Exam 12: The Black-Scholes Formula

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What is the delta on a $20 strike call? Assume S = $22.00,σ = 0.30,r = 0.05,the stock pays a 1.0% continuous dividend and the option expires in 80 days?

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Suppose the 180-day futures price on crude oil is $110.00 per barrel and the volatility is 20.0%.Assume interest rates are 3.5%.What is the price of a $120 strike call futures option that expires in 180 days?

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What is the price of a $60 strike put? Assume S = $63.75,σ = 0.20,r = 0.055,the stock pays no dividend and the option expires in 50 days?

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Suppose the spot exchange rate is $1.22 per British pound and the strike on a dollar denominated pound put is $1.20.Assume r = 0.04,rf = 0.05,σ = 0.20 and the option expires in 270 days.What is the put option price?

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