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Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250

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BuyFindarrow_forward

Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250
Textbook Problem

REQUIRED ANNUITY PAYMENTS 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 $50,000 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 4%. He currently has $90,000 saved, and he expects to earn 8% annually on his savings. How much must he save during each of the next 10 years (end-of-year deposits) to meet his retirement goal?

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.

Explanation

The required annuity payment is calculated after calculating purchasing power after 10 years at 4% inflation rate,

Given,

Current purchasing power $50,000

Interest rate 5%

Formula to calculate future value of purchasing power,

Futurevalueofpurchasingpower=Currentpurchasingpower×(1+I)N

Where,

  • I is the Interest rate
  • N is the number of years

Substitute $50,000 for current purchasing power, 4% for I and 10 for number of years,

Purchasingpowerafter10years=$50,000×(1+0

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