You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account Part (a) over the entire 17 year period?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
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You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. 

a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate?

b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 17-year period?
Transcribed Image Text:You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 17-year period?
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