EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN: 9781337514835
Author: MOYER
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 5, Problem 32P
Summary Introduction

To determine: The amount Person X should save for his retirement at the end of each quarter.

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1. Your financial planner has advised you to initiate a retirement account while you are still young. Today is your 35th birthday and you are planning to retire at age 65. Actuarial tables show that individuals in your age group have a life expectancy of about 75. If you want a $50,000 annuity beginning on your 66th birthday which will grow at a rate of 4 percent per year for 10 years: a. What amount must you deposit at the end of each year through age 65 at a rate of 8 percent compounded annually to fund your retirement account? b. How would your answer change if the rate is 9 percent? ¢. After you have paid your last installment on your 65th birthday, you learn that medical advances have shifted actuarial tables so that you are now expected to live to age 85. Determine the base-year annuity payment supportable under the 4 percent growth plan with a 9 percent interest rate.
You plan to open a retirement account. Your employer will match 50% of your deposits up to a limit on the match of $2,500 per year. You believe the fund will earn 12% over the next 30 years, and you will make 30 deposits of $5,000, plus 50% employer matching, totaling $7,500 per year.
You estimate you need to supplement your social security payments with monthly withdrawals of $1,400.00 per month from a private investment account during the first 23 years of your retirement.   Assuming you can earn annual returns of 5.2% in your investment account during your retirement years, how much money do you need to have accumulated in your investment account by the day you retire in order to fund the aforementioned monthly withdrawals?
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