You have accumulated $8,000 toward the down payment on a piece of lake front property in rural Minnesota. Youwish to accumulate a total of $12,000 (i.e. an additional $4,000) for the down payment in four years. If you choosenot to contribute more new funds to your down payment fund, what rate of return must your fund earn to reachyour objective in the specified time? Assume that your investment fund compounds annually.Select one:a. 10.67% per yearO b. 50.00% per year12.50% per yearO d. There is not enough information to answer this question.C.

Today value=$8000Future value=$12000Period=4 yearsFind out interest rate.

Answered: You have accumulated $8,000 toward the…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 40P

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Comprehensive The following are three independent situations: 1. K. Herrmann has decided to set up a scholarship fund for students. She is willing to deposit 5,000 in a trust fund at the end of each year for 10 years. She wants the trust fund to then pay annual scholarships at the end of each year for 30 years. 2. Charles Jordy is planning to save for his retirement. He has decided that he can save 3,000 at the end of each year for the next 10 years, 5,000 at the end of each year for Years 11 through 20, and 10,000 at the end of each year for Years 21 through 30. 3. Patricia Karpas has 200,000 in savings on the day she retires. She intends to spend 2,000 per month traveling around the world for the next 2 years, during which time her savings will earn 18%, compounded monthly. For the next 5 years, she intends to spend 6,000 every 6 months, during which time her savings will earn 12%, compounded semiannually. For the rest of her life expectancy of 15 years, she wants an annuity to cover her living costs. During this period, her savings will earn 10% compounded annually. Assume that all payments occur at the end of each period. Required: 1. In Situation 1, how much will the annual scholarships be if the fund can earn 6%? How much at 10%? 2. In Situation 2, (a) How much will Charles have at the end of 30 years if his savings can earn 10%? How much at 6%? (b) If Charles expects to live for 20 years in retirement, how much can he withdraw from his savings at the end of each year if his savings earn 10%? How much at 6%? (c) How much would Charles need to invest today to have the same amount available at the time he retires as calculated in Situation 2(a) at 10%? How much at 6%? 3. In Situation 3, how much will Patricias annuity be?
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MetaYou have accumulated $8,000 toward the down payment on a piece of lake front property in rural Minnesota. You wish to accumulate a total of $12,000 (i.e. an additional $4,000) for the down payment in four years. If you choose not to contribute more new funds to your down payment fund, what rate of return must your fund earn to reach your objective in the specified time? Assume that your investment fund compounds annually. Question 7Select one: a . 10.67% per year b. 50.00% per year c. 12.50% per year d. There is not enough information to answer this question.
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