In: Finance
Problem 10-01
NPV
A project has an initial cost of $74,950, expected net cash inflows of $14,000 per year for 12 years, and a cost of capital of 11%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round your intermediate calculations. Round your answer to the nearest cent.
NPV = $15,942.99
Calculations:
Year (n) | Cash flows | 1+r | PVIF = 1/(1+r)^n | PV = cash flow * PVIF |
0 | - 74,950.00 | 1.11 | 1.0000 | - 74,950.00 |
1 | 14,000.00 | 0.9009 | 12,612.61 | |
2 | 14,000.00 | 0.8116 | 11,362.71 | |
3 | 14,000.00 | 0.7312 | 10,236.68 | |
4 | 14,000.00 | 0.6587 | 9,222.23 | |
5 | 14,000.00 | 0.5935 | 8,308.32 | |
6 | 14,000.00 | 0.5346 | 7,484.97 | |
7 | 14,000.00 | 0.4817 | 6,743.22 | |
8 | 14,000.00 | 0.4339 | 6,074.97 | |
9 | 14,000.00 | 0.3909 | 5,472.95 | |
10 | 14,000.00 | 0.3522 | 4,930.58 | |
11 | 14,000.00 | 0.3173 | 4,441.97 | |
12 | 14,000.00 | 0.2858 | 4,001.77 | |
NPV = sum of all PVs | 15,942.99 |