Question

In: Finance

(a)         Consider a 14-year, 9.5% corporate bond with face value $10,000. Assume that the bond pays...

(a)         Consider a 14-year, 9.5% corporate bond with face value $10,000. Assume that the bond pays semi-annual coupons. Compute the fair value of the bond today if the nominal yield-to-maturity is 11% compounded semi-annually.

(b)         Consider a 11-year, corporate bond with face value $1,000 that pays semi-annual coupon. With the nominal yield-to-maturity equal to 10%, the bond is selling at $802.5550. Find the coupon rate for this bond. Assume that the market is in equilibrium so that the fair value of the bond is equal to the market price of the bond.

(c)          Consider a 4-year, 5% annual coupon bond with a face value of $10,000, which was issued three years ago. The bond just paid the coupon. Therefore, this bond has one year to maturity, and the next payment of the face and coupon will be made in exactly one year, after which the bond will cease to exist. If the bond defaults before next year, it will pay total of $8,000 in one year. The effective 1-year risk-free rate is 3.55%. If the bond is currently selling at $9,501.50, compute the risk-neutral probability that the bond will default within one year.

Solutions

Expert Solution

a)

b)


Related Solutions

Consider a 11-year, corporate bond with face value $1,000 that pays semi-annual coupon. With the nominal...
Consider a 11-year, corporate bond with face value $1,000 that pays semi-annual coupon. With the nominal yield-to-maturity equal to 10%, the bond is selling at $802.5550. Find the coupon rate for this bond. Assume that the market is in equilibrium so that the fair value of the bond is equal to the market price of the bond.
7. Pat pays $10,000 for a newly issued two-year government bond with a $10,000 face value...
7. Pat pays $10,000 for a newly issued two-year government bond with a $10,000 face value and a 6 percent coupon rate. One year later, after receiving the first coupon payment, Pat sells the bond. If the current one-year interest rate on government bonds is 5 percent, then the price Pat receives is: A. $10,000. B. $500. C. greater than $10,000. D. less than $10,000. 8. Sydney purchases a newly-issued, two-year government bond with a principal amount of $10,000 and...
Consider a 10-year bond with a face value of $100 that pays an annual coupon of...
Consider a 10-year bond with a face value of $100 that pays an annual coupon of 8%. Assume spot rates are flat at 5%. a.Find the bond’s price and modified duration. b.Suppose that its yields increase by 10bps. Calculate the change in the bond’s price using your bond pricing formula and then using the duration approximation. How big is the difference? c.Suppose now that its yields increase by 200bps. Repeat your calculations for part b.
Consider a 2-year Treasury bond with a face value of $100 and that pays coupons at...
Consider a 2-year Treasury bond with a face value of $100 and that pays coupons at a rate of 6% semiannually. What is the bonds par yield given the following Treasury zero rates? Maturity (years) Zero rates 0.5          3.0% 1.0          3.3% 1.5          3.6% 2.0          3.9% a) 3.89% b)3.99% c)4.19% d)4.39%
Consider a 30-year bond that pays semi-annual coupons of $500. The face value of the bond...
Consider a 30-year bond that pays semi-annual coupons of $500. The face value of the bond is $100, 000. If the annual yield rate is 3%, calculate the following: a) the annual coupon rate of the bond b) the price of the bond, one period before the first coupon is paid c) the price of the bond, immediately after the 15th coupon is paid d) the price of the bond, 2 months after the 30th coupon is paid *No financial...
Suppose a bond with no expiration date has a face value of $10,000 and annually pays...
Suppose a bond with no expiration date has a face value of $10,000 and annually pays $800 in fixed interest a. In the table provided below, calculate and enter either the interest rate that the bond would yield to a bond buyer at each of the bond prices listed or the bond price at each of the interest yields shown. 
Suppose a bond with no expiration date has a face value of $10,000 and annually pays...
Suppose a bond with no expiration date has a face value of $10,000 and annually pays a fixed amount of interest of $950. Compute and enter in the spaces provided in the table below either the interest rate that the bond would yield to a bond buyer at each of the bond prices listed or the bond price at each of the interest yields shown. Instructions: For bond prices, round to the nearest dollar. For interest rate, round your answer...
A corporate bond has a face value of $10,000, a coupon rate of interest of 8.25%...
A corporate bond has a face value of $10,000, a coupon rate of interest of 8.25% per annum, payable semi-annually, and six and a half years remaining to maturity. The market interest rate for bonds of similar risk and maturity is currently 9.5% per annum, what is the present value of the bond?
Consider a 4-year, 5% annual coupon bond with a face value of $10,000, which was issued...
Consider a 4-year, 5% annual coupon bond with a face value of $10,000, which was issued three years ago. The bond just paid the coupon. Therefore, this bond has one year to maturity, and the next payment of the face and coupon will be made in exactly one year, after which the bond will cease to exist. If the bond defaults before next year, it will pay total of $8,000 in one year. The effective 1-year risk-free rate is 3.55%....
Consider a 10 year bond with face value $1,000 that pays a 6.8% coupon semi-annually and...
Consider a 10 year bond with face value $1,000 that pays a 6.8% coupon semi-annually and has a yield-to-maturity of 8.4%. What is the approximate percentage change in the price of bond if interest rates in the economy are expected to decrease by 0.60% per year? Submit your answer as a percentage and round to two decimal places. (Hint: What is the expected price of the bond before and after the change in interest rates?) To answer the question: (1)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT