How much of an impact does being in an honors program have on future employers?
In all likelihood, probably very little. What it does impact is ones understanding of the material. An honors program will help with grad school admissions more than it will help with future employment.
Agree with the above, that being in the honors program will mean very little (if anything).
You might be able to get tangential benefits from being in an honors program that could be beneficial in applying to jobs in the future, such as early or better research opportunities, ability to work closer with professors or to get to know them better, access to mentors, earlier registration times to get better classes that are more in demand, networking opportunities, etc.
Listing the honors program on your resume probably won’t do anything, but if you;re considering whether to participate in an honors program or not, then that depends entirely on what the program offers you.
Yes, there are tertiary benefits to it. If one is in the honors program, they’re likely to be spending more one on one time with their professors, which means they’re more likely to find future research opportunities with these professors and more likely to get good letters of recommendation. In that sense, it may help you with employment. As far as the ‘honors’ stamp on your transcript or degree or whatever…that part isn’t likely to make any difference.