8.5 Bond price: You are interested in investing in a five-year bond that pays a 7.8 percent couponrate with interest to be received semiannually. Your required rate of return is 8.4 percent. What isthe most you would be willing to pay for this bond?8.6 Zero coupon bonds: Diane Carter is interested in buying a five-year zero coupon bond with aface value of $1,000. She understands that the market interest rate for similar investments is 9percent. Assume annual coupon payments. What is the current value of this bond?8.7 Zero coupon bonds: Ten-year zero coupon bonds issued by the U.S. Treasury have a facevalue of $1,000 and interest is compounded semiannually. If similar bonds in the market yield 10.5percent, what is the value of these bonds?

Answer 8.5 Bond price is the sum of present value of the coupon payments and the present value of…

Answered: 8.5 Bond price: You are interested in…

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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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 that is currently priced at $1100. If the face value of the bond is $1000, coupon payments are made semiannually, the bond matures in 5 years, and the YTM is 3%, what is the coupon rate? Group of answer choices 5.17% 2.58% 3.00% $25.84
Suppose that you want to construct a 2-year maturity forward loan commencing in 3 years. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $ 996.04 895.89 833.92 772.80 675.18 Required: a. Suppose that you buy today one 3-year maturity zero-coupon bond with face value $1,000. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero (specifically, what must be the total face value of those 5-year zeros)? b. What are the cash flows on this strategy in each year? c. What is the effective 2-year interest rate on the effective 3-year-ahead forward loan? d. & e. Confirm that the effective 2-year forward interest rate equals (1 + f4) ×(1 + f5)-1. You therefore can interpret the 2-year loan rate as a 2-year forward rate for the last two years. Alternatively, show that the effective 2-year forward rate equals (1 + y5) 15 + (1+y3) ³. - 1
1. A three-year bond with a $1,000 face-value and 10% coupon rate is sold for $1,000 today (Year 1). If one year later (Year 2) the market interest rate decreases by 5%, then this bond will have a market price of $ ____ (round UP to the nearest integer) next year (Year 2). 2. True or False? The current interest rate on a 10-year coupon bond with face value = $1,000 and annual coupon rate = 3.25% is2.42%. This implies the buyer of the bond will receive a $24.2 payment from the bond issuer every year before maturity while holding the bond. 3. A three-year bond with $1,000 face-value and 10% coupon rate is sold for $1,000 today (YEAR 1). If one year later (Year 2) the market interest rate increases by 5%, then this bond will have a market price of $ ________ (round UP to the nearest integer) then (Year 2).
You are considering a 10-year, Rs. 1000 par value bond. Its coupon rate is 10% and interest is paidsemiannually. If you require an effective annual interest rate of 8%, how much should you be willingto pay for the bond? Is effective annual interest rate differing from coupon rate? Explain.
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.
Consider a bond (with par value = $1,000) paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity. Required: a. Find the bond's price today and six months from now after the next coupon is paid. b. What is the total (6-month) rate of return on the bond? Complete this question by entering your answers in the tabs below. Required A Required B Find the bond's price today and six months from now after the next coupon is paid. Note: Round your answers to 2 decimal places. Current price Price after six months $ $ 1,052.42 1,044.52

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8.5 Bond price: You are interested in investing in a five-year bond that pays a 7.8 percent coupon rate with interest to be received semiannually. Your required rate of return is 8.4 percent. What is the most you would be willing to pay for this bond?