7. Consider a 20 year 7.20% annual couponbond whose duration is approx. 11 yearswhen required rate of return (yield tomaturity) is 7.50%. Prove that this bond isimmunized if you hold it for 11 years.8. Consider a 10 year 6.50% annual couponbond whose duration is 7.50 years whenrequired rate of return (yield to maturity)is 6.50%. Prove that this bond isimmunized if you hold it for 7.50 years.

Since you have asked multiple question, we will solve the first question for you. If you want any…

7. Consider a 20 year 7.20% annual coupon bond whose duration is approx. 11 years when required rate of return (yield to maturity) is 7.50%. Prove that this bond is immunized if you hold it for 11 years.

7. Consider a 20 year 7.20% annual coupon bond whose duration is approx. 11 years when required rate of return (yield to maturity) is 7.50%. Prove that this bond is immunized if you hold it for 11 years.

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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Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
Bond X has 20 years to maturity, a 8% annual coupon, and a R 1,000 face value. The required rate of return is 12%. Suppose you want to buy the bond and you plan to hold the bond for 6 years. You expect that in 6 years, the yield to maturity on a 15-year bond with similar risk will be priced to yield 8.5%. How much would you like to pay for the bond today?
2. See the following and check the relevant PPT Examples if needed. Show your steps. A $1,000 par value bond with 12 years to maturity pays a coupon rate of 6%, annually. The bond's yield to maturity is 6.7% per year. You expect the bond's yield to maturity in three years will be 5.9% per year and you can reinvest the bond's coupon payments over the next three years in short- term securities that p pay 4% per year. What is the expected annual return over the next three years? C 5 M
Bond X has 20 years to maturity, a 8% annual coupon, and a R 1,000 face value. The required rate of return is 12%. Suppose you want to buy the bond and you plan to hold the bond for 6 years. You expect that in 6 years, the yield to maturity on a 15-year bond with similar risk will be pricedto yield 8.5%. How much would you like to pay for the bond today?
Consider a coupon bond with a 5% coupon rate. It will mature in 2 years and its yield to maturity is 10%. If its yield to maturity increases to 12% over the course of the next year, what is the return on the bond assuming ít will be held for 1 year?
A $1,000 bond has a coupon of 4 percent and matures after tên years. ASsume that the bond pays interest annually. a. What would be the bond's price if comparable debt yields 6 percent? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ b. What would be the price if comparable debt yields 6 percent and the bond matures after five years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. c. Why are the prices different in a and b? The price of the bond in a is -Select- v than the price of the bond in b as the principal payment of the bond in a is -Select- v than the principal payment of the bond in b (in time). d. What are the current yields and the yields to maturity in a and b? Round your answers to two decimal places. The bond matures after ten years: CY: % YTM: % The bond matures after five years: CY: YTM:
Consider a bond paying a coupon rate of 9.5% per year quarterly when the market interest rate is 5.25% per half-year. The bond has four years until maturity. a. Find the bond’s price today and nine months from now. b. What is the total rate of return on the bond?
Consider a bond with a face value of $1,000. The coupon is paid semiannually and the market interest rate (effective annual interest rate) is 8 percent. How much would you pay for the bond if a. the coupon rate is 6 percent and the remaining time to maturity is 10 years?
5. A 5-year bond with a yield of 7% (continuously compounded) pays an 8% coupon at the end of each year. What is the bond's price? What is the bond's duration? Use the duration to calculate the effect on the bond's price of a 0.2% decrease in its yield.
Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2(10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t = 10. Present Value of 100,000: F P =- 100000 = 67,556.42 1+ 0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1+ jm 0.04 1= (1+=)" -1 - (1+ ) - 1 - 1 = m 2 | = 0.0404
A $1,000 bond has a coupon of 8 percent and matures after eight years. Assume that the bond pays interest annually. What would be the bond's price if comparable debt yields 10 percent? Use Appendix B andAppendix D to answer the question. Round your answer to the nearest dollar. $ What would be the price if comparable debt yields 10 percent and the bond matures after four years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ Why are the prices different in a and b?The price of the bond in a is -Select-lessgreaterItem 3 than the price of the bond in b as the principal payment of the bond in a is -Select-further outcloserItem 4 than the principal payment of the bond in b (in time). What are the current yields and the yields to maturity in a and b? Round your answers to two decimal places. The bond matures after eight years: CY: %YTM: % The bond matures after four years: CY: %YTM: %
Assume you have a 1 year investment horizon. A bond has 10% year coupon rate and pays the coupon once per year. The bond matures in 10 years and is priced to yield 8% this year. If you expect the yield to maturity on the bond to be 7% at the beginning of the next year, what is your holding period return, assuming you have received the coupon for this year.

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