Question

Calculate the future value of $3,000 in a. Four years at an interest rate of 5% per year. b. Eight years at an interest rate of 5% per year. c. Four years at an interest rate of 10% per year. d. Why is the amount of interest eared in part (a) less than half the amount of interest earned in part (b)? a. Four years at an interest rate of 5% per year. The future value of $3,000 in 4 years at an interest rate of 5% per year is $. (Round to the nearest dollar.) b. Eight years at an interest rate of 5% per year. The future value of $3,000 in 8 years at an interest rate of 5% per year is $. (Round to the nearest dollar) c. Four years at an interest rate of 10% per year. The future value of $3,000 in 4 years at an interest rate of 10% per year is s.). (Round to the nearest dollar) d. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)? (Select the best choice below.) O A. The amount of interest earned in part (a) is really half of the amount of interest eamed in part (b) since in part (b) the money grows for twice as many years as in part (a). B. This results because you earn interest on past interest. Since more interest has been paid at the end of the time period than at the beginning, the money grows faster OC. The interest earned in part (a) is based on a lower effective annual interest rate. OD. The annual interest rate in part(b) is slightly higher than the rate assumed in part (a). This is because of compounding, Click to select your answer(s).

Answer 1

ANSWER

Future Value =Present Value*(1+i)ⁿ

a)FV=$3000*(1+0.05)⁴=$3646.52

b)FV=$3000*(1+0.05)⁸=$4432.37

c)FV=$3000*(1+0.1)⁴=$4392.30

d)OPTION-C,The interest earned in part a has low effective rate .To increase the effective rate you have to increase the no. of years that's why part b earns more interest.