Question

In: Finance

FOR EACH OF THE CASES SHOWN IN THE TABLE BELOW, CALCULATE THE FUTURE VALUE OF THE...

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

Solutions

Expert Solution

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


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