NickC137, thank you for your analysis.
I agree with the spirit of your model for the
average Owen vs Stern student. Assuming you work for the 20 years needed for the NPV of Stern to pass that of Owen, Stern is the right choice. However, a full tuition scholarship means more than just less debt. It also indicates that OP's qualities make them somewhat
above average. Since employers look at many of the same factors for hiring that business schools look at for admission, OP will likely have above average recruiting options. Because of this, it becomes more difficult to compare employment reports - the main value of these reports becomes determining whether a preferred company recruits at both schools.
Take MBB, for example. Stern blows Owen out of the water in terms of placements. But how much of that is due to Stern itself (accepting that location is a huge bonus), and how much is due to the average GMAT at Owen being 680 and the average at Stern being 720? Many of Owen's students don't cross the 700/720 threshold needed to get in a room with an MBB recruiter. But for the Owen students who do cross that threshold and do get to the interview, are they at a disadvantage vs. someone from Stern?
Also, circling back to Regenerate's point, debt is more than a number in a spreadsheet. It does have some influence on your actions. Stern will likely create an easier path into MBB, but in the same way, $200k in debt could close off some less lucrative paths that OP might want to pursue if they decide consulting isn't where they want to end up.
Overall, the heart of my argument isn't that Stern has no value over Owen. And there's no question that Stern's location is advantageous to OP's goals. My argument is that a student's success or failure is due more to that student’s qualifications and determination than the MBA program they attend.
Unfortunately, I don't think this question has a definitive answer, since you'll never know whether someone would have been more/less successful going to any particular program. Maybe one day Poets & Quants will decide to do a school-blind study of career outcomes based on factors like GMAT score, work experience, etc. Probably wouldn't be a very good for their advertising income.