A bond has a par value of $1,000, a time to maturity of 15 years, and a coupon rate of 7.90% with interest paid annually. If the current market price is $790, what will be the approximate capital gain of this bond over the next year if its yield to maturity remains unchanged? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

$5.97

Explanation:

In order to determine the capital gain of the bond in a year's time,it is first first of all important to calculate the yield to maturity on the bond which is arrived at by applying the rate formula in excel as follows:

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

nper is the number of coupon interest the bond would pay over its entire life of 15 years which is 15

pmt is the annual interest,7.9%*$1000=$79

pv is the current market price of the bond which is $790

fv is the value of $1000

=rate(15,79,-790,1000)=10.79%

Afterwards,the price of the bond in one year' time can then be calculated:

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

The variables in the formula are as above except for nper which would reduce by 1 in a year's time

=-pv(10.79%,14,79,1000)

pv=$ 795.97  

Hence the capital gain=price now-price one year ago/price one year ago

price now is $795.97  

price one year ago was $790

Capital gain=$795.97-$790=$5.97

Capital gain %= ($795.97-$790)/$790=0.76%

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best of luck,

the divergent