Dualyx @dualyx

Invest $1 at 5%. Compound it yearly, you get 1 plus r. Compound it monthly, the number creeps up. Compound it every second, every millisecond, take the limit to infinity. You get e. That is how Bernoulli discovered it in 1683. Not from pure math. From asking how fast money grows when you never stop reinvesting. The first mathematical finance paper in history, and most people think e is just a button on a calculator. Then he flipped the question. You will receive $1 in one year. What is it worth right now? If you can earn 5%, that future dollar is only worth 95 cents today. The "$300 million lottery jackpot" on the billboard is worth half that in present value. The lump sum is the honest number. A Bell Labs physicist used the same math in 1956. One equation: your edge, divided by the odds. That is the maximum you should ever bet. Bet double it and your growth drops to zero. Bet more and you go broke with certainty. Winning system and all. Ed Thorp bet half of what the formula allowed. First quant fund. No losing year for two decades. Jim Simons is right 50.75% of the time. Over $100 billion. The lecture is free. The equation is free. Betting less than you want to, every day, for twenty years. That is the entire fortune.

Rossst.03 @Rossst_03

2 weeks ago

x.com/i/article/2082…

19 46 291 1.2M 773

You didn't blow up because of a bad trade. You blew up because of a single number you never calculated. A physicist at Bell Labs proved this in 1956. For any edge, there is exactly one bet size that maximizes growth. One. Not a range. A point on a curve with a peak and a cliff. Below the peak, you leave money. Above it, you go to zero. Every blown account in history was above that point. John Kelly wrote ten pages in a journal nobody read. Died at 41 on a Manhattan sidewalk. Never traded a share. His formula now runs inside Renaissance, inside Thorp's fund, inside every serious quant shop on Earth. But the formula only solves half the problem. It tells you how much. It doesn't tell you what. For that, you need Jim Simons. Simons spent twenty years proving theorems about the curvature of empty space. Topology. Fiber bundles. He once opened a lecture telling mathematicians to "either leave or doze." Then he quit academia and built Medallion Fund. 66% a year before fees. Thirty years. What did he trade on? Nobody outside knows. But here's what he studied: hidden structure in data that only a topologist would look for. Not charts. Not earnings. The geometry underneath the noise. Two men. One found the edge. One found the size. Both did pure math. Neither cared about markets.

Tigerflow @tigerfl0w

3 weeks ago

x.com/i/article/2079…

22 118 621 4.8M 2K

You can win 6 trades out of 10 and still go broke. That sentence breaks most people's brains. It's not a paradox. It's a sizing problem. A factor that beat the market for 30 years can stop working the day it gets published. Not because the math changed. Because everyone read the paper. Wall Street calls it crowding. The edge compresses to zero. Then it inverts. Value beat the market from 1926 to 2006. Then it flatlined. Momentum worked until 2009, then crashed 40% in three months. Low volatility worked until every pension fund piled in. Even the factors that still work will destroy you if you size them wrong. One equation answers the sizing question. Public since 1956. Edge divided by odds. Kelly criterion. One line. Renaissance used it to turn 50.75% accuracy into a hundred billion dollars. Bet the exact Kelly fraction and your money grows at the fastest possible rate. Bet double and your growth drops to zero. Bet more and you go broke with mathematical certainty. Winning system and all. LTCM had Nobel laureates and real edges. They leveraged 25 to 1. One bad streak vaporized $4.6 billion. They didn't die from being wrong. They died from sizing a real edge like a sure thing. The factor is the easy half. The sizing is the entire fortune. Both have been free for decades. Almost nobody runs them together.

Rossst.03 @Rossst_03

2 weeks ago

x.com/i/article/2082…

19 46 291 1.2M 773

Make a thousand smart moves in the market. You'd expect to be a thousand steps ahead. The math says you're 32. That's not a metaphor. It's a proof. Square root of n. Not n. Jake Xia puts it on the board in the first ten minutes at MIT, between managing billions at Harvard's endowment. It means wealth is supposed to look like noise. For years. That's not a bug. That's the math working exactly as designed. A drunk man walking randomly on a street will always find his way home. Proven. A drunk bird flying randomly through the sky probably won't. Also proven. Same randomness. Different dimensions. Different fate. Portfolios live in the same proof. Stay in two dimensions, keep the bets small and survivable, and the walk brings you back. Overleverage into the third dimension and the math says you may never return. Zuckerberg's 76% drawdown was a two-dimensional walk. Ugly, but survivable. LTCM's 25-to-1 leverage was a bird in open sky. Gone. The proof has a name. Gambler's ruin. Without a real edge, going broke is not a risk. It's a certainty. Not probably. Certainly. Xia teaches this in hour one. Free. Public. The math has been settled for a century. The only thing it can't teach you is the patience to stay in the walk long enough for 32 to become a fortune.

Rossst.03 @Rossst_03

2 weeks ago

x.com/i/article/2082…

19 46 291 1.2M 773