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momo · 2023年12月03日

long

NO.PZ2018062007000072

问题如下:

Which of the following combinations replicates a long derivative position?

选项:

A.

A short derivative and a long asset

B.

A long asset and a short risk- free bond

C.

A short derivative and a short risk- free bond

解释:

B is correct. A long asset and a short risk- free asset (meaning to borrow at the risk- free rate) can be combined to produce a long derivative position.

A is incorrect because a short derivative and a long asset combine to produce a position equivalent to a long risk- free bond, not a long derivative.

C is incorrect because a short derivative and a short risk- free bond combine to produce a position equivalent to a short asset, not a long derivative.

中文解析:

本题考察的是合成一个long derivative头寸,如下图红线框出来的部分,选B 。


不太明白解释。。。。

1 个答案

pzqa35 · 2023年12月04日

嗨,爱思考的PZer你好:


这道题考察的是对于forward的合成。

在0时刻借入S0来买入标的资产,当到期时我们需要偿还贷款S0(1 + r)T,同时卖出标的资产可以获得ST的收益,那么总的收益情况就是ST-S0(1+r)T,而对于long forward而言,在T时刻的收益也是ST-F(T)=ST-S0(1+r)T,所以B就是复制了一个long forward的收益。

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