You buy a share of stock, write a one-year call option with X = $12, and buy a one-year put option with X = $12. Your net outlay to establish the entire portfolio is $11.50. What must be the risk-free interest rate? The stock pays no dividends.

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Question:

You buy a share of stock, write a one-year call option with X = $12, and buy a one-year put option with X = $12. Your net outlay to establish the entire portfolio is $11.50. What must be the risk-free interest rate? The stock pays no dividends.

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Answer:4.35%Explanation:You buy a share of stock, write a one-year call option with X = $12, and buy a one-year put option with X = $12. Your net outlay to establish the entire portfolio is $11.50. What must be the risk-free interest rate? The stock pays no dividends.Given the following :1 - year call option with X = $121- year put option with X = $12Net outlay to establish portfio = $11.50No dividendRisk-free interest rate :(X / net outlay) - 1(12 / 11.50) - 11.0434782 - 1= 0.0434782Expressing as a percentage :0.0434782 * 100= 4.347%=4.35%

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