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yuqijeffery · 2021年03月24日

所以答案就是得到一个long bond?如何得到无风险套利

NO.PZ2018062007000085

问题如下:

Under put–call–forward parity, which of the following transactions is risk free?

选项:

A.

Short call, long put, long forward contract, long risk- free bond.

B.

Long call, short put, long forward contract, short risk- free bond.

C.

Long call, long put, short forward contract, short risk- free bond.

解释:

A is correct. Purchasing a long forward contract and a risk- free bond creates a synthetic asset. Combining a long synthetic asset, a long put, and a short call is risk free because its payoffs produce a known cash flow of the value of the exercise price.

所以答案就是得到一个long bond?如何得到无风险套利

2 个答案

丹丹_品职答疑助手 · 2021年03月25日

嗨,爱思考的PZer你好:


同学你好,这个transactions is risk free可以理解为咱们构建这些组合进行对冲,没有其他的成本。譬如假如put option某国家禁止,这种情况我们不考虑

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

丹丹_品职答疑助手 · 2021年03月24日

嗨,努力学习的PZer你好:


同学你好,

这题考察的是put-call parity的变型。

我们知道S是一个不确定的现货价格,假设持有S同时short forward contract,就可以得到一个无风险收益,理解为为一个risk-free bond,写成公式就是S + short forward contract = long risk-free bond;等价于:S = -short forward contract + long risk-free bond = long forward contract + long risk-free bond;

再把这个等式带入到P + S = C + K,得到P + long forward contract + long risk-free bond = C + K,K是无风险债券,

K = P + long forward contract + long risk-free bond - C,这样就构造了一个无风险组合,也就是A选项。

课件在154-157

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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