There is the theoretical/mathematical way of doing things then there is the real world.Most deals are NOT going to be valued by cap rate, at least at purchase.  

You arrive at the same result mathematically, however you arrive at it using an incorrect method.

-When discussing real estate as a whole, no other argument makes mathematical sense.

There is no way to know with certainty when the next large decline will occur, but mathematically there are a lot more years of RE appreciation than depreciation. 

I am a student at Boston University studying Mathematical Finance.

That's been working for us thus far.Best, Carlos This is factually incorrect and I can prove it, using a Mathematical method called Proof Theory.

Mathematical errors: If you miscalculated a deduction or credit, an amended return can help correct the error.Filing status change: If you originally filed as single but are now married or qualify as head of household, you can amend your return to update your filing status.Missing or incorrect income: If you missed reporting income or reported an incorrect amount, you can amend your return to get this corrected.Missing deductions or credits: If there was a deduction that you were entitled to, but you forgot to claim it, you can amend your return to include the deduction.How should you amend your tax return?

However, I don't know if an article is actually relevant to the area of mathematics or programming we use until I read it.

:At the end of year 12 the total net worth it is not $290,550 but $300,271 as you forgot to add the $9,681 cash value return of that year.The outside investment only on year 12 net worth would be $313,842You are right on the cash value,  I have already realized it and corrected in one of my previous post(check my previous post).Of course, adding tax mathematically eventually the WL will catch up, but the question is how long, 10 , 50, or 100 years?

I am a student at Boston University studying Mathematical Finance.