AOF isn’t using a normal or lognormal distribution. That would be simplistic, but definsible. He’s using a distribution consisting of an equal weighting of all historical returns. It’s a worthless exercise. No takeaways possible.
Can you explain this thought a little more? Do we know if annual stock market returns are distributed in a normal or lognormal fashion? If this is all the data that we have, the distribution is the distribution. Are you concerned that he is sampling without replacement?
I’m not a statistics whiz but the real limitation to better analysis seems to be limited data. Is it possible to do a better assessment of stock market returns with the current data we have? More than a few of us here have experience with robust scientific methods and and statistical analysis. Can we show them how it should be done?
I don’t think that is the issue that much. I think just using historical returns doesn’t give us many other scenarios that monte carlo can since it is not only based on data we have but it generates random returns/scenarios based on the model you created. Historical return resampling/bootstrapping doesn’t have any such model. So yea its more advantageous to use MC. BUT Monte Carlo simulations are only as good as the input assumptions. Do financial planners really input even mean reversion in it? Doubtful.
May be I should google more.
https://www.forbes.com/sites/wadepfau/2018/01/24/monte-carlo-simulations-versus-historical-simulations-updated-to-2018/#4d3de2b2768e
I do feel validated:
"Which brings us to the next point: the results of Monte Carlo simulations are only as good as the input assumptions, though when thinking about future retirements, historical simulations are likely to be even more disadvantaged by this issue. Monte Carlo simulations can be easily adjusted to account for changing realities for financial markets. Overall, the advantages of Monte Carlo simulations likely more than make up for any deficiencies when compared to the results we obtain using historical simulations."
hmmm wonder who else said that lol.
Anyways, for those who love this stuff (I actually don't but do like the math behind); original trinity study has no simulation in it. Its just rolling 30 analysis. Market is different now and changes. I wouldn't rely on 4% as an iron rule. Additionally, Donnie above is correct: build a more sophisticated model and then project (easier said then done). [Tap your hedge fund buddy heh or just follow sage advice of AlexTT et al in the thread]
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