Benefit-Cost Analysis Course: Efficiency Analysis

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Benefit-Cost Analysis Course: Efficiency Analysis Financial and Economic Appraisal using Spreadsheets Ch. 5: Efficiency Benefit-Cost Analysis © Harry Campbell & Richard Brown School of Economics The University of Queensland © Harry Campbell & Richard Brown, School of Economics, University of Queensland, 2003

Excluded parts Example 5.2: The Value of Time Example 5.6: A Regulated Utility Example 5.7: Monopoly Power Example 5.8: Monopsony Power Example 5.9: A Subsidy on monopoly output Corrective taxation

Efficiency Benefit-Cost Analysis Deals with the overall net benefits of the project irrespective of who gains and loses. Measures the economic efficiency of the project: if net benefit is positive, the project is a more efficient allocation of resources than the alternative (the world “without” the project).

The distribution of net benefits is not relevant in efficiency benefit-cost analysis The project net benefit, as measured by the efficiency analysis, will accrue to various groups in various forms: the private sector proponents of the project, in the form of profits the public sector, in the form of taxes or charges the general public, in the form of employment benefits, rents, pollution costs etc.

What is the standard methodology? The efficiency benefit-cost analysis is based on the “with and without” approach.

In measuring project benefit ($X) and project opportunity cost ($Y): - ALL project outputs and inputs must be valued the prices used in the valuations must accurately reflect value or opportunity cost to the economy In attempting to measure value or opportunity cost, it is natural to look to the private market system. However: some project outputs or inputs may not be traded in markets e.g. pollution, outdoor recreation in some markets, the market price does not accurately measure the value of an output or the opportunity cost of an input.

Summary In conducting efficiency benefit-cost analysis we will be faced with two kinds of problems: - missing markets, e.g. pollution, recreational fishing markets in which market price does not measure value to the economy, e.g. non-competitive markets, markets distorted by taxes or regulations We deal with these two problems using: - non-market valuation techniques, e.g. contingent valuation shadow-pricing techniques – adjusting observed market prices to make them reflect marginal benefit or marginal cost to the economy.

Shadow-pricing: adjusting observed market prices to make them reflect marginal benefit or marginal cost to the economy. When markets are distorted (by regulations or taxes) or are non-competitive (because of monopoly or monopsony), in effect, there are two prices corresponding to the equilibrium quantity traded – one reflecting demand conditions and one reflecting supply conditions. There is a pricing rule telling us which is the appropriate price to use in benefit-cost analysis. We now consider the pricing rule and why it is required.

Figure 5.1: The Efficiency Benefit-Cost Analysis Pricing Rule

Shadow Pricing Example 5.1: A Minimum Wage Labour Hours/year $/hour   $/hour Wage S Wm Wa D Qd Qs Labour Hours/year

Suppose a small quantity of labour is to be hired to undertake a project with output valued at $B. There are two possibilities regarding the opportunity cost of the labour: 1. the labour would otherwise have been employed at wage wm; 2. the labour would otherwise have been unemployed with an opportunity cost of wa. In the first case the net benefit is $B - wmL. In the second case the net benefit is $B - waL; in this case, if wm was used to cost the labour, the project net benefit would be understated by (wm - wa)L, which is the value of the jobs (the employment benefits).

There are two possibilities regarding the opportunity cost of the labor: 1. wm if the input is diverted from an alternative market use; 2. wa if the worker hired would otherwise be unemployed.

Example 5.3: A Maximum Price – Rent Control

There are two possibilities regarding the opportunity cost of the accommodation: 1. wa if the input is diverted from an alternative market use; 2. wm if an additional rental unit were to be produced for the use of the project.

Example 5.4: An Indirect Tax - A Tariff on Imports   $/unit SD Price Pb Pw S D QD Q Quantity of Imported Goods (units/year)

Suppose the good is to be used as an input in a domestic investment project, an increase in demand for good will not affect the domestic price. The increase in demand will met by additional imports at the world price. Therefore, the shadow price is Pw (net of tariff). Now suppose that the investment is an import replacing project which produces the imported good as an output. Since the project satisfies the existing demand for the product from an alternative source, the shadow price is Pw (net of tariff).

Figure 5.7: The Market for Diesel Fuel Subject to a Subsidy   $/unit Price P S Ps Ss D Quantity/year

Suppose that a public project is proposed which will reduce the distance farmers have to truck their wheat. The project results in a reduced quantity of an input which would have been sourced from additional supply. Hence, P (gross of subsidy) would be the price used to value the fuel savings.

Figure 5.12: A Consumer Good Subject to an Indirect Tax       $/unit Price, Cost S + t Pb Ps S MR D Q Output (units/year)

If project output satisfies additional demand, it should be priced at Pb (the gross of tax price). If project output replaces supply from an alternative source such as imports, then it should be at P (the net of tax price).

Figure 5.1: The Efficiency Benefit-Cost Analysis Pricing Rule ITEM TO BE VALUED VALUED AT EQUILIBRIUM POINT ON A: Demand Curve Supply Curve Output Satisfies Additional Demand Satisfies Existing Demand from Alternative Source gross of tax (Example 5.12) net of subsidy net of tax (Example 5.6) gross of subsidy Input Sourced from an Alternative Market use Sourced from Additional Supply gross of tax net of subsidy net of tax gross of subsidy (Example.5.7)

In the presence of the distortionary taxes (subsidies), when a demand curve is used to determine the appropriate price, price should be measured gross of tax (net of subsidy), and when supply curve is used, the price should be net of tax (gross of subsidy).

What is a corrective tax or subsidy? A corrective tax (subsidy) is intended to discourage (encourage) an activity that is at too high (low) a level as a result of market forces. Examples: the tax on tobacco or alcohol the subsidy on flu vaccination