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Welcome to mathestate!

mathestate is a proprietary set of data-driven mathematical analysis tools designed to analyze investments using real data and custom formulas. mathestate and the tools available are free, but before downloading or using the tools be sure to read the legal section.  Get started!  Click on TOOLS now.

mathestate is divided into Financial and Real Estate sections. 

The financial section of mathestate highlights the Levy stable distribution as a tool for examining risk and expectation in the heavy-tailed returns which are seen in financial data.  Each page is created with a Mathematica notebook that can be downloaded to examine the algorithms in detail.  A free stable distribution software package supplements the notebooks.  Mathematica, however, is not needed to view the site and follow the tutorial on stable distributions.  Start Financial tools now!  

Real Estate follows Roger J. Brown's book Private Real Estate Investment-3rd Edition January, 2018 and is now available in a number of formats.  Go to Real Estate tools now.

Site news and updates:

JANUARY 1, 2021

It has finally happened!!! The mathestate blog is live at Signup is easy and free.

MARCH 15, 2020

A collection of semi-organized mutterings and ideas representing work-in-progress is available for browsing and comment.

DECEMBER 29, 2019

For a method of scaling downturns in real estate Real Estate Recessions has been added to the Wolfram Demonstrations Project.

NOVEMBER 21, 2019

To better understand the nature of real estate risk Foreclosure Regimes has been added to the Wolfram Demonstrations Project.

March 31, 2018

The three part series: The Case for Decision Trees in Partition Actions , The Dilemma and And the Winner is... is available for download.

March 27, 2018

The third edition of Private Real Estate Investment is available for download.

March 31, 2017

A copy of Entropy: What Kind of Bet is Real Estate - Really? is available for download.

January 31, 2017

An interactive Decision Tree Model is available for download.

January 1, 2016

The Worst of the Best of Roger J. Brown is available for those with an e-reader and 99 cents to waste.

December 1, 2014

An analysis of the Sally Clark legal tragedy may be downloaded here.


An Excel file titled "ModelingRisk.xlsx" is now available that includes a stable psuedo-random number generator which permits the user to demonstrate alternative probability distributions, compute quantiles and more explicitly model variation in the IRR and Net Present Value. The user's manual for the file may be downloaded here.

FEBRUARY 1, 2013

Several new special topics appear interactively. One is on the true cost of mortgage funds. Another is about the historical term stucture of interest rates. A third is an examination of the depth of the real estate crash. There is also a discussion of refinance benefits and costs. Each of these require your browser to have the free CDF Player plug-in from Wolfram Research.

APRIL 10, 2012

mathestate founder Roger J. Brown announces the publication of the 2nd Edition of Private Real Estate Investment. Read the Preface for a description of the print, electronic and interactive versions. Visit the Table of Contents for more information about what is inside. The entire book (16 chapters) or Part I - The Basics (Chapters 1-5), Part II - Risk Analysis (Chapters 6-10) or Part III - Special Topics (Chapters 11-16) may be found at Amazon. Electronic versions of the entire book, Part I, Part II or Part III are also available.

NOVEMBER 1, 2010

In the ongoing search for a more appropriate risk measure for real estate, an illustration of Spectral Risk Measures has been added to the Wolfram Demonstrations Project.

NOVEMBER 17, 2009

To further the study of heavy tails and sums of random variables, note the addition today of the Generalized Central Limit Theorem to the Wolfram Demonstrations Project.

AUGUST 19, 2009

A new tool is provided in Wolfram Demonstrations. It demonstrates the sobering reality of planning for retirement in an inflationary environment using Inflation Adjusted Yield calculations.

JULY 28, 2009

A new tool is provided in Wolfram Demonstrations. It shows how forming efficient frontiers from assets having non-normal return distributions is an exercise in futility.

JULY 14, 2009

Two new tools are provided in new Wolfram Demonstrations which describes the problems associated with Simulating the IRR and an economic history contained in the Term Structure of Interest Rates.

JUNE 27, 2009

Two new tools are provided in new Wolfram Demonstrations. One shows how to test the legitimacy of capitalization rates using the probability that expense ratios are consistent with different markets. The other describes the idea of real options.

JUNE 26, 2009

As presented at the Graybill VIII conference on Extreme Value Analysis, mathestate offers complete details of a new mixture distribution providing an accurate fit to financial data.

JUNE 11, 2009

A tool for testing the sensitivity of each parameter in the NPV calculation is provided in a new Wolfram Demonstration.

MAY 22, 2009

To assist those interested in infinite variance models, mathestate now provides, in a Wolfram Demonstration the Granger-Orr running variance test.

MAY 20, 2009

A simple algorithm for modeling stable distributions where alpha > 1 is provided in a new Wolfram Demonstration.

FEBRUARY 23, 2009

mathestate now provides a New Market Risk Paradigm using Volatility measured as Stable Gamma.

JANUARY 18, 2009

The stable distribution computed with the Zolotarev Integral is displayed at the Wolfram Demonstration Project.

DECEMBER 24, 2008

Just in time for Christmas, the stocking stuffer everyone is asking for, a Wolfram Demonstration explaining the number of constants needed to fit an elephant.

SEPTEMBER 13, 2008

Art De Vany describes the Palin Effect in Intrade Presidential Election Futures Market in terms of extreme events. Regular election prediction can be found here.


A fiction science short story called "The Point" may be downloaded here.

JULY 21, 2008

The empirical characteristic function (ecf) of a random sample is demonstrated at the Wolfram Demonstration Project

JULY 20, 2008

One solution to the subprime loan crisis using options is described at the Wolfram Demonstration Project.

MAY 19, 2008

A new statistical distribution modeled as the product of a lognormal random variable and a stable random variable provides an improved fit to market data.

APRIL 21, 2008

The Wolfram Demonstrations Project now has Net Lease Economics available for download

MARCH 30, 2008

Applying stable laws to the Iowa Electronic Markets, mathestate now offers the 2008 Presidential Election Futures offering a prediction model based on a real auction using real money and updated mathematics.

JANUARY 26, 2008

The Wolfram Demonstrations Project now has Stock Price Probability with Stable Distributions available for download.

NOVEMBER 15, 2007

Announcing a major revision, mathestate now provides two new features. Under the Financial section users can download custom software in the form of Mathematica notebooks. For Real Estate, mathestate now points users to the Wolfram Demonstrations Project. Users can download free Mathematica Player from Wolfram Research and run any mathestate demonstration on the Wolfram site.

August 20, 2007

Free Financial Market Analysis Software is now available in the Financial section. This software uses an entirely new measure of risk.

February 1, 2006

Hugh Kelly, CRE, Clinical Associate Professor of Real Estate at The Real Estate Institute of New York University publishes a review of Private Real Estate Investment in Volume 3, No. 90 of The Real Estate Review of NYU.

January 25, 2005

The book, Private Real Estate Investment, that accompanies is now available from Academic Press. A description of the contents may be found under Resources link on the home page.

April 10, 2004

Responding to concerns that real estate prices may be in a "bubble" condition, a mathestate tutorial explains how investors and lenders determine the maximum expansion of a bubble. A demonstration assists in determining if the user's transaction or market is nearing the end of a bubble period and how investors anticipate the next level of growth.

OCTOBER 25, 2003

Using non-normal stable random numbers, a mathestate tutorial now demonstrates a host of investment "frontiers" (efficient or not) in risk-reward space.

OCTOBER 13, 2003

mathestate adds tools that estimate non-normal, Stable distributions. Users can now model tail behavior by specifying Stable parameters using a Mathematica notebook. An expanded discussion of this subject, including a "live" demonstration with financial data, may be found in the Financial section.

SEPTEMBER 10, 2003

Users can now upload their own data, permitting them to analyze market information they have collected from any source using the many econometric tools provided at mathestate.


mathestate launches the most sophisticated real estate investment analysis site available. The first ten tools include: a precise measure of the value of a tax deferred exchange, using a variable holding period to reflect best and worst case returns, partitioning the IRR to distinguish investing from speculating, a way to measure location value and determine the path of progress, a tutorial on non-symmetric probabilities and a way to measure how "honest" a capitalization rate is.