Problem 1 Trader X has purchased one unit of a European call option and one...

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Problem 1 Trader X has purchased one unit of a European call option and one unit of a European put option on the same underlying stock (non-dividend-paying) with the same strike price K = $60 and the same option maturity T = 5 months. This type of option combination is called as straddle. Assume that the current stock price is So = $60, the volatility of the stock price is o = 20% per annum and the risk-free interest rate is r = 10% per annum (continuously compounded). (a) Compute the option premiums of these two European options using the Black-Scholes option pricing formulas. (b) Draw the profit curve of this straddle strategy as a function of the stock price at maturity. Hint: Note that the profit from an option is its payoff minus its premium. (c) What kind of view do you think trader X has on the future movement of the stock price

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