In: Finance
FOR EACH OF THE CASES SHOWN IN THE TABLE BELOW, CALCULATE THE FUTURE VALUE OF THE SINGLE CASH FLOW DEPOSITED TODAY THAT WILL BE AVAILABLE AT THE END OF THE DEPOSIT PERIOD IF THE INTEREST IS COMPOUNDED ANNUALLY, SEMI ANNUALLY AND QUARTERLY AT THE RATE SPECIFIED OVER THE GIVEN PERIOD.
CASE |
CASH FLOW |
INTEREST RATE |
DEPOSIT PERIOD (YEARS) |
ORDINARY ANNUITY |
ANNUITY DUE |
|
A |
$750 |
8% |
10 |
|||
B |
$3,250 |
12% |
8 |
|||
C |
$9,500 |
16% |
20 |
|||
D |
$10,000 |
20% |
4 |
|||
CASE | CASH FLOW | INTEREST RATE | DEPOSIT PERIOD (YEARS) | |||||||
quarterly OA | semiannual OA | Annual OA | quarterly AD | semiannual AD | Annual AD | |||||
A | 750 | 8% | 10 | $ 1,656.03 | $ 1,643.34 | $ 1,619.19 | $ 1,656.03 | $ 1,643.34 | $ 1,619.19 | |
B | 3,250 | 12% | 8 | $ 8,369.02 | $ 8,256.14 | $ 8,046.88 | $ 8,369.02 | $ 8,256.14 | $ 8,046.88 | |
C | 9,500 | 16% | 20 | $ 2,18,973.09 | $ 2,06,382.95 | $ 1,84,877.21 | $ 2,18,973.09 | $ 2,06,382.95 | $ 1,84,877.21 | |
D | 10,000 | 20% | 4 | $ 21,828.75 | $ 21,435.89 | $ 20,736.00 | $ 21,828.75 | $ 21,435.89 | $ 20,736.00 |
Now since there are no cash flows in interim, there will not be any difference in FV calculated due to annuity due or ordinary annuity