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Pybus, Inc

Finance

Pybus, Inc. is considering issuing bonds that will mature in 25 years with an annual coupon rate of 7 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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We can calculate the price of bond if they receive A rating by using the following formula in excel:-

=-pv(rate,nper,pmt,fv)

Here,

PV = Price of bond

Rate = 10%/2 = 5% (semiannual)

Nper = 25*2 = 50 periods (semiannual)

Pmt = Coupon payment = $1,000*7%/2 = $35

FV = $1,000

Substituting the values in formula:

= -pv(5%,50,35,1000)

= $726.16

 

We can calculate the price of bond if they receive AA rating by using the following formula in excel:-

=-pv(rate,nper,pmt,fv)

Here,

PV = Price of bond

Rate = 9%/2 = 4.5% (semiannual)

Nper = 25*2 = 50 periods (semiannual)

Pmt = Coupon payment = $1,000*7%/2 = $35

FV = $1,000

Substituting the values in formula:

= -pv(4.5%,50,35,1000)

= $802.38