay can be estimated as the amount of money that offsets the Net Benefits the farmer obtains by joining the project. This amount of money is called the Critical Change (CC) for the irrigation tax, i.e., the value of the tax that equates to zero NPV of the project. If a charge lower than the CC is applied, the farmer will enjoy Net Benefits. If a charge greater than the CC were applied, the farmer would have losses from entering the project and it is unlikely that he would voluntarily participate.

The CC is obtained with the WinDASI SV function, as explained in section 4.2.2 of Part 1, and Part 2 of the WinDASI manual.

The SV of the item IRR-TAX is 5926.9. This means that if the item IRR-TAX increases by 5926.9%, the NPV of the project goes to zero. This is easily verified, as the discounted value of the item IRR-TAX is reported as Francs 563.29. Francs 563.29* (1 + 5926.9/100) = 563.29 * 60.269 = Francs 33948.93. In other words, the irrigation tax can be increased by a factor of about 60 before the incremental NPV becomes zero.

Similarly, the CC of the annual irrigation tax is:

CC = Francs (110 * 60.269) = Francs 6 629.59
When the irrigation tax exceeds Francs 6 629.59 per year (scheduled as in AN-FARM, i.e., starting from the third year) the incremental NPV of the project for the farmer is negative and there would be no incentive for him to participate in the project. This can be easily verified by modifying the plan AN-FARM accordingly and running a new calculation of the incremental NPV. The result will equal zero.

2.5.7 Answer to question (vii)

To compare the plan MEC-FARM with the plan AN-FARM, the incremental NPV with respect to the same WoP scenario of the two plans has to be compared. The incremental NPV of MEC-FARM is Francs 33 370.9, and the one of the AN-FARM is 33 385.6. Other things being equal, the plan AN-FARM is indeed very slightly more profitable to the farmer compared to the mechanized one, leaving about 15 Francs more in the hands of the farmer in 15 years. Unfortunately, due to lack of draught animals, not all the farmers can apply the AN-FARM plan. If some farmers, notably those without draught animals, try to avoid the mechanization element, it is likely that the price of draught services in the zone will increase due to lack of supply. On these grounds, it must be noted that the comparison between MEC-FARM and AN-FARM is made on the basis of the observed current prices, and any changes in the demand and supply relationships for draught animals may offset or even reverse the very slight advantages shown by the plan AN-FARM.

Alternatively, to answer question (v) on calculating the incremental flows of a plan with respect to a dynamic alternative represented by another plan, a zone could be created where the first plan appears with the coefficient (+1) in year 1 and onwards and the second plan with the coefficient (-1) for the same periods. In this case, the WoP column has to be put at zero for both plans.

2.6 Trainer's Notes


2.6.1 Frequently Asked Questions
2.6.2 Use of the Files for the Exercise NGAMO 2

The NGAMO2 exercise should be used after NGAMO1. If run completely, it requires on average about one full day of training. Many conceptual issues, such as opportunity costs, maximum willingness to pay for an input, design of financing plans, etc., can be discussed during the presentation of this exercise.

The main questions should be addressed before going to NGAMO3 exercise. The additional questions help in addressing some specific issues, such as the financing impact of the credit component, the use of switching values as price policy making devices, and comparing different alternative plans. The questions could be skipped without hampering comprehension of the logical sequence of the NGAMO exercises. In addition, the main questions are very useful in a second round of training sessions and in showing how to use WinDASI as an operational tool.

2.6.1 Frequently Asked Questions

1. Regarding the sign "+" of the item BULLOCKS (i.e., "-" times "-"): stress the fact that the item BULLOCKS has the sign "+" as it represents a reduction in costs with respect to the WoP situation, i.e., a positive component of the incremental value of the project.

2. Concerning the entry of investment data: the value of capital goods required must be entered only in the year or years where the investment is made. The user should:

(a) not fill the cells of all the periods the investment is in place. This would lead to a cumulative investment, period after period, e.g., one tiller the first period, an additional tiller in the second period, an additional third, tiller in the subsequent period, and so on; and

(b) not insert the investment when the capital equipment is worn out. This would lead again to a cumulative effect because renewal of capital equipment is done automatically on the basis of the duration parameter.

3. For calculation of the residual values and of the final values of the capital equipment, refer to the part 2 of the WinDASI manual for details.

4. Regarding definition of the WoP situation: it must be stressed that, as far as question (iv) is concerned, the incremental NPV refers to the mechanized irrigated situation in comparison with the non-irrigated non-mechanized situation. It does not refer to the mechanized irrigated situation versus the non-mechanized irrigated situation.

2.6.2 Use of the Files for the Exercise NGAMO 2

The set of files complementing NGAMO2 may be used step-by-step by the trainer as follows:

Step 1

The exercise NGAMO2 starts by using the full data-set file NGAMO1.WDS. In this file the hired labour component has to be inserted and the plan AN-FARM created.

Step 2

At this stage the file NGAMO2a.WDS may be loaded to check the correct creation of the plan AN-FARM and to run all the calculations involving the traditional farm. Then, the operational costs of the tractor TRACTOR are inserted as a commodity. Afterwards, the mechanised activities are created by duplicating the traditional activities and modifying them as required. (Should the entering of mechanised activities be considered unnecessary by the trainer, he/she may skip it by directly loading the file NGAMO2b.WDS)

Step 3

At this stage, the file NGAMO2b.WDS has to be loaded. Here the investment TRAC-I has to be inserted.

Step 4

To check the correct entry of the investment data, the file NGAMO2c.WDS has to be loaded. In this file the plan MEC-FARM has to be created using both the mechanised activities, the hired labour component and the investment component.

Step 5

After controlling the progress of the students in creating plans, the file NGAMO2d.WDS, which contains the plan MEC-FARM already inserted, may be loaded and used to run all the calculations concerning the mechanised farm. The next step is to calculate the credit component, manually or with the support of an Excel file. In this file the credit items must be inserted as commodities and the activity CREDIT must be created.

Step 6

The work executed in the previous step may be controlled by loading the file NGAMO2e.WDS. This file contains the activity CREDIT that is already complete and may be used to create the plan MEC-FARM-CR. This plan can be created either by modifying the plan MEC-FARM thus adding to the credit component, or by duplicating it (manually).

Step 7

The full data-set file NGAMO2.WDS may be loaded at this stage to control the work carried out so far and to run all the calculations involving the plan MEC-FARM-CR.

The above steps are summarised in Table 35.

Table 35
Files for the exercise NGAMO2

Step

File to be used

File content

Task to accomplish in the file

1

NGAMO1.WDS

The full data-set of NGAMO1

Start NGAMO2 by inserting the hired labour HIR-LAB and the plan AN-FARM

2

NGAMO2a.WDS

The "Hired labour" commodity and the plan AN-FARM

Insert the tractor's operational costs TRACTOR and the mechanised activities

3

NGAMO2b.WDS

All NGAMO2a plus the mechanised activities and the operational costs for the tractor TRACTOR

Insert the investment TRAC-I

4

NGAMO2c.WDS

All NGAMO2b plus the investment TRAC-I

Create the plan MEC-FARM

5

NGAMO2d.WDS

All NGAMO2c plus the mechanised plan MEC-FARM

Run all the calculations of the plan MEC-FARM. Calculate and insert the items of the credit component, and create the CREDIT activity

6

NGAMO2e.WDS

All NGAMO2d plus the credit items and the CREDIT activity

Create the plan MEC-FARM-CR

7

NGAMO2.WDS

Full data-set of the exercise NGAMO2.

Execute the required calculations.

3. NGAMO 3


3.1 Background
3.2 Data Set
3.3 Question Set
3.4 Hints
3.5 Solution Set
3.6 Trainer's Notes

3.1 Background

In the previous exercises we have analysed (i) the situation without the project of a typical farmer in the project area, (ii) the evolution of a typical farmer when the irrigation is introduced by the project (AN-FARM model) and (iii) the evolution of a typical farmer when irrigation and mechanisation is introduced by the project (MEC-FARM model).

At this point, we need to assess the viability of the project, considered as a single entity, for the economy as a whole, and not just for a single farmer. This is the so-called "Economic analysis" of the project.

In the economic analysis, the inputs and the outputs of the project must be valued to reflect the costs and the benefits to the whole society, and the market price must be adjusted accordingly (i.e., the opportunity cost of using or not producing a given good or service by the project), by using the so called reference prices, also known as shadow prices or economic prices1.

1 Techniques and methods on how to estimate economic prices can be found in "Economic Analysis of Agricultural Projects" by J Price Gittinger, 2nd Edition 1982, The John Hopkins Press, Baltimore & London.
In addition, when looking at the project from a global viewpoint one has to consider the number of farmers participating in the project and the investment required to implement the project (i.e., the costs of improving and developing the irrigation scheme).

3.2 Data Set


3.2.1 Data about the type and quantity of farms involved
3.2.2 Data about the investment at project level: cost of rehabilitation and development of the irrigation scheme
3.2.3 Data about economic prices

To address the issues listed above in order to assess the economic viability of the project over a time span of 15 years, the formulation team collected the following data:

3.2.1 Data about the type and quantity of farms involved

The project is likely to involve one thousand farms. Due to the lack of bullocks in the region, already highlighted in NGAMO1 and NGAMO2, four hundred of the farms are going to mechanise (model MEC-FARM), while the rest would continue to use the animal traction (model AN-FARM). The analysts will model the zone of the project (code NGAMO3) using this data.

3.2.2 Data about the investment at project level: cost of rehabilitation and development of the irrigation scheme

The program for the rehabilitation and development of the irrigation scheme (code IRRIG) will last 3 years with the parameters as listed in Table 36.

Table 36
Investment data

Description

Units

Project life span (duration in years)
Irrigation scheme cost (Francs)
Maintenance (% of cost)
Lag for maintenance (years)
Residual value (% of cost)
Contingency costs (% of cost)

30
12 million
5%
1
20%
1%


3.2.3 Data about economic prices

The prices of the different items produced and used by the project are reported in Table 37.

Most of the economic prices are the same as the financial prices, since in the region no major market distortions are observed. However, land tax and irrigation tax are set to zero, since they are transfers and not costs to the economy as a whole. Finally, all the labour used in the project is costed as hired labour, since no problem of unemployment is observed in the project area. The hired labour price is therefore assumed to reflect the opportunity cost of labour2.

2 Note that the price of the hired labour is set to zero to avoid double counting, once the family labour is computed.

Table 37
Economic and financial prices of commodities

Item

Code

Financial price

Economic price

Seeds - HY paddy (kg)
Seeds - Traditional paddy (kg)
Seeds - Sunflower(kg)
Seeds - Sesame (kg)
Fertilizer - Urea (kg)
Fertilizer - TSP (kg)
Fertilizer - MOP (kg)
Fertilizer - manure (barrows)(kg)
Pesticide (Francs)
Hired labour³ (per person per day)
Workforce - Family (per person per day)
Draught animals (per day)
Power-tiller (per hour)
Land Tax (Francs)
Irrigation Tax (Francs)

S-PADDY
S-PADDY
S-SUNF
S-SESAME
UREA
TSP
MOP
MANURE
PESTIC
HIR-LAB
LABOUR
BULLOCKS
TRACTOR
LAND-TAX
IRR-TAX

0.60
0.60
6.00
10.40
0.34
1.14
0.54
15.00
1.00
7.00
-
30.00
2.00
1.00
1.00

0.60
0.60
6.00
10.40
0.34
1.14
0.54
15.00
1.00
-
7.00
30.00
2.00
-
-

3 The economic price of hired labour is set to zero to avoid double counting with the LABOUR item. This computes the total labour requirement of the project and has a price of 7.00 per unit.

3.3 Question Set

The analyst is expected to provide the decision-makers and the farmers with answers to the following questions concerning potential project outcomes:

Main question

(i) Is the project economically viable to the society as a whole, when considering an opportunity cost of capital of 12% per year over 15 years?
Additional questions
(ii) What change in the investment costs, other things equal, would lead the project to break even?

(iii) If the project shows to be uneconomically viable, which possible solutions would you suggest?

(iv) Are small changes in the economic prices chosen for some items likely to change the result of the economic analysis?

3.4 Hints

i. Introduce the data about the rehabilitation scheme as an additional investment item (IRRIG) using the investment component window.

ii. Introduce the economic prices in the suitable commodity component window.

iii. In order to be able to carry out the analysis at project level, a new "zone" item called, for instance, "NGAMO3" needs to be introduced using the "zone" component box, as explained in part 1 of the WinDASI manual. NGAMO3 will include two "plan" items, notably AN-FARM and MEC-FARM and the "investment" item IRRIG. The coefficients of the items AN-FARM and MEC-FARM will be the number of farms of each type joining the project, that is, 600 and 400 respectively. The coefficients for the investment item will be 1 for years 1, 2 and 3.

3.5 Solution Set


3.5.1 Answer to question (i)
3.5.2 Answer to question (ii)
3.5.3 Answer to question (iii)
3.5.4 Answer to question (iv)

3.5.1 Answer to question (i)

The economic viability of the overall irrigation project is appraised by:

i. applying economic prices;
ii. eliminating transfers;
iii. including irrigation investment at the project level;
iv. aggregating the farms according their specific farm models;
v. discounting the economic flows of costs and benefits; and
vi. calculating the summary project indicators.
Table 38 shows the flow of costs and benefits of production, inputs and investments. Note that both the irrigation tax and the land tax have zero values, being transfers from the farmers to the state that are assumed to reflect the consumption of no resource. The costs of running the irrigation scheme are assumed to be included in the investment component.

The total labour requirements both hired and of the household, are valued at their opportunity cost, assumed to be equal to the market price for labour.

Table 38a
Zone NGAMO3
Flows of costs and benefits of production and inputs (in thousands of Francs)

Item

WoP

Years



1

2

3

4

5

6

7-15

Pad-HY

6,112.3

6,112.3

6,112.3

6,535.6

6,619.4

7,408.8

7,501.4

7,501.4

Pad-TRA

2,184.6

2,184.6

2,184.6

2,330.2

2,257.4

2,184.6

2,111.8

2,111.8

Sesame

1,688.3

1,688.3

1,688.3

3,837.0

6,676.4

7,597.3

8,287.9

8,287.9

Sunflow

364.0

364.0

364.0

728.0

1,365.0

1,911.0

2,457.0

2,457.0

Total output

10,349.1

10,349.1

10,349.1

13,430.9

16,918.2

19,101.7

20,358.1

20,358.1

BULLOCKS

5,415.0

3,249.0

3,249.0

3,510.0

3,603.6

3,713.4

3,805.2

3,805.2

HIR-LAB

-

-

-

-

-

-

-

-

IRR-TAX

-

-

-

-

-

-

-

-

LABOUR

3,880.1

3,880.1

3,880.1

4,340.7

4,455.5

4,587.8

4,697.0

4,697.0

LAND-TAX

-

-

-

-

-

-

-

-

MANURE

82.5

82.5

82.5

82.5

82.5

82.5

82.5

82.5

MOP

59.7

59.7

59.7

62.0

63.5

65.8

68.0

68.0

OTHER

90.0

90.0

90.0

120.0

136.0

152.0

169.0

185.0

PESTIC

50.0

50.0

50.0

53.5

57.8

62.3

65.8

65.8

S-PADDY

207.2

207.2

207.2

208.0

208.7

209.4

210.1

210.1

S-SESAME

171.6

171.6

171.6

221.0

256.4

291.7

318.2

318.2

S-SUNF

6.6

6.6

6.6

13.2

16.5

23.1

29.7

29.7

TRACTOR


288.8

288.8

312.0

320.3

330.1

338.2

338.2

TSP

322.4

322.4

322.4

341.5

360.7

383.0

402.2

402.2

UREA

196.6

196.6

196.6

205.2

213.7

223.7

232.3

232.3

Total Inputs and factors

10,481.7

8,604.5

8,604.5

9,469.6

9,775.1

10,124.8

10,418.3

10,434.3


Note also that the cost of the land use does not explicitly appear in the table of costs and benefits. Indeed, the project does not use any more land than in the WoP situation. Therefore, no extra costs of land should be charged to the project.

Table 38b
Investment flows over the lifetime of the project

Item

WoP

Year



1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

IRRIG-Total


12 120

12 720

13 320

1 800

1 800

1 800

1 800

1 800

1 800

1 800

1 800

1 800

1 800

1 800

-21 720

TRAC-I-Total


8 400

800

800

800

800

800

800

800

7 600

800

800

800

800

800

-1 800

Total investment outflow


20 520

13 520

14 120

2 600

2 600

2 600

2 600

2 600

9 400

2 600

2 600

2 600

2 600

2 600

-23 520


Concerning the investment component, notice that the negative flow in year 15 is determined by the final value of the investment, i.e., by the fact that the investments at the end of the project are still economically viable. For the computation of the final value of the investment good, see part 2 of the WinDASI manual.

Table 39 reports the calculations of discounting the flow of costs and benefits.

The flows of Net Benefits are calculated as the flow of benefits minus the flow of input and factor costs, minus the flow of the investment component.

The Net Incremental Benefits are calculated year by year as the difference between the net with-project (WiP) benefits in each year and the net WoP benefits.

The Net Incremental Discounted Benefits are obtained by multiplying the net incremental benefits by the reported discount factor.

The Net Incremental Discounted Cumulated Benefits are obtained by summing, year by year, the Net Incremental Discounted Benefits from year 1 up to the specific year. The amount of the Net Incremental Discounted Cumulated Benefits in year 15 corresponds to the incremental Economic Net Present Value of the project (ENPV).

Table 39
Zone NGAMO3
Net Incremental Discounted Cumulated Benefits of the project

Item

WoP

Years



1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Total Benefits

10349.1

10349.1

10349.1

13430.9

16918.2

19101.7

20358.1

20358.1

20358.1

20358.1

20358.1

20358.1

20358.1

20358.1

20358.1

20358.1

Total Inputs and factors costs

10481.7

8604.5

8604.5

9469.6

9775.1

10124.8

10418.3

10434.3

10434.3

10434.3

10434.3

10434.3

10434.3

10434.3

10434.3

10434.3

Total Investment costs


20520.0

13520.0

14120.0

2600.0

2600.0

2600.0

2600.0

2600.0

9400.0

2600.0

2600.0

2600.0

2600.0

2600.0

-23520.0

Net Benefits

-132.6

-18775.4

-11775.4

-10158.7

4543.1

6376.9

7339.8

7323.8

7323.8

523.8

7323.8

7323.8

7323.8

7323.8

7323.8

33443.8

Net Incremental Benefits

0.0

-18642.8

-11642.8

-10026.1

4675.7

6509.5

7472.4

7456.4

7456.4

656.4

7456.4

7456.4

7456.4

7456.4

7456.4

33576.4

Discount factor (@12%)


0.9

0.8

0.7

0.6

0.6

0.5

0.5

0.4

0.4

0.3

0.3

0.3

0.2

0.2

0.2

Nincremental discounted benefits (@12%)

0.0

-16645.4

-9281.6

-7136.4

2971.5

3693.7

3785.8

3372.9

3011.5

236.7

2400.8

2143.5

1913.9

1708.8

1525.7

6134.3

Net incremental discounted cumulative benefits

0.0

-16645.4

-25926.9

-33063.3

-30091.8

-26398.2

-22612.4

-19239.5

-16227.9

-15991.2

-13590.5

-11446.9

-9533.0

-7824.2

-6298.5

-164.2


Notice that the ENPV is slightly negative, signalling insufficient economic profitability of the irrigation project. This means that the additional Net Benefits obtainable at farm level with either plan AN-FARM or MEC-FARM, once aggregated and discounted, are not large enough to cover the costs of the irrigation scheme.

The lack of economic viability is also reflected by the Internal Rate of Return (IRR), reported in Table 40, which appears to be slightly lower than the discount rate used (12.00%) and by the Benefit/Cost Ratio (BCR), which is slightly less than the unity.

Table 40
Zone NGAMO3
Summary project indicators

Description

Coeff.

Discounted Incremental Value

SV (%)

CC

Benefits

+1

43 424.33

0.3781

43 589

Costs

-1

43 588.51

-0.3767

43 424

Incremental Net Present Value (NPV)
Internal Rate of Return (IRR)
Benefit/Cost Ratio (BCR)

-164.18
11.93
0.996




3.5.2 Answer to question (ii)

The change in the irrigation investment, which would lead the project to break even, i.e., the Critical Change (CC), is reported in Table 41. If the irrigation investment were reduced by 0.48%, i.e., became Francs 33 918.3 thousand, the project would break even.

Table 41
Zone NGAMO3
Present Value by item and related Critical Changes

Description

Coeff.

Discounted Incr.Values

Switching Values %

Critical Changes

BENEFITS


43,424.3



Pad-HY

1

5,813.1

2.82

5,977.0

Pad-TRA

1

-83.53

-196.55

80.6

SESAME

1

29,211.4

0.56

29,375.0

SUNF

1

8,483.4

1.94

8,648.0

COSTS & INVESTMENT


43,588.5



BULLOCKS

-1

- 12,294.5

1.34

- 12,459.2

HIR-LAB

-1

-

N.A.

N.A.

IRR-TAX

-1

-

N.A.

N.A.

LABOUR

-1

3,714.1

-4.42

3,550.0

LAND-TAX

-1

-

N.A.

N.A.

FERTIL

-1

574.1

-28.6

409.9

OTHER

-1

382.2

-42.95

218.1

S-PADDY

-1

11.9

-1381.1

- 152.3

S-SESAME

-1

627.3

-26.17

463.2

S-SUNF

-1

94.4

-173.88

- 69.8

TRACTOR

-1

2,185.5

-7.51

2,021.3

IRRIG

-1

34,081.9

-0.48

33,918.3

TRAC-I

-1

14,211.5

-1.16

14,046.7

Increm. Net Present Value (NPV)


-164.18



Internal Rate of Return (IRR)


11.93%



Benefit/Cost Ratio (BCR)


0.996




Note that the SV reported in Table 41 is easily calculated by taking the ratio of the ENPV to the present value of the irrigation investment component.

3.5.3 Answer to question (iii)

To improve the viability of the project, some alternative project scenarios have to be explored. It should be verified, for example, if it is possible to extend the benefits of the irrigation scheme to additional farms in order to better exploit the advantages of the fixed costs of the investment. It would indeed be enough to associate, say, ten additional AN-FARM farms with no additional costs to increase the Net Benefits of the project by about Francs 340 thousand, i.e., ten times the ENPV of the plan AN-FARM, to obtain a positive ENPV, as reported in Table 42.

Table 42
Zone NGAMO3
Scenario with ten additional AN-FARM farms

Description

Coeff.

Discounted Incremental Value

SV %

CC

Benefits

+1

46 345.46

-5.9487

43 589

Costs

-1

43 588.51

6.3249

46 345

Incremental Net Present Value (NPV)

175.09



Internal Rate of Return (IRR)

11.93



Benefit/Cost Ratio (BCR)

1.004




Note also that if there is some unemployment in the region, the choice of the market price of labour as its opportunity cost could lead to an overestimation of project costs. From Table 41 it is apparent that a reduction of about 5% in labour costs would result in the project breaking even.

3.5.4 Answer to question (iv)

Some slight changes in the economic prices of outputs could lead to different project results. For instance, if a sensitivity analysis on the price of sesame is run, simulating a price increase of 10%, the project would show the results reported in Table 43. Note that the project looks to be viable, even if not yet sufficiently robust.

Table 43
Zone NGAMO3
Sensitivity test: Sesame +10%

Description

Coeff.

Discounted incr.values

SV %

CC

Benefits

1

46345.46

-5.9487

43,589

Costs

-1

43588.51

6.3249

46,345

Increm. Net Present Value (NPV)


2756.95



Internal Rate of Return (IRR)


13.2



Benefit/Cost Ratio (BCR)


1.063




A better judgement of project viability could come after a thorough review, covering technical choices, land use (rotation pattern), impact of irrigation, costs of the investment, and all the other major project components.

The inclusion in the analytical framework of the external effects of the project, such as positive and negative environmental externalities, could add further information on which to base sound decision making about the implementation of the project.

3.6 Trainer's Notes


3.6.1 Use of the Files for the Exercise NGAMO 3

The trainer should focus attention on the main question, i.e. Question (i) that is concerned with the economic viability of the project. Questions (ii) and (iii) could be left as an exercise for the trainees in case there is a lack of classroom time to go through them, or even to test the confidence level of trainees in building alternative project scenarios, thus checking both their ability to manipulate the software and their skills in economic thinking.

The natural extension of the NGAMO3 exercise would be the inclusion of some external effects, notably, environmental externalities of irrigation projects. On these grounds, some synergies could be found with the FAO ECOZONE software, which could help to identify the various impacts of a list of development projects.

Further discussion could be raised in the classroom bringing the attention of the trainees to the overall feasibility of the project considering the following aspects: availability of fertilisers in local markets, overall demand of hired labour induced by the project, logistics related to supply of tractors, impact of tractors on the existing road system, availability of fuel in the area, the actual possibility of selling additional outputs on the existing markets.

In addition, considerations on the income distribution impact of the project and its indirect effects could be presented, for example, by looking at the relationships between owners and non-owners of bullocks, or by looking at the impact of the availability of tractors in the area on the overall traditional transport system.

Alternatively, the trainer can follow up by going to the NGAMO4 exercise, where the focus is on project phasing.

3.6.1 Use of the Files for the Exercise NGAMO 3

The set of files complementing NGAMO3 may be used step-by-step by the trainer as follows:

Step 1

NGAMO3 exercise starts with the full data-set file NGAMO2.WDS. In this file the economic prices and the investment IRRIG are inserted.

Step 2

The insertion of the economic prices and the investment IRRIG may be checked by loading the file NGAMO3a.WDS. Here the zone NGAMO3 has to be created using both the plans AN-FARM and MEC-FARM and the investment IRRIG.

Step 3

The correct creation of the zone NGAMO3 may be checked by means of the full data-set file NGAMO3.WDS. This file may be used to run all the calculations of the NGAMO3 exercise.

The above steps are summarised in table 44.

Table 44
Files for the exercise NGAMO3

Step

File to be used

File content

Task to accomplish in the file

1

NGAMO2.WDS

Full data-set of the exercise NGAMO2.

Start NGAMO3 by inserting the economic prices and the Investment IRRIG

2

NGAMO3a.WDS

Economic prices, Investment IRRIG

Insert the zone NGAMO3

3

NGAMO3.WDS

Full data-set of the exercise NGAMO3.

Run the required calculations

4. NGAMO 4


4.1 Background
4.2 Data Set
4.3 Question Set
4.4 Hints
4.5 Solution Set
4.6 Trainer's Notes

4.1 Background

The project formulation mission in the NGAMO region has, among its tasks, to formulate a proposal for actions to improve the living conditions of farmers in the uplands. The formulation mission decided that it would be suitable to develop coffee production on some marginal land, which would need clearing, as it was currently not being used for any productive purpose. About 250 farmers will be involved in the development project, each planting about 1 ha of coffee and all applying the same production technology. The project will leave unchanged the other activities of the farmers and therefore constitute an additional source of income for them.

As implementing a coffee plantation is labour intensive, in order to avoid any conflict with the other cultures in terms of labour availability both introduction of the coffee plantation for each farmer and the participation of the farmers in the project will be phased. If the designed phasing schedules are respected, no major constraints on input availability and output commercialization should emerge.

Of course, one of the tasks of the formulation team is to analyse the impact of the envisaged project on the farmers of the zone. To accomplish this, the analysts decide to model the coffee activity on 1 hectare, collecting inputs, outputs and investments, as reported below. The results at farm level, calculated on the basis of the phasing schedule for planting, will then be used to investigate the overall impact of the project, by aggregation, taking into consideration the number of farmers involved in the project and the schedule for phasing their involvement in the project. In addition, as the land to be used under coffee is currently unused for productive purposes, and therefore with no significant opportunity cost for its use, the analysts decide to model the without-project (WoP) scenario as zero, i.e., The whole Net Benefits of the coffee activity are considered as additional Net Benefits to the farmers.

4.2 Data Set

Tables 45 to 47 provide the data needed to be able to assess the financial viability to the farmers that join the coffee project.

The prices of inputs and outputs for the coffee activities, reported in table 45, are assumed to remain constant for the duration of the project, both with (WiP) and without (WoP) project scenarios.

Table 45
Prices of the inputs and outputs

Item

Code

Price (Francs per unit)

Coffee Seedlings (Units)

SEEDLING

1.00

Workforce (man/days)

LABOUR

7.00

Fertiliser (Kg)

FERTIL

0.80

Coffee Grain (Kg)

COFFEE

10.00


Table 46
Inputs and outputs per hectare of coffee: COFF.A

Item

Code

Year



1

2

3

4

5

6-15

Seedlings (Units)

SEEDLING

800.0

-

-

-

-

-

Workforce (man/days)

LABOUR

82.0

64.0

52.0

68.0

80.0

92.0

Fertiliser (Kg)

FERTIL

160.0

320.0

500.0

640.0

800.0

800.0

Yield Coffee (Kg)

COFFEE

-

-

-

150.0

250.0

400.0

Table 47
Schedule of the coffee activity at farm level (plan COFF-FARM) and involvement of the farmers of the zone (zone PROJECT)

Item

Years


1

2

3

4

5

6-15

Hectares planted by year at farm level

0.2

0.3

0.5

-

-

-

Farmers joining the project by year

100.0

150.0

-

-

-

-


4.3 Question Set

The project analyst is faced with the following questions:

Main questions

(i) Analyse the input and output flows in physical terms at farm level and verify the labour requirement calculations year by year. You can refer to Part 2 of the WinDASI manual for a detailed explanation of the calculations carried out by WinDASI in the "phased" mode.

(ii) Analyse the financial viability of the newly established coffee farm, taking into account the phasing of coffee planting, assuming a project life of 15 years and a discount rate of 12%.

(iii) Check the calculations of the requirements for fertilizer at the zone level.

(iv) What is the maximum clearing cost that is justified per hectare in the coffee farm?

Additional questions
(v) Analyse overall viability of the zone, based on 250 farms joining the project, taking into account the phasing of farmers entering the project, assuming the same life span and discount rate as above.

4.4 Hints

i. Create a commodity for each good and service, and insert the appropriate price.

ii. Create an activity for cultivating coffee, specifying the unit of the activity (hectares) and the technical coefficients of the activity, i.e., the quantity of each input and output for one unit of activity (hectare) for all the years of the project.

iii. Create the farm plan COFF-FARM indicating the "quantity" of the coffee activity started year by year, i.e., the number of hectares of coffee plantation undertaken year by year. BUT:

iv. do not forget to set the "phased" mode, inserting the code "C" for the coffee activity (instead of the default value "N"); and

v. do not cumulate the surfaces year by year.

vi. Create a zone coded PROJECT and set "phased mode" for the plan COFF-FARM

4.5 Solution Set


4.5.1 Solution for question (i)
4.5.2 Solution for question (ii)
4.5.3 Solution for question (iii)
4.5.4 Solution for question (iv)
4.5.5 Solution for question (v)

4.5.1 Solution for question (i)

For Question (i), the inputs in physical units required by one farm need to be analysed (see Section 4.1 in Part 1 of the WinDASI manual). They are shown in Table 48.

Table 48
Input requirements and output of the plan COFF-FARM in physical terms

Item

Unit

Years



1

2

3

4

5

6

7

8-15

FERTIL

KG

32.00

112.00

276.00

438.00

602.00

720.00

800.00

800.00

LABOUR

DAY

16.40

37.40

70.60

61.20

62.40

76.40

86.00

92.00

SEEDLING

UNIT

160.00

240.00

400.00

-

-

-

-

-

COFFEE

KG

-

-

-

30.00

95.00

230.00

325.00

400.00


Details of the calculation of the requirements in physical terms for labour requirements are shown in Table 48a.

Table 48a
Calculation of labour requirements for plan COFF-FARM in physical terms

Item

Hectares

Year



1

2

3

4

5

6

7

8-15

Labour requir. by year for 1.0 Ha


82.00

64.00

52.00

68.00

80.00

92.00

92.00

92.00

Labour requir. by year for 0.2 Ha

0.20

16.40

12.80

10.40

13.60

16.00

18.40

18.40

18.40

Labour requir. by year for 0.3 Ha

0.30


24.60

19.20

15.60

20.40

24.00

27.60

27.60

Labour requir. by year for 0.5 Ha

0.50



41.00

32.00

26.00

34.00

40.00

46.00

Total labour requirements by year


16.40

37.40

70.60

61.20

62.40

76.40

86.00

92.00


Notice that the labour requirements in year 1 of the project are calculated by multiplying the area planted in the first year of the project by the labour requirements per hectare in the first year of the coffee activity (e.g., 0.2 ha (82 workdays per hectare = 16.40 workdays).

The labour requirements in year 2 are calculated as the area planted in the first year of the project times the labour requirements per hectare in the second year of the coffee activity (e.g., 0.2 ha (64 workdays/ha = 12.80 workdays), plus the new area planted in the second year of the project times the labour requirements per hectare in the first year of the coffee activity (e.g., 0.3 ha (82 workdays/ha = 24.60 workdays), to give the total labour requirements in year 2 of the project, namely 12.8 + 24.6 = 37.4 workdays. The same applies for year 3, where an additional 0.5 ha is planted, and so on for the other years of the project.

Figure 10 depicts the labour requirements by year and phase of planting.

Figure 10: Plan COFF-FARM - Labour requirements by year and phase of planting

4.5.2 Solution for question (ii)

The financial viability of the plan COFF-FARM can be assessed by analysing the flows of costs and benefits. They are reported in Table 49 and depicted in Figure 11.

Table 49
Plan COFF-FARM
Flows of costs and benefits

Item

WoP

Years



1

2

3

4

5

6

7

8-15

COFFEE





300.0

950.0

2300.0

3250.0

4000.0

Total output

-

0.0

0.0

0.0

300.0

950.0

2300.0

3250.0

4000.0

FERTIL


25.6

89.6

220.8

350.4

481.6

576.0

640.0

640.0

LABOUR


114.8

261.8

494.2

428.4

436.8

534.8

602.0

644.0

SEEDLING


160.0

240.0

400.0

0.0

0.0

0.0

0.0

0.0

Total Inputs

-

300.4

591.4

1115.0

778.8

918.4

1110.8

1242.0

1284.0

Flow of net benefits

-

-300.4

-591.4

-1115.0

-478.8

31.6

1189.2

2008.0

2716.0


Note that the flows of Net Benefits are negative in the first four years because of the time lag before the coffee plantation attains its full development. Given the presence of both negative and positive flows in different periods, any sound judgement of the financial viability of the project must be based on the discounted flows.

Table 50 gives the discounted flows of the Net Benefits at 12% for 15 years, while Table 51 shows some summary project indicators.

Figure 11: Plan COFF-FARM - Flows of costs, benefits and Net Benefits by year

Table 50
Plan COFF-FARM
Discounted flows of costs and benefits

Item

WoP

Years



1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Total Benefits

-

-

-

-

300.0

950.0

2300.0

3250.0

4,000.0

4,000.0

4,000.0

4,000.0

4,000.0

4,000.0

4,000.0

4,000.0

Total Inputs and factors costs

-

300.4

591.4

1115.0

778.8

918.4

1110.8

1242.0

1,284.0

1,284.0

1,284.0

1,284.0

1,284.0

1,284.0

1,284.0

1,284.0

Net Benefits

-

-300.4

-591.4

-1115.0

-478.8

31.6

1189.2

2008.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

NIB

-

-300.4

-591.4

-1115.0

-478.8

31.6

1189.2

2008.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

2,716.0

Discount factor (@12%)


0.9

0.8

0.7

0.6

0.6

0.5

0.5

0.404

0.361

0.322

0.287

0.257

0.229

0.205

0.183

Net incremental benefits (@12%)

-

-268.2

-471.5

-793.6

-304.3

17.9

602.5

908.3

1,096.9

979.4

874.5

780.8

697.1

622.4

555.7

496.2

Net Increm.Disc.Cumulated Benefits

-

-268.2

-739.7

-1533.3

-1837.6

-1819.7

-1217.2

-308.9

788.1

1,767.5

2,642.0

3,422.8

4,119.9

4,742.3

5,298.1

5,794.3

Note: The Net Incremental Benefits (NIB) are identical to the Net Benefits, since the WoP situation is assumed to be zero.

Table 51
Plan COFF-FARM
Summary project indicators

Description

Coeff.

Discounted incr. values

Switching Values %

Critical Changes

Benefits

1

12353.53

-46.904

6,559.25

Costs

-1

6559.25

88.338

12,353.53

Increm. Net Present Value (NPV)


5794.28



Internal Rate of Return (IRR)


37.94



Benefit/Cost Ratio (BCR)


1.883




According to the indicators reported in Table 51, the project appears to be viable and robust at farm level. Indeed, the NPV is largely positive and the SVs of the main components are far from zero.

4.5.3 Solution for question (iii)

Fertilizer requirements at the zonal level (zone PROJECT) are calculated by multiplying the fertilizer requirements at farm level by the number of farms entering the project in each year. The calculations are shown in Table 52.

Table 52
Zone PROJECT
Calculation of fertilizer requirements

Description

Farms entering

Year



1

2

3

4

5

6

7

8-15

Fertiliser requir. by year for one farm


32

112

276

438

602

720

800

800

Fertiliser requir. by year for 100 farms

100.00

3,200

11,200

27,600

43,800

60,200

72,000

80,000

80,000

Fertiliser requir. by year for 150 farms

150.00

-

4,800

16,800

41,400

65,700

90,300

108,000

120,000

Total fertiliser requirements by year


3,200

16,000

44,400

85,200

125,900

162,300

188,000

200,000


Note that for the second sub-set of 150 farms joining the project in the second year, the fertilizer requirements in year 2 of the project are calculated by multiplying the fertilizer requirements at farm level in year 1 by the number of farms in the second sub-set (i.e., 32 kg/farm (150 farms = 4 800 kg). Also, note that the fertilizer requirements for one farm are calculated as in Table 48, i.e., taking into account the phasing of the coffee activity at farm level. The fertilizer requirements by sub-set of farms and by year are depicted in Figure 12.

Figure 12: Zone PROJECT - Fertilizer requirements by sub-set of farms and year

4.5.4 Solution for question (iv)

From the answer to question (ii), it appears that the npv of the coffee plantation per hectare (as it has been phased in table 47), makes a total of francs 5794.20. If we were to invest this amount of money per hectare at the beginning of the project for land clearing, the project would break even exactly. This means that this is the maximum amount we are allowed to invest before obtaining losses.

4.5.5 Solution for question (v)

Given the viability of the project at farm level, the viability of the project at the zonal level is to be expected, as the zone is an aggregation of farms, with no investments at the zonal level and no changes in prices. Note, however, that the NPV at zonal level is not the simple sum of the NPVs at farm level. The phasing of the project associated with the truncation of the project life in year 15 causes a loss of value in the aggregated project, unless the final value of the more recent plantations is explicitly taken into account.

The summary project indicators for the zone are reported in Table 53.

Table 53
Zone PROJECT
Summary indicators of financial viability

Description

Coeff.

Discounted incr.values

Switching Values %

Critical Changes

Benefits

1

2,791,971

-46.168

1,502,978

Costs

-1

1,502,978

85.763

2,791,971

Increm. Net Present Value (NPV)


1,288,993



Internal Rate of Return (IRR)


37.72



Benefit/Cost Ratio (BCR)


1.858




4.6 Trainer's Notes


4.6.1 Use of the Files for the Exercise NGAMO4

The exercise NGAMO4 in this current formulation has been kept as simple as possible to allow the trainees to retain the basic elements of the phasing of activities and plans.

Before using the "phasing" function, a good knowledge of both the theory of project analysis and computing in the "normal" way should be acquired by the trainees. On this basis, the main steps of NGAMO4 can be discussed in about half a day. To run the full ngamo4 exercise in a computer room with trainees with a weak knowledge of both the theory of project analysis and computing, at least one full day should be allowed. When the trainees' background is weak, the trainer could deliver the tasks one at the time and verify their execution step-by-step, rather than delivering the full set of questions all at once.

If the trainer feels it necessary, he/she could introduce some variations and further elements of discussion, such as:

i. verification by hand of some sample calculations of inputs and outputs, as it is extremely important to make the participants understand the way in which the phasing works;

ii. assumption of zero opportunity cost of the land could be dropped by introducing a WoP scenario or by introducing a price for land; and

iii. the final value of the plantations entering the project in subsequent years (year 2 onwards) could be explicitly considered.

Some parts of the exercise, notably the additional questions, can be skipped, without hampering the flow of the exercise.

4.6.1 Use of the Files for the Exercise NGAMO4

The set of files complementing NGAMO4 may be used step-by-step by the trainer as follows:

Step 1

The exercise NGAMO4 starts with the empty (default) file. In this file the commodities and the plan COFF.A are inserted.

Step 2

These data can be checked by loading the file NGAMO4a.WDS. Here the plan COFF-FARM and the zone PROJECT are inserted.

Step 3

After controlling the data, the full data-set NGAMO4.WDS can be loaded to run all the calculation of the NGAMO4 exercise.

The above steps are summarised in Table 54.

Table 54
Files for the exercise NGAMO4

Step

File to be used

File content

Task to accomplish in the file

1

Empty (default)file

Nothing

Insert the commodities and the plan COFF.A

2

NGAMO4a.WDS

Commodities and coffee activity COFF.A

Insert the plan COFF-FARM and zone PROJECT

3

NGAMO4.WDS

Full data-set of the exercise NGAMO4.

Run the required calculations


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