You estimate that a 1-year zero-coupon bond (face value = $1000) has a probability of default equal to 26%. In the event of default, you estimate the bond issuer will bay $563. The current risk-free rate is 5%. How much should you pay for this bond?

You estimate that a 1-year zero-coupon bond (face value = $1000) has a probability of default equal to 26%. In the event of default, you estimate the bond issuer will bay $563. The current risk-free rate is 5%. How much should you pay for this bond?

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 coupon bond of 9.2 percent with 14 years left to maturity is priced to offer a 7.10 percent yield to maturity. You believe that in one year, the yield to maturity will be 8.0 percent. (Assume interest payments are semiannual.) What would be the total return of the bond in dollars? What would be the total return of the bond in percentage?
A risk-free, zero-coupon bond with a $1000 face value has 2 years to maturity. The yield to maturity of this bond is 2%? What is the fair price to pay for this bond?
Suppose you buy a bond with 3 years to maturity. The face value is 1000 and the coupon rate is 12 %. Assume after holding the bond for one year the market interest rate falls to 8 % a. What will be the new price of your bond? b. What will be the annual rate of return on your bond? c. Discuss the interest rate risk on bonds using your results in parts (a) and (b)?
Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
Assume a 1,000 face value bond with 20 years left until maturity. If the coupon rate is 10%, paid semi-annually, and the current yield is 8.85%, what should be the yield to maturity on this bond? Show your work. Please show how to solve using a financial calculator. p/y=2 FV=1,000 n=20*2
You own a bond with an annual coupon rate of 5% maturing in two years and priced at 85%. Suppose that there is a 23% chance that at maturity the bond will default and you will receive only 45% of the promised payment. Assume a face value of $1,000.A. What is the bond’s promised yield to maturity?B. What is its expected yield (i.e., the possible yields weighted by their probabilities)
You have a risk-free bond with 2 years to maturity. The bond has a face value of $ 1000 and a coupon rate of 5%. The next coupon will be paid one year from now, and the bond pays annual coupons. a. What is the price of the bond? What is its own yield to maturity? Is it trading at a discount or at a premium? b. Suppose you buy the 2-year bond above, and you sell it after one year. What is the expected return on your investment?Kindly solve the question in 10 mins. It is urgent.
A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
The yield curve currently observed in the market is as follows: y1 = 7%, Y2 = 8%, and yz = 9%. You are trying to decide between buying a two-year bond (Bond A) and three-year bond (Bond B), each of which is default-risk free and pays annual coupons of 8% per year. You strongly believe that yield curve in one year will become flat at 9%. Which one of the two bonds should you buy today if you plan to sell this bond in exactly one year (right after you receive the first coupon payment)? Assume interest is compounded annually, and each bond has a face value of $1,000. Bond B O Neither bond -- The expected total return of both bonds will be negative if interest rates increase to 9% in one year Bond A Both bonds provide the same return over a one year investment horizon A portfolio that invests 50% of your wealth in each bond provides the highest total expected return
PICK ONE: Explain why YOU: Suppose that 6 months after you purchase the bond, the market rate for interest on this type of bond falls to 7.00%. This will cause the (coupon / market price / par value) to (fall / rise). From the issuer’s perspective, the lower interest rate means that he or she would be (worse / better) off issuing new bonds at this lower rate than continuing to pay you 9%.
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY) a. Suppose that today you buy an annual coupon bond with a coupon rate of 8 3 percent for $785 The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price % b-2. Holding period…
A bond with 5 years to maturity, a face value of $2,000 and a coupon rate of 8.0% is selling for $1750. What is its yield to maturity? If the yield changes to 8.0%, what will be the new price of the bond? (Assume annual coupon payments.)

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