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European call option price and european put option price

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Reference no: EM131891132

Problem 1:

The following information is given about options on the stock of a certain company:

S0 = $20, X =$20, r =5% (c.c.), T = 0.5 year, s = 0.20

No dividends are expected. One option contract is for 100 shares of the stock. All notations are used in the same way as in the Black-Scholes-Merton Model.

Answer the following questions:

1. What is the European call option price and European put option price, according to the Black-Scholes model?

2. What is the cost of buying a protective put?

3. What is the cost of writing a covered call?

4. What will be the payoff and profit of the protective put if the stock price on maturity is $16, $18, $20, $22, or $24?

Reference no: EM131891132

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