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This paper studies an $\alpha$-robust utility maximization problem where an investor faces an intractable claim -- an exogenous contingent claim with known marginal distribution but unspecified dependence structure with financial market…

Portfolio Management · Quantitative Finance 2026-04-07 Xinyu Chen , Zuo Quan Xu

In financial markets marked by inherent volatility, extreme events can result in substantial investor losses. This paper proposes a portfolio strategy designed to mitigate extremal risks. By applying extreme value theory, we evaluate the…

Portfolio Management · Quantitative Finance 2024-09-20 Qian Hui , Tiandong Wang

Recurring international financial crises have adverse socioeconomic effects and demand novel regulatory instruments or strategies for risk management and market stabilization. However, the complex web of market interactions often impedes…

Portfolio Management · Quantitative Finance 2009-08-06 Andreas Martin Lisewski

We propose a continuous-time model of trading with heterogeneous beliefs. Risk-neutral agents face quadratic costs-of-carry on positions and thus their marginal valuations decrease with the size of their position, as it would be the case…

Mathematical Finance · Quantitative Finance 2019-07-31 Marcel Nutz , José A. Scheinkman

In the paper we develop mathematical tools of quantile hedging in incomplete market. Those could be used for two significant applications: o calculating the \textbf{optimal capital requirement imposed by Solvency II} (Directive 2009/138/EC…

Risk Management · Quantitative Finance 2016-03-27 Przemysław Klusik

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

We study how trading costs are reflected in equilibrium returns. To this end, we develop a tractable continuous-time risk-sharing model, where heterogeneous mean-variance investors trade subject to a quadratic transaction cost. The…

Portfolio Management · Quantitative Finance 2018-04-06 Bruno Bouchard , Masaaki Fukasawa , Martin Herdegen , Johannes Muhle-Karbe

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

Risk Management · Quantitative Finance 2018-03-02 Andreas Mühlbacher , Thomas Guhr

In this article we show that the payment flow of a linear tax on trading gains from a security with a semimartingale price process can be constructed for all c\`agl\`ad and adapted trading strategies. It is characterized as the unique…

Portfolio Management · Quantitative Finance 2015-07-01 Christoph Kühn , Björn Ulbricht

This paper investigates the investment behaviour of a large unregulated financial institution (FI) with CARA risk preferences. It shows how the FI optimizes its trading to account for market illiquidity using an extension of the…

Mathematical Finance · Quantitative Finance 2016-10-04 T. R. Hurd , Quentin H. Shao , Tuan Tran

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

We consider a market consisting of one safe and one risky asset, which offer constant investment opportunities. Taking into account both proportional transaction costs and linear price impact, we derive optimal rebalancing policies for…

Portfolio Management · Quantitative Finance 2017-09-05 Ren Liu , Johannes Muhle-Karbe , Marko H. Weber

We generalize classical results on the existence of optimal portfolios in discrete time frictionless market models to models with capital gains taxes. We consider the realistic but mathematically challenging rule that losses do not trigger…

Mathematical Finance · Quantitative Finance 2026-02-18 Alexander Dimitrov , Christoph Kühn

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

Pricing of Securities · Quantitative Finance 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

General Finance · Quantitative Finance 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

By capturing outliers, volatility clustering, and tail dependence in the asset return distribution, we build a sophisticated model to predict the downside risk of the global financial market. We further develop a dynamic regime switching…

Econometrics · Economics 2025-06-17 Yin Luo , Sheng Wang , Javed Jussa

We consider a multi-asset incomplete model of the financial market, where each of $m\geq 2$ risky assets follows the binomial dynamics, and no assumptions are made on the joint distribution of the risky asset price processes. We provide…

Mathematical Finance · Quantitative Finance 2024-05-09 Jarek Kędra , Assaf Libman , Victoria Steblovskaya

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

A risk-averse agent hedges her exposure to a non-tradable risk factor $U$ using a correlated traded asset $S$ and accounts for the impact of her trades on both factors. The effect of the agent's trades on $U$ is referred to as cross-impact.…

Mathematical Finance · Quantitative Finance 2020-03-03 Alvaro Cartea , Ryan Donnelly , Sebastian Jaimungal

In the theory of riskfree hedges in continuous time finance, one can start with the delta-hedge and derive the option pricing equation, or one can start with the replicating, self-financing hedging strategy and derive both the delta-hedge…

Statistical Mechanics · Physics 2008-12-10 Joesph L. McCauley