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xxxxsdadas · 2022年01月20日

麻烦回答

NO.PZ2018123101000025

问题如下:

Smith gathers information on spot rates for on-the-run annual-coupon government securities and swap spreads, as presented in Exhibit below.

If Smith buys a government security, he would have an annualized return that is nearly risk free. Smith could show that under the no-arbitrage principle, the forward price of a one-year government bond to be issued in one year is closest to:

选项:

A.

0.9662

B.

0.9694

C.

0.9780

解释:

B is correct.

考点:考察Forward price概念

解析:由公式可求

P(T+T)=P(T)F(T,T)P(T^\ast+T)=P(T^\ast)F(T^\ast,T)

P(1)=1(1+0.0225)1P(1)=\frac1{{(1+0.0225)}^1}

P(2)=1(1+0.0270)2P(2)=\frac1{{(1+0.0270)}^2}

F(1,1)=P(2)P(1)=0.94810.9780=0.9694F(1,1)=\frac{P(2)}{P(1)}=\frac{0.9481}{0.9780}=0.9694

这道题如果我算出了forward rate,求价格时为什么不是1/(1+f)后再除以(1+2.25%)来把价格折到零时刻呢?

2 个答案
已采纳答案

pzqa015 · 2022年01月20日

嗨,努力学习的PZer你好:


为什么要折现到零时刻呢

forward price of one year government bond to be issued in one year就是1/(1+f(1,1)),它是站在现在时刻,1年以后发行的1年期债券的远期合约的价格,所以,是不需要再继续折现哈,如果价格是t=1时刻的,那么是需要折现的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

xxxxsdadas · 2022年01月28日

这种表格的出现,都默认该bond是价格等于面值的bond是么

pzqa015 · 2022年01月28日

嗨,努力学习的PZer你好:


这种表格的出现,都默认该bond是价格等于面值的bond是么


这个表格,跟债券价格没关系哈,已知spot rate,用spot rate计算forward rate。

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努力的时光都是限量版,加油!

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