Assume that your father is now 50 years old, plans to retire in 10 years, and 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 $60,000 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 if inflation occurs 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 $150,000 saved and expects to earn a return on his savings of 9% 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, beginning a year from today) to meet his retirement goal? (Note: Neither the amount he saves nor the amount he withdraws upon retirement is a growing annuity.) Do not round intermediate calculations. Round your answer to the nearest dollar.

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 34P: You want to accumulate $1 million by your retirement date, which is 25 years from now. You will make...
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Required Annuity Payments
Assume that your father is now 50 years old, plans to retire in 10 years, and 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 $60,000 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 if inflation occurs 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 $150,000 saved and expects to earn a return on
his savings of 9% 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, beginning a year from today) to meet his retirement goal? (Note: Neither the amount he saves nor the amount he withdraws
upon retirement is a growing annuity.) Do not round intermediate calculations. Round your answer to the nearest dollar.
$
Transcribed Image Text:Required Annuity Payments Assume that your father is now 50 years old, plans to retire in 10 years, and 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 $60,000 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 if inflation occurs 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 $150,000 saved and expects to earn a return on his savings of 9% 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, beginning a year from today) to meet his retirement goal? (Note: Neither the amount he saves nor the amount he withdraws upon retirement is a growing annuity.) Do not round intermediate calculations. Round your answer to the nearest dollar. $
Reaching a Financial Goal
You need to accumulate $10,000. To do so, you plan to make deposits of $1,100 per year with the first payment being made a year from today into a bank
account that pays 11.5% annual interest. Your last deposit will be less than $1,100 if less is needed to round out to $10,000. How many years will it take you to
reach your $10,000 goal? Do not round intermediate calculations. Round your answer up to the nearest whole number.
year(s)
How large will the last deposit be? Do not round intermediate calculations. Round your answer to the nearest cent.
$
Transcribed Image Text:Reaching a Financial Goal You need to accumulate $10,000. To do so, you plan to make deposits of $1,100 per year with the first payment being made a year from today into a bank account that pays 11.5% annual interest. Your last deposit will be less than $1,100 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal? Do not round intermediate calculations. Round your answer up to the nearest whole number. year(s) How large will the last deposit be? Do not round intermediate calculations. Round your answer to the nearest cent. $
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