An entrepreneur has access to two mutually exclusive investment
projects (project A and project B). Both projects cost $60 million
today. One year from now Project A generates a cash flow of $90
million for sure; the cash flow of project B can be $150 million if
the state of the economy is good and $10 million if the state of
the economy is bad. Each state is equally likely. Assume that all
agents in the economy are risk neutral and discount cash flows with
a zero interest rate.
a) Find the net present value (NPV) of each project.
[2 marks]
b) Suppose that the project is fully financed with debt. The
lenders anticipate that in this case the entrepreneur (who is the
unique equity-holder) will prefer to undertake project B. Determine
the face value of their debt and show that project B will indeed be
chosen by the entrepreneur. Compute the value of equity. Discuss
your results.
[10 marks]
c) Briefly discuss how the company could mitigate the problem
arising in question 5b.
[5 marks]
d) Now assume that the project is financed with a mix of the
entrepreneur’s own funds and debt. Assume that the entrepreneur
uses $45 million of her own funds and raises $15 million of debt.
Which of the two projects (A or B) would be undertaken in this
case? Compare your findings with question (b) and discuss your
results.
An entrepreneur has access to two mutually exclusive investment projects (project A and project B). Both projects cost $
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