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临江仙 · 2023年02月02日

专业词汇不懂

NO.PZ2016031201000051

问题如下:

Combining a protective put with a forward contract generates equivalent outcomes at expiration to those of a:

选项:

A.

fiduciary call.

B.

long call combined with a short asset.

C.

forward contract combined with a risk-free bond.

解释:

A is correct.

中文解析:

本题考察的是put-call-forward parity,它的推导逻辑如下:

因为 long stock+short forward 可以合成一个无风险头寸,即Long risk-free bond(注意这里的bond面值为远期合约价格,即FP)

将该等式变形可得: long stock=long forward+long risk-free bond

所以long put+long stock中的stock可以用上面的公式替代,可得:

systhetic proctive put = long put+long forward +long risk-free bond

我们发现无论期末股票价格如何变化,systhetic proctive put的payoff与fiduciary call是一样的。具体过程如下图:


这里再强调一遍,systhetic proctive put中的bond面值为FP,而fiduciary call中的bond面值为X。

protective put 是put + spot



protective put with a forward contract 

为什么就将spot转成了forward + rf

而不是put + spot + forward

1 个答案

Lucky_品职助教 · 2023年02月05日

嗨,努力学习的PZer你好:


同学可以看一下原版书下面的内容,因为spot + forward = rf position ,因此我们可以用long forward和long rf bond合成spot

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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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