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You are hoping to buy a house in the future and recently received an inheritance of $16, 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 8 percent interest compounded annually, how many years will it be before your inheritance grows to $33, 000? b. If you let your money grow for 9.5 years at 8 percent, how much will you have? c. How long will it take your money to grow to $33, 000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $33, 000 if you move it into an account that pays 12 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums?

You are hoping to buy a house in the future and recently received an inheritance of $16, 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 8 percent interest compounded annually, how many years will it be before your inheritance grows to $33, 000? b. If you let your money grow for 9.5 years at 8 percent, how much will you have? c. How long will it take your money to grow to $33, 000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $33, 000 if you move it into an account that pays 12 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums?

Corporate Fin Focused Approach
Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 34P
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You are hoping to buy a house in the future and recently received an inheritance of $16, 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 8 percent interest compounded annually, how many years will it be before your inheritance grows to $33, 000? b. If you let your money grow for 9.5 years at 8 percent, how much will you have? c. How long will it take your money to grow to $33, 000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $33, 000 if you move it into an account that pays 12 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums?
Transcribed Image Text:You are hoping to buy a house in the future and recently received an inheritance of $16, 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 8 percent interest compounded annually, how many years will it be before your inheritance grows to $33, 000? b. If you let your money grow for 9.5 years at 8 percent, how much will you have? c. How long will it take your money to grow to $33, 000 if you move it into an account that pays 3 percent compounded annually? How long will it take your money to grow to $33, 000 if you move it into an account that pays 12 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums?
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