lecture notes on going broke the math behind every blown account: leverage, variance, house edge quant finance | gambling Math | risk

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On July 23, 2025, the sister of a murdered Idaho student looked at the killer in court and said, "Sit up straight when I talk to you." When the judge later gave him the chance to explain, he used three words. In the video below, you see her statement. On November 13, 2022, four University of Idaho students were killed in a rented house in Moscow, Idaho. Kaylee Goncalves, 21. Madison Mogen, 21. Xana Kernodle, 20. Ethan Chapin, 20. The killer was Bryan Kohberger, 28, a PhD student in criminology at Washington State University. He left one thing behind: a knife sheath with his DNA on the button snap. Investigators traced it through genetic genealogy, matched it to trash from his family's home in Pennsylvania, and arrested him there six weeks later. In July 2025 he pleaded guilty to avoid the death penalty. He never gave a motive. At sentencing, Kaylee's older sister Alivea stood up. "I won't offer you tears. I won't offer you trembling." She read him the questions he would not answer. Why November 13th. Where the murder weapon is. Then she told him what he was. "You are not profound. You're pathetic." "You spent months preparing and still all it took was my sister and a sheath." When she finished, the courtroom applauded. He didn't move. Judge Steven Hippler asked if he wanted to speak. "I respectfully decline." He got four consecutive life sentences without parole, plus 10 years for burglary. The judge called him a "faceless coward" and said it was time to end his "15 minutes of fame." He took a plea to save his life and kept the one thing the families asked for. Should a guilty plea ever be allowed without the truth?
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In the 1990s, in Angarsk, Siberia, a man in a police uniform would pull over at night and offer a woman a lift home. It was late. He was the police. They got in. Some of them never got home. He kept doing it for almost two decades. At home he had a wife and a daughter. In 2012 investigators took DNA from about 3,500 current and former police officers in the Irkutsk region. On June 23, 2012, they arrested one of them. Mikhail Popkov, 48. In 2015 he was convicted of 22 murders. In 2018, of 56 more. Then two in 2021. Three more in 2023. 83 murders. One man. In a 2019 prison interview he was asked why. Was it revenge? Did he see himself as some kind of cleaner? "I can't explain it." Then he was asked how he stopped. He said it was fear of being caught. And one rule. "On principle, I didn't let anyone in my car." He started by offering women a ride. He says he stopped by never offering one again.
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In 1993 three prison guards walked a 33-year-old man into an interview room in Wisconsin. He was in handcuffs. One guard held each arm. In front of the camera his hands would not stay still. In June 1978, three weeks after his high school graduation in Ohio, he was 18. So was Steven Hicks, a hitchhiker he picked up that summer. Steven never got home. Years later he lived in Milwaukee. He met men in bars and brought them home. The drink was already mixed with sleeping pills. On May 27, 1991, a 14-year-old boy got out of that apartment and was found in the street, naked and bleeding. Three young women called 911. The man told the officers the boy was his 19-year-old lover. The officers walked the boy back inside. On July 22, 1991, Tracy Edwards, 32, ran from the same apartment with a handcuff on one wrist and flagged down a patrol car. That night the police learned the name of the man who lived there. Jeffrey Dahmer. 17 men and boys, killed over 13 years. In 1992 he got 16 life terms. Asked why, he said: "Not because I was angry with them, not because I hated them, but because I wanted to keep them with me." During the interview he asked them to cut the film. On November 28, 1994, another inmate beat him to death. It took three guards to walk him into a room. It took two officers to walk a 14-year-old back to him.
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On September 15, 1873, Jay Cooke had President Grant as a guest at his estate outside Philadelphia. Three days later his bank shut its doors. Cooke was one of the most trusted bankers in America. He had sold the bonds that paid for the Union side of the Civil War. Then he put his bank behind the Northern Pacific, a railroad from Lake Superior to Puget Sound that wasn't finished and wasn't earning. Two weeks later Frank Leslie's Illustrated Newspaper wrote that the Northern Pacific had already swallowed "at least $40,000,000." And this line, which I keep rereading: "Men who a few days ago were worth millions are to-day penniless." The New York Stock Exchange closed for ten days. It had never closed before. The same page has a drawing of Grant meeting the bankers at the Fifth Avenue Hotel. The caption: "The President refusing to use the U.S. Treasury." About 18,000 businesses went bankrupt. 121 railroads. Unemployment hit 14% nationally and around 25% in New York, and the depression lasted more than five years. Cooke himself came back. He made a new fortune in a Utah silver mine and died rich in 1905. That part bothers me more than the crash. The man who borrowed against an unfinished railroad got a second chance. The people queuing outside the Fourth National Bank on Nassau Street mostly didn't. Was Grant right to keep the Treasury shut?
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I found the front page of the Indianapolis Times for October 29, 1929. Across the top: "Stock Crash Greatest in History." Further down, in small type, my favourite line: "Assurance That Bottom Is Reached Brings Only Brief Halt." The bottom came in 1932. 89% below the peak. On September 3, 1929, the Dow stood at 381. Economist Irving Fisher was talking about "a permanently high plateau." On October 24, a record 12.9 million shares changed hands in a day. Bankers met at Lamont's office, and their man Richard Whitney walked onto the floor and loudly bid $205 for 25,000 shares of US Steel. The market calmed down. For one day. Monday, October 28: down 12.8%. Tuesday the 29th: down 11.7% on 16.4 million shares. Down 23% in two days. By noon the paper was reporting nearly $50 billion in market value gone. This is where I disagree with how the story usually gets told. The crash didn't ruin anyone. The debt did. By August 1929 brokers had lent small investors more than $8.5 billion, often more than two thirds of what a stock cost. If you bought with your own money, October was a painful number on paper. If you bought on margin, you got the call, sold at any price, and pushed the market lower for everyone else. Whitney's bid was theatre. It bought one day, not three years. The scariest number for me isn't even 89%. It's 1954. The Dow got back to its September 1929 level on November 23, 1954. Twenty-five years. Buy the top at 40, break even on the index at 65. So when someone tells me "the market always comes back," I want to ask: in whose lifetime? Today 100x leverage is one tap away. The next crash isn't the question. The question is who will be carrying a loan that Tuesday.
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FANDUEL SAYS ITS MEDIAN BET IS $5. ONE VIP WAGERED $18.5 MILLION, LOST $1.5M AND GOT A BRYCE HARPER VIDEO. It published the number the same week Congress's 20 October deadline on its VIP videos ran out. Here is the math the median hides ↓ -> Now FanDuel publishes "Fast Facts": median bet $5, median bettor about $63 a month. No sample size, no method. The bettor behind the inquiry, Terry Thompson, wagered $18.5 million on FanDuel since 2020 and lost $1.5 million, The Philadelphia Inquirer reported. In November 2024 his VIP host arranged a 21-second Harper video that greeted him and his son by name. The $63 comes from a NerdWallet/Harris poll of 458 sports bettors. In the same poll the median bettor spent $750 a year. The average spent $3,284. 4.4 times the median. That gap is the tail. Harper: "I did not know FanDuel would do this, I did not consent to it, and FanDuel had no right to do it." FanDuel says the videos were a "token of appreciation for a customer's loyalty" and were not used to induce gambling. Caveat: Thompson's losses are allegations in a lawsuit against FanDuel and DraftKings, filed March 2026. A $5 median can be true and still miss the point. Turnover pays the house, and one VIP brought $18.5M of it ↓ Which number should regulators look at: the median bettor, or the top 1%?
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1 MISSED FILE ON 1 OF 8 SERVERS COST KNIGHT CAPITAL $460 MILLION IN 45 MINUTES august 1, 2012. knight was the biggest trader in us stocks: 17.3% of nyse volume. the code that killed it had been dead for 9 years ↓ -> Now the SEC order reads like a post-mortem, line by line. In 2003 Knight retired a function called Power Peg. It never deleted the code. In July 2012 it reused the flag that once switched Power Peg on, for NYSE's new Retail Liquidity Program. One technician copied the new code to 7 of 8 servers. On the 8th, the old flag woke up 2003 code. 212 customer orders came in. More than 4 million orders went out. 397 million shares, 154 stocks, 45 minutes. By the time it stopped: $3.5 billion long in 80 stocks, $3.15 billion short in 74. 97 automated warning emails were sent. None were acted on. Day 1 the stock fell 33%. By day 2, 75% of its value was gone. On August 5 investors led by Jefferies put in about $400 million. By July 2013 Knight was folded into Getco. What it showed: the new code worked. The deployment failed. No second technician, no written procedure. The SEC counted the loss at more than $460 million and fined Knight $12 million. Knight's own pre-tax figure was $440 million. A single skipped server is no longer an IT ticket. At market speed it is a balance sheet ↓
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BILL HWANG'S ARCHEGOS HAD $36 BILLION AND WENT TO ZERO IN UNDER A WEEK. BANKS LOST AT LEAST $10.4B. The usual story: one terrible week in the market. The numbers tell a different one. It fits in one line of math ↓ 2013: Hwang launches Archegos as a family office. March 2021: $36B of capital, $160B of stock exposure through swaps. 23 March 2021: buys nearly a billion dollars more of ViacomCBS and other stocks. Within a week: wiped out. 6 reasons it went to zero: 1. LEVERAGE. $160B on $36B is about 4.4x. A 22.5% fall across the book erases all of it. 2. CONCENTRATION. The exposure sat in a handful of stocks. Concentrated names can fall 22.5% in days. 3. OPACITY. Through swaps, each bank saw only its own slice of the $160B. 4. TIMING. On 23 March it added nearly $1B more, days before the fall. 5. COUNTERPARTIES. Credit Suisse lost $5.5B, Nomura $2.9B, Morgan Stanley $911M, UBS $774M. 6. LAW. Losing money is legal. Hwang got 18 years and $9B+ in restitution for fraud. Control group: LTCM, 1998. More than 25-to-1, lost over 90% of its capital. 14 firms put in $3.625B. No criminal charges. The one difference: nobody was convicted of lying. formula: Δp* = 1/L. Everything else is how long it takes. sources: US DOJ SDNY, CNN, NBC News, The Daily Upside, Federal Reserve History Which killed Archegos: the leverage, or the secrecy?
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JAMES WYNN MADE $87M ON HYPERLIQUID IN 70 DAYS. A 3.6% BITCOIN DIP TOOK $99M AT 40X LEVERAGE. May 24, 2025: a 40x Bitcoin long worth $1.25 billion. Entry $107,993. May 26: he posts that he is leaving the "casino". Here is the 40x leverage math nobody checks ↓ At 40x leverage you put up 2.5% of the position. The other 97.5% is borrowed. So a 2.5% move against you wipes the whole margin. Not 25%. Not 10%. 2.5%. May 29: 94 BTC liquidated at $106,330. May 30, hours after he wrote "I strongly advise people against what I'm doing!": 527 BTC liquidated at $104,950. Then 422 BTC at $104,150. 949 BTC gone. About $99.3 million. BITCOIN LIQUIDATION MATH AT 40X LEVERAGE $107,993 → $104,950 is a 2.82% drop. Multiply by 40: that is 113% of the starting margin. Bitcoin did not crash. It slipped under $105,000 after tariff comments from Trump. What it showed: the edge worked for 70 days. The leverage let one ordinary dip decide everything. His own words afterwards: "I was basically gambling. I got greedy and stopped taking the numbers seriously." Caveat: analyst Dethective later alleged Wynn ran equal longs and shorts against himself, so part of the losses may have been hedged or unrealized. A single bad call is no longer the risk. 40 times a normal day is. $87M in profit on May 26: cash out, or one more 40x long?
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RYO GAKUCHO, 40 MIN, 257K VIEWS: STOP YOUR NISA AT (SPENDING − PENSION) × 25. JGB AND ¥100M RULES INSIDE. ryo gakucho packed his aug-sep 2026 money lectures into 1 video. 4 topics, 6 rules. the strangest one: you can stop investing decades before you start withdrawing ↓ the idea: money has a finish line, and most people run past it. NISA, JGB, SIDE HUSTLE, ¥100M: THE 6 RULES 1. NISA STOP LINE (0:47): (yearly spending − pension and other income) × 25. spend ¥5M, pension ¥2M, gap ¥3M × 25 = ¥75M. the 25 comes from the trinity study 4% rule. for early retirement he uses 3.5% 2. STOP ≠ WITHDRAW (2:16): ¥15M at age 40, left alone at 7%, is about ¥81M at 65. ¥6M (NISA ¥1.2M × 5 years) at 5%+ passes ¥20M in 25 years. stop adding early, start spending late 3. PENSION MATH (4:54): single, ¥110k/month gap → line ¥33M (¥75M with no pension). couple, ¥70k/month gap → ¥21M (¥90M with no pension). fire at 45 on ¥3M a year at 3.5% → about ¥86M 4. SIDE HUSTLE NG 5 (11:01): copying no one, too little volume, volume as the goal, no review, missed timing. his fix: 5 posts a day at 70/100 quality minimum, double down on the top 10%, kill the bottom 10% 5. JGB TRAP (21:20): retail floating 10y pays 1.87% (10y JGB yield × 0.66, principal protected). shin-madohan fixed 10y pays ~2.7-2.8% at market price. drop ≈ rate rise × years left: +1.2% with 7 years left = −8.4%, ¥1M → ¥916k. his call: not while rates are rising 6. ¥100M AND STILL WORKING (29:45): 7 reasons. a 70/30 portfolio gives ¥70M × 4% = ¥2.8M, not ¥4M. 7% doubles ¥100M to ¥200M in 10 years. a ¥10M salary is hard to drop. plus family, a higher fire target, social ties, nothing else to do spending gap × 25 → stop adding → let 7% compound → withdraw 4% from 65 alone each rule is basic. together they answer one question: how much is enough, and what happens after you get there. bookmark this before your next NISA top-up. the lecture is in japanese with auto-captions, link in the first reply. are you still adding past your line, or not there yet?
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CONSO BOTS ON SUI: 5,555 FREE NFT NODES, +25% ZAP MINING EACH. THE DOCS HAVE 0 LINES ON THE TOKEN. conso bots is a free mint for x accounts that pass a reputation check. 5,555 supply, gtd + fcfs, mint date not set. i went through the whole gitbook. one part is missing ↓ most free mints sell you art. conso bots sells you a job: a "mobile node" that mines ZAPs on sui. the idea: your x, steam and github activity becomes a score, and the bot multiplies the score. ▹ @conso_xyz BOTS + ZAPS UNDER THE HOOD 1. ELIGIBILITY: paste your x handle into the conso eligibility checker. 5,555 bots, 2 lanes (gtd, then fcfs), free, countdown still shows no date 2. MOBILE NODE: built on sui, data stored on walrus, encrypted with seal. the bot is pitched as verifying activity and flagging bad actors in 1 network 3. MINER APP: holders mine ZAPs in the conso miner app. community posts say +25% per bot, max 10 bots per wallet, transfers only after a lockup. none of this is in the docs yet 4. ZAPS: scored from 12 platform apis (youtube, x, twitch, steam, github, discord, sui apps...), 5 zones (social, gaming, creative, on-chain, developer), a cap per platform, badges level 1-5 add multipliers 5. TOKEN: every doc page, 0 lines on how ZAPs convert to anything. no tokenomics page, no team page, no funding page. ZAPs today = rank on a zapboard + campaign odds 6. ROADMAP: polar bear membership nft is dated q1 2026 in the faq and q3 2026 in the roadmap. the first collectible to ship is a robot. q4 2026 smart campaigns, q1 2027 developer api, q2 2027 portable passport x handle → reputation check → free bot → miner app → ZAPs → ??? alone each piece is mid: a free nft, a points app, a reputation score. together they are a points farm where the bot is the multiplier and the last arrow is still blank. bookmark this before the countdown starts. the free mint costs $0 and 1 thing: your social graph. mint it as a free option, or skip until ZAPs have a price?
CONSO RAISED $10M+ FROM IDG CAPITAL TO TURN TELEGRAM INTO A WEB3 TERMINAL. for years crypto talked in Telegram and traded somewhere else. -> now Conso puts both in one client, built on the Telegram API. 5 tools, zero tab switching: ▹ @CONSO_XYZ TELEGRAM TOOLS, ONE BY ONE CA Signals: every contract address dropped across your groups lands in 1 feed. Token Price Card: paste a ticker or CA and the card keeps updating inside the chat. CoinBox: send and claim token red packets without leaving the group. Mini Apps Parallel: several Telegram Mini Apps open at the same time. Conso Points: earned by using the app, planned for governance, tests and voting. The round: $10M+, led by IDG Capital, reported April 23, 2026. What it shows: the alpha was always in the chats. the tools just lived in other tabs. Caveat: Conso Points are points, not a token. treat them as usage credit, not a price. A Telegram group is no longer just a chat. With @conso_xyz it becomes the screener ↓ CA Signals or Price Cards: which one would you actually open first?
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ON FRIDAY TRUMP'S LAWYERS TOLD A JUDGE HE HAD GIVEN THE GOLF COURSE "AT MOST" PRELIMINARY THOUGHT. ON SUNDAY HE POSTED THE ARCHITECT, THE START DATE AND THE RYDER CUP. The course is East Potomac Golf Links, in a national park in Washington. It opened in 1921. Warren Harding was one of its first golfers. It is the busiest public course in the city, the one you can play without being rich. In July 1941, three Black golfers played it escorted by six US Marshals while white crowds jeered. That is the kind of place it is. Now the president wants to rebuild it. For weeks the Justice Department argued in court that there was no plan. Just ideas. Nothing final, nothing a judge could stop. The National Park Service told the court it knew of no formal plan beyond social media posts. Meanwhile hundreds of trees came down. Judge Ana Reyes was furious. "I trusted you all not to do precisely what you have done," she told government lawyers. She said the episode "cost the government all of its credibility." She froze tree cutting through October 26 and ordered three business days' notice before any "irreparable modification." On Friday the administration filed that Trump had given the idea "at most" "preliminary thought." It also asked for Reyes to be removed, citing her "histrionics." On Sunday Trump went on Truth Social. A plan by golf architect Tom Fazio. Work starts November 15. It takes about 15 months. A "World Class Championship Golf Course" fit for the U.S. Open, the PGA Championship, the Ryder Cup and the Presidents Cup. The old course, he wrote, is "old, broken, dilapidated, and of no further use or effect." Within hours the judge ordered the government to say whether it still claims there is no final plan. She called the acting head of the Park Service and Interior's chief of staff to testify under oath on Monday. The story is not really about golf. It is about what happens when a post on social media contradicts a filing in federal court. One of them has to be wrong. The lesson: in court, your own posts are evidence. Refusal to call a plan "hypothetical" while cutting the trees. Refusal to trust "preliminary" when the start date is public. Refusal to forget who the public course was built for. The hearing is Monday. Most people who see the headline will never read the filing.
brands on X are done paying for raw views. Tutti pays creators by effective exposure, and v2 just went live #Tutti is a marketplace between X creators and brands: you pick a campaign, post, submit the link, get paid on tracked exposure + engagement. their site claims 23,763 creators, 139 campaigns, 2,650 posts, 94.0M impressions most creator deals still run on DMs, screenshots and "trust me bro" analytics. Tutti puts the brief, the post and the payout math in one place the idea: you shouldn't need a manager to get paid for a post v2 ships 5 pieces. here's what i'm testing over the next few days: 1. HOME FEED: can i find a campaign that fits my niche in under 1 minute, or is it a wall of briefs 2. CAMPAIGN PAGES: is the payout logic clear before i write a word. "effective exposure" needs a definition, not a vibe 3. STUDIO: draft → submit → approve. how long the review takes and what gets rejected 4. CAMPAIGN GROUPS: a real room of creators boosting each other, or 300 people posting "gm" 5. TUTTI CUE: does it answer a real question about a brief or just repeat the FAQ 6. THE POOL: 70% to originals, 30% to boosts, $100 cap per person. alone a post is a lottery ticket. together a group that boosts each other is a distribution engine
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