A stock trades for $$42$ per share. A call option on that stock has a strike price of $$52$ and an expiration date nine months in the future. The volatility of the stock's returns is $44\%,$ and the risk$-$free rate is $3\%.$ What is the Black and Scholes value of this option?

The Black and Scholes value of this call option is $

$($Round to the nearest cent.$)$