Company A has issued a zero-coupon bond maturing in one year, the face value of which equals $100. The market price of this bond is $94.7. There is a probability that the company may default on its bond at the maturity date, and if default happens, bondholders will only get $40. The one-year risk-free rate is 4% at the moment. Now consider a derivative contract on Company A's bond. This contract pays $60 if the company defaults and nothing if the company does not. What should be the no-arbitrage price of this contract (round your answer to 1 decimal place)?

Company A has issued a zero-coupon bond maturing in one year, the face value of which equals $100. The market price of this bond is $94.7. There is a probability that the company may default on its bond at the maturity date, and if default happens, bondholders will only get $40. The one-year risk-free rate is 4% at the moment. Now consider a derivative contract on Company A's bond. This contract pays $60 if the company defaults and nothing if the company does not. What should be the no-arbitrage price of this contract (round your answer to 1 decimal place)?

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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Boeing Corporation has just issued a callable (at par) three-year, 4.9% coupon bond with semi-annual coupon payments. The bond can be called at par in two years or anytime thereafter on a coupon payment date. It has a price of $99.04. a. What is the bond's yield to maturity? b. What is its yield to call? c. What is its yield to worst? a. What is the bond's yield to maturity? The bond's yield to maturity is %. (Round to two decimal places.)
Arco Industries has a bond outstanding with 15 years to maturity, an 8.25% nominal coupon, semiannual payments, and a $1,000 par value. The bond has a 7.20% yield to maturity, but it can be called in 6 years at a price of $1,045. What is the bond's yield to call? Hint: Calculate the bond's price based on the YTM, and then use that price to find the YTC. Your answer should be between 4.08 and 10.64, rounded to 2 decimal places, with no special characters.
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
1)Your broker offers to sell for $1,157 a AAA-rated bond with a coupon rate of 7 percent and a maturity of six years. Given that the interest rate on comparable debt is 4 percent, calculate the bond's price. Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. 2)Is your broker fairly pricing the bond? 3)the bond should or should not be purchased?
Assume that you are considering the purchase of a 30-year, noncallable bond with an annual coupon rate of 9.0%. The bond has a face value of $1,000, and it makes semiannual interest payments. If you require an 9.0% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?
Assume that you are considering the purchase of a 25-year, noncallable bond with an annual coupon rate of 9.0%. The bond has a face value of $1,000, and it makes semiannual interest payments. If you require a 10.8% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?
The real risk-free rate is 3 percent. Inflation is expected to average 2 percent a year for the next 3 years, after which the inflation is expected to average 3.5 percent a year. Assume that there is no maturity risk premium. A 7-year corporate bond has a yield of 7.6 percent. Assume that the liquidity premium on the corporate bond is 0.4 percent. What is the default risk premium on the corporate bond?
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
Adidas issued a zero-coupon bond with a five-year maturity and a $100 face value. You believe there is a 20% chance that they will default, and if they do default, you expect to receive only 55 cents per dollar of what you are promised. If you require a 6% expected return on this investment: a. what will be the price of these bonds, and 2. what will be the yield to maturity on these bonds? Note: Assume annual compounding. Question content area bottom Part 1 a. The price of these bonds is $enter your response here. (Round to the nearest cent.) b. The yield to maturity on these bonds is enter your response here%. (Round to two decimal places.)
Buner Corp’s outstanding bonds, which has a face value of $1,000, have 6 years remaining to maturity. The bond’s coupon rate of interest is 8%, and interest is paid semiannually. If investors require a rate of return equal to 6% to invest in similar risk bonds, what should be the market price of Buner’s bond?
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
Suppose that your firm issued a bond with 10 years until maturity, a face value of $1000, and a coupon rate of 7% (annual payments). The yield to maturity on this bond when it was issued was 6%. For questions e-g, assume that this bond DOES NOT pay any coupon a) What was its price when it was issued? b) For this zero-coupon bond, suppose it is actually sold for $500, what should the YTM be?

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