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hyi725 · 2021年08月15日

请问公式在哪个知识点?

NO.PZ2016022702000007

问题如下:

A one-year zero-coupon bond yields 4.0%. The two- and three-year zero-coupon bonds yield 5.0% and 6.0% respectively.

The five-year spot rate is not given above; however, the forward price for a two-year zero-coupon bond beginning in three years is known to be 0.8479. The price today of a five-year zero-coupon bond is closest to:

选项:

A.

0.7119.

B.

0.7835.

C.

0.9524.

解释:

A is correct.

1(1.06)3=0.8396\frac1{{(1.06)}^3}=0.8396

The forward pricing model can be used to find the price of the five-year zero as

P(T*+T)=P(T*)F(T*,T), SO P(5)=P(3)F(3,2)= 0.8396 x 0.8479 = 0.7119.

考点:forward pricing model

首先将即期利率转化成即期价格P(3)= 1(1.06)3=0.8396\frac1{{(1.06)}^3}=0.8396。通过forward pricing model得到五年期零息债券的价格,即P(T*+T)=P(T*)F(T*,T),所以P(5)=P(3)×F(3,2)=0.8396×0.8479=0.7119。

P(3)=1/[(1+S3)^3]=1/(1.06)^3=0.8396

为什么要这么算?


具体在哪个视频里有讲解?

1 个答案

WallE_品职答疑助手 · 2021年08月17日

嗨,从没放弃的小努力你好:


基础班讲义18页 forward pricing model


通过spot rate和forward rate之间的关系可以得知:[(1+S3)^3]*[1+f(3,2)]^2=(1+S5)^5,然后我们等号两边取倒数,就得到P(3)*F(3,2)=P(5)。其中题目中给出已知条件是F(3,2)=0.8479,P(3)=1/[(1+S3)^3]=1/(1.06)^3=0.8396。所以就能求得P(5)=0.7119


您也你可以去听一下课件。

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