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I. Introduction
II. Background
III. The Economic Rationale of A Project
IV. Macroeconomic and Sectoral Context
V. An Integrated Approach To Economic Analysis
VI. Identification and Quantification of Costs and Benefits
VII. Valuation of Economic Costs and Benefits
VIII. Large Projects, Linkages, and National Affordability
IX. Least-Cost and Cost-Effective Analysis
X. Investment Criteria: Economic Viability
XI. Discount Rate
XII. Uncertainty: Sensitivity and Risk Analysis
XIII. Sustainability of Project Effects
XIV. Distribution of Project Effects
XV. Projects and Policies
XVI. Appendices
Appendix 1: Key Questions For The Economic Analysis of Projects
Appendix 2: Project Economic Rationale: Market and Nonmarket Failures
Appendix 3: The Project Framework
Appendix 4: Identification and Measurement of Consumer Surplus
Appendix 5: Treatment of Working Capital
Appendix 6: Depletion Premium
>> Appendix 7: The Use of Constant Prices In The Economic Analysis of Projects
Appendix 8: General Methodology For Building Up Project Statements
Appendix 9: Economic Evaluation of Project Output and Input
Appendix 10: Economic Price of Traded Goods and Services
Appendix 11: Valuation of Nontraded Outputs and Inputs
Appendix 12: Shadow Wage Rate and The Shadow Water Rate Factor
Appendix 13: The Economic Price of Land
Appendix 14: Treatment of Resettlement Components of Projects
Appendix 15: Calculating Economic Prices At The Domestic Market Price Or World Market Price Levels
Appendix 16: Estimating The Shadow Exchange Rate Factor and The Standard (Or Average) Conversion Factor
Appendix 17: Example of An Economic Rate of Return: An Irrigation Rehabilitation Project
Appendix 18: Effect On Net Foreign Exchange and Budget Flows: An Example
Appendix 19: Least-Cost Analysis and Choosing Between Alternatives
Appendix 20: Estimating The Economic Opportunity Cost of Capital
Appendix 21: The Treatment of Uncertainty In The Economic Analysis of Projects: Sensitivity and Risk Analysis
Appendix 22: User Charges, Cost Recovery, and Demand Management: An Example For Piped Water
Appendix 23: Financial Returns To Project Participants: An Illustration
Appendix 24: Economic Evaluation of Environmental Impacts
Appendix 25: Distribution of Project Effects
Appendix 26: Impact On Poverty Reduction
Appendix 27: Difference Between Economic and Financial Prices
Appendix 28: Use of Economic Prices In Measuring Effective Protection
Appendix 29: Exchange Rate Issues In Project Analysis
XVII. Others
Guidelines for the Economic Analysis of Projects : XVI. Appendices

Appendix 7 : The Use of Constant Prices in the Economic Analysis of Projects

1. Project analysis is conducted to determine the economic viability of investing in a project. It entails choosing the project components that are, at the time of approval, expected to provide the highest net economic returns in the future. The stream of future costs and benefits that is compiled is termed the economic project statement. In preparing this statement, prices are used to express the inputs and outputs of a project in value terms to arrive at a common denominator. A consistent set of prices must be used for all future costs and benefits.

2. There are four different ways to define prices, namely

  • financial or shadow prices,
  • nominal or real prices,
  • current or constant prices, and
  • absolute or relative prices.

Financial prices are the actual prices at which inputs are bought and outpubts sold and are used in financial analysis. In economic analysis, where prices are distorted due to market or government failure, it is necessary to impute the price that reflects the real economic value of an input or an outputits shadow price.

3. Nominal price is interchangeably used with current price, and real price with constant price. Current price is the term used to define the value of the inputs and outputs, and includes the effects of general price inflation. Constant price refers to a value from which the overall effect of a general price inflation has been removed. Where current prices are adjusted for general inflation, it is assumed that inflation will affect the prices of the inputs and outputs in the project statements to the same extent, such that prices retain the same general relationship to each other. Using constant prices ensures that the future costs and benefits of the identified project alternatives are estimated in the same units as the costs and benefits measured at the time the decision to invest in the project is to be made.

4. Table 1, taken from the World Bank report entitled Commodity Markets and the Developing Countries, illustrates the use of constant and current price projections for a set of commodities. For traded items, the appropriate measure of inflation to adopt in adjusting current to constant prices is a measure of international inflation, such as the manufacturing unit value index of the United States. For nontraded items, an appropriate measure of inflation is the projected rate of increase in domestic prices measured through a gross domestic product deflator, a general consumer price index, or a more specific index, such as a construction price index for construction costs.

Table 1. Commodity Price Projections in Current and Constant Prices


Year
  1 2 3 4 5 6 7
Commodity Price Projections in Current Dollars
Petroleum
Coal
Sugar
Rice
Wheat
Palm oil
Coconut oil
Jute
Copper
Urea
$/bbl
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
21.2
41.8
277
287
156
290
337
408
2,662
157
17.3
44.5
198
314
143
339
433
378
2,339
172
17.3
40.6
200
287
177
394
579
320
2,291
140
15.3
38.0
221
270
193
378
450
290
1,913
107
14.9
36.0
261
360
198
497
575
320
2,230
143
15.3
38.0
265
325
192
450
565
323
2,100
147
16.0
40.0
261
315
184
365
545
332
1,980
154
  Price Projections in Constant Year 1 Dollars
Petroleum
Coal
Sugar
Rice
Wheat
Palm oil
Coconut oil
Jute
Copper
Urea
$/bbl
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
$/mt
21.2
41.8
277
287
156
290
337
408
2,662
157
17.0
40.6
193
308
140
332
424
370
2,238
168
16.3
38.1
187
270
166
369
542
300
2,139
132
14.6
36.5
212
259
185
362
432
273
1,836
102
13.9
33.5
243
335
184
463
536
298
2,073
133
14.0
34.9
243
299
177
413
519
301
1,923
135
14.4
36.1
235
284
166
329
492
299
1,736
139

I. Relative Price Changes

5. Absolute prices refer to the value attached to an input or output. Relative prices refer to the value of an input or output in terms of each other. Even where general price increases are removed through the use of constant prices, it is possible that the relative prices of inputs and outputs would vary because of productivity and technology changes, natural calamity, and even differential inflation. The price of an input may increase either slower or faster than the prices of other inputs and the output, or vice versa. In such cases, the corresponding effects of the relative price change on the project statement should be included. In economic analysis, a change in the relative price of an input is expected to result in a change in the amount that must be foregone by using such an input in the project instead of elsewhere in the economy. Changes in relative prices must be reflected in the economic project statement in the years when such changes are expected. 6. Suppose an expected 2.5 percent annual increase of nominal wages for unskilled labor over five years is expected, when the annual general price increase for the same period is placed at 12 percent per year. The change in the relative price of unskilled labor will be given by {(1 + 0.025) / (1 + 0.120)} - 1 = 0.085. Therefore, the value of unskilled labor in the economic project statement, drawn up in constant prices, should be reduced by 8.5 percent per year reflecting this relative price change over the period for which it will continue. Alternatively, suppose there is a scarcity of skilled labor and wages are expected to increase by 15 percent per year for five years. If inflation is assumed at only 12 percent per annum for the same period, then the price of scarce labor in the economic project statement should be increased by 2.7 percent per year for five years calculated from {(1 + 0.15) / (1 + 0.12)} - 1 = 0.027.

II. Real Interest Rates

7. An inflation adjustment should also be applied to any interest or discount rate that is used to calculate an annualized value for capital costs or simply a real rate of interest. Where the rate of interest applies to domestic borrowing, a domestic inflation index should be used to deflate the nominal interest rate. Where the rate of interest applies to foreign borrowing, an international inflation rate should be used to deflate the nominal interest rate. For example, a project will borrow at a domestic interest rate of 25 percent when domestic inflation is projected at 21 percent; and at a foreign interest rate of 6.9 percent when international inflation is projected at 2.4 percent. The real interest rates are given by

Domestic borrowing = {(1 + 0.25) / (1 + 0.21)} - 1 = 0.033 or 3.3 percent

Foreign borrowing = {(1 + 0.069) / (1 + 0.024)} - 1 = 0.044 or 4.4 percent



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Appendix 6: Depletion Premium
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Appendix 8: General Methodology For Building Up Project Statements

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