Final answer:
Smiley Corporation should recognize $400,000 as compensation expense for the year ended December 31, 2010. Therefore, the correct option is d. $400,000.
Step-by-step explanation:
The amount of compensation expense that Smiley should recognize as a result of this plan for the year ended December 31, 2010 is $400,000.
Under the fair value method, the compensation expense is recognized over the vesting period based on the fair value of the options granted. The fair value of the options granted is determined using the Black-Scholes option pricing model, which calculates the present value of the options considering factors such as the current stock price, exercise price, expected volatility, time to expiration, and risk-free interest rate.
In this case, the total compensation expense determined by the Black-Scholes model is $800,000, which is spread over the two-year period. Therefore, for the year ended December 31, 2010, Smiley should recognize half of the total compensation expense, which is $400,000.