Antoni SmolskiTail options pricing under power law (with code)The Black-Scholes model assumes normality and and stable variance (2nd and higher moments existing). But what if the volatility changes andAug 15Aug 15
Antoni SmolskiOptions’ Implied Probability (with code): Risk-Neutral Densities modelling – Covid exampleApr 172Apr 172
Antoni SmolskiOptions’ Implied Probability: A Dive into Risk-Neutral DensitiesIn this article, I will describe the method of retrieving the options’ implied probability from option prices. The result will be…Jan 62Jan 62
Antoni SmolskiCrank-Nicholson (Finite Difference) with Black-Scholes (with code)In this article, I’m diving into applying the Black-Scholes formula using the Implicit Crank-Nicholson Finite Difference Method. The method…Dec 30, 20231Dec 30, 20231
Antoni SmolskiChina CNY/CNH Spread Arbitrage with GARCH (code included)Foreign exchange markets are pivotal in facilitating global economic activities, playing a fundamental role in trade, investment, and…Dec 1, 2023Dec 1, 2023
Antoni SmolskiPricing Options with Fast Fourier Transform (FFT) — Heston, Variance-Gamma and Black-Scholes (with…In this article, I’ll show how you can value options with Fast Fourier Transform (FFT). The concepts and part of the code, that I’ll…Nov 20, 2023Nov 20, 2023
Antoni SmolskiExplicit Finite Difference Method with Black-Scholes Formula (with code)This is my first article from the series about options pricing and volatility modeling. I will try to show the concepts in the most…Nov 18, 20231Nov 18, 20231
