Originally, the depositor intended to make two $100 withdrawals, the fırst in 2022 and the second in 2026, emptying an account that earns 5% interest, compounded annually. Now, suppose the depositor changes their mind (i.e., does not make these two withdrawals) and instead decides to empty the account with a single withdrawal in 2025. What is the withdrawal amount that would empty the account? (The original data must be used; that is, the answer to [4a] may only be used to verify the answer to this question.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 34P
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4b.
Originally, the depositor intended to make two $100 withdrawals, the first in 2022 and the second in 2026, emptying an
account that earns 5% interest, compounded annually. Now, suppose the depositor changes their mind (i.e., does not make
these two withdrawals) and instead decides to empty the account with a single withdrawal in 2025. What is the withdrawal
amount that would empty the account? (The original data must be used; that is, the answer to [4a] may only be used to verify
the answer to this question.)
Transcribed Image Text:4b. Originally, the depositor intended to make two $100 withdrawals, the first in 2022 and the second in 2026, emptying an account that earns 5% interest, compounded annually. Now, suppose the depositor changes their mind (i.e., does not make these two withdrawals) and instead decides to empty the account with a single withdrawal in 2025. What is the withdrawal amount that would empty the account? (The original data must be used; that is, the answer to [4a] may only be used to verify the answer to this question.)
Expert Solution
Step 1

SOLUTION:

Assume the present year is 2021

PRINCIPLE AMOUNT: P

RATE OF INTEREST (R): 5%

COMPOUND ANNUALLY (A):

P×1+R100n

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