In: Finance
You run a construction firm. You have just won a contract to build a government office complex. Building it will require an investment of $ 10.0 million today and $ 5.0 million in one year. The government will pay you $ 20.0 million in one year upon the? building's completion. Suppose the interest rate is 10.0 %.
a. What is the NPV of this? opportunity?
b. How can your firm turn this NPV into cash? today?
Statement showing Cash flows | ||||
Particulars | Time | PVf 10% | Amount | PV |
Cash Outflows | - | 1.0000 | (10,000,000.00) | (10,000,000.00) |
Cash Outflows | 1.00 | 0.9091 | (5,000,000.00) | (4,545,454.55) |
PV of Cash outflows = PVCO | (14,545,454.55) | |||
Cash inflows | 1.00 | 0.9091 | 20,000,000.00 | 18,181,818.18 |
PV of Cash Inflows =PVCI | 18,181,818.18 | |||
NPV= PVCI - PVCO | 3,636,363.64 | |||
One year from now, your investments would cost $16 (10m*1.1 + 5m). The government will pay 20m at the same time. This means that 1 year from now, you will have a 4 mil profit. If you borrow the $3,636,363.63 (4m/1.1) now and get cash, your borrowing will cost you 10% interest which is ~$4mil |