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 | ||||||
| $ | 12 | 6 | % | $ | 15,051 | ||||
| 3 | 12 | 47,557 | |||||||
| 28 | 13 | 882,073 | |||||||
| 30 | 10 | 546,164 | |||||||
| | |||||||||
Explanation:
| To find the PV of a lump sum, we use: |
| PV = FV / (1 + r)t |
| PV = $15,051 / (1.06)12 | = | $ | 7,479.89 |
| PV = $47,557 / (1.12)3 | = | $ | 33,850.13 |
| PV = $882,073 / (1.13)28 | = | $ | 28,794.41 |
| PV = $546,164 / (1.10)30 | = | $ | 31,299.87 |
| Calculator Solution: |
| Note: Intermediate answers are shown below as rounded, but the full answer was used to complete the calculation. |
| Enter |
12
|
6%
| | |
$15,051
| ||||||||||
| | |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| |
| Solve for | | |
$7,479.89
| | | ||||||||||
| Enter |
3
|
12%
| | |
$47,557
| ||||||||||
| | |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| |
| Solve for | | |
$33,850.13
| | | ||||||||||
| Enter |
28
|
13%
| | |
$882,073
| ||||||||||
| | |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| |
| Solve for | | |
$28,794.41
| | | ||||||||||
| Enter |
30
|
10%
| | |
$546,164
| ||||||||||
| | |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| |
| Solve for | | |
$31,299.87
| | | ||||||||||
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