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IBM is trading at $72 per share today. Under a one-step binomial setting, its price can either go up to $100 in a good economy

IBM is trading at $72 per share today. Under a one-step binomial setting, its price can either go up to $100 in a good economy or go down to $60 per share in a bad economy next year. For simplicity, let's assume the interest rate on T-Bill is zero and the stock does not pay dividend.

Question 13 (1 point)

What is the risk neutral probability for the stock to go down to $60?

Question 13 options:

0.2

0.3

0.5

0.7

Question 14 (1 point)

(*) A digital option is an option that always pays off $1 if the option expires in the money, and $0 otherwise. For example, in this question a digital call option with a strike price of $80 will pay only $1 rather than $20 when stock price goes to $100, and $0 otherwise. What should be the price for this digital call option today?

Question 14 options:

$0

$0.3

$0.7

$1

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