La Storia Infinita dell'Equazione da 1 TRILIONE di dollari $: da "Re Mida" a BLACK-SCHOLES-MERTON

⭐️Subscribe and get on the spaceship of science ⭐️:    / @yousciences   In this video we tell a story that begins long before Wall Street. We are in ancient Greece, when Thales, observing the stars, sensed that the year would be rich in olives. He did not buy the oil mills: he “opted” them. It was the first rational bet in history. Two thousand years later, a young French mathematician named Louis Bachelier observed the prices on the stock exchange as if they were particles in motion: random, unpredictable, but perhaps describable with mathematics. Thus was born the Théorie de la Spéculation: the first attempt to model the market as a stochastic process, a dance guided by chance. From there, a surprising idea emerges: the price of a stock can be thought of as a random walk, an irregular trajectory like the motion of molecules in a liquid, like Brownian motion. And if the price is a wave of probability, then the value of an option — the right to buy or sell in the future — is also something that can be calculated. Meanwhile, in the 1960s, an American professor with the mind of a mathematician and the blood of a gambler, Edward Thorp, realizes that the same logic with which he beat the casinos at blackjack could be applied to the financial markets. His intuition is brilliant: you can build a dynamic portfolio that, if continuously updated, eliminates risk. But something was still missing: the formula. In 1973, three scholars — Fischer Black, Myron Scholes and Robert Merton — take Thorp's intuitions, combine them with Itô's calculus, the concept of non-arbitrage, and write one of the most important equations in modern finance. An equation that does not predict the future, but teaches how to protect oneself from chaos. This is the story of how risk was brought under control. Not with magic, but with a partial derivative. #blackscholes #quantitativefinance #historyfinance #edwardthorp #bachelier #histochasticprocesses #optiontrading #deltahedging #hedging #mathematicalfinance #thales #blackjack #tradingstrategy #financialoptions #wallstreet #Brownianmotion #gaussian #speculation #financialmarkets #intelligenttrading #quantfinance #pde #stochastic #replicatingportfolio #calloption #optionpricing #noarbitrage #riskneutral #famousformula #contentfinance #yousciences #doctorgiux #giux ⭐️Subscribe and get on the science spaceship ⭐️:    / @yousciences   💖Our Subscribe💖: https://www.yousciences.it/membership/ Where to find me 💎: ➤YOUSCIENCES: https://www.yousciences.it/ ➤OFFICIAL WEBSITE: https://www.giuseppesottile.it/ ➤INSTAGRAM: @yousciences @___giux___ ➤FACEBOOK:   / giuseppe.sottile.56   ➤LINKEDIN:   / giuseppe-sottile-3a8599b0   ➤TELEGRAM: https://t.me/joinchat/abNZYJqE7MVlODA0 ➤TIKTOK: https://www.tiktok.com/@yousciences?l... Other videos by: Various ⚛️:    • Various   📽️ VIDEO STREAM ALL: https://www.yousciences.it/videostream/ https://www.giuseppesottile.it/video.php Chapter Summary 00:00 Ouverture 00:49 King Midas 01:26 Louis Bachelier 02:14 The Mills of Thales 03:41 Option Call 04:09 Alice and Bob 05:10 Strike (K) 07:12 The Price of Options (V) 08:45 Derivatives 10:30 Stochastic Processes 11:10 Efficient Market Hypothesis 11:50 Gaussian 13:10 Equation of the Heat: Diffusion 14:17 Brownian Motion 15:35 Einstein and the Existence of Atoms 16:55 The Drunk 10:30 Theory of Speculation 18:50 Blackjack 20:35 Ed. Thorp's Anomaly 21:34 The Replicating Portfolio (Dynamic Hedging) 24:37 Black-Scholes Merton 27:10 Risk-Free Portfolio Differential 27:50 Itō's Lemma 29:06 Stochastic Differential 31:52 Elimination of Local Brownian Noise 33:26 Coherence Condition 30:14 European Option Call 34:19 Stochastic Differential Geometry 36:00 Finale Executive Production by GIUX