Statistical question on investments

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October 21, 2020

by a searcher from University of Dallas in Houston, TX, USA

For the statistically minded – what would be the statistically significant sample size that I would need to participate in to get Stanford study average return?

For traditional search funds?

For self funded searchers?

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Reply by a searcher
from Harvard University in Plano, TX, USA
On page 9 of the 2020 Stanford Search Fund study, they provide a very detailed breakdown of the historical returns and how frequently different outcomes occurred (e.g. 33% of search funds don't acquire and lose 100% of capital, ). Assuming future returns mimicked past returns (this is a big if), you can very easily generate sample portfolios with a random number generator and see the returns you would get (Monte Carlo Simulation). Plot your IRR, ROIC, and VAR(ROIC) as you generate more samples and you'll quickly see how long it takes to converge on their returns.

Besides future returns mimicking past returns, you will also need to pick what outcome you expect in the "10X+ ROIC" case since this will drive a good chunk of total returns.
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