You run a construction firm.
You have just won a contract to build a government office
complex.
Building it will require an investment of 9.5 million today and
$5.3 million in one year. The government will pay you $20.8 million
in one year upon the building's completion. Suppose the interest
rate is 10.4% .
a. What is the NPV of this opportunity?
b. How can your firm turn this NPV into cash today?
1.
=-9.5-5.3/1.104+20.8/1.104
=4.54 million
2.
The firm can borrow 18.84 million today, and pay it back with 10.4%
interest using the 20.8 million it will receive from the government
(18.84 × 1.104 = 20.8). The firm can use 9.5 million of the 18.84
million to cover its costs today and save 4.80 million in the bank
to earn 10.4% interest to cover its cost of 4.80 × 1.104 = 5.3
million next year.
This leaves 18.84 - 9.5 - 4.80 = 4.54 million in cash for the firm
today.
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