On June $30,2012,$ Yang Corporation granted compensatory stock options for $30,000$ shares of its $$24$ par value common stock to certain of its key employees. The market price of the common stock on that date was $$31$ per share and the option price was $$28.$ Using a fair value option pricing model, total compensation expense is determined to be $$96,000.$ The options are exercisable beginning January $1,2014,$ providing those key employees are still in the employ of the company at the time the options are exercised. The options expire on June $30,2015.$

On January $4,2014,$ when the market price of the stock was $$36$ per share, all options for the $30,000$ shares were exercised. The service period is for two years beginning January $1,2012.$ Using the fair value method, what should be the amount of compensation expense recorded by Yang Corporation for these options on December $31,2012?$

Question $11$ options:

$$96,000$

$$48,000$

$$22,500$

$$0$