I enjoy my engineering classes and the mathematics quite a lot, but it is not the end goal. the end goal is financial freedom that is why I joined the military so I could save for 4 years and get a free degree and set my life up how I want to.

Others are on the use all your leverage train because mathematically it tends to make sense, but I don’t believe that’s smart when adjusted for risks.

Each bank is different and there is no mathematical equation (unfortunately), but I wondered if there was a general rule of thumb so to speak.

Mathematically, it actually doesn't matter whether the syndicator takes part of the money and put it back in as an investment (as the OP is assuming) or go blow it all in Vegas.  

You seem comparatively young, which gives you a mathematically higher threshold for risk (although your personal threshold/appetite should also be considered).

Those reasons all appear to be mathematically sound.

@Brian Volland- the statement about ROI on paying down any debt early was just a general statement of mathematical fact. 

I am a student at Boston University studying Mathematical Finance.

If we find assets again in a range that makes sense mathematically, we'll go back in.

Mathematically, I could be entirely wrong.