Arich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $4,000. Each year after that, you will receive a payment onthe anniversary of the last payment that is 3% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% peryear.a. What is today's value of the bequest?b. What is the value of the bequest immediately after the first payment is made?a. What is today's value of the bequest?Today's value of the bequest is $ (Round to the nearest doliar.)

First payment (P1) = $4000 Growth rate (g) = 3% r = 15%

Answered: Arich relative has bequeathed you a…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

A rich aunt has promised you $4,000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 3% larger than the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments. If the interest rate is 3%, what is her promise worth today? The present value is $ (Round to the nearest dollar.)
Your uncle is about to retire, and he wants to buy an annuity that will provide him with $6,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 15.25%. How much would it cost him to buy the annuity today? Round your answer to two decimal places. For example, if your answer is $345.667 round as 345.67 and if your answer is .05718 or 5.718% round as 5.72. Group of answer choices
Bill is the owner of an ordinary annuity that will pay him $12,000 at the end of each of the next three years. This annuity has an annual rate of return of 7%. Given this information, what is the present value today of this annuity?
Cheryl is setting up a payout annuity with her bank. She wants to receive a payout of $1200 per month for 20 years. A. How much will she have to deposit if she earns 8% interest compounde monthly? B. What's the total she will receive from her payout annuity?
(Present value of a growing perpetuity) As a result of winning the Gates Energy Innovation Award, you are awarded a growing perpetuity. The first payment will occur in a year and will be for $10,000. You will continue receiving monetary awards annually with each award increasing by 6 percent over the previous award, and these monetary awards will continue forever. If the appropriate interest rate is 11 percent, what is the present value of this award? The present value of the award is $ (Round to the nearest cent.)
Your grandparents would like to establish a trust fund that will pay you and your heirs $175,000 per year forever with the first payment one year from today. If the trust fund earns an annual return of 3.4 percent, how much must your grandparents deposit today?
Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%;a. What should be the present value of this annuity?b. If you are given the first payment immediately starting today, what should be the worth of this annuity?
Your godmother put $2,000 in a trust fund for you. In 10 years the fund will be worth $5,000. What is the rate of return on the trust fund?
Your uncle is about to retire, and he wants to buy an annuity that will provide him with $7,100 of income a year for 15 years, with the first payment coming immediately. The going rate on such annuities is 15.25%. How much would it cost him to buy the annuity today?Round your answer to two decimal places. For example, if your answer is $345.667 round as 345.67 and if your answer is .05718 or 5.718% round as 5.72.
Your uncle is about to retire, and he wants to buy an annuity that will provide him with $97,000 of income a year for 20 years, with the first payment coming immediately. The going rate on such annuities is 5.45%. How much would it cost him to buy the annuity today? a. $1,192,059.14 b. $1,164,011.03 c. $1,195,837.87 d. $1,261,011.03 e. $1,227,449.63
Your grandparents would ilke to establish a trust fund that will pay you and your heirs $125,000 per year forever with the first payment 10 years from today. If the trust fund earns an annual return of 2.4 percent, how much must your grandparents deposit today?
A man can sell his business for $800,000 cash or for $125,000 plus $12'I a. Find the present value of the annuity that is offered if money is worth 10%; compounded annually. b. If he takes the $800,000, spends $125,000 of it, and invests the rest in a 9-year annuity at 10%, compounded annually, what size annuity payment will he receive at the end of each year? c. Which is better, taking the $125,000 and the annuity or taking the cash settlement? a. Find the present value of the annuity that is offered if money is worth 10%, compounded annually. (Type an integer or decimal rounded to the nearest cent as needed.)

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