1 use the black-scholes formula to price both a put and a, Ask an Expert

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1. Use the Black-Scholes formula to price both a put and a call option with strike K = 45 expiring in six months on an underlying asset with spot price 50 and volatility 20% paying dividends continuously at 2%, if interest rates are constant at 6%.

2. Consider 3 month options with strike prices of K = 45. The variance of the underlying asset is 2 = 0.20. The risk free interest rate is r = 6%. The spot price of the underlying asset is S = 30. Also, q=0. (a) Determine the Black Scholes prices for call and put options. (b) Check that your calculations satisfy put call parity.

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