In: Finance
Bond A pays 8.8 % coupons and is priced at par value. It has 2 years to maturity. If interest rates suddenly rise by 1.4%, what is the percentage change in price of Bond A? What is the now the price of Bond A?
New Price of Bond is $ 975.77 with the percentage change in the price of bond by -2.42%
A bond has face value of $ 1,000. When bonds are priced at par then it means that price of bond is equal to its face value. | ||||||||||||
So, current price of bond is $1,000. | ||||||||||||
Further, when bonds are price at par, Yield to maturity(YTM) and coupon rate is also same. | ||||||||||||
YTM rate is used to discount cash flows from bond. | ||||||||||||
# 1 | Changed price of bond | = | =-pv(rate,nper,pmt,fv) | Where, | ||||||||
= | $ 975.77 | rate | = | Discount rate | = | 10.20% | ||||||
nper | = | Time | = | 2 | ||||||||
pmt | = | Coupon Payment | = | $ 88 | ||||||||
fv | = | Maturity value | = | $ 1,000 | ||||||||
# 2 | Percentage change in price of bond | = | (b-a)/a | Where, | ||||||||
= | -2.42% | a | = | Existing price | = | $ 1,000 | ||||||
b | = | Changed rice | = | $ 975.77 |