Your great-uncle Claude is 82 years old. Over the years, he has accumulated savings of $180,000. He estimates that he will live another 18 years at the most and wants to spend his savings by then. (If he lives longer than that, he figures you will be happy to take care of him.) Uncle Claude places his $180,000 into an account earning 9 percent annually and sets it up in such a way that he will be making 18 equal annual withdrawals—the first one occurring one year from now—such that his account balance will be zero at the end of 18 years. How much will he be able to withdraw each year?
Your great-uncle Claude is 82 years old. Over the years, he has accumulated savings of $180,000. He estimates that he will live another 18 years at the most and wants to spend his savings by then. (If he lives longer than that, he figures you will be happy to take care of him.) Uncle Claude places his $180,000 into an account earning 9 percent annually and sets it up in such a way that he will be making 18 equal annual withdrawals—the first one occurring one year from now—such that his account balance will be zero at the end of 18 years. How much will he be able to withdraw each year?
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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Your great-uncle Claude is 82 years old. Over the years, he has accumulated savings of $180,000. He estimates that he will live another 18 years at the most and wants to spend his savings by then. (If he lives longer than that, he figures you will be happy to take care of him.) Uncle Claude places his $180,000 into an account earning 9 percent annually and sets it up in such a way that he will be making 18 equal annual withdrawals—the first one occurring one year from now—such that his account balance will be zero at the end of 18 years. How much will he be able to withdraw each year?
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