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Hugogooo · 2020年07月11日

问一道题:NO.PZ2016022702000009 [ CFA II ]

问题如下:

The one-year spot rate r(1) = 5% and the forward price for a one-year zero-coupon bond beginning in one year is 0.9346. The spot price of a two-year zero-coupon bond is closest to:

选项:

A.

0.87.

B.

0.89.

C.

0.93.

解释:

B is correct.

We can convert spot rates to spot prices and use the forward pricing model, so have P(1)=  1(1.05)1=0.9524\frac1{{(1.05)}^1}=0.9524

The forward pricing model is P(T*+T)=P(T*)F(T*,T),

so P(2)=P(1)F(1,1)= 0.9524 × 0.9346 = 0.8901

请问可以用(1+s2)²=(1+s1)(1+f 1.1)么?
1 个答案

WallE_品职答疑助手 · 2020年07月12日

可以的,只是你算完之后还要在转换计算价格呢~

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NO.PZ2016022702000009 问题如下 The one-yespot rate r(1) = 5% anthe forwarprifor a one-yezero-coupon bonbeginning in one yeis 0.9346. The spot priof a two-yezero-coupon bonis closest to: A.0.87. B.0.89. C.0.93. B is correct.We cconvert spot rates to spot prices anuse the forwarpricing mol, so have P(1)= 1(1.05)1=0.9524\frac1{{(1.05)}^1}=0.9524(1.05)11​=0.9524The forwarpricing mol is P(T*+T)=P(T*)F(T*,T), so P(2)=P(1)F(1,1)= 0.9524 × 0.9346 = 0.8901考点forwarpricing mol我们可以将即期利率转化成即期价格P(1)=1/(1.05)=0.9524。再通过forwarpricing mol,P(T*+T)=P(T*)F(T*,T),得到P(2)=P(1)×F(1,1)=0.9524×0.9346=0.8901。 老师,您好!题目所说“the forwarprifor a one-yezero-coupon bonbeginning in one yeis 0.9346”,我理解这个远期合约的价格是远期的流入现金流在第二年年末经过f1,1 和 r1两次折现后得到的0.9346,即0.9346 = (1/r1)*(1/f1,1),是这样吗?

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