NO.PZ2015120604000171
问题如下:
The current price of a public company stock is $35. Here is a table shows the price of the stock and its corresponding probability in the next one year. What is the stock's expect return ?
选项:
A.The expected return is 24.85% . B.The expected return is 19.05% . C.The expected return is 22.56% .解释:
A is correct.
这道题要求“the stock's expect return。
①先求各只股票的return:return=利润/期初投入。
所以价格为45的股票的return=(45-35)/35=28.57%;价格为52的股票return=(52-35)/35=48.57%;价格为28的股票return=(28-35)/35=-20%;
②求“expected” return:求均值就是求(加权)平均。
各个价格对应的概率已经给出来了,例如价格为52的股票,对应的return就是28.57%(上一步算的),对应的概率就是50%(题干图里给的)
所以以概率为权重求出加权平均,expected return=50%×28.57%+30%×48.57%+20%×(-20%)=24.86%,忽略四舍五入导致的小数点误差,选择A选项。
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还可以先根据新的股价和对应概率求出一个expect stock price,即45*50%+52*30%+28*20%=43.7,然后再根据这个价格去算expect return,即(43.7-35)/35=24.85%,两种方法是一样的,哪种方法顺手用哪种就可以。
这里说求expected return,应该就是利润,不是利润率啊