问一道题：NO.PZ2017092702000094

问题如下：

A stock is priced at $100.00 and follows a one-period binomial process with an up move that equals 1.05 and a down move that equals 0.97. If 1 million Bernoulli trials are conducted, and the average terminal stock price is $102.00, the probability of an up move (p) is closest to:

选项：

0.375.

0.500.

0.625.

解释：

C is correct.

The probability of an up move (p) can be found by solving the equation: (p)uS + (1 – p)dS = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so that p = 0.625.

老师好：

为什么用up的价格乘以p+down的价格乘以（1-p）就是平均价格？

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星星_品职助教 · 2020年05月06日

同学你好，

这是根据概率计算加权平均的考点应用。回忆一下，expected value或者是均值可以用加权平均的算法来计算，对应的概率就是权重。

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NO.PZ2017092702000094 问题如下 A stois price$100.00 anfollows a one-periobinomiprocess with up move thequals 1.05 ana wn move thequals 0.97. If 1 million Bernoulli trials are concte anthe average terminstopriis $102.00, the probability of up move (p) is closest to: A.0.375. B.0.500. C.0.625. C is correct.The probability of up move (p) cfounsolving the equation: (p)uS + (1 – p) = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so thp = 0.625.100到105是move up，概率为p；100到97是move wn，概率为1-p，这是一期二叉树的情况，此时这个一期二叉树的均值就是105×p+97×（1-p）。根据题干，这个均值为102105×p+97×（1-p）=102，可以直接解得p=0.625 没看答案是我用的二项分布算的，E(X) =np算呢，p= 102/1million 。。。。没答案，，，然后就不知道知识点了这咋能看出来是二叉树呢，我记得课上讲的时候咋的还有个tree的单词。。。咋理解呀老师

2022-12-18 22:27 1 · 回答

NO.PZ2017092702000094问题如下A stois price$100.00 anfollows a one-periobinomiprocess with up move thequals 1.05 ana wn move thequals 0.97. If 1 million Bernoulli trials are concte anthe average terminstopriis $102.00, the probability of up move (p) is closest to:A.0.375.B.0.500.C.0.625. C is correct.The probability of up move (p) cfounsolving the equation: (p)uS + (1 – p) = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so thp = 0.625.100到105是move up，概率为p；100到97是move wn，概率为1-p，这是一期二叉树的情况，此时这个一期二叉树的均值就是105×p+97×（1-p）。根据题干，这个均值为102105×p+97×（1-p）=102，可以直接解得p=0.625 请问为什么上涨是涨到105，下跌是跌到97？题目不是说的是up move equals 1.05吗？

2022-09-09 21:49 1 · 回答

NO.PZ2017092702000094 问题如下 A stois price$100.00 anfollows a one-periobinomiprocess with up move thequals 1.05 ana wn move thequals 0.97. If 1 million Bernoulli trials are concte anthe average terminstopriis $102.00, the probability of up move (p) is closest to: A.0.375. B.0.500. C.0.625. C is correct.The probability of up move (p) cfounsolving the equation: (p)uS + (1 – p) = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so thp = 0.625.100到105是move up，概率为p；100到97是move wn，概率为1-p，这是一期二叉树的情况，此时这个一期二叉树的均值就是105×p+97×（1-p）。根据题干，这个均值为102105×p+97×（1-p）=102，可以直接解得p=0.625 老师好，看到这道题时尝试用二项分布求概率来解答，解不出来，感觉跟二叉树有些混淆了，请问怎么区分题目是考哪个知识点？

2022-06-17 10:05 1 · 回答

NO.PZ2017092702000094问题如下A stois price$100.00 anfollows a one-periobinomiprocess with up move thequals 1.05 ana wn move thequals 0.97. If 1 million Bernoulli trials are concte anthe average terminstopriis $102.00, the probability of up move (p) is closest to: A.0.375. B.0.500. C.0.625. C is correct.The probability of up move (p) cfounsolving the equation: (p)uS + (1 – p) = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so thp = 0.625.100到105是move up，概率为p；100到97是move wn，概率为1-p，这是一期二叉树的情况，此时这个一期二叉树的均值就是105×p+97×（1-p）。根据题干，这个均值为102105×p+97×（1-p）=102，可以直接解得p=0.625 另外，1 million Bernoulli trials are concte题干里面的这句话如何理解呢，二叉树列跟伯努利试验有啥关联吗

2022-03-26 13:23 1 · 回答

NO.PZ2017092702000094 0.500. 0.625. C is correct. The probability of up move (p) cfounsolving the equation: (p)uS + (1 – p) = (p)105 + (1 – p)97 = 102. Solving for p gives 8p = 5, so thp = 0.625. 100到105是move up，概率为p；100到97是move wn，概率为1-p，这是一期二叉树的情况，此时这个一期二叉树的均值就是105×p+97×（1-p）。根据题干，这个均值为102 105×p+97×（1-p）=102，可以直接解得p=0.625 我知道要算概率，但是不知道怎样用二叉树计算，麻烦老师讲解一下

2022-03-16 09:38 1 · 回答

问一道题：NO.PZ2017092702000094

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