A depositor puts $30,000 in a savings account that pays 4% interest, compounded quarterly. Equal annual withdrawals are to be made from the account, beginning one year from now and continuing forever. What is the maximum annual withdrawal? Please show me every step
A depositor puts $30,000 in a savings account that pays 4% interest, compounded quarterly. Equal annual withdrawals are to be made from the account, beginning one year from now and continuing forever. What is the maximum annual withdrawal? Please show me every step
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
Section: Chapter Questions
Problem 1PS
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Question
A depositor puts $30,000 in a savings account that pays 4% interest,
compounded quarterly. Equal annual withdrawals are to be made
from the account, beginning one year from now and continuing
forever. What is the maximum annual withdrawal?
Please show me every step
Expert Solution
Introduction
A perpetuity is a security that pays for an infinite amount of time. In finance, perpetuity is a constant stream of identical cash flows with no end. The formula to calculate the present value of a perpetuity, or security with perpetual cash flows, is as follows:
where:
PV = present value
C = cash flow
r = discount rate
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