Assume the Black-Scholes framework. For a 9-month 45-55 put bear spread on a stock, you are given:

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Assume the Black-Scholes framework. For a 9-month 45-55 put bear spread on a stock, you are given:

(i) The current stock price is 50.

(ii) The only dividends during this time period are 2.50 to be paid in two months and five months.

(iii)

Var[In F0.75 (S)] = 0.16t for 0

(iv) The continuously compounded risk-free interest rate is 8%. 

Calculate the current price of the bear spread.

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