The current price of a stock is $$21.$ In $1$ year, the price will be either $$29$ or $$14.$ The annual risk$-$free rate is $5\%.$ Find the price of a call option on the stock that has a strike price of $$23$ and that expires in $1$ year. $($Hint: Use daily compounding.$)$ Assume a $365-$day year. Do not round intermediate calculations. Round your answer to the nearest cent.