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1.Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per

1.Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. (10 points)

N(0.3225)=

0.626469

N(0.1782)=

0.570708

N(-0.3225)=

0.373531

N(-0.1782)=

0.429292

N(0.4225)=

0.663676

N(0.2782)=

0.609562

N(-0.4225)=

0.336324

N(-0.2782)=

0.390438

N(0.5225)=

0.699344

N(0.3782)=

0.647351

N(-0.5225)=

0.300656

N(-0.3782)=

0.352649

a.What is the price of the option if it is a European call? (4 points)

b.What is the price of the option if it is an American call? (2 points)

c.What is the price of the option if it is a European put? (2 points)

Verify that putcall parity holds. (2 points)

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