Final answer:
The correct amount of compensation expense for Reese to recognize in 2015, using the fair value method, is $1,800, which represents one-half of the total compensation expense over the specified two-year service period.
Step-by-step explanation:
Considering the details provided for Reese Company and Jack Buchanan, the total compensation expense determined to be $3,600 is to be recognized over the service period of two years. Since the service period begins January 1, 2015, and one year of service would be completed by end of 2015, Reese should recognize half of the expense in the first year, as the expense is spread evenly over the service period.
Therefore, the correct amount of compensation expense to recognize for the year 2015 would be:
$3,600 total compensation expense รท 2 years = $1,800 for 2015.
As a consequence of this, the correct answer to the question provided is option B, $1,800.