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27 February, 05:33

A stock is currently priced at $52.50 a share. One year from now, the stock price is expected to be either $54 or $60 a share. The risk-free rate of return is 4 percent. What is the value of a 1-year call option with an exercise price of $55

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  1. 27 February, 05:48
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    Value of 1-Year option=$0.48

    Explanation:

    First, we have to calculate the present value of share being priced at $54 after one year, which shall be calculated as follow:

    Present value of share=54 (1+4%) ^-1

    =$51.92

    Now we have to calculate the number of options which will be required to exercise for one share:

    Number of options = (60-54) / (5-0) = 1.2

    Finally, we have to calculate the value of 1-year call options which shall be calculated as follow:

    Current price of share=Number of options required for one share*Value of 1-year option+Present value of share

    52.50=1.2*value of 1-Year option+51.92

    1.2*value of 1-Year option=0.58

    Value of 1-Year option=$0.48
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