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海胆君 · 2021年03月20日

可以画一下本题的时间轴吗老师

NO.PZ2020021205000031

问题如下:

A stock provides dividends of USD 0.25 per share every three months. The next two ex-dividend dates are in two months and five months. The risk-free rate is 4% per annum. At what times might a six-month American call option with a strike price of USD 50 be exercised?

选项:

解释:

The possible exercise times are immediately before the stock goes ex-dividend at the two-month point and the five-month point, as well as at the end of the option's life. The ex-dividend dates are after 0.16667 and 0.41667 years, and the end of the option's life is after 0.5 years. Because:

0.25 < 50(1 -e0.04X(0.41667  0.16667)e^{-0.04X(0.41667-\;0.16667)}]

we can use the results at the end of Section 15.7 to show that the option should never be exercised at the two-month point. Because:

0.25 > 50(1 -e0.04X(0.5  0.41667)e^{-0.04X(0.5-\;0.41667)}]

the option will sometimes be exercised immediately before the five-month point. Possible exercise times are therefore at five months and six months.

A stock provides dividends of USD 0.25 per share every three months. The next two ex-dividend dates are in two months and five months.

这句话能画一下时间轴么……我怎么没读懂

2 个答案
已采纳答案

袁园_品职助教 · 2021年03月21日

同学你好!

每三个月分一次dividend,下一次分是2个月后,再下一次是5个月后

海胆君 · 2021年03月21日

没理解……尤其第二个div,为什么不是时间跨度上8/12-5/12?即时间轴上6月到9月。答案却是6月到7月???

袁园_品职助教 · 2021年03月22日

同学你好!

此刻是0时刻,下一次分红距离现在是2个月,再下一次分红是距离现在5个月,option到期日是距离现在6个月


你说的“时间跨度上8/12-5/12”是指什么?

“答案却是6月到7月”是在哪里

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2023-03-02 14:44 1 · 回答

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2022-09-18 11:33 1 · 回答

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2022-03-24 18:58 1 · 回答