Li is amazed that he will be able to accumulate over $600,000. However, he knows that inflation will increase his cost of living significantly in 30 years. He assumes 3% inflation and wants to find the income he needs at age 67 to have the same purchasing power as $40,000 today. (Hint: Look at inflation in Section 10.2 and use the compound interest table in Section 10.1.

Li is amazed that he will be able to accumulate over $600,000. However, he knows that inflation will increase his cost of living significantly in 30 years. He assumes 3% inflation and wants to find the income he needs at age 67 to have the same purchasing power as $40,000 today. (Hint: Look at inflation in Section 10.2 and use the compound interest table in Section 10.1.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section5.A: Continous Compounding And Discounting

Problem 1P

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1. Assume that your father is now 50 years old, that he plans to retire in 10 years, and that he expects to live for 25 years after he retires-that is, until age 85. He wants his first retirement payment to have the same purchasing power at the time he retires as GH¢ 40,000 has today. He wants all of his subsequent retirement payments to be equal to his first retirement payment. (Do not let the retirement payments grow with inflation: Your father realizes that the real value of his retirement income will decline year by year after he retires.) His retirement income will begin the day he retires, 10 years from today, and he will then receive 24 additional annual payments. Inflation is expected to be 5% per year from today forward. He currently has GH¢ 100,000 saved up; and he expects to earn a return on his savings of 8% per year with annual compounding. To the nearest dollar, how much must he save during each of the next 10 years (with equal deposits being made at the end of each year,…
In our prior example, you need to have about $4,000,000 in savings at the age of 60 to fund retirement withdrawals that start at $250,000 on your 61st birthday, grow at 3% (the assumed inflation rate), and last for 35 years (i.e., from 61 to 95). You are currently 30 years old and have received an inheritance from your rich aunt. You have no savings. As in the prior example, assume that you will earn 8% per year on your investments. How large does the inheritance need to be to completely fund your retirement plan, which requires savings of $4,000,000 on your 60th birthday? $400,000 $500,000 $700,000 $600,000 $800,000
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