Mathematically speaking all of the limited partner's outside basis (80% interest) would have to be multiplied by .63 to compress to 50%.

Nina,I'll give you the philosophical answer, and then provide an excellent link for the mathematical response.Ultimately, paying cash or leveraging to buy more properties is a win-win choice.  

This would be purely a mathematical decision upon evaluating the proportions of the loans in respects to their potential interest rates.

I find a lot of comfort in knowing that there is a concrete way of valuing a property by use of mathematical equations.

although they are all right, mathematically speaking, there are couple of elements to be consider as well.

From a purely financial/mathematical point of view, you should invest in real estate rather than pay off debt if the return on your investment is higher than the interest rate on your debt.

C properties trade in the 10-15% range typically, though you need to run sales comp in your immediate area to validate.I've heard of the 1% Rule (get 1% of purchase price per month in rents) so how are the 1% & 2% rules used and where can I find a list of these mathematical guides or rules of thumb & how to use them?

I am smart (have a B.A. in mathematics & M.Ed), organized, have great negotiating skills, and enjoy calculating statistics to make sure my clients get a great deal.

This book is very dense in mathematics and as an engineer you can appreciate the hard numbers without the dressing up to make it "interesting".

Now I have always had an entrepreneurial mind, but I also had a fascination with mathematics and the sciences.