McGraw-Hill/Irwin Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. CHAPTER 8 COST-BENEFIT ANALYSIS
8-2 Projecting Present Dollars into the Future R 0 = $1000 R 1 = $1000*(1+.01) = $1010 R 2 = $1010*(1+.01) = $ R 2 = $1000*(1+.01) 2 = $ R T = R 0 *(1+r) T
8-3 Projecting Future Dollars into the Present R 0 = $1000 R 1 = $1000*(1+.01) = $1010 R 2 = $1010*(1+.01) = $ R 2 = $1000*(1+.01) 2 = $ R T = R 0 *(1+r) T R 0 = R T/ (1+r) T Present Value discount rate discount factor
8-4 Present Value of a Stream of Money
8-5 Inflation
8-6 Private Sector Project Evaluation Annual Net ReturnPV YearR&DAdvertisingR =R&DAdvertising 0$1,000-$1,0000$150$ , Admissible Preferable Present Value Criteria
8-7 Internal Rate of Return ProjectYear 0Year 1ρProfitPV X-$100$11010%$43.77 Y-$1,000$1,0808%$
8-8 Benefit-Cost Ratio Benefit-cost ratio = B/C
8-9 Problems with the Benefit-cost Ratio MethodBCB/C I$250$ II$200$ I: Subtract $40 mistake from B $210$ I: Add $40 mistake to C $250$
8-10 Discount Rate for Government Projects Returns in Private Sector Social Discount Rate Concern for Future Generations Paternalism Market Inefficiency Government Discounting in Practice
8-11 Valuing Public Benefits and Costs Market Prices Adjusted Market Prices shadow price Monopoly Taxes Unemployment Consumer Surplus Pounds of avocados per year Price per pound of avocados DaDa SaSa d A0A0 Sa’Sa’ $1.35 $2.89 b c g A1A1 e
8-12 Inferences from Economic Behavior The Value of Time The Value of Life Lost earnings Probability of Death
8-13 Valuing Intangibles Subverting cost-benefit exercises Reveal limits on intangibles Cost-effectiveness analysis
8-14 Games Cost-Benefit Analysts Play The Chain-Reaction Game The Labor Game The Double-Counting Game
8-15 Distributional Considerations Hicks-Kaldor Criterion – a project should be undertaken if it has positive net present value, regardless of distributional consequences Government costlessly corrects any undesirable distributional aspects Weighted benefits
8-16 Uncertainty ProjectBenefitProbabilityEV X$1, $1,000 Y $1,000 $2, Certainty Equivalent
8-17 Are Reductions in Class Size Worth It? Discount rate Costs Benefits The Bottom Line and Evaluation
8-18 Use (and Nonuse) by Government Using Cost-Benefit Analysis Not Using Cost-Benefit Analysis Clean Air Act Endangered Species Act Food, Drug and Cosmetic Act
8-19 Calculating the Certainty Equivalent Value Income per year Utility C E I* E + y U(E) U* U(E + y) U Expected income Certainty Equivalent