Q-Gaussian diffusion in stock markets

التفاصيل البيبلوغرافية
العنوان: Q-Gaussian diffusion in stock markets
المؤلفون: Fernando, Alonso-Marroquin, Karina, Arias-Calluari, Michael, Harre, N., Najafi Morteza, J, Herrmann Hans
سنة النشر: 2019
المجموعة: Quantitative Finance
مصطلحات موضوعية: Quantitative Finance - Statistical Finance, 82C05 and 82C31
الوصف: We analyze the Standard & Poor's 500 stock market index from the last 22 years. The probability density function of price returns exhibits two well-distinguished regimes with self-similar structure: the first one displays strong super-diffusion together with short-time correlations, and the second one corresponds to weak super-diffusion with weak time correlations. Both regimes are well-described by q-Gaussian distributions. The porous media equation is used to derive the governing equation for these regimes, and the Black-Scholes diffusion coefficient is explicitly obtained from the governing equation.
Comment: Field of study: Condensed-matter physics, 5 pages and 4 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1902.10500
رقم الأكسشن: edsarx.1902.10500
قاعدة البيانات: arXiv