Final answer:
The insurance agent's license will likely expire in 2017.
Step-by-step explanation:
To determine when the insurance agent's license will expire, we need to consider the license renewal period. In New York, insurance licenses are typically valid for two years. Since the agent obtained his license in 2014, we can add two years to this date to determine the license expiration year.
Adding two years to 2014, we get 2016. However, since licenses are renewed at the end of the expiration month, we need to add one more year to account for the full license renewal period. Therefore, the agent's license will likely expire in 2017.