(Future value) You are hoping to buy a house in the future and recently received an inheritance of ​$20,000. You intend to use your inheritance as a down payment on your house.     a. If you put your inheritance in an account that earns 9 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$32,000​? b. If you let your money grow for 9.75 years at 9 percent​, how much will you​ have? c. How long will it take your money to grow to ​$32,000 if you move it into an account that pays 3 percent compounded​ annually? How long will it take your money to grow to ​$32,000 if you move it into an account that pays 11 percent​? d. What does all this tell you about the relationship among interest​ rates, time, and future​ sums?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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(Related to The Business of​ Life: Saving for Your First​ House) ​ (Future value) You are hoping to buy a house in the future and recently received an inheritance of ​$20,000. You intend to use your inheritance as a down payment on your house.

 

 

a. If you put your inheritance in an account that earns 9 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$32,000​?

b. If you let your money grow for 9.75 years at 9 percent​, how much will you​ have?

c. How long will it take your money to grow to ​$32,000 if you move it into an account that pays 3 percent compounded​ annually? How long will it take your money to grow to ​$32,000 if you move it into an account that pays 11 percent​?

d. What does all this tell you about the relationship among interest​ rates, time, and future​ sums?

 

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