Especially for the "small fish" owners that mathematically is not worth their attentions.

If that happens every year  mathematically I’d be better suited to just let the tenants stay at the current rate until they decide to leave and then turn over the unit and move the rent to market rate and repeat the process it’s the same amount of revenue (or more) with zero annual turnover headaches 

The listing agent did tell us she thought the seller still owed at least $168k, which appears to be mathematically feasible. 

The naturally thing that comes to mind is, how does this ROE calculation relate to ROI/IRR (both in practical and mathematical senses) and should one metric be considered more strongly over another in certain situations.

Is there any kind of mathematical formula or equation I can use when trying to see if a duplex will benefit me using the first time buyer loan ?

This is mathematical.

I have been away from this thread for a while, hence the tardy response.Jon Holdman pointed out via a precise mathematical calculation of how using leverage is beneficial to a certain extent.

It's hard to imagine how I can get anyone's interest for another purpose that requires additional investment considering the mathematical dilemma I seem to be in.The problem with continuing to use it as a theater is that this would also require more investment.

The old model was really stupid IMO.Perhaps this new system offers a little more mathematical elegance, but it depends how the new numbers will be used.

At that amount, even though it's the same risk equation mathematically, I would probably pass because of what other ways I could invest $250-500K vs a lesser amount like $3,000.