You are willing to pay $31,250 now to purchase a perpetuity that will pay you and your heirs $2,500 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 40-year, annual payment, ordinary annuity instead of perpetuity?

You are willing to pay $31,250 now to purchase a perpetuity that will pay you and your heirs $2,500 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 40-year, annual payment, ordinary annuity instead of perpetuity?

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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Today is January 1, 2022. Roy will use a single premium to purchase an annuity today. This annuity pays $10,000 at the end of each year while Roy is alive. The estimated probability of Roy surviving for the next 4 years is stated in following table. The yield rate is assumed to be j₁ = 4.5% p.a. Calculate the premium value. Round your answer to three decimal places. Year 1 2 3 4 Probability of surviving from start of year to end of year a. $17490.442 b. $19100.000 c. $14729.264 d. $17651.074 0.83 0.62 0.46 0 Today is 1 July, 2022, Georg plans to purchase a corporate bond with a coupon rate of j2 = 3.15% p.a. and a face value of $100. This corporate bond matures at par. Its maturity date is 1 January, 2025. The yield rate is assumed to be j₂ = 4.7% p.a. Assume that this corporate bond has a 9% chance of default in any six-month period during its term. Assume, also, that, if default occurs, Georg will receive no further payments at all. Calculate Georg's purchase price. Round your answer…
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.)
How much should be deposited today if a couple wants to collect $300 at the beginning of each month for the next 14 years if the interest rate is 4%? a) What type of problem is this? Select an answer Future Value -Simple Interest Future Value - Compound Interest Future Value - Continuously Compounded Future Value - Ordinary Annuity Future Value - Annuity Due Present Value - Ordinary Annuity Present Value - Annuity Due b) How much should they deposit today? (round to the nearest cent) $
Mr. Z is about to retire, and he wants to buy an annuity that will provide him with $57,000 of income per year for 20 years, with the first paying coming immediately and future payments occurring at the BEGINNING of the respective years. The interest rate on this annuity is 8.50%. How much would it cost him to buy the annuity today? Group of answer choices $539,410.19 $538,439.25 $585,260.05 $655,491.26 $561,849.65
You deposit $11,700 annually into a life insurance fund for the next 10 years, at which time you plan to retire. Instead of a lump sum, you wish to receive annuities for the next 20 years. What is the annual payment you expect to receive beginning in year 11 if you assume an interest rate of 7 percent for the whole time period? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Annuities per year over the next twenty years Help
Hank made payments of $106 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $99,810. What annual interest rate would he need to earn on an ordinary annuity for a comparable rate of return? ◻️٪؜ (Round to the nearest hundredth as needed.)
Tom was trying to determine the best way to save for his retirement. He was selecting between two plans and reasoned that they would provide him the same yield at the end of the terms. Plan A: Deposit $250 per month at 8% annual interest, compounded monthly, for 20 years. Plan B: Deposit $500 per month at 8% annual interest, compounded monthly, for 10 years. Is Tom correct? If not, which plan would provide him the larger annuity? Select the correct answer below: Yes, Tom is correct. Since he is doubling his monthly payment, he can cut the investment time by half. The same amount is deposited either way. No. Plan A will provide a larger savings since there is more time for compound interest to take effect. No. Plan B will provide a larger savings since he is depositing more each month, there is a larger principal for interest to be compounded upon. There is not enough information to determine the answer.
If you would like to retire as a millionaire and make a uniform deposit of $15,000 annually at an interest rate of 6%, For how many years you have to work?
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Bob purchases an annuity that will pay him $10,000 a year for the next 15 years starting a year from now. Assuming a 5% annual interest rate, what is the value of this annuity? Choose the closes. a) $150,000 b) $103,797 c) $124,622 d) $77,217
A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3000 . Each year after that, you will receive a payment on the anniversary of the last payment that is 7% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 9% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made?
In this question, consider that you are 60 years old and considering retirement. An insurance company offers to sell you the following Annuity in exchange for a portion of your IRA: • The Annuity commits to paying you 2,000 per month for the next 20 years, with the first payment to be made beginning one month from today. • Your price of the Annuity is $250,000 paid by you today from your IRA. The insurance company is rated AAA, but the investment is not FDIC insured like bank deposits. What is the expected annual rate of return on this investment? What is the Yield-on this investment? That is what is the annual expected rate of return? From an investment point of view, do you consider this a good investment today? Discuss why, or why not.

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