A bond has a MD of 6.50 years and trades at a price of 118.08. The YTM is 3.40%. Its CX factor is 50.68. Using MD and CX, what is the new price when the YTM increases to 5.1%?
Change in Bond Price using Modified Duration and Convexity:
where,
P = Price of Bond
Y = Yield rate
Dm = Modified Durarion
Change in (delta)
Provided,
Dm = 6.50
P = 118.08
Convexity = 50.68
putting the values:
Thus, New Price of Bond:
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