A 30-year security has a price of $19,759.12. The security pays $ 1,000 at the end of each of the next 10 years, and then it pays a different fixed cash flow amount at the end of each of the following 10 years. Finally, in years 21 - 30 it pays $4,000 per year at year end. Interest rates are 8.0%. What is the annual cash flow amount between years 11 and 20?

A 30-year security has a price of $19,759.12. The security pays $ 1,000 at the end of each of the next 10 years, and then it pays a different fixed cash flow amount at the end of each of the following 10 years. Finally, in years 21 - 30 it pays $4,000 per year at year end. Interest rates are 8.0%. What is the annual cash flow amount between years 11 and 20?

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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A security pays $800 every 8 years forever. The appropriate discount rate is 2% (EAR). What is the value of the security if the first payment occurs 5 years from now?
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An investment offers $966 per year for 11 years, with the first payment occurring Zyears from now. If the required return is 9 percent, what is the value of the investment? (HINT: Remember that when you calculate the PV of the annuity, the claculator gives you the present value of the annuity 1 period before the annuity starts. So if the annuity starts in year 7, that calculator will to give you the persent value of annuity in year 6. Now you have to bring this number to period O by inputting: N=6 (1 period before the annuity starts, in your case it would be a different number depending when your annuity starts) R=9 FV=Present value of annuity you found in step 1. And you solve for PV)
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1)An asset promises to pay $60 in each of the next three years. Assume the rate of discount is 5% for each of the years. a) Calculate its price the “long” way b) Calculate its price using the annuity formula. 2) For the annuity in #1, what happens to it price if the rate of discount increase to 6%? 3) For the annuity in #2 what happens to it price if: a) its maturity is raised to four years? b) it never matures (a “perpetuity”)?
An asset promises to pay the following: ▪ $60 each year for the next ten years: and ▪ $1,000 in ten years Assume all the cash flows are discounted by 6%. Use the annuity formula to get the price of the first part. Use the standard discounting formula to get the price of the second part. Add them together. This is a bond! It is described as paying a coupon rate of 60/1,000 = 6% (a coupon of 60), with a face value of 1,000 and a maturity of ten years. And its “yield-to-maturity” is 6%.
Suppose you are going to invest $11,000 per year for six years. The appropriate interest rate is 9 percent. What is the future value if the payments are made on the last day of the year? What if the payments are made on the first day of the year? a) $82,756.68; $90,204.78 b) $90,204.78; $82,756.68 c) $49,345.10; $53,786.16 d) $53,786.16; $49,345.10

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