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Empirical evidence suggests that fixed income markets exhibit unspanned stochastic volatility (USV), that is, that one cannot fully hedge volatility risk solely using a portfolio of bonds. While [1] showed that no two-factor…

Mathematical Finance · Quantitative Finance 2018-04-17 Damir Filipović , Martin Larsson , Francesco Statti

The factorization theorem for organizing multiple electroweak boson emissions at future colliders with energy far above the electroweak scale is formulated. Taking the inclusive muon-pair production in electron-positron collisions as an…

High Energy Physics - Phenomenology · Physics 2018-04-04 Yang-Ting Chien , Hsiang-nan Li

We present a methodology for representing probabilistic relationships in a general-equilibrium economic model. Specifically, we define a precise mapping from a Bayesian network with binary nodes to a market price system where consumers and…

Computer Science and Game Theory · Computer Science 2013-02-18 David M. Pennock , Michael P. Wellman

Modeling interactions between features improves the performance of machine learning solutions in many domains (e.g. recommender systems or sentiment analysis). In this paper, we introduce Exponential Machines (ExM), a predictor that models…

Machine Learning · Statistics 2017-12-11 Alexander Novikov , Mikhail Trofimov , Ivan Oseledets

Income and risk coexist, yet investors are often so focused on chasing high returns that they overlook the potential risks that can lead to high losses. Therefore, risk forecasting and risk control is the cornerstone of investment. To…

Applications · Statistics 2023-11-14 Xinyuan Song

We study a two-dimensional McKean-Vlasov stochastic differential equation, whose volatility coefficient depends on the conditional distribution of the second component with respect to the first component. We prove the strong existence and…

Probability · Mathematics 2024-06-21 Scander Mustapha

Higher-order theories of gravity are a branch of modified gravity wherein the geometrodynamics of the four-dimensional Riemannian manifold is determined by field equations involving derivatives of the metric tensor of order higher than two.…

General Relativity and Quantum Cosmology · Physics 2024-04-19 R. R. Cuzinatto , L. G. Medeiros

Let $E$ be an optimal elliptic curve of conductor $N$, such that the $L$-function of $E$ vanishes to order one at $s=1$. Let $K$ be a quadratic imaginary field in which all the primes dividing $N$ split and such that the $L$-function of $E$…

Number Theory · Mathematics 2008-10-30 Amod Agashe

We demonstrate, by a simple analysis, that cosmological line elements related by scale factor duality also exhibit a duality with respect to the conservation/violation of the Weak Energy Condition (WEC) by the matter that acts as the source…

High Energy Physics - Theory · Physics 2016-09-06 Sayan Kar

Using the Donsker-Prokhorov invariance principle we extend the Kim-Stoyanov-Rachev-Fabozzi option pricing model to allow for variably-spaced trading instances, an important consideration for short-sellers of options. Applying the…

Mathematical Finance · Quantitative Finance 2020-11-18 Yuan Hu , Abootaleb Shirvani , W. Brent Lindquist , Frank J. Fabozzi , Svetlozar T. Rachev

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

We consider an equity-linked contract whose payoff depends on the lifetime of policy holder and the stock price. We assume the limited capital for hedging and we provide with the best strategy for an insurance company in the meaning of so…

Risk Management · Quantitative Finance 2014-05-06 Klusik Przemyslaw

Expected Shortfall (ES), also known as superquantile or Conditional Value-at-Risk, has been recognized as an important measure in risk analysis and stochastic optimization, and is also finding applications beyond these areas. In finance, it…

Methodology · Statistics 2022-12-13 Xuming He , Kean Ming Tan , Wen-Xin Zhou

Expected Shortfall (ES) is the average return on a risky asset conditional on the return being below some quantile of its distribution, namely its Value-at-Risk (VaR). The Basel III Accord, which will be implemented in the years leading up…

Economics · Quantitative Finance 2017-07-18 Andrew J. Patton , Johanna F. Ziegel , Rui Chen

In this paper we analyse the five-factor capital market model of Munk et al.(2004). The model features a Vasicek interest rate model, an equity index with mean-reverting excess return and an index for realized inflation with mean-reverting…

Mathematical Finance · Quantitative Finance 2022-01-14 Søren Fiig Jarner , Michael Preisel

Industries learn productivity improvements from their suppliers. The observed empirical importance of these interactions, often omitted by input-output models, mandates larger attention. This article embeds interdependent total factor…

Theoretical Economics · Economics 2023-12-27 Thomas M. Bombarde , Andrew L. Krause

In the analysis of commodity futures, it is commonly assumed that futures prices are driven by two latent factors: short-term fluctuations and long-term equilibrium price levels. In this study, we extend this framework by introducing a…

Statistical Finance · Quantitative Finance 2024-12-10 Peilun He , Gareth W. Peters , Nino Kordzakhia , Pavel V. Shevchenko

This paper employs a weighted network approach to study the empirical properties of the web of trade relationships among world countries, and its evolution over time. We show that most countries are characterized by weak trade links; yet,…

Social and Information Networks · Computer Science 2018-03-21 Maddalena D'Anna , Alfredo Petrosino

We explore a decomposition in which returns on a large class of portfolios relative to the market depend on a smooth non-negative drift and changes in the asset price distribution. This decomposition is obtained using general continuous…

Portfolio Management · Quantitative Finance 2018-10-31 Ricardo T. Fernholz , Caleb Stroup

In this paper, we consider the problem of optimal investment by an insurer. The insurer invests in a market consisting of a bank account and $m$ risky assets. The mean returns and volatilities of the risky assets depend nonlinearly on…

Portfolio Management · Quantitative Finance 2019-03-22 Hiroaki Hata , Shuenn-Jyi Sheu , Li-Hsien Sun