Beating the Market: What It Actually Takes
Beating the market means outperforming the S&P 500 after costs. Here is the math of why most investors fail and what disciplined stock picking demands.
Foundations
The math every stock picker should master before picking anything.
Bear Markets in History: How Long They Last, How Deep They Go
What bear market history shows: how deep the major declines went, how long they lasted, and what the recovery math demands from investors.
The Compounding Math Every Stock Picker Should Know
Doubling times, return gaps, and drawdown asymmetry: the compounding arithmetic that decides what a portfolio is worth in 30 years.
Dollar-Cost Averaging vs Lump Sum: What the Data Says
Lump sum investing usually beats dollar-cost averaging when markets rise. Here is the math on both, and when spreading purchases makes sense.
Time in the Market vs Timing the Market: The Actual Numbers
Market timing looks smart until you price it. Here is the math on missed rebounds, annual drag, and what staying invested is actually worth.