@fearless.soul.1: اچھا وقت انسان کو دوسروں سے دور کرنے کا جواز نہیں، کیونکہ وقت کبھی ایک حال پر قائم نہیں رہتا۔ آج جنہیں نظرانداز کیا جا رہا ہے، کل مشکل گھڑی میں انہی کی ضرورت پڑ سکتی ہے؛ اس لیے عروج میں عاجزی اور تعلقات میں قدر شناسی ہی اصل ظرف ہے۔

么 𝐁𝐞𝐁𝐚𝐚𝐤 𝐉𝐮𝐭𝐭 🐊
么 𝐁𝐞𝐁𝐚𝐚𝐤 𝐉𝐮𝐭𝐭 🐊
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Friday 11 September 2026 15:16:14 GMT
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lonewolf62530
LONE WOLF 🐺 :
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2026-09-12 11:06:10
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Azaan Edits 💫 :
AssalamAlaikum Bahi aap editing Kahan se krthe hai
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🐊⚜️جٹ برین sahil 🐺 :
bhai ❤️
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قت کے بدلتے رنگ اور انسان کی اصل پہچان"
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ارسلان کہتے ہیں🚩 :
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➡️ Quantitative Finance from scratch part 12 closes season 1.  Every part was one step in a single story about a bet with an edge, and every number below comes from that part's own run. Part 1, expected value: a $1 bet on red wins 18 times out of 37, so it loses 2.7 cents on average, and over a million bets the casino made $27,288. Part 2, the random walk: coin flips add up to something that looks like a stock chart, and the same edge becomes a drift of 2.7 cents per step. Part 3, the square root rule: after 100 random steps the typical distance is about 10, because randomness grows with the square root of time. Part 4, the bell curve: many small random steps build it, with 68 % of results within one standard deviation. Part 5, returns: percent moves multiply, so after -50 % you need +100 % to get back. Part 6, present value: at 5 % interest, $100 paid in ten years is worth $61.39 today. Part 7, volatility: two investments with the same average swing about 4 % and 32 % a year. Part 8, the Sharpe ratio (William F. Sharpe, 1966): extra return per unit of risk, 0.36 for the wild investment and 0.99 for the calm one. Part 9, volatility drag: +50 % and then -50 % leaves you 25 % down. Part 10, correlation: the less two assets move together, the less a 50/50 mix swings, from 19 % down to 10 %. Part 11, diversification: ten assets cut the risk from 20 % to 12.2 %, above a floor of 11 % that the shared market sets (Markowitz,
➡️ Quantitative Finance from scratch part 12 closes season 1. Every part was one step in a single story about a bet with an edge, and every number below comes from that part's own run. Part 1, expected value: a $1 bet on red wins 18 times out of 37, so it loses 2.7 cents on average, and over a million bets the casino made $27,288. Part 2, the random walk: coin flips add up to something that looks like a stock chart, and the same edge becomes a drift of 2.7 cents per step. Part 3, the square root rule: after 100 random steps the typical distance is about 10, because randomness grows with the square root of time. Part 4, the bell curve: many small random steps build it, with 68 % of results within one standard deviation. Part 5, returns: percent moves multiply, so after -50 % you need +100 % to get back. Part 6, present value: at 5 % interest, $100 paid in ten years is worth $61.39 today. Part 7, volatility: two investments with the same average swing about 4 % and 32 % a year. Part 8, the Sharpe ratio (William F. Sharpe, 1966): extra return per unit of risk, 0.36 for the wild investment and 0.99 for the calm one. Part 9, volatility drag: +50 % and then -50 % leaves you 25 % down. Part 10, correlation: the less two assets move together, the less a 50/50 mix swings, from 19 % down to 10 %. Part 11, diversification: ten assets cut the risk from 20 % to 12.2 %, above a floor of 11 % that the shared market sets (Markowitz, "Portfolio Selection", Journal of Finance, 1952). The big picture: how big the edge is, how much it swings, and how much of that swing you can spread away. Season 2 brings portfolios, bets and evidence. This video is for education only, and nothing in it is financial advice. #quantfinance #finance #riskmanagement #portfolio #probability

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