Discount rate

A public project has the following costs and benefits (in real
dollars): Assume that 6% is the appropriate discount rate and that all
costs and benefits displace only consumption.

a) What is the net present value (NPV) of the project? Does the
project satisfy the Kaldor-Hicks criterion? (You Could show division of
Year 0 cost by 1.06= 1 if desired)

b) Suppose that all benefits are received by a “privileged” group in
society (e.g., those with annual incomes above $100,000) and all costs
are paid by an “underprivileged” group. What is the relative internal
weight on the underprivileged group? Should the policy be enacted if the
“true” social weight is greater or less than the internal weight?
Explain.

c) Suppose instead that 50% of the initial (Year 0) costs displace
private investment and the shadow price of capital (SPC) is 1.25.
Ignoring distributional issues and using the SPC method, what is the NPV
of the project?

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