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Savatey [412]
3 years ago
8

Suppose you just bought an annuity with 9 annual payments of $15,400 at the current interest rate of 11 percent per year. a. Wha

t is the value of the investment at the current interest rate of 11 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What happens to the value of your investment if interest rates suddenly drop to 6 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What happens to the value of your investment if interest rates suddenly rise to 16 percent?
Business
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

Instructions are listed below

Explanation:

Giving the following information:

Suppose you just bought an annuity with 9 annual payments of $15,400 at the current interest rate of 11 percent per year.

First, we need to determine the final value with the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Then, we can calculate the present value with the following formula:

PV= FV/(1+i)^n

A)i=11%

FV= {15400*[(1.11^9)-1]}/0.11

FV= $218,125.17

PV= 218,125.17/(1.11^9)= $85,270.53

B) i= 6%

FV= {15400*[(1.06^9)-1]}/0.06

FV= $176,966.27

PV= 176,966.27/(1.06^9)= $104,746.06

C) i= 16%

FV= $269,785.02

PV= $70,940.77

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