Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires until he is 85. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today. (The real value of his retirement income will decline annually after he retires.) His retirement income will begin the day he retires, 10 years from today, at which time he will receive 24 additional annual payments. Annual inflation is expected to be 6%. He currently has $55,000 saved, and he expects to earn 10% annually on his savings.

Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires until he is 85. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today. (The real value of his retirement income will decline annually after he retires.) His retirement income will begin the day he retires, 10 years from today, at which time he will receive 24 additional annual payments. Annual inflation is expected to be 6%. He currently has $55,000 saved, and he expects to earn 10% annually on his savings.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 19P

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Concept explainers

Retirement Income

Retirement income is the income received by the retiring person after retirement. Income can either be paid every month or paid annually. The retiree would get a guaranteed income until their death. Retirement income payment differs from person to person based on their investment type and payment method. Some are paid on a lump-sum basis and some are paid in a regular series with fixed payment or variable cash flow. Retirement income can be created from retirement savings, investment, salary, bonus, and wages from employment. Every working individual should plan their retirement income according to their income goals for the future. The plan should be made by identifying suitable income sources, estimating future expenses, applying a savings plan, and managing risk and assets. The most common age for retirement is between 60-65 years.

Question

Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires until he is 85. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today. (The real value of his retirement income will decline annually after he retires.) His retirement income will begin the day he retires, 10 years from today, at which time he will receive 24 additional annual payments. Annual inflation is expected to be 6%. He currently has $55,000 saved, and he expects to earn 10% annually on his savings.

Definition Definition Value of one unit of currency in terms of goods and services. Purchasing power refers to the ability of money to purchase goods and services at a particular point of time. As price levels in the economy increase, the purchasing power of one unit of currency decreases and vice versa.

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Step 3: Calculate the future value to be saved as follows:

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Step 4: Calculate the required additional future value as follows:

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Step 5: Calculate the annual savings for each of next 10 years as follows:

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