A stock trades for $$$ $44$ per share. A call option on that stock has a strike price of $$$$53$ and an expiration date months in the future. When the volatility of the$$ stock's returns is$30\%,$ the Black and Scholes value of the option is$$ $$3\mathrm{.}82.$ Now$$ assume, the volatility of the$$ stock's returns is $56\%,$ and the$$ risk$-$free rate is $4\%.$ Intuitively, would you expect this to cause the call price to rise or$$ fall? By how much does the call price$$ change?

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

$$

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