Quite a bit, actually. You have a lot of say in what potential accounts are declined, where premiums are set, what corporate investments are made, and how the name on your door reads.
In a sense, you are the wizard behind the green curtain. When the CEO of the company you work for wants to know the magnitude of a risk that may drastically affect business, he walks down a long, scary hallway, stands quivering outside your office as he nervously requests permission to enter, then asks you for your all-knowing, all-mighty opinion. Even if it isn't as dramatic as all that in the real world, the idea is the same. Maybe you'll even get to float away in a big, beautiful hot air balloon when all's said and done.