Question

You bought a 18-year, 7.2% semi-annual coupon bond today and the current market rate of return is 7.8%. The bond is callable in 6 years with a $1,099 call premium. What price did you pay for your bond

Answer 1

Answer:

$ 1,035.18  

Explanation:

The price of the bond can be determined using the pv excel function as below:

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

rate is the yield of 7.8%

nper is the number of coupons before the bonds are called which is 6

pmt is the annual coupon i.e face value*coupon rate=$1000*7.2%=$72

fv is the call price in six years' time which is $1099

=-pv(7.8%,6,72,1099)=$ 1,035.18