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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