Suppose you are an economist at the US Army Corps of Engineers. The Corps is considering whether to build a dam (such as the Kinzua Dam) to prevent flooding on a major river. The Corps asks you to conduct a cost benefit analysis of the project. The dam is expected to be in service for over 100 years, so you can assume the time horizon is essentially infinite. You have the following information: Estimated costs: • $1 billion in construction costs in the first year $10 million in maintenance costs every year, forever Estimated benefits: • $20 million in property damage avoided every year, forever • 3 flooding deaths prevented every year, forever la. Assumer-3% and the value of a statistical life is $10 million. Calculate the present value of net benefits for the dam. Do you recommend that the project be approved? 1b. Assume the VSL is still $10 million. How big would the discount rate have to be to change your recommendation of the dam's approval? (In other words, find r such that the present value of net benefits is zero)

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1c. Assume r-5%. How big would VSL have to be to justify the dam's construction based only
on the benefits in terms of flooding deaths prevented?
1d. In your opinion, should the dam be constructed? Explain your answer with reference to the
discount rate and the value of a statistical life.
Transcribed Image Text:1c. Assume r-5%. How big would VSL have to be to justify the dam's construction based only on the benefits in terms of flooding deaths prevented? 1d. In your opinion, should the dam be constructed? Explain your answer with reference to the discount rate and the value of a statistical life.
Suppose you are an economist at the US Army Corps of Engineers. The Corps is considering
whether to build a dam (such as the Kinzua Dam) to prevent flooding on a major river. The
Corps asks you to conduct a cost benefit analysis of the project. The dam is expected to be in
service for over 100 years, so you can assume the time horizon is essentially infinite. You have
the following information:
Estimated costs:
• $1 billion in construction costs in the first year
$10 million in maintenance costs every year, forever
Estimated benefits:
$20 million in property damage avoided every year, forever
• 3 flooding deaths prevented every year, forever
1a. Assume r-3% and the value of a statistical life is $10 million. Calculate the present value of
net benefits for the dam. Do you recommend that the project be approved?
1b. Assume the VSL is still $10 million. How big would the discount rate have to be to change
your recommendation of the dam's approval? (In other words, find r such that the present value
of net benefits is zero)
Transcribed Image Text:Suppose you are an economist at the US Army Corps of Engineers. The Corps is considering whether to build a dam (such as the Kinzua Dam) to prevent flooding on a major river. The Corps asks you to conduct a cost benefit analysis of the project. The dam is expected to be in service for over 100 years, so you can assume the time horizon is essentially infinite. You have the following information: Estimated costs: • $1 billion in construction costs in the first year $10 million in maintenance costs every year, forever Estimated benefits: $20 million in property damage avoided every year, forever • 3 flooding deaths prevented every year, forever 1a. Assume r-3% and the value of a statistical life is $10 million. Calculate the present value of net benefits for the dam. Do you recommend that the project be approved? 1b. Assume the VSL is still $10 million. How big would the discount rate have to be to change your recommendation of the dam's approval? (In other words, find r such that the present value of net benefits is zero)
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