# II. Retirement Planning A 52-year-old client asks an accountant how to plan for his future retirement at age 62. He expects income from Social Security in the amount of \$21,600 per year and a retirement pension of \$40,500 per year from his employer. He wants to make monthly contributions to an investment plan that pays 8% compounded monthly for 10 years so that he will have a total income of \$83,700 per year for 30 years. What must the size of the monthly contributions be to accomplish this goal, if it is assumed that money will be worth 8% compounded continuously throughout the period after he is 62? To help you answer this question, complete the following. How much money S must the clients account contain when he is 62 so that it will generate this annual amount for 30 years? (Hint: S can be considered the present value over 30 years of a continuous income stream with the amount you found in Question 1 as its annual rate of flow.)

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 13, Problem 2EAGP2
Textbook Problem
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## II. Retirement PlanningA 52-year-old client asks an accountant how to plan for his future retirement at age 62. He expects income from Social Security in the amount of \$21,600 per year and a retirement pension of \$40,500 per year from his employer. He wants to make monthly contributions to an investment plan that pays 8% compounded monthly for 10 years so that he will have a total income of \$83,700 per year for 30 years. What must the size of the monthly contributions be to accomplish this goal, if it is assumed that money will be worth 8% compounded continuously throughout the period after he is 62?To help you answer this question, complete the following.How much money S must the clients account contain when he is 62 so that it will generate this annual amount for 30 years? (Hint: S can be considered the present value over 30 years of a continuous income stream with the amount you found in Question 1 as its annual rate of flow.)

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