For the following mixed stream of cash flows, determine the future value at the end of the final year if deposits are made at the beginning of each year into an account paying annual interest of
1010%,
assuming no withdrawals are made during the period.
Year |
Cash Flow Stream |
|
1 |
17 comma 00017,000 |
|
2 |
8 comma 5008,500 |
|
3 |
7 comma 0007,000 |
Year |
Cash Flow Stream |
|
1 |
17 comma 00017,000 |
|
2 |
8 comma 5008,500 |
|
3 |
7 comma 0007,000 |
|
Future Value
($)equals= |
nothing |
(Round to the nearest cent.) |
Future Value | |||
Last period= | 3 | ||
Compounding rate | 10.000% | ||
Year | 0 | 1 | 2 |
Cash flow stream | 17000 | 8500 | 7000 |
Compounding factor | 1.331 | 1.210 | 1.100 |
Compounded cash flows | 22627.000 | 10285.000 | 7700.000 |
FV = Sum of compounded cash flows | |||
FV= | 40612.00 | ||
Where | |||
Compunding factor = | (1 + rate)^(Last period-Corresponding period in years) | ||
Compounded Cashflow= | Cash flow stream*compounding factor |
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