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23 May, 03:53

A one-year call option contract on Cheesy Poofs Co. stock sells for $1,250. In one year, the stock will be worth $57 or $78 per share. The exercise price on the call option is $70. What is the current value of the stock if the risk-free rate is 2 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

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  1. 23 May, 06:49
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    Value of call option = 3.92

    Explanation:

    Stock price - Exercise price, 0

    When share price is $57,

    Payoff = Max (57 - 70, 0)

    Payoff = Max (-13, 0)

    Payoff = 0

    When share price is $78

    Payoff = Max (78 - 70, 0)

    Payoff = Max (8, 0)

    Payoff = 8

    Value of call option = (Expected payoff * Probaliltiy) / (1 + Interest for the period)

    Considering probability as 50% for each stock

    Value of call option = (0 * 0.5 + 8 * 0.5) / (1 + 0.02)

    Value of call option = 3.92
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