# For a two-period binomial model for stock prices, you are given: (i) The length of each period

## Question:

For a two-period binomial model for stock prices, you are given:

(i) The length of each period is one year.

(ii) The current price of a nondividend-paying stock is $150.

(iii) u = 1.25, where u is one plus the percentage change in the stock price per period if the price goes up.

(iv) d = 0.80, where d is one plus the percentage change in the stock price per period if the price goes down.

(v) The continuously compounded risk-free interest rate is 6%.

Consider a chooser option (also known as an as-you-like-it option) on the stock. At the end of the first year, its holder will choose, to his/her advantage, whether it becomes a European call option or a European put option, both of which will expire at the end of the second year with a strike price of $150.

Calculate the current price of the chooser option.

## Step by Step Answer:

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