Final answer:
The company does not recognize any compensation expense in year 1 as none of the options have vested at that point.
Step-by-step explanation:
According to the question, the company grants 5,000 nonqualified stock options to an employee with a strike price of $3 per option and a fair value of $8 per option. These options vest at the end of five years from the grant date. The company needs to recognize the stock compensation cost annually over the vesting period, i.e., five years in this case.
To calculate the annual stock compensation cost for year 1, we need to determine the portion of options that have vested at the end of year 1. Since none of the options have vested at this point, the compensation expense for year 1 is $0.
Therefore, the correct answer is A. $0.