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quant traders before: > Kelly Criterion (position sizing) > Black-Scholes-Merton (options pricing) > Sharpe / Sortino Ratio (risk-adjusted return) > CAPM (expected return) > GARCH models (volatility forecasting) > Markowitz Mean-Variance Optimization (portfolio allocation) > Monte Carlo simulations (risk scenarios) now: all of the above. one AI.

72,399 görüntüleme • 15 gün önce •via X (Twitter)

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Harry Markowitz, the Nobel laureate who invented modern portfolio theory: "Every fund from Bridgewater to Citadel runs on one equation I wrote as a 25-year-old grad student. Wall Street pays quants $500K to use it. It's free." the thread above teaches you to build a portfolio the real way, with the mathematics of capital allocation. every line of it traces back to one paper markowitz wrote in 1952. before him, "don't put all your eggs in one basket" was folklore. he turned it into algebra. he proved a portfolio's risk isn't the average of its parts, it's driven by how the parts move together, the covariance. combine assets that don't move in lockstep and you cut risk without giving up return. that is the closest thing to a free lunch in all of finance, and he wrote the exact equation for how much of it you get. that single insight, mean-variance optimization, is the engine under every serious fund on earth. renaissance, bridgewater, citadel, your pension, all of them size risk with markowitz's math. he published it in 1952, won the nobel in 1990, and it sits in every textbook and this free lecture. same story i keep telling: the math that runs the trillion-dollar machine has been public and free for seventy years. here is the part markowitz himself warned about. the equation is only as good as the numbers you feed it, your estimates of return and covariance. feed it garbage and the "optimal" portfolio it hands back is confidently, precisely wrong, and it detonates in the exact crisis it was built to survive. the optimizer is free. estimating the future honestly, and knowing when to distrust your own inputs, is the entire job.

Rossst.03

44,131 görüntüleme • 29 gün önce

One common reason why traders blow up is because of poor position sizing. In other words, how much do you bet on a trade. You can be right on direction 60% of the time and still lose everything if you size your positions poorly. One oversized trade can wipe out months of gains. This is why position sizing is a big part of risk management. Sandeep Rao - SEBI Reg. RA🖖 recently spoke to Tom Basso, one of the original Market Wizards, to discuss his approach to trading. I was listening to the interview and the one thing that stood out to me was how Tom's thinking on position sizing evolved over decades. He started simple: risk the same percentage of equity on every trade, inspired by Larry Hite's philosophy that every bet should be equal in terms of potential loss. But then came a silver trade with explosive volatility. Clients were calling, nervous about the wild swings. So he realized it wasn't just about the amount you could lose—it was also about the speed of movement. High volatility creates psychological stress that leads to poor decisions. So he added a second layer: volatility as a percentage of equity. Now he'd calculate both risk % and volatility %, then take the smaller of the two. Then came the third refinement: margin-to-equity ratios. Some markets have deceptively low risk and volatility but require high margin because of sudden jump risk. By incorporating all three factors, he never got caught overexposed. The result was a position sizing system that automatically scales down when markets get too volatile, protects against margin squeezes, and keeps portfolio risk in check. It's really interesting conversation. Link to the full interview is in the comments.

Nithin Kamath

59,268 görüntüleme • 7 ay önce

Ex-Citadel Quant Researcher on Trading Power & Gas — One of the Most Asymmetric Markets in the World Neel Somani (Neel Somani) — ex-Citadel commodities QR. Built the models the discretionary traders used to price power. "It's table stakes to put down seven figures of collateral in order to seriously trade power." We cover: - What a commodities QR actually does — building models traders use, sitting in PM meetings & how "slope" (your real cut of P&L) works - Where power edge comes from: congestion — the physics of a wire that heats up, droops, and can't carry more - How a hub trade gets built from the ground up: weather → demand → which units switch on → your price vs. the market's - Why blindly going long power is a structurally losing trade — skew assets always price above expected value - The anatomy of a blow-up: doubling down into the Feb 2021 Texas freeze as the price ran to $9,000/MWh - Why hedge funds trade power & gas but mostly steer clear of oil — geopolitics & risk you can't model - "Binding constraints" — the pricing model he carried off the grid and into startups, AI & supply chains - Why the guys who take risk for a living buy index funds with their own money Highlights: (00:00) Intro (01:12) Quant researcher execution models within multi-manager hedge funds (07:35) How transmission line congestion drives alpha in power markets (13:24) Capital intensity and managing risk profiles of high-skew assets (19:19) Why commodity desks prefer domestic power over geopolitical oil risk (22:55) Portfolio construction and risk mitigation during tail-risk freeze events (31:36) Capitalizing on the physical infrastructure constraints of AI data centers (36:25) How agentic architecture redefines software engineering and technical moats (43:04) Quant career opportunity cost relative to the AI paradigm shift (56:15) Variant views on venture multiples and agentic customer acquisition economics

Ethan Kho

116,875 görüntüleme • 1 ay önce

implied vol was 11.42% on Feb 19, 2020 realized vol over the next 30 days: 95.33% the market was pricing a normal week. what actually happened was one of the most violent moves in financial history that gap between implied and realized volatility is the single most important number quant desks watch implied vol is what options are pricing in for the future realized vol is what actually happened when implied is far below realized, options are cheap relative to what the market will actually do when implied is far above realized, options are expensive relative to what the market will actually do that spread has a name: the volatility risk premium Citadel, Susquehanna, Optiver built entire options desks around one question: what's the expected value of shorting overpriced vol vs buying underpriced vol? the scatter plot in the video shows every data point over years of history regression line: y = -0.73x + 18.5% translation: when implied vol is low, realized vol tends to explode. when implied vol is high, realized vol tends to collapse that's mean reversion in volatility itself. not price. vol retail buys calls hoping the stock goes up quant desks measure whether the option itself is mispriced relative to statistical expectation, and trade the premium one is a directional bet the other is arbitraging the gap between what people expect and what actually happens > volatility risk premium: documented in academic literature since the 1980s > average VRP on S&P 500: implied vol overprices realized vol by 3-5% historically > data: free from CBOE, Yahoo Finance, options chains > implementation: 20 lines of Python Feb 19, 2020 was a warning the math had been printing for weeks nobody in retail was reading it full breakdown in the video below

delost

28,202 görüntüleme • 1 ay önce

i built a 2 agent system using OpenClaw and Monte Carlo simulation > one agent predicts gold price > second agent bets on polymarket > second agent takes profit $1,400 → $17,900 in 72 hours saw a market on polymarket: "Will gold hit $3,000 by March 15?" price was sitting at 18¢ seemed random until i remembered Monte Carlo exists gave OpenClaw a task: "run 10,000 Monte Carlo simulations on gold price movement, calculate probability of hitting $3,000, pass results to trading agent" the architecture: > Agent 1 (Simulation Engine): - pulls historical gold volatility data - runs 10,000 price path simulations - factors in: Fed policy, geopolitical tension, USD strength - outputs: 73.4% probability gold hits $3,000 > Agent 2 (Trade Executor): > receives probability from Agent 1 > compares to polymarket odds (18¢ = 18% implied probability) > detects massive mispricing (73% vs 18%) > xecutes position hour 6: entered YES at 18¢ with $1,400 hour 24: gold jumps on Iran tensions, polymarket updates to 41¢ hour 48: Fed hints at rate cuts, simulation re-runs, now shows 81% probability hour 56: polymarket hits 67¢, Agent 2 adds to position hour 72: gold touches $2,987, market resolves YES at 94¢ final: $1,400 → $17,900 𝐡𝐞𝐫𝐞'𝐬 𝐰𝐡𝐚𝐭 𝐦𝐨𝐬𝐭 𝐩𝐞𝐨𝐩𝐥𝐞 𝐦𝐢𝐬𝐬: polymarket prices are just crowd sentiment Monte Carlo is actual math > when math says 73% and crowd says 18% > that's not a trade > that's free money the simulation factored in: - 500+ historical gold price scenarios - current macro conditions - geopolitical risk premium - correlation with treasury yields ran this 4 more times on different markets: "Bitcoin above $70K by month end" - simulation: 62%, market: 31% → won "Unemployment rate above 4.2%" - simulation: 44%, market: 68% → bet NO, won "Tesla stock hits $250" - simulation: 28%, market: 52% → bet NO, won "Trump announces tariffs this week" - simulation can't model politics → skipped 7 trades total 6 wins 1 skip (non-quantifiable event) the edge is simple: most traders bet on vibes i'm betting on 10,000 simulated futures best polymarket traders use only tradefox: does anyone else realize polymarket is just mispriced probability distributions?

ZER

149,335 görüntüleme • 5 ay önce

this model doesn't predict where the S&P 500 will go it predicts when the market's own velocity is about to collapse Z(x,y) = F(β, α, τ, ∇τ; x, y, t) one equation. four parameters. a 3D surface that maps how price momentum evolves across time and space β is drift velocity: μ/σ, the ratio of expected return to volatility when β is high the market is moving with conviction when β decays toward zero the trend is losing energy before the chart shows any sign of it α measures how fast that velocity is changing τ is the time structure of the regime ∇τ is the gradient, the rate at which the regime itself is shifting the 3D surface on screen is not decoration the red peaks are where momentum is concentrated and unstable the blue basin is where the system is calm and mean-reverting the yellow marker is where the S&P sat at the moment of the snapshot the model's output: position sizing optimization not buy or sell. how much exposure to hold given the current position on that surface the bottom chart shows it: blue line is the model, white line is buy & hold same asset, same period, different sizing at every point based on where the dynamics equation said the market was > time dynamics models: rooted in physics, applied to finance since the 1990s > drift-to-volatility ratio: standard risk metric at Two Sigma, AQR, Man Group > this exact framework: free, public, 60 seconds in this video > what retail uses instead: lagging indicators that measure the past, not the velocity of the present retail asks "is the market going up or down?" this model asks "how fast is the market's own energy decaying and where on the surface are we right now?" completely different question. completely different result full breakdown in the video below

delost

72,275 görüntüleme • 1 ay önce