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Guidelines for the Economic Analysis of Projects : XVI. Appendices
Appendix 7 : The Use of Constant Prices in the Economic Analysis of Projects1. 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 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
I. Relative Price Changes5. 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 Rates7. 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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