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For a 1-year European exchange option, you are given: (i) Stock I has price So = 50. (ii) Stock II has price Qo = 60.

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For a 1-year European exchange option, you are given: (i) Stock I has price So = 50. (ii) Stock II has price Qo = 60. (iii) The option allows acquiring Stock II by paying 1.251, where S1 is the price of Stock I at expiry. (iv) Stock I pays dividends at a continuous annual rate of 0.02. (v) Stock II pays dividends at a continuous annual rate of 0.05. (vi) Stock I has annual volatility 0.4. (vii) Stock II has annual volatility 0.2. (viii) The correlation between the 2 stocks is 0.8. (ix) The continuously compounded risk-free interest rate is 0.04. Determine the Black-Scholes premium for the option. For a 1-year European exchange option, you are given: (i) Stock I has price So = 50. (ii) Stock II has price Qo = 60. (iii) The option allows acquiring Stock II by paying 1.251, where S1 is the price of Stock I at expiry. (iv) Stock I pays dividends at a continuous annual rate of 0.02. (v) Stock II pays dividends at a continuous annual rate of 0.05. (vi) Stock I has annual volatility 0.4. (vii) Stock II has annual volatility 0.2. (viii) The correlation between the 2 stocks is 0.8. (ix) The continuously compounded risk-free interest rate is 0.04. Determine the Black-Scholes premium for the option

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