REACHING A FINANCIAL GOAL Allison and Leslie, who are twins, just received $10,000 each for their 25th birthday. They both have aspirations to become millionaires. Each plans to make a $5,000 annual contribution to her “early retirement fund” on her birthday, beginning a year from today. Allison opened an account with the Safety First Bond Fund, a mutual fund that invests in high-quality bonds whose investors have earned 8% per year in the past. Leslie invested in the New Issue Bio-Tech Fund, which invests in small, newly issued bio-tech stocks and whose investors have earned an average of 13% per year in the fund’s relatively short history. a. If the two women’s funds earn the same returns in the future as in the past, how old will each be when she becomes a millionaire? b. Flow large would Allison’s annual contributions have to be for her to become a millionaire at the same age as Leslie, assuming their expected returns are realized? c. Is it rational or irrational for Allison to invest in the bond fund rather than in stocks?

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Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
Publisher: Cengage Learning
ISBN: 9781337395250
BuyFind

Fundamentals of Financial Manageme...

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

Solutions

Chapter
Section
Chapter 5, Problem 30P
Textbook Problem

REACHING A FINANCIAL GOAL Allison and Leslie, who are twins, just received $10,000 each for their 25th birthday. They both have aspirations to become millionaires. Each plans to make a $5,000 annual contribution to her “early retirement fund” on her birthday, beginning a year from today. Allison opened an account with the Safety First Bond Fund, a mutual fund that invests in high-quality bonds whose investors have earned 8% per year in the past. Leslie invested in the New Issue Bio-Tech Fund, which invests in small, newly issued bio-tech stocks and whose investors have earned an average of 13% per year in the fund’s relatively short history.

  1. a. If the two women’s funds earn the same returns in the future as in the past, how old will each be when she becomes a millionaire?
  2. b. Flow large would Allison’s annual contributions have to be for her to become a millionaire at the same age as Leslie, assuming their expected returns are realized?
  3. c. Is it rational or irrational for Allison to invest in the bond fund rather than in stocks?

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Chapter 5 Solutions

Fundamentals of Financial Management (MindTap Course List)
Ch. 5 - What is an opportunity cost? How is this concept...Ch. 5 - Explain whether the following statement is true or...Ch. 5 - If a firms earnings per share grew from 1 to 2...Ch. 5 - Would you rather have a savings account that pays...Ch. 5 - To find the present value of an uneven series of...Ch. 5 - The present value of a perpetuity is equal to the...Ch. 5 - Banks and other lenders are required to disclose a...Ch. 5 - What is a loan amortization schedule, and what are...Ch. 5 - FUTURE VALUE If you deposit 2,000 in a bank...Ch. 5 - PRESENT VALUE What is the present value of a...Ch. 5 - FINDING THE REQUIRED INTEREST RATE Your parents...Ch. 5 - TIME FOR A LUMP SUM TO DOUBLE If you deposit money...Ch. 5 - TIME TO REACH A FINANCIAL GOAL You have 33,556.25...Ch. 5 - FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE Whats the...Ch. 5 - PRESENT AND FUTURE VALUES OF A CASH FLOW STREAM An...Ch. 5 - LOAN AMORTIZATION AND EAR You want to buy a car,...Ch. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT PERIODS...Ch. 5 - PRESENT AND FUTURE VALUES FOR DIFFERENT INTEREST...Ch. 5 - GROWTH RATES Sawyear Corporations 2017 sales were...Ch. 5 - EFFECTIVE RATE OF INTEREST Find the interest rates...Ch. 5 - TIME FOR A LUMP SUM TO DOUBLE How long will it...Ch. 5 - FUTURE VALUE OF AN ANNUITY Find the future values...Ch. 5 - PRESENT VALUE OF AN ANNUITY Find the present...Ch. 5 - PRESENT VALUE OF A PERPETUITY What is the present...Ch. 5 - EFFECTIVE INTEREST RATE You borrow 230,000; the...Ch. 5 - UNEVEN CASH FLOW STREAM a. Find the present values...Ch. 5 - FUTURE VALUE OF AN ANNUITY Your client is 26 years...Ch. 5 - PV OF A CASH FLOW STREAM A rookie quarterback is...Ch. 5 - EVALUATING LUMP SUMS AND ANNUITIES Kristina just...Ch. 5 - LOAN AMORTIZATION Jan sold her house on December...Ch. 5 - FUTURE VALUE FOR VARIOUS COMPOUNDING PERIODS Find...Ch. 5 - PRESENT VALUE FOR VARIOUS DISCOUNTING PERIODS Find...Ch. 5 - FUTURE VALUE OF AN ANNUITY Kind the future values...Ch. 5 - PV AND LOAN ELIGIBILITY You have saved 4,000 for a...Ch. 5 - EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A...Ch. 5 - NOMINAL INTEREST RATE AND EXTENDING CREDIT As a...Ch. 5 - BUILDING CREDIT COST INTO PRICES Your firm sells...Ch. 5 - REACHING A FINANCIAL GOAL Allison and Leslie, who...Ch. 5 - REQUIRED LUMP SUM PAYMENT Starting next year, you...Ch. 5 - REACHING A FINANCIAL GOAL Six years from today you...Ch. 5 - FV OF UNEVEN CASH FLOW You want to buy a house...Ch. 5 - AMORTIZATION SCHEDULE a. Set up an amortization...Ch. 5 - AMORTIZATION SCHEDULE WITH A BALLOON PAYMENT You...Ch. 5 - NONANNUAL COMPOUNDING a. You plan to make five...Ch. 5 - PAYING OFF CREDIT CARDS Simon recently received a...Ch. 5 - PV AND A LAWSUIT SETTLEMENT It is now December 31,...Ch. 5 - REQUIRED ANNUITY PAYMENTS Your father is 50 years...Ch. 5 - REQUIRED ANNUITY PAYMENTS A father is now planning...Ch. 5 - TIME VALUE OF MONEY Answer the following...Ch. 5 - TIME VALUE OF MONEY ANALYSIS You have applied for...

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