(Related to Checkpoint 9.3) (Bond valuation) Pybus, Inc. is considering issuing bonds that will mature in 20 years with an annual coupon rate of 8 percent. Their par value will be $1 000, and the interest will be paid semiannually. Pybus is hoping to get a AA rating on its bonds and, if it does, the yield to maturity on similar AA bonds is 9 percent. However, Pybus is not sure whether the new bonds will receive a AA rating. If they receive an A rating, the yield to maturity on similar A bonds is 10 percent. What will be the price of these bonds if they receive either an A or a AA rating?
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Price of bond with A rating. | |||||
we have to use financial calculator to solve this problem | |||||
Put in calculator | |||||
FV | 1000 | ||||
PMT | =1000*8%/2 | 40 | |||
I | 10%/2 | 5% | |||
N | 20*2 | 40 | |||
Compute PV | ($828.41) | ||||
therefore bond price = | $828.41 | ||||
Price of bond with AA rating. | |||||
we have to use financial calculator to solve this problem | |||||
Put in calculator | |||||
FV | 1000 | ||||
PMT | =1000*8%/2 | 40 | |||
I | 9%/2 | 4.5% | |||
N | 20*2 | 40 | |||
Compute PV | ($907.99) | ||||
therefore bond price = | $907.99 |
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