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We employ perturbation analysis technique to study multi-asset portfolio optimisation with transaction cost. We allow for correlations in risky assets and obtain optimal trading methods for general utility functions. Our analytical results…

Portfolio Management · Quantitative Finance 2009-05-06 Siu Lung Law , Chiu Fan Lee , Sam Howison , Jeff N. Dewynne

This paper is concerned with an optimal investment problem under correlated noises in the financial market, and the expected utility functional is hyperbolic absolute risk aversion (HARA) with the exponent $\gamma\neq0$. The problem can be…

Optimization and Control · Mathematics 2019-07-12 Le Yang , Yueyang Zheng , Jingtao Shi

This paper explores the optimal investment problem of a renewal risk model with generalized Erlang distributed interarrival times. The phases of the Erlang interarrival time is assumed to be observable. The price of the risky asset is…

Optimization and Control · Mathematics 2025-06-04 Linlin Tian , Yixuan Tian , Bohan Li , Guoqing Li

We consider a stochastic model of investment on an asset of a stock market for a prudent investor. She decides to buy permanent goods with a fraction $\a$ of the maximum amount of money owned in her life in order that her economic level…

Disordered Systems and Neural Networks · Physics 2009-09-25 R. Baviera , M. Pasquini , M. Serva , A. Vulpiani

Motivated by the emergence of popular service-based two-sided markets where sellers can serve multiple buyers at the same time, we formulate and study the {\em two-sided cost sharing} problem. In two-sided cost sharing, sellers incur…

Computer Science and Game Theory · Computer Science 2021-07-14 Sreenivas Gollapudi , Kostas Kollias , Ali Shameli

We combine forward investment performance processes and ambiguity averse portfolio selection. We introduce the notion of robust forward criteria which addresses the issues of ambiguity in model specification and in preferences and…

Portfolio Management · Quantitative Finance 2014-11-17 Sigrid Kallblad , Jan Obloj , Thaleia Zariphopoulou

We consider the problem of the optimal trading strategy in the presence of a price predictor, linear trading costs and a quadratic risk control. The solution is known to be a band system, a policy that induces a no-trading zone in the…

Mathematical Finance · Quantitative Finance 2020-03-18 Joachim de Lataillade , Ayman Chaouki

We introduce a strategic behavior in reinsurance bilateral transactions, where agents choose the risk preferences they will appear to have in the transaction. Within a wide class of risk measures, we identify agents' strategic choices to a…

Risk Management · Quantitative Finance 2020-03-19 Michail Anthropelos , Tim J. Boonen

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a reversible life annuity. The surrender charge of a life annuity is a proportion of its…

Risk Management · Quantitative Finance 2010-01-26 Ting Wang , Virginia R. Young

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

This paper is concerned with the uniqueness issue of open-loop equilibrium investment strategies of dynamic mean-variance portfolio selection problems with random coefficients. A unified method is developed to treat both the problems with…

Optimization and Control · Mathematics 2018-02-06 Tianxiao Wang

Explicit robust hedging strategies for convex or concave payoffs under a continuous semimartingale model with uncertainty and small transaction costs are constructed. In an asymptotic sense, the upper and lower bounds of the cumulative…

Pricing of Securities · Quantitative Finance 2012-01-13 Masaaki Fukasawa

This paper investigates market-consistent valuation of insurance liabilities in the context of, for instance, Solvency II and to some extent IFRS 4. We propose an explicit and consistent framework for the valuation of insurance liabilities…

Pricing of Securities · Quantitative Finance 2011-01-04 Christoph Moehr

We model the impact costs of a strategy that trades a basket of correlated instruments, by extending to the multivariate case the linear propagator model previously used for single instruments. Our specification allows us to calibrate a…

Trading and Market Microstructure · Quantitative Finance 2017-08-23 Iacopo Mastromatteo , Michael Benzaquen , Zoltan Eisler , Jean-Philippe Bouchaud

We study Pareto-optimal risk sharing in economies with heterogeneous attitudes toward risk, where agents' preferences are modeled by distortion risk measures. Building on comonotonic and counter-monotonic improvement results, we show that…

Theoretical Economics · Economics 2025-10-22 Mario Ghossoub , Qinghua Ren , Ruodu Wang

In this paper, we assume an insure is allowed to purchase proportional reinsurance and can invest his or her wealth into the financial market where a savings account, stocks and bonds are available. Different from classical optimal…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

We investigate the optimal investment-reinsurance problem for insurance company with partial information on the market price of the risk. Through the use of filtering techniques we convert the original optimization problem involving…

Portfolio Management · Quantitative Finance 2024-08-15 Claudia Ceci , Katia Colaneri

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

Statistical Finance · Quantitative Finance 2017-07-31 Thomas Schürmann , Ingo Hoffmann
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