High Frequency Market Making with Machine Learning. (arXiv:1710.03870v1...
High frequency trading has been characterized as an arms race with 'Red Queen' characteristics [Farmer,2012]. It is improbable, even impossible, that many market participants can sustain a competitive...
View ArticleA 700-seat no-loss composition for the 2019 European Parliament....
The following paper is part of the authors' response to an invitation from the Constitutional Affairs Committee (AFCO) of the European Parliament to advise on mathematical methods for the allocation of...
View ArticleA General Framework for Portfolio Theory. Part I: theory and various models....
Utility and risk are two often competing measurements on the investment success. We show that efficient trade-off between these two measurements for investment portfolios happens, in general, on a...
View ArticleComputational Analysis of the structural properties of Economic and Financial...
In recent years, methods from network science are gaining rapidly interest in economics and finance. A reason for this is that in a globalized world the interconnectedness among economic and financial...
View ArticleUtility maximization problem under transaction costs: optimal dual processes...
This paper discusses the num\'eraire-based utility maximization problem in markets with proportional transaction costs. In particular, the investor is required to liquidate all her position in stock at...
View ArticleStochastic Gradient Descent in Continuous Time: A Central Limit Theorem....
Stochastic gradient descent in continuous time (SGDCT) provides a computationally efficient method for the statistical learning of continuous-time models, which are widely used in science, engineering,...
View ArticleA General Framework for Portfolio Theory. Part II: drawdown risk measures....
The aim of this paper is to provide several examples of convex risk measures necessary for the application of the general framework for portfolio theory of Maier-Paape and Zhu, presented in Part I of...
View ArticleGeometric Learning and Filtering in Finance. (arXiv:1710.05829v1 [q-fin.MF])
We develop a method for incorporating relevant non-Euclidean geometric information into a broad range of classical filtering and statistical or machine learning algorithms. We apply these techniques to...
View ArticleEfficient hedging in Bates model using high-order compact finite differences....
We evaluate the hedging performance of a high-order compact finite difference scheme from [4] for option pricing in Bates model. We compare the scheme's hedging performance to standard finite...
View ArticleRobust Maximum Likelihood Estimation of Sparse Vector Error Correction Model....
In econometrics and finance, the vector error correction model (VECM) is an important time series model for cointegration analysis, which is used to estimate the long-run equilibrium variable...
View ArticleSequential Design and Spatial Modeling for Portfolio Tail Risk Measurement....
We consider calculation of capital requirements when the underlying economic scenarios are determined by simulatable risk factors. In the respective nested simulation framework, the goal is to estimate...
View ArticleDynamic Portfolio Optimization with Looping Contagion Risk....
In this paper we consider a utility maximization problem with defaultable stocks and looping contagion risk. We assume that the default intensity of one company depends on the stock prices of itself...
View ArticleMean Field Game Approach to Production and Exploration of Exhaustible...
In a game theoretic framework, we study energy markets with a continuum of homogenous producers who produce energy from an exhaustible resource such as oil. Each producer simultaneously optimizes...
View ArticleArbitrage-Free Regularization. (arXiv:1710.05114v1 [q-fin.MF])
We introduce a path-dependent geometric framework which generalizes the HJM modeling approach to a wide variety of other asset classes. A machine learning regularization framework is developed with the...
View ArticleNavigating dark liquidity (How Fisher catches Poisson in the Dark)....
In order to reduce signalling, traders may resort to limiting access to dark venues and imposing limits on minimum fill sizes they are willing to trade. However, doing this also restricts the liquidity...
View ArticlePreliminary steps toward a universal economic dynamics for monetary and...
We consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without...
View ArticleDisruptive firms. (arXiv:1710.06132v1 [q-fin.EC])
This study proposes the concept of disruptive firms: they are firms with market leadership that deliberate introduce new and improved generations of durable goods that destroy, directly or indirectly,...
View ArticleSpectral Conditions for Existence and Uniqueness of Recursive Utilities....
We study existence, uniqueness and computability of solutions for a class of discrete time recursive utilities models. By combining two streams of the recent literature on recursive preferences---one...
View ArticleAsymptotic Expansion as Prior Knowledge in Deep Learning Method for high...
We demonstrate that the use of asymptotic expansion as prior knowledge in the "deep BSDE solver", which is a deep learning method for high dimensional BSDEs proposed by Weinan E, Han & Jentzen...
View ArticleThe tipping point: a mathematical model for the profit-driven abandonment of...
The custom of voluntarily tipping for services rendered has gone in and out of fashion in America since its introduction in the 19th century. Restaurant owners that ban tipping in their establishments...
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