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Avalon · 2024年10月14日

麻烦助教帮忙看下这题

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NO.PZ202208260100000708

问题如下:

Which of the following statements correctly describes how VFO could replicate selling a call option on Biomian if exercise is certain?

选项:

A.Borrow X(1 + r)^-T at the risk-free rate and use the proceeds to buy Biomian stock at the current spot price, S0. At expiration, sell the Biomian stock and use the proceeds to pay off the loan.

B.Sell short Biomian stock at the current spot price, S0, and use the proceeds to lend X(1 + r)^-T at the risk-free rate. At expiration, receive X as repayment of the risk-free loan and buy back the Biomian stock.

C.Sell short Biomian stock at the current spot price, S0, and borrow X(1 + r)^-T at the risk-free rate. At expiration, pay off the risk-free loan of X and buy back the Biomian stock.

解释:

B is correct. To replicate selling a call option, combine shorting the underlying with risk-free lending. This is exactly the opposite strategy to replicate buying a call option in which the underlying is purchased with proceeds from risk-free borrowing. A is incorrect as this statement describes replicating buying a call option. C is incorrect as selling short and borrowing initially creates two cash inflows at t = 0 followed by two cash outflows at t = T.

题干意思是复制一个sell call吗?三个选项怎么理解?分别对应的啥?

1 个答案

李坏_品职助教 · 2024年10月14日

嗨,努力学习的PZer你好:


题目问你,如何复制sell call?根据基础班讲义P192-193:

为了复制出long call,我们需要借入(borrow)一部分现金(X*(1+r)^(-T)),并且用借来的钱买入基础资产S0。

本题问的是sell call,直接把上面的方法反过来,那也就是卖空基础资产S0(short sell stock),用得到的钱放贷给别人(lending)赚利息。所以B选项正确。



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