تقرير
Q-Gaussian diffusion in stock markets
العنوان: | Q-Gaussian diffusion in stock markets |
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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 |
الوصف غير متاح. |