How much should you save at the end of each year from year 36 through 65 such that you have the amount of money, which if invested at your retirement age, will result in you receiving a sum of $50,000 each year from age 66 through 85? Assume an average interest rate of 6% throughout.
You are 35 years old and work with an institution where the retirement age is 65 years. For your retirement planning, you wish that from age 66 through 85, you should receive an annual sum of $50,000 at the end of each year. For this purpose, you will invest the required amount of money at retirement age. How much should you save at the end of each year from year 36 through 65 such that you have the amount of money, which if invested at your retirement age, will result in you receiving a sum of $50,000 each year from age 66 through 85? Assume an average interest rate of 6% throughout. Hint: Work the problem backwards. First solve the part from age 66 through 85. Then solve the part from age 36 to 65.
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