In: Finance
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).
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 |