A two year coupon bond with a yield of 0.13 (continuously compounded) pays an 5.3% coupon at the end of each year. Face value is $1000. Calculate the duration of the bond.
Value of Bond =
Where r is the discounting rate of a compounding period i.e. 13%
And n is the no of Compounding periods 2 years
Coupon 5.3%
=
=
= 93.3405073275 + 771.051585801
= $ 864.392093128
Duration of Bond =
=
=
= 1670.37369752 / 864.392093128
= 1.9324
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