You place $2,000 in an account that pays 8% interest compounded continuously. You plan to hold the account exactly 3 years. At the same time, in another account you deposit money that earns 9% compounded semiannually. If you want the accounts to have the same amount at the end of the 3 years, how much of an initial deposit do you need to make now in the account that pays 9% interest compounded semiannually?

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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(4B-8) Payment and Continuous Compounding
You place $2,000 in an account that pays 8% interest compounded continuously. You
plan to hold the account exactly 3 years. At the same time, in another account you
deposit money that earns 9% compounded semiannually. If you want the accounts to
have the same amount at the end of the 3 years, how much of an initial deposit do
you need to make now in the account that pays 9% interest compounded
semiannually?
Transcribed Image Text:(4B-8) Payment and Continuous Compounding You place $2,000 in an account that pays 8% interest compounded continuously. You plan to hold the account exactly 3 years. At the same time, in another account you deposit money that earns 9% compounded semiannually. If you want the accounts to have the same amount at the end of the 3 years, how much of an initial deposit do you need to make now in the account that pays 9% interest compounded semiannually?
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