Assume we receive $1200 at the end of each year for 6 years. What is the equivalent value of the cash flows at time period 0 assuming 5% interest? What is the equivalent value at the end of time period 6 assuming 5% interest?
Req A. Present value of amount received at Year-0 is $6091
The explanation is as follows:
Year | Cash inflows | PVF @ 5% | Present value |
1 | 1200 | 0.952381 | 1142.857 |
2 | 1200 | 0.907029 | 1088.435 |
3 | 1200 | 0.863838 | 1036.605 |
4 | 1200 | 0.822702 | 987.243 |
5 | 1200 | 0.783526 | 940.2314 |
6 | 1200 | 0.746215 | 895.4585 |
Present value of cash inflows | 6091 |
Req B: The future value of amount received at Year 6 is $8162
The explanation is as follows:
Year | Cash inflows | FVF @ 5% | Future value |
1 | 1200 | 1.276282 | 1531.538 |
2 | 1200 | 1.215506 | 1458.608 |
3 | 1200 | 1.157625 | 1389.15 |
4 | 1200 | 1.1025 | 1323 |
5 | 1200 | 1.05 | 1260 |
6 | 1200 | 1 | 1200 |
Fture value of cash inflow at Year -6 | 8162 |
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