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Sandy · 2021年05月02日

dividend yield计算公式是哪里讲的

NO.PZ2016082402000029

问题如下:

Jeff is an arbitrage trader, who wants to calculate the implied dividend yield on a stock while looking at the over-the-counter price of a five-year European put and call on that stock. He has the following data: S = $85, K = $90, r = 5%, c = $10, p = $15. What is the continuous implied dividend yield of that stock?

选项:

A.

2.48%

B.

4.69%

C.

5.34%

D.

7.71%

解释:

ANSWER: C

By put-call parity,   cp=SerτKerτ\;c-p=Se^{-r\ast\tau}-Ke^{-r\tau}. Therefore,Serτ=  cp+Kerτ=10Se^{-r\ast\tau}=\;c-p+Ke^{-r\tau}=1015+90e0.055=65.09-15+90e^{0.05\ast5}=65.09 . The dividend yield is then y=1Tln(65.0985)=5.337%.y=-\frac1Tln{(\frac{65.09}{85})}=5.337\%.

如题如题不记得了了了
1 个答案

品职答疑小助手雍 · 2021年05月03日

嗨,从没放弃的小努力你好:


算是贯穿了考试的常规重要点吧,你可以把dividend yield 理解成反正以后要付出股息,这些股息对现在价格的影响需要通过这种类似折现的方式折减。

或者说把S里包含的未来股息在期初剔除掉。

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