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➡️ Part 30 of Quantitative Finance From Scratch: the Black-Scholes formula. A call option is the right to buy a stock at a fixed price (the strike) on a fixed date. Fischer Black and Myron Scholes published the formula in 1973 (Journal of Political Economy), Robert Merton derived it another way, and in 1997 Scholes and Merton received the Nobel Memorial Prize in Economic Sciences. Black had died in 1995. C = S N(d1) - K e^(-rt) N(d2), with d1 = [ln(S/K) (r σ²/2) t] / (σ √t) and d2 = d1 - σ √t. S
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➡️ Part 26 of Quantitative Finance From Scratch: the size factor. A company's size on the stock market is its market value, the share price times the number of shares. The classic size portfolio buys the smallest stocks, sells the largest and rebalances once a year. In our simulation (500 simulated stocks, 50 years, assumed numbers) the size portfolio earns 3.0 % a year with a t statistic of 2.21 while the built-in premium is switched on. From an assumed publication year on, the premium is switc
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