Problem 4-7
Present and Future Value of an Uneven Cash Flow Stream
An investment will pay $100 at the end of each of the next 3
years, $400 at the end of Year 4, $600 at the end of Year 5, and
$800 at the end of Year 6. If other investments of equal risk earn
10% annually, what is its present value? Round your answer to the
nearest cent.
$
What is its future value? Round your answer to the nearest
cent.
$
a.
Year | Cash inflows | PVF @ 10% | PV of cash flows |
1 | 100 | 0.909090909 | 90.90909091 |
2 | 100 | 0.826446281 | 82.6446281 |
3 | 100 | 0.751314801 | 75.13148009 |
4 | 400 | 0.683013455 | 273.2053821 |
5 | 600 | 0.620921323 | 372.5527938 |
6 | 800 | 0.56447393 | 451.579144 |
Total | 1346.022519 |
Present Value = $1346
b.
Year | Cash inflows | FV @10% | FV of cash flows |
1 | 100 | 1.61051 | 161.051 |
2 | 100 | 1.4641 | 146.41 |
3 | 100 | 1.331 | 133.1 |
4 | 400 | 1.21 | 484 |
5 | 600 | 1.1 | 660 |
6 | 800 | 1 | 800 |
Total | 2384.561000 |
Future value = $2385
Get Answers For Free
Most questions answered within 1 hours.