For each of the following, compute the present value (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)):
|
| Present Value | Years | Interest Rate | Future value | ||||||
| $ | 14 | 8 | % | $ | 16,451 | ||||
| 5 | 14 | 61,557 | |||||||
| 30 | 15 | 896,073 | |||||||
| 35 | 8 | 560,164 | |||||||
| | |||||||||
Explanation:
| To find the PV of a lump sum, we use: |
| PV = FV / (1 + r)t |
| PV = $16,451 / (1.08)14 | = | $ | 5,600.92 |
| PV = $61,557 / (1.14)5 | = | $ | 31,970.78 |
| PV = $896,073 / (1.15)30 | = | $ | 13,533.44 |
| PV = $560,164 / (1.08)35 | = | $ | 37,886.44 |
| Calculator Solution: |
| Note: Intermediate answers are shown below as rounded, but the full answer was used to complete the calculation. |
| Enter |
14
|
8%
| | |
$16,451
| ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | |
$5,600.92
| | | ||||||||||
| Enter |
5
|
14%
| | |
$61,557
| ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | |
$31,970.78
| | | ||||||||||
| Enter |
30
|
15%
| | |
$896,073
| ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | |
$13,533.44
| | | ||||||||||
| Enter |
35
|
8%
| | |
$560,164
| ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | |
$37,886.44
| | | ||||||||||
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