It is here that the accounting degree can help the first time accountant by earning an average of average of $50,500. This is well above the average of $41,701 for all four year degrees.This number is among the top three first year salaries for college graduates.ccording to the United States Department of Labor, the median salary for accountants in 2010 was $61,690. This is a healthy amount of money and includes all of the areas those with an accounting degree work in.