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We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

In this paper, we consider a discrete time economy where we assume that the short term interest rate follows a quadratic term structure of a regime switching asset process. The possible non-linear structure and the fact that the interest…

Pricing of Securities · Quantitative Finance 2013-05-14 Stéphane Goutte

The equivalence between multiportfolio time consistency of a dynamic multivariate risk measure and a supermartingale property is proven. Furthermore, the dual variables under which this set-valued supermartingale is a martingale are…

Risk Management · Quantitative Finance 2018-02-02 Zachary Feinstein , Birgit Rudloff

We consider a risk model with a counting process whose intensity is a Markovian shot-noise process, to resolve one of the disadvantages of the Cram\'er-Lundberg model, namely the constant jump intensity of the Poisson process. Due to this…

Probability · Mathematics 2022-05-11 Simon Pojer , Stefan Thonhauser

This article considers the average optimality for a continuous-time Markov decision process with Borel state and action spaces and an arbitrarily unbounded nonnegative cost rate. The existence of a deterministic stationary optimal policy is…

Optimization and Control · Mathematics 2014-03-05 Yi Zhang

We present a general prediction scheme of failure times based on updating continuously with time the probability for failure of the global system, conditioned on the information revealed on the pre-existing idiosyncratic realization of the…

Materials Science · Physics 2009-11-11 D. Sornette , J. V. Andersen

We obtain an exact necessary and sufficient condition for the existence and uniqueness of equilibrium asset prices in infinite horizon, discrete-time, arbitrage free environments. Through several applications we show how the condition…

General Finance · Quantitative Finance 2021-03-01 Jaroslav Borovicka , John Stachurski

In ruin theory, the net profit condition intuitively means that the incurred random claims on average do not occur more often than premiums are gained. The breach of the net profit condition causes guaranteed ruin in few but simple cases…

Probability · Mathematics 2024-01-08 Andrius Grigutis , Arvydas Karbonskis , Jonas Šiaulys

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by…

Computational Finance · Quantitative Finance 2013-06-28 Jia-Wen Gu , Bo Jiang , Wai-Ki Ching , Harry Zheng

This paper addresses the risk-minimization problem, with and without mortality securitization, \`a la F\"ollmer-Sondermann for a large class of equity-linked mortality contracts when no model for the death time is specified. This framework…

Mathematical Finance · Quantitative Finance 2018-05-31 Tahir Choulli , Catherine Daveloose , Michèle Vanmaele

We consider a spectrally-negative Markov additive process as a model of a risk process in random environment. Following recent interest in alternative ruin concepts, we assume that ruin occurs when an independent Poissonian observer sees…

Probability · Mathematics 2013-10-14 Hansjoerg Albrecher , Jevgenijs Ivanovs

Markets composed of stocks with capitalization processes represented by positive continuous semimartingales are studied under the condition that the market excess growth rate is bounded away from zero. The following examples of these…

Mathematical Finance · Quantitative Finance 2015-12-09 Robert Fernholz

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

Econometrics · Economics 2020-05-20 Samuel Gingras , William J. McCausland

Empirical evidence suggests that even the most competitive markets are not strictly efficient. Price histories can be used to predict near future returns with a probability better than random chance. Many markets can be considered as {\it…

Statistical Mechanics · Physics 2009-10-31 Yi-Cheng Zhang

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

Physics and Society · Physics 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We derive integral tests for the existence and absence of arbitrage in a financial market with one risky asset which is either modeled as stochastic exponential of an Ito process or a positive diffusion with Markov switching. In particular,…

Mathematical Finance · Quantitative Finance 2020-02-13 David Criens

We consider a discrete-time financial market model with finite time horizon and give conditions which guarantee the existence of an optimal strategy for the problem of maximizing expected terminal utility. Equivalent martingale measures are…

Probability · Mathematics 2008-12-10 Miklos Rasonyi , Lukasz Stettner