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senyyf · 2024年05月10日

标的物的选取

NO.PZ2023041003000030

问题如下:

Statement #3

“Using put–call parity, you can also create synthetic options on forward contracts. The data in Exhibit 1 can be used to establish the price of such a synthetic put.”

The price of the synthetic put in Statement #3 is closest to:

选项:

A.

$15.48.

B.

$16.33.

C.

$18.00.

解释:

When dealing with forward contracts, as in Burke’s Statement #3, put–call parity must be modified. Rather than shorting the stock, a forward contract is used. The current stock price, S, drops out of the formula and is replaced by the present value of the forward price. That is:


Substituting the values from Exhibit 1:


您好,根据题目标的物为远期合约,那S应该就是远期合约的价格,就是46,那为啥还要折现呢,P=C+K-S

1 个答案

李坏_品职助教 · 2024年05月10日

嗨,爱思考的PZer你好:


远期价格46指的是:现在有一份远期合约,它在到期日的时候,交割价是46.


也就是46块钱的价格对应的成交时刻是期末。我们需要把46折现到现在,也就是/(1+r)^T。


原来的put call parity,用的是P = C+X/(1+r)^T - S,这个不用折现是因为S用的就是今天现在的股票价格。如果把股票价格S替换为远期价格F,远期价格的成交时刻是期末,所以要折现到今天。

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