Company $x$ is going to issue $2,000$ stock option $(200,000$ shares$)$ on its common stock to the top executives today. The exercise price on the stock options is $$30$ per share. The options will expire in $15$ years. If past experience dictates that the executives will exercise their option by the $11$ th year on average and that the variance of stock returns is $\mathrm{.}15($annual$),$ calculate the value of these stock options assuming a dividend yield of $1\%$ and a risk free rate of $4\%.$ The stock is trading at $$23$ per share. Find the value of the employee stock option using the Black Scholes Model.