Suppose you have three goals in your financial planning for saving money.First, you would like to be able to retire 25 years from now with a retirement income of $10,000 (today's dollar) per month for 20 years. Second, you would like to purchase a vacation home in Sedona in 10 years at an estimated cost of $500,000 (today's dollars). Third, assuming that you will live until your life expectancy, say 20 years after your retirement, you would like to leave a cash contribution to your college in the amount of $1,000,000 (actual dollars). You can afford to save $2,000 (actual dollars) per month for the next 10 years. Assume that the general inflation rate is 4% and the property value in Sedona increases at an annual rate of 5%. Your first retirement withdrawal will be made 25 years and 1 month from now. Before retirement, you would be able to invest your money at an annual rate of 10%. But after retirement, you will invest your assets in more conservative financial assets at an annual rate of 6%. What is the required savings in each month in years 11 through 25?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 35P
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Suppose you have three goals in your financial planning for saving money.
First, you would like to be able to retire 25 years from now with a retirement income of $10,000 (today's dollar) per month for 20 years. Second, you would like to purchase a vacation home in Sedona in 10 years at an estimated cost of $500,000 (today's dollars). Third, assuming that you will live until your life expectancy, say 20 years after your retirement, you would like to leave a cash contribution to your college in the amount of $1,000,000 (actual dollars). You can afford to save $2,000 (actual dollars) per month for the next 10 years. Assume that the general inflation rate is 4% and the property value in Sedona increases at an annual rate of 5%. Your first retirement withdrawal will be made 25 years and 1 month from now. Before retirement, you would be able to invest your money at an annual rate of 10%. But after retirement, you will invest your assets in more conservative financial assets at an annual rate of 6%. What is the required savings in each month in years 11 through 25?

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