A stock trades for $45$$ per share. A call option on that stock has a strike price of $$$$50$ and an expiration date nine months in the future. The volatility of the$$ stock's returns is $38\%,$ and the$$ risk$-$free rate is $6\%.$ What is the Black and Scholes value of this$$ option?

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Part $1$

The Black and Scholes value of this call option is $$$

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enter your response here. $($Round to the nearest$$ cent.$)$