Relative arbitrage: Sharp time horizons and motion by curvature

نویسندگان

چکیده

We characterize the minimal time horizon over which any equity market with stocks and sufficient intrinsic volatility admits relative arbitrage respect to portfolio. If , can be computed explicitly, its value being zero if . characterized via arrival function of a geometric flow unit simplex in that we call minimum curvature flow.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Simulation of Anisotropic Motion by Mean Curvature ––– Comparison of Phase Field and Sharp Interface Approaches

Abstract. Motion by mean curvature is a problem arising in multi-phase thermomechanics and pattern formation. The article presents a numerical comparison of two approaches to the dynamics of closed curves, namely sharp-interface description leading to a degenerate-diffusion equation of slow and fast diffusion types related to anisotropic curve shortening flow, and a diffusive-interface descript...

متن کامل

Diversity and relative arbitrage in equity markets

An equity market is called “diverse” if no single stock is ever allowed to dominate the entire market in terms of relative capitalization. In the context of the standard Itô-process model initiated by Samuelson (1965) we formulate this property (and the allied, successively weaker notions of “weak diversity” and “asymptotic weak diversity”) in precise terms.We show that diversity is possible to...

متن کامل

Calibrating Arbitrage-Free Stochastic Volatility Models by Relative Entropy Method

We develop a new framework to calibrate stochastic volatility option pricing models to an arbitrary prescribed set of prices of liquidly traded options. Our approach produces an arbitrage-free stochastic volatility di usion process that minimizes the distance to a prior di usion model. We use the notion of relative entropy (also known under the name of Kullback-Leibler distance) to quantify the...

متن کامل

Arbitrage with Fractional Brownian Motion

Fractional Brownian motion has been suggested as a model for the movement of log share prices which would allow long-range dependence between returns on different days. While this is true, it also allows arbitrage opportunities, which we demonstrate both indirectly and by constructing such an arbitrage. Nonetheless, it is possible by looking at a process similar to the fractional Brownian motio...

متن کامل

Arbitrage with Fractional Brownian Motion ?

In recent years fractional Brownian motion has been suggested to replace the classical Brownian motion as driving process in the modelling of many real world phenomena, including stock price modelling. In several papers seemingly contradictory results on the existence or absence of a riskless gain (arbitrage) in such stock models have been stated. This survey tries to clarify this issue by poin...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Finance

سال: 2021

ISSN: ['0960-1627', '1467-9965']

DOI: https://doi.org/10.1111/mafi.12303