For each of the following, compute the future 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 | ||||||
| $ | 2,050 | 12 | 12 | % | $ | ||||
| 8,352 | 6 | 10 | |||||||
| 72,355 | 13 | 11 | |||||||
| 179,796 | 7 | 7 | |||||||
| | |||||||||
Explanation:
| To find the FV of a lump sum, we use: |
| FV = PV(1 + r)t |
| FV = $2,050(1.12)12 | = | $ | 7,986.75 |
| FV = $8,352(1.10)6 | = | $ | 14,796.08 |
| FV = $72,355(1.11)13 | = | $ | 280,974.74 |
| FV = $179,796(1.07)7 | = | $ | 288,713.09 |
| Calculator Solution: |
| Note: Intermediate answers are shown below as rounded, but the full answer was used to complete the calculation. |
| Enter |
12
|
12%
|
±$2,050
| | | ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | | | |
$7,986.75
| ||||||||||
| Enter |
6
|
10%
|
±$8,352
| | | ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | | | |
$14,796.08
| ||||||||||
| Enter |
13
|
11%
|
±$72,355
| | | ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | | | |
$280,974.74
| ||||||||||
| Enter |
7
|
7%
|
±$179,796
| | | ||||||||||
| |
N
| | |
I/Y
| | |
PV
| | |
PMT
| | |
FV
| | |
| Solve for | | | | |
$288,713.09
| ||||||||||
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