Cost-benefit analysis

Cost-benefit analysis is used to evaluate projects that generate non-financial costs and benefits, taking account of the preferences of those affected. It has applications to the provision of public goods for which preferences are not reflected in market prices. Although its quantitative results are necessarily approximate, it can sometimes provide a persuasive guide to a choice among alternatives. It is claimed that, by taking account of the strengths of preferences, cost-benefit analysis can provide a better guide to choice than can be obtained from voting.

Introduction

The function of cost-benefit analysis is to inform a decision that is to be taken on behalf of others. Its purpose is to indicate whether the proposed decision would be consistent with the preferences of those affected. The actions required are:

• the specification of the scope of the analysis and of the decision criterion to be used;
• the forecasting of the material consequences of the proposed decision;
• the monetary valuation of each consequence in light of the preferences of those that would be affected;
• the aggregation of those valuations as required in order to apply the decision criterion; and,
• the interpretation of the aggregated valuations.

Specification

Scope

The scope of an analysis is normally determined by the requirements of its prospective users. The evaluation of a medical procedure might, for example, be concerned solely with its effects on patients and their families, or it might also encompass effects on the hospital or on the public at large. An evaluation of migration commissioned by a European government might or might not be required to include effects upon migrants and their families, but an evaluation commissioned by the European Union might be expected to require the inclusion of effects upon all of its inhabitants. Some users require the coverage of a longer timescale than others, and environmental studies may even be required to encompass effects on future generations.

Criterion

The customary ("consequentialist") decision criterion of cost-benefit analysis uses the summation of the effects of the expected consequences of a decision on the well-being of people within its scope. The alternative ("deontologist") decision criterion takes account of predetermined rules that reflect the beliefs or customs of the community concerned. To make a summation possible, a monetary cost or benefit is assigned to each of those effects. The summation normally used is then that of the costs and benefits of each effect, weighted by their estimated probability of occurrence, and discounted using the estimated time preference rates of those affected. The normal acceptance criterion for a single project is a positive net present expected value of the excess of benefits over costs, and the normal criterion for the acceptance of one among several alternatives is that it should be the one with the highest net present expected value. Some authorities specify a required rate of return criterion, but that has the disadvantage that the associated internal rate of return calculation can sometimes produce inconsistent results .

Methodology

Forecasts

The practice of cost-benefit analysis depends upon the assumption that - although the acceptability of the consequences a decision is determined by the reactions of those affected - the forecasting of those consequences is the responsibility of the decision-maker. That responsibility is assumed to be delegated to a representative government by its voters (and also, for example, to a medical practitioner by his patients). It is here assumed that forecasts of all of the expected outcomes and their probabilities are already available.

Valuation

The outcomes whose valuations typically figure in cost-benefit analysis, include non-financial benefits such as the saving of time and the relief of suffering, and non-financial costs in the form of unwelcome experiences such as injury and exposure to noise. The monetary value to a person of such an outcome is taken to be the amount that he would be willing to pay in order to enjoy its benefits or avoid its costs. The preferred way of estimating the relevant willingness to pay is the revealed willingness to pay method, which depends upon observations of the subjects' conduct in making free and well-informed choices. Valuation can be reliably estimated from the price that is determined by choices made in an efficient market, a reasonable approximation to which is often provided by organised markets for products and services. An alternative is the contingent valuation method which employs survey questionnaires to establish the subjects' stated willingness to pay. Another possibility is the valuation of particular outcomes according to the observed community willingness to pay in expression of its collective attitude to similar outcomes. (Under that approach, the value of life might be derived from the costs of communally-determined practices concerning its preservation, such as prolonged hospitalisation).

Aggregation

The preferred method of aggregation is to calculate the sum of the net present expected values of all the outcomes, using their estimated probabilities and the appropriate discount rate. An exception is the practice (adopted in some assessments of global warming) of assessing the value of a "worst case scenario" when probability estimates are not available.

Applications

Health and safety

The value of life

Estimates of the value of a life have featured in cost-benefit analyses of medical programmes, road safety schemes and health and safety regulations. The evidence on which they are based has come mainly from studies of the market tradeoffs between money and fatality risks, and mainly from the analysis of the premiums paid to employees to compensate them for undertaking risky work. Such risk premium studies have been shown to imply values of life ranging from less than a million dollars to over 20 million (at 2000 prices), rising with income and falling with age. It seems unlikely that contingent valuation estimates exhibit less scatter.

The available evidence thus leaves the users of cost-benefit analysis with a wide range of choice. The valuations that have been adopted include:-

• United States Department of Transportation. Value of a statistical life: $5.8 million @ 2007 prices (range $3.2 to $8.4 million).
• European Commission. Value of a death from environmental pollution (age adjusted): €1 million @ 2000 prices (range €0.65 to €2.5 million) .
• United Kingdom Department for Transport. Average value of prevention per fatal casualty: £1.43 million @ 2005 prices (human cost £0.94 million, lost output £0.49 million)
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Unlike the transport and environmental authorities, the medical authorities are able to make informed estimates of the duration of the lives saved and of their likely quality of life. Consequently their evaluations have generally used measures of "quality-adjusted life-years" saved, rather than numbers of lives saved. The United Kingdom's National Institute for Health and Clinical Excellence (NICE) authorities use that measure to stipulate arbitrary cost-effectiveness thresholds (in the range £20,000 to £30,000 per quality adjusted life-year) rather than performing explicit cost-benefit analyses. Similarly, it does not appear that cost-benefit analysis is applied to medical procedures in the United States. A 2006 analysis of current practice there has concluded that the medical cost per year of life gained had increased from $7,400 in the 1970s to $36,300 in the 1990s . Survey-based quality of life assessments that are available from international organisations are in general use, however.

Costs of injuries

The United States and United Kingdom authorites allow for the cost of road traffic injuries by applying injury severity factors to their cost of life estimates that allow for the lower human costs and higher medical costs