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Consider a project with free cash flows in one year of $135,391 or $161,371, with each outcome being equally likely. The initial investment required for

Consider a project with free cash flows in one year of

$135,391

or

$161,371,

with each outcome being equally likely. The initial investment required for the project is

$96,047,

and the project's cost of capital is

25%.

The risk-free interest rate is

10%.

a. What is the NPV of this project?

b. Suppose that to raise the funds for the initial investment, the project is sold to investors as an all-equity firm. The equity holders will receive the cash flows of the project in one year. How much money can be raised in this

waythat

is, what is the initial market value of the unlevered equity?

c. Suppose the initial

$96,047

is instead raised by borrowing at the risk-free interest rate. What are the cash flows of the levered equity, what is its initial value and what is the initial equity according to MM?

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