Entropy-Maximizing Dynamics of Continuous Markets

التفاصيل البيبلوغرافية
العنوان: Entropy-Maximizing Dynamics of Continuous Markets
المؤلفون: Platen, Eckhard
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - General Mathematics
الوصف: By assuming the existence of the growth optimal portfolio (GOP), the stationarity of GOP-volatilities, and the maximization of relative entropy, the paper applies the benchmark approach to the modeling of the long-term dynamics of continuous markets. It reveals conservation laws, where the GOP is shown to follow a time-transformed squared Bessel process of dimension four. Moreover, it predicts the convergence of the averages of the GOP-volatilities with respect to the driving independent Brownian motions toward a common level.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.09652
رقم الأكسشن: edsarx.2403.09652
قاعدة البيانات: arXiv