Question
1. A $1,000 face value bond is selling for $1,016.36. The bond pays interest semiannually and has 3.5 years to maturity. The yield to maturity
1. A $1,000 face value bond is selling for $1,016.36. The bond pays interest semiannually and has 3.5 years to maturity. The yield to maturity is 5.48 percent. The current yield is _____ percent and the coupon rate is _____ percent.
2. Will owns a bond with a make-whole call provision. The bond matures in 14 years but is being called today. The coupon rate is 9 percent with interest paid semiannually. What is the current call price if the applicable discount rate is 7.5 percent and the make-whole call provision applies?
3. A firm has outstanding common stock valued at $67 a share. The firm also has convertible bonds which have a $1,000 par value, a 7.5 percent, semi-annual coupon, and a time to maturity of 11 years. The bonds have a conversion ratio of 15. Comparable, non-convertible bonds have a yield to maturity of 8.2 percent. What is the intrinsic value of this bond?
4. A convertible bond has a 7 percent, semi-annual coupon and a conversion ratio of 20. The bond has a face value of $1,000 and matures in 13.5 years. The current yield to maturity is 7.1 percent. Assume that you buy this bond today and sell it one year from now when the yield to maturity is 7.25 percent and the stock price is $52. What will your holding period return be?
5. Ted owns a bond which is callable in 2.5 years. The bond has a 6 percent coupon, pays interest semiannually, has a par value of $1,000, and has a yield to call of 6.3 percent. What is the call premium if the bond currently sells for $1,044.54?
6. A bond has a face value of $1,000 and a call price of $1,030. The bond is callable in 3.5 years and pays a 5 percent, semi-annual coupon. What is the current price if the yield to call is 6 percent?
7. You want to buy a bond that has a quoted price of $923. The bond pays interest semiannually on April 1 and October 1. The coupon rate is 6 percent. What is the clean price of this bond if today's date is June 1? Assume a 360-day year.
8. A bond has a conversion ratio of 20 and a market price of $1,080. If the par value is $1,000, what is the conversion price?
9. A bond has a par value of $1,000 and a market price of $1,087.20. The conversion price is $40 and the stock price is $41.75. What is the conversion value?
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