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
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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
2. Now, regardless of your answer to Question 1, assume that the 5-year bond selling for $800.00, the 15-year bond is selling for $865.49, and the 25-year bond is selling for $1,320.00.
A bond with an annual coupon of $70 and originally sold at par for $1,000. The current market interest rate (yield to maturity) is 8%. This bond will sell at _______. Assuming no change in market interest rates, the bond will present the holder with capital ________ as it matures.
GE has a face value of $98.40 and the coupon is 0.042%, which is equivalent to $0.00042, which is no money, rounded to the nearest hundredths. The maturity of the bond is 5 years (5/17/2021), so Billy would get $500.00 back from the GE bond issuers. Billy would make a dividend of $8 by buying the bond at a lower price than the returned money. PEP has a face value of $99.60 and the coupon percentage is 0.467%, which is 0.00467 and 0.01 rounded to the nearest hundredths. The maturity is 2 years (04/30/2018), so Billy would get $200.02 back and make a dividend of
Southlake Corporation issued $900,000 of 8% bonds on March 1, 20X1. The bonds pay interest on March 1 and September 1 and mature in 10 years. Assume the independent cases that follow.
At what price will the bonds issue? (Do not round PV factors. Round your answer to the nearest dollar amount. Omit the "$" sign in your
1.00 point A bond with a 7-year duration is worth $1,073, and its yield to maturity is 7.3%. If the yield to maturity falls to 7.21%, you would predict that the new value of the bond will be approximately _________.
What would happen to the price, current yield, and total return of each bond over time assuming constant future interest rates?
- The Bet-r-Bilt Company has a 5-year bond outstanding with a 4.30 percent coupon. Interest payments are paid semi-annually. The face amount of the bond is $1,000. This bond is currently selling for 93 percent of its face value. What is the company's pre-tax cost of debt?
The bonds have 20 years to maturity, pay interest at 9.3%, have a par value of $1,000 and are currently selling for $890.
b. Generate a graph or table showing how the bond’s present value changes for semi-annually compounded interest rates between 1% and 15%.
Through this method, we obtained theoretical yields of the 4.25% coupon bond and 10.625% coupon bond to be 2.899% and 2.639% respectively. The corresponding theoretical prices of the bonds are $108.27 for the 4.25% coupon bond and $149.31 for the 10.625% coupon bond (see Table 1 above).
First we need to get the present value of the annuity for the 1,500 semiannual PMTs at year 14
3. A european corporation has issued bonds with a par value of Sfr 1,000 and an annual coupon of 5 percent. The last coupon on these bonds was paid four months ago, and their current clean price is 90 percent.