You deposit $1,500 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Six years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate once more to 6% compounded annually. a. How much money should be in the savings account 18 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 18 year period? should be in the savings account 18years after the initial deposit. (Round to the nearest dollar.) b. The interest rate equivalent to the interest pattern of the saving account in Part (a) over the entire 18 year period is % per year. (Round to one decimal place.)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 24P
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You deposit $1,500 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually.
A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Six
years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8%
nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate once more to
6% compounded annually.
a. How much money should be in the savings account 18 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 18 year period?
a. $ should be in the savings account 18years after the initial deposit. (Round to the nearest dollar.)
b. The interest rate equivalent to the interest pattern of the saving account in Part (a) over the entire 18 year period is
% per year. (Round to one decimal place.)
Transcribed Image Text:You deposit $1,500 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Six years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate once more to 6% compounded annually. a. How much money should be in the savings account 18 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 18 year period? a. $ should be in the savings account 18years after the initial deposit. (Round to the nearest dollar.) b. The interest rate equivalent to the interest pattern of the saving account in Part (a) over the entire 18 year period is % per year. (Round to one decimal place.)
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