Question

In: Finance

Bond Dave has a 7 percent coupon rate, makes semiannual payments, a 7 percent YTM, and...

Bond Dave has a 7 percent coupon rate, makes semiannual payments, a 7 percent YTM, and 26 years to maturity. If interest rates suddenly rise by 5 percent, what is the percentage change in the price of Bond Dave? 4 decimals (e.g. 0.0123).

Solutions

Expert Solution

Bond price is the present value of cash flow from bond.
Existing Price of bond = =-pv(rate,nper,pmt,fv) Where,
= $       1,000.00 rate 7.00% / 2 = 0.035
nper 26 * 2 = 52
pmt $       1,000.00 * 7.00% * 6/12 = $             35.00
fv = $       1,000.00
Revisedg Price of bond = =-pv(rate,nper,pmt,fv) Where,
= $           603.47 rate 12.00% / 2 = 0.06
nper 26 * 2 = 52
pmt $       1,000.00 * 7.00% * 6/12 = $             35.00
fv = $       1,000.00
% change in the price of bond = (b-a)/a Where,
=             -0.3965 a $ 1,000.00
b $     603.47

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