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Future worth, F, has to be found from a present amount, P, five years from now a

ID: 1143203 • Letter: F

Question

Future worth, F, has to be found from a present amount, P, five years from now at an interest rate of 12% per year, compounded daily A What interest rate must be used in the FIPfactor, (FIP,Po,n), when n is 5? The interest rate that must be used in the FP factor, (FP%,n), when n is 5 is L%. B what interest rate must be used in the RP factor, (FPA6,n), when n is 10? | The interest rate that must be used in the RP factor, (RP%,n), when n is 10 is-% c | what interest rate must be used in the FP factor, (FP&n), when n is 20? . The interest rate that must be used in the RP factor, (FPM,n), when n is 20 is L %.

Explanation / Answer

ANSWER:

I = 12% PER YEAR COMPOUNDED DAILY.

no of days in a year = 365

effective interest rate = ( 1 + i / n) ^ n - 1

eir = ( 1 + 12% / 365) ^ 365 - 1

eir = (1 + 0.000329) ^ 365 - 1

eir = (1.000329) ^ 365 - 1

eir = 1.127475 - 1

eir = 0.127475 or 12.74% or 12.75% (upto 2 decimal places)

so i = 12.75%

a) when n is 5 , i = 12.75%

b) when n is 10 , i = 12.75%

c) when n is 20 , i = 12.75%