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We discuss the asymptotic behaviour of risk-based indifference prices of European contingent claims in discrete-time financial markets under volatility uncertainty as the number of intermediate trading periods tends to infinity. The…

Mathematical Finance · Quantitative Finance 2024-11-04 Jonas Blessing , Michael Kupper , Alessandro Sgarabottolo

We present assume-guarantee contracts for continuous-time linear dynamical systems with inputs and outputs. These contracts are used to express specifications on the dynamic behaviour of a system. Contrary to existing approaches, we use…

Dynamical Systems · Mathematics 2022-09-07 B. M. Shali , H. M. Heidema , A. J. van der Schaft , B. Besselink

Natural hedging allows life insurers to manage longevity risk internally by offsetting the opposite exposures of life insurance and annuity liabilities. Although many studies have proposed natural hedging strategies under different…

Risk Management · Quantitative Finance 2025-10-22 Lydia J. Gabric , Kenneth Q. Zhou

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we…

Optimization and Control · Mathematics 2018-06-06 Kerem Ugurlu

We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume…

Risk Management · Quantitative Finance 2015-04-01 Gechun Liang , Eva Lütkebohmert , Wei Wei

The paper concerns primal and dual representations as well as time consistency of set-valued dynamic risk measures. Set-valued risk measures appear naturally when markets with transaction costs are considered and capital requirements can be…

Risk Management · Quantitative Finance 2014-05-22 Zachary Feinstein , Birgit Rudloff

Risk aversion is a common behavior universal to humans and animals alike. Economists have traditionally defined risk preferences by the curvature of the utility function. Psychologists and behavioral economists also make use of concepts…

Populations and Evolution · Quantitative Biology 2015-11-18 Arend Hintze , Randal S. Olson , Christoph Adami , Ralph Hertwig

It is well-known that Excess-of-Loss reinsurance has more marketability than Stop-Loss reinsurance, though Stop-Loss reinsurance is the most prominent setting discussed in the optimal (re)insurance design literature. We point out that…

Applications · Statistics 2024-05-02 Ernest Aboagye , Vali Asimit , Tsz Chai Fung , Liang Peng , Qiuqi Wang

We introduce a way to compare actions in decision problems. One action is safer than another if the set of beliefs at which the decision-maker prefers the safer action expands as the decision-maker becomes more risk averse. We provide a…

Theoretical Economics · Economics 2026-02-19 Marilyn Pease , Mark Whitmeyer

We present an analytical model to study the role of expectation feedbacks and overlapping portfolios on systemic stability of financial systems. Building on [Corsi et al., 2016], we model a set of financial institutions having Value at Risk…

General Economics · Economics 2018-07-23 Piero Mazzarisi , Fabrizio Lillo , Stefano Marmi

This paper motivates the views that for complex systems, risk should be controlled by enforcing constraints in a modular way at different system levels, that the constraints can be expressed as assurance contracts and that acceptable risk…

Logic in Computer Science · Computer Science 2025-08-21 Dag McGeorge , Jon Arne Glomsrud

We consider the risk sharing problem for capital requirements induced by capital adequacy tests and security markets. The agents involved in the sharing procedure may be heterogeneous in that they apply varying capital adequacy tests and…

Risk Management · Quantitative Finance 2018-09-27 Felix-Benedikt Liebrich , Gregor Svindland

This paper investigates a novel behavioral feature of recursive preferences: aversion to risks that persist over time, or simply \textit{correlation aversion}. Greater persistence provides information about future consumption but reduces…

Theoretical Economics · Economics 2026-03-24 Lorenzo Maria Stanca

In recent years, multi-factor strategies have gained increasing popularity in the financial industry, as they allow investors to have a better understanding of the risk drivers underlying their portfolios. Moreover, such strategies promise…

Statistical Finance · Quantitative Finance 2021-11-12 Gabriele D'Acunto , Paolo Bajardi , Francesco Bonchi , Gianmarco De Francisci Morales

This paper considers a newly delayed reinsurance and investment optimization problem incorporating random risk aversion, in which an insurer pursues maximization of the expected certainty equivalent of her/his terminal wealth and the…

Optimization and Control · Mathematics 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

Climate adaptation could yield significant benefits. However, the uncertainty of which future climate scenarios will occur decreases the feasibility of proactively adapting. Climate adaptation projects could be underwritten by benefits paid…

General Finance · Quantitative Finance 2022-07-06 John Nay

Securities lending is an important part of the financial market structure, where agent lenders help long term institutional investors to lend out their securities to short sellers in exchange for a lending fee. Agent lenders within the…

Trading and Market Microstructure · Quantitative Finance 2024-10-08 Jing Xu , Yung-Cheng Hsu , William Biscarri

We characterize when a convex risk measure associated to a law-invariant acceptance set in $L^\infty$ can be extended to $L^p$, $1\leq p<\infty$, preserving finiteness and continuity. This problem is strongly connected to the statistical…

Risk Management · Quantitative Finance 2014-01-15 Pablo Koch-Medina , Cosimo Munari

In the highly complex and stochastic global, supply chain environments, local enterprise agents seek distributed and dynamic strategies for agile responses to disruptions. Existing literature explores both centralized and distributed…

Multiagent Systems · Computer Science 2025-07-28 Mingjie Bi , Juan-Alberto Estrada-Garcia , Dawn M. Tilbury , Siqian Shen , Kira Barton

This paper analyses how risk-taking behaviour and preferences over consumption rank can emerge as a neutrally stable equilibrium when individuals face an anti-coordination task. If in an otherwise homogeneous society information about…

Theoretical Economics · Economics 2023-03-07 Manuel Staab
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