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You are pricing a one period call option struck at $101 using a binomial model. The underlying is currently $100, if the underlying goes up

You are pricing a one period call option struck at $101 using a binomial model. The underlying is currently $100, if the underlying goes up it will go to $110, and if it goes down it will go to $96. The risk free rate is 6%. How much is the option worth?

I know that the answer is f = 6.165, but I am not sure why.

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