Global Trade, Inc. has $1,000 face value bonds outstanding with a market price o
ID: 2762105 • Letter: G
Question
Global Trade, Inc. has $1,000 face value bonds outstanding with a market price of $1,013. The bonds pay interest annually, mature in 11 years, and have a yield to maturity of 5.34 percent. What is the current yield?
A $1,000 face value bond currently has a yield to maturity of 6.69 percent. The bond matures in three years and pays interest annually. The coupon rate is 7 percent. What is the current price of this bond?
One year ago, you purchased a 7.5 percent annual coupon bond for a clean price of $980. The bond now has seven years remaining until maturity. Today, the yield to maturity on this bond is 6.87 percent. How does today's clean price of this bond compare to your purchase price?
Explanation / Answer
Answer:
1)
Current Yield = Next Year Inflow / Current Bond Price x100 = $55 / $1,013 x 100 = 5.43%
Calculation of Net Year Inflow (Interest)
Current Market Price of the bond = Interest x PVIFA (5.34%, 11) + Maturity Value x PVIF (5.34%, 11)
$1,013 = Interest x 8.16 + $1,000 x 0.56425
$1,013 = (Interest x 8.16) + $564.25
Interest = $55
2)
Current Price of the bond = Interest x PVIFA (6.69%, 3) + Maturity Value x PVIF (6.69%, 3)
= ($70 x 2.6393) + ($1,000 x 0.82343)
= $184.75 + $823.43
= $1,008.18
3)
One year ago the bond’s clean price = $980
Current Price of the bond = Interest x PVIFA (6.87%, 7) + Maturity Value x PVIF (6.87%, 7)
= ($70.5 x 5.4138) + ($1,000 x 0.62807)
= $381.67 + $628.07
= $1,009.74
Today’s clean price on the bond is $1,009.74
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