You run a construction firm. You have just won a contract to build a government office complex. Building it will require an investment of
$ 9.9
million today and
$ 4.5
million in one year. The government will pay you
$ 21.9
million in one year upon the building's completion. Suppose the interest rate is
10.7 %
a. What is the NPV of this opportunity?
b. How can your firm turn this NPV into cash today?
a. What is the NPV of this opportunity?
The NPV of the proposal is
million.
Answer :
a) NPV is the difference between present value of cash inflow and present value of cash outflow.
NPV = PV of cash inflows - PV of cash outflows
PV of cash outflows = 9,900,000 + 4,500,000 / ( 1 + 0.107 )
= 9,900,000 + 4,065,040.65
= 13,965,040.65
PV of cash inflows = 21,900,000 / ( 1 + 0.107 )
= 19,783,197.83
NPV = 19,783,197.83 - 13,965,040.65
= 5,818,157.18
b) The firm can borrow $19,783,197.83 today, and pay it back with 10.7% interest using the $21.9 million it will receive from the government.
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