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Learn about the framework and importance of benefit-cost analysis in decision-making for public projects. Explore examples and the calculation of benefit-cost ratios to assess project viability.
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Chapter 12Benefit-Cost Analysis • Framework of Benefit- Cost Analysis • Evaluation of Benefits and Costs • Benefit-Cost Ratios
Benefit-Cost Analysis • Benefit-cost (BC) analysis is a decision making tool commonly used to systematically develop useful information about the desirable and undesirable effects of public projects. • In the Benefits-cost analysis determining social benefits of a public activity is more important than costs. • Examples of BC analyses: Public transportation systems, Environmental regulations on noise and pollution, Public safety programs, Education and training programs, Public health programs, Water resource development projects, and national defense programs.
Framework of Benefit-Cost Analysis • Identifying all the users’ benefits (favorable outcome) and disbenefits (unfavorable outcomes)expected to arisefrom the project. • Quantifying all benefits and disbenefits in dollars to allow comparisons. • Identify sponsor’s cost and quantify them. • Determine the equivalent benefits and costs at the base period and use an appropriate interest ratefor the project. • Accept the project if the equivalent users’ benefits exceed the equivalent sponsors’ costs.
Benefit-Cost Ratios • Alternative way to express the value of a public project is to compare the users’ benefits (B) to sponsors’ cost (C) by taking the ratio B/C. • Define the benefit-cost (B/C) ratio, and explain the relationship between the conventional NPW criterion and the B/C ratio. If this BC ratio exceeds1, the project can be justified
Definition of Benefit-Cost Ratio bn=Benefit at the end of period n, cn=Expense at the end of period n, An= bn – cn N = Project life i =Sponsor’s interest rate (discount rate)
Breakdown of the Sponsor’s Cost Equivalent capital investment at n = 0 Equivalent O&M costs at n = 0 • The sponsor’s cost ( C ) consist of the capital expenditure ( I ) and the equivalent annual operating and maintenance costs ( C’ ) accumulated in each successive period. • Let’s assume series of initial investment required during the first K periods, while annual operating and maintenance costs accumulate in each period.
Relationship between B/C Ratio & NPW B > (I + C’) B – (I+ C’) > 0 PW(i) = B – C > 0
Example 12.1 BC Analysis Benefits (bn) $30 $30 K = 1 N = 5 $20 $20 $5 $8 $5 $8 $10 $10 Recurring costs (cn) Investment (cn)