Question
For a non-dividend paying stock, you are given: (i) The current stock price is 18.5. (ii) In 6 months, the stock will either go up
For a non-dividend paying stock, you are given: (i) The current stock price is 18.5. (ii) In 6 months, the stock will either go up to 22.5 or down to 15. (iii) The continuously compounded risk-free interest rate is 6%. (iv) The current price of a 6-month 20-strike European call option on the stock is 1.55.
Which of the following statements is correct? Please show your work.
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(A) There is no arbitrage opportunity based on the information given.
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(B) There is an arbitrage opportunity. One can earn riskless profit of 0.24 by buying the call, selling 0.33 shares of stock and lending 4.85.
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(C) There is an arbitrage opportunity. One can earn riskless profit of 0.24 by selling the call, buying 0.33 shares of stock and borrowing 4.85.
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(D) There is an arbitrage opportunity. One can earn riskless profit of 0.12 by buying the call, selling 0.33 shares of stock and lending 10.78.
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(E) There is an arbitrage opportunity. One can earn riskless profit of 0.12 by selling the call, buying 0.33 shares of stock and borrowing 10.78.
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