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Cooljas · 2024年04月29日

可以解释一下B和D为啥是错的吗?还有为啥interest rate下降,债券价格会上涨?

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问题如下:

An analyst at an investment company is researching the characteristics of American-style options. The analyst focuses on the ability and motivations of American-style option holders to exercise the option prior to maturity. Which of the following statements is correct regarding the early exercise of American-style stock options?

选项:

A.

Exercising an American-style call option early allows the holder to capture the time value of the option as well as its intrinsic value.

B.

An American-style put option on stocks that pay no dividends should never be exercised early, since the option holder would give up the opportunity to profit from a drop in the stock price.

C.

An increase in dividends makes it more attractive for the holder of an American-style call option to exercise the option early.

D.

A decline in interest rates makes it more attractive for the holder of an American-style put option on a stock paying dividends to exercise the option early.

解释:

C is correct. Dividends make calls more likely to be exercised early and make puts less likely to be exercised early.

A is incorrect. Exercising an American-style call option early gives up the time value of the option, while selling the option would capture the time value of the option.

B is incorrect. American put options are sometimes exercised before maturity even when there are no dividends. For example, if the option holder also owns the underlying stock, there are situations when it is beneficial to exercise the option early. Another example is if the option is very deeply out-of-the-money and the investor believes that it is likely to become less out-of-the-money, it makes sense to exercise.

D is incorrect. A decline in interest rates makes it less attractive for the holder of an American-style put option to exercise the option early.

可以解释一下B和D为啥是错的吗?

1 个答案

pzqa39 · 2024年04月30日

嗨,从没放弃的小努力你好:


B选项错误的原因在于,即使对于不支付股息的股票,美式看跌期权有时也可能会提前行使。比如期权深度虚值且投资者认为股价将会回升,提前行使期权在这种情况下可能是有益的。因此,持有者不一定会放弃因股价下跌而获利的机会,而是可能会基于其他考量提前行使期权。


D选项的错误在于,降低利率通常使持有支付股息的股票的美式看跌期权的提前行使变得不那么有吸引力,而非更有吸引力。利率下降意味着持有现金的机会成本降低,因此期权持有者可能更倾向于保持期权到期,而不是提前行使,从而放弃期权的时间价值。


利率下降、债券价格上升是基本概念呀,因为债券的价格是未来现金流折现求和,利率上升的时候相当于分母的折现率上升,那么债券的价格就会下降。

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