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Compute the future value of Rs.5000 at the end of 6 years, whether nominal interest rate is 12 percent and the interest is allocated (payable) quarterly at frequency = 4
Solution:
FVn = PV (1 + k/m )m*n
FV6 = 5000(1 + .12/4)6*4
= 50000 (1 + .03)24
= 5000 * 2.0328
= 10,164
After 6 years the future value of Rs.5000 on the origin of quarterly compounding would be as Rs.10 164 whereas in condition of semi-annual and yearly compounding the future value would be as
FV6 = 5000(1 + .12/2)6*2
= 50000 (1 + .06)12
= 5000 * 2.0122
= 10,061
FV6 = 5000(1 + .12)6
= 5000(1.9738)
= 9868
This dissimilarity in future value is because of the fact that interest on interest has been computed.
How to treat them both which affect the trial balance and which dont affect the trial balance
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