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practice bond valuation problems Essay

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MBA 8135
Practice Bond Valuation Problems
SOLUTIONS

1. Calculate the current price of a $1,000 par value bond that has a coupon rate of 6% p.a., pays coupon interest annually, has 14 years remaining to maturity, and has a yield to maturity of 8 percent.
PMT = 60; FV = 1000; N = 14; I = 8; CPT PV = 835.12
2. You intend to purchase a 10-year, $1,000 par value bond that pays interest of $60 every six months. If the yield to maturity is 10% with semiannual compounding, how much should you be willing to pay for this bond?
FV = 1000; PMT = 60; N = 20; I = 10/2=; CPT PV = 1124.62
3. What is the price of a $5000 par value bond, with a coupon rate of 7.5% (coupon interest paid quarterly), 15 years remaining to maturity and a yield to …show more content…

The par value of the bond is $1,000, and the market interest rate (i.e., par value) is 9%. What is the bond’s coupon rate?
Since price = PV, YTM = coupon rate; thus, coupon rate = 9%
10. A $1000 par value bond with a coupon rate of 12.5% per year (payable semi-annually) has a remaining life of 7.5 years and a yield to maturity of 14%. Assuming the bond is fairly priced (i.e., in equilibrium), what is the bond’s current yield?
FV = 1000; PMT = 62.50; N = 15; I = 7; CPT PV = 931.69. Current yield = annual coupon/current price = 125/931.69 = 13.42%
11. Find the current yield of the bond in the problem above assuming the yield to maturity is 9%.
FV = 1000; PMT = 62.50; N = 15; I = 4.5; CPT PV = 1187.94. Current yield = annual coupon/current price = 125/11787.94 = 10.52%
12. Two years ago, you bought a fifteen year bond at its par value of $1,000. The coupon rate on this bond is 9%, payable annually. Today (just after receiving the second annual coupon payment), the current yield on the bond is 7.5%. What is the value of the bond today? If you buy the bond at today’s price, what is the yield to maturity on the bond?
Because current yield = 7.5%, we know that current price of the bond = 90/.075 = 1200.
FV = 1000; PV = -1200; N = 13; PMT = 90; CPT I/Y = YTM = 6.65%
13. Global Mills Corporation is selling a new issue of bonds to raise money. The bonds will pay a coupon rate of 10% and will mature in 6 years. The par value of

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