No-Arbitrage Symmetries

التفاصيل البيبلوغرافية
العنوان: No-Arbitrage Symmetries
المؤلفون: Degano, I. L., Ferrando, S. E., Gonzalez, A. L.
سنة النشر: 2020
المجموعة: Quantitative Finance
مصطلحات موضوعية: Quantitative Finance - Mathematical Finance
الوصف: The no-arbitrage property is widely accepted to be a centerpiece of modern financial mathematics and could be considered to be a financial law applicable to a large class of (idealized) markets. The paper addresses the following basic question: can one characterize the class of transformations that leave the law of no-arbitrage invariant? We provide a geometric formalization of this question in a non probabilistic setting of discrete time, the so-called trajectorial models. The paper then characterizes, in a local sense, the no-arbitrage symmetries and illustrates their meaning in a detailed example. Our context makes the result available to the stochastic setting as a special case
Comment: 35 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2008.06184
رقم الأكسشن: edsarx.2008.06184
قاعدة البيانات: arXiv