Consider a 12-year bond with a par value of $1,000 and an 10% annual coupon rate. If interest rates change from 11% to 9% the bond's price will:
a) increase by $136.53
b) decrease by $163.84
c) increaes by $163.84
d) decrease by $136.53
a) increase by $136.53
Working:
Price at 11% | =-pv(rate,nper,pmt,fv) | Where, | ||||
= $ 935.08 | rate | = | 11% | |||
nper | = | 12 | ||||
pmt | = | $ 100 | ||||
fv | = | $ 1,000 | ||||
Price at 9% | =-pv(rate,nper,pmt,fv) | Where, | ||||
= $ 1,071.61 | rate | = | 9% | |||
nper | = | 12 | ||||
pmt | = | $ 100 | ||||
fv | = | $ 1,000 | ||||
Increase in price | = | $ 1,071.61 | - | $ 935.08 | ||
= | $ 136.53 |
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