Amount Person X should save in next 10 years to meet his retirement goal Introduction: Annuity : It is an agreement under which person pays the lump sum payment or the number of small transactions. In return, the person gets the amount at later date or upon annuitization. The purpose of the annuity is to not break the flow of income after retirement.

Question

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 $50,000 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 3% per year from today forward. He currently has $150,000 saved and expects to earn a return on his savings of 7% 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…

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Question

Chapter 5, Problem 39P

Summary Introduction

To calculate: Amount Person X should save in next 10 years to meet his retirement goal

Introduction:

Annuity:

It is an agreement under which person pays the lump sum payment or the number of small transactions. In return, the person gets the amount at later date or upon annuitization. The purpose of the annuity is to not break the flow of income after retirement.

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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 $50,000 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 3% per year from today forward. He currently has $150,000 saved and expects to earn a return on his savings of 7% 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…

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1. Your financial planner has advised you to initiate a retirement account while you are still young. Today is your 35th birthday and you are planning to retire at age 65. Actuarial tables show that individuals in your age group have a life expectancy of about 75. If you want a $50,000 annuity beginning on your 66th birthday which will grow at a rate of 4 percent per year for 10 years: a. What amount must you deposit at the end of each year through age 65 at a rate of 8 percent compounded annually to fund your retirement account? b. How would your answer change if the rate is 9 percent? ¢. After you have paid your last installment on your 65th birthday, you learn that medical advances have shifted actuarial tables so that you are now expected to live to age 85. Determine the base-year annuity payment supportable under the 4 percent growth plan with a 9 percent interest rate.