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Assume Black-Scholes framework to price the 6-month option with the following features: Underlying stock price = 100, volatility = 0.3, r = 6 %, =0.02.

Assume Black-Scholes framework to price the 6-month option with the following features: Underlying stock price = 100, volatility = 0.3, r = 6 %, =0.02. The option has the following payoffs in six months

0 if S0.5 <90

10 if 90<= S0.5< 105

2*(S0.5-100) if S0.5>= 105

Calculate the value of this special option

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