Hi Guys,
I truly do not understand the reluctance of a few MFO participants to consider adding Monte Carlo methods to their financial toolbox. It is a powerful tool with unique capabilities and is specifically designed to address complex and uncertain issues. Offhand dismissal of the technique is not a sound strategy.
Monte Carlo formulations have a distinguished scientific history. Enrico Fermi used it to model atomic neutron diffusion in the 1930s. Stanley Ulam and Johnny von Neumann formalized the tool when developing nuclear fusion algorithms at Las Alamos, New Mexico in the early 1940s. The technology was given the Monte Carlo name because it was a secret World War II project.
It was slowly introduced into the financial and investment community as computers became cheaper and more accessible. Nobel Laureate Bill Sharpe made the tool available to the general public with his Financial Engines website in 1996.
Here is the Link to the website:
http://corp.financialengines.com/Take particular note of the financial institutions that use the Financial Engines toolkit. The extensive listing is literally the honor roll of the investment universe. That is a well recognized accolade for a tool that helps in the decision making process for modeling very uncertain events.
The three major mutual fund houses (Vanguard, Fidelity, t. Rowe Price) all offer a Monte Carlo simulator. Financial business entities all deploy various types of Monte Carlo programs to facilitate and to formalize their decision process. Private Monte Carlo codes are accessible to individual investors from numerous sources. The Monte Carlo simulator is ubiquitous throughout the financial industry for solid reasons. It yields guideposts for uncertain investment decisions.
I have mentioned my favorite “The Flexible
Retirement Planner” in earlier postings. Here is the Link to that excellent resource:
http://www.flexibleretirementplanner.com/wp/I also like “Moneychimp” because of its simplicity. Here is the Link to that tool:
http://moneychimp.com/articles/volatility/montecarlo.htmIf you are not comfortable with pure Monte Carlo codes, you might like a different approach offered by Firecalc. That site uses actual historical returns with structured starting dates to generate a set of equity returns. Here is the Link to that website:
http://www.firecalc.com/I am constantly amazed at how quickly an investor can explore his
retirement possibilities and pitfalls.
To illustrate, I’ll use The Flexible
Retirement Planner to explore three
retirement dimensions. As a baseline, I’ll postulate a portfolio with a 7.5 % average annual return with a 13 % standard deviation volatility. That’s representative of a 60/40 equity/bond portfolio mix. I’ll assume a 30 year portfolio survival requirement with an initial $40,000 annual drawdown need (these programs adjust for inflation; I selected a constant 3 % level).
First, I’ll postulate initial nest-eggs of $500,000, $750,000, and $1,000,000, all in taxable accounts. For these starting conditions, the Monte Carlo analyses projected survival likelihoods at a disastrous 2 %, an unacceptable 31 %, and a highly risky 68 % rate, respectively. That’s a significant and appalling insight.
Retirement is not a good idea.
Second, how much of an improvement can I anticipate if I cutback my annual withdrawal rate to $35,000? Again, for the $500,000, $750,000, and $1,000,000, portfolios, the survival probabilities become 7 %, 50 %, and 81 %, respectively. I’m still not sanguine with these likelihoods. Still too, too risky.
These simulations suggest that I should delay
retirement until I acquire a larger nest-egg. How much does a $1,250,000 portfolio enhance the odds? The survival prospects increase to an attractive 94 %. Patience will be rewarded.
Third, s few sensitivity scenarios are worth exploring. For example, what is the deterioration to the 94 % success likelihood if the portfolio only provides a 7.0 % annual return rate? The Monte Carlo code generated a respectable 91 % survival probability. That output suggests some robustness to the plan. What-If scenarios are easily examined on these Monte Carlo tools.
This entire analytical sequence took about 15 minutes to complete. The study is surely not exhaustive, but serves to illustrate the instructive power of these Monte Carlo programs.
Indiscriminately tossing the Monte Carlo codes away as not trustworthy or useful is shortsighted and misguided. These tools certainly can not predict future investment returns; nothing and nobody can. But they do provide guidance and awareness of the risks associated with numerous investment and
retirement decisions. In these uncertain environments, Monte Carlo probes can be deployed to estimate the success/failure odds and to discover approaches that can enhance any troublesome odds.
Monte Carlo will do workhorse duty for you if you just give it a test ride.
Your comments are always welcomed.
Best Regards and Merry Christmas.