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In: Finance

Bond A pays 8.8 % coupons and is priced at par value. It has 2 years...

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?

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Expert Solution

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

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