Micheal has a large student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. Micheal also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - (5,000 + 500m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?

The signing bonus value is $5,000.

In the expression provided, the value of the bonus is subtracted directly from the total debt ($36,700 - (5,000 + 500m)). Therefore, the signing bonus value is $5,000.