为什么duration of a zero coupon bond等于这个bond的maturity? 的

darkqueen

看到这句话，但是自己验证不出来~~哪位高手帮我举个例子算一下~~

forwhat

duration is the first derivative to the interest of the bond pricing.

 

for the zero-coupon bond   BondValue=FaceValue*e^(-r*t)

take the first derivative as BV'(r)=-t*Facevalue*e^(-r*t)=-t*BondValue

therefore, the duration for zero-coupon bond is -t, and usually people ignore the nagetive sign before the number, then duration is t which is the maturity of the bond.

fh867

顶楼上。

Libero

久期就是未来现金流的加权平均期限，既然只有一比现金流，就不用平均，更不用加权了。

jackchou

good luck everyone

darkqueen

谢谢各位，貌似libero说的更容易明白~~forwhat同学的，没看明白，主要是我对这个起源公式一点印象也没有了，无论怎样谢谢大家。。。