Reference no: EM133121347
Sarah and Ankit, who currently do not have a position in XYZ shares, expect that the price of XYZ share will increase in the next year. Consequently, Sarah buys one futures contract on 100 shares of stock XYZ, whereas Ankit buys one European call option on 100 shares of XYZ and writes (i.e., sells) one European put option on 100 shares of XYZ. Both options have the same expiration date of one year, the same exercise price of $45 (per share) and the same premium of $3 (per share). The XYZ futures contract has one-year to delivery, and the current futures price is $45. Suppose that the riskless interest rate is zero and that XYZ does not pay dividends. For simplicity, assume thatboth investors will sell the shares on the options' expiration day or futures' delivery day (That is, if Ankit exercises the call option, he will pay $4,500 for the 100 shares and immediately sell them. Likewise, if the put option is exercised by the buyer, Ankit would pay $4,500 for the 100 shares and immediately sell them. Similarly, Sarah will pay $4500, accept delivery of the shares and immediately sell them.)
a) Under what circumstances will the PUT be exercised? Under what circumstances will Ankit make a profit on the PUT? Under what circumstances will Ankit lose on the PUT?
b) Calculate the initial cash flow, the break-even stock price at expiration and the maximum profit and losses for each investor.
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