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Related papers: Abstract, Classic, and Explicit Turnpikes

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This paper studies the robust portfolio selection problem under a state-dependent confidence set. The investor invests in a financial market with a risk-free asset and a risky asset. The ambiguity-averse investor faces uncertainty over the…

Optimization and Control · Mathematics 2024-10-01 Guohui Guan , Yuting Jia , Zongxia Liang

We introduce a dynamic credit portfolio framework where optimal investment strategies are robust against misspecifications of the reference credit model. The risk-averse investor models his fear of credit risk misspecification by…

Portfolio Management · Quantitative Finance 2016-03-29 Agostino Capponi , Lijun Bo

A quadratic discrete time probabilistic model, for optimal portfolio selection in (re-)insurance is studied. For positive values of underwriting levels, the expected value of the accumulated result is optimized, under constraints on its…

Optimization and Control · Mathematics 2007-05-23 Erik Taflin

In this paper, asymptotic results in a long-term growth rate portfolio optimization model under both fixed and proportional transaction costs are obtained. More precisely, the convergence of the model when the fixed costs tend to zero is…

Portfolio Management · Quantitative Finance 2017-07-07 Sören Christensen , Albrecht Irle , Andreas Ludwig

We study optimal investment in a financial market having a finite number of assets from a signal processing perspective. We investigate how an investor should distribute capital over these assets and when he should reallocate the…

Portfolio Management · Quantitative Finance 2015-06-04 Sait Tunc , Suleyman S. Kozat

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

Portfolio Management · Quantitative Finance 2022-03-08 Masashi Ieda

We study the expected utility portfolio optimization problem in an incomplete financial market where the risky asset dynamics depend on stochastic factors and the portfolio allocation is constrained to lie within a given convex set. We…

Portfolio Management · Quantitative Finance 2023-03-20 Marcos Escobar-Anel , Michel Kschonnek , Rudi Zagst

A discrete time probabilistic model, for optimal equity allocation and portfolio selection, is formulated so as to apply to (at least) reinsurance. In the context of a company with several portfolios (or subsidiaries), representing both…

Optimization and Control · Mathematics 2008-12-02 Erik Taflin

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 consider the estimation of the multi-period optimal portfolio obtained by maximizing an exponential utility. Employing Jeffreys' non-informative prior and the conjugate informative prior, we derive stochastic representations for the…

Statistics Theory · Mathematics 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We treat a fairly broad class of financial models which includes markets with proportional transaction costs. We consider an investor with cumulative prospect theory preferences and a non-negativity constraint on portfolio wealth. The…

Portfolio Management · Quantitative Finance 2019-03-21 Huy N. Chau , Miklos Rasonyi

We study the asymptotic behavior of solutions to linear-quadratic mean field stochastic optimal control problems. By formulating an ergodic control framework, we characterize the convergence between the finite time horizon control problem…

Optimization and Control · Mathematics 2025-10-24 Erhan Bayraktar , Jiamin Jian

The paper develops general, discrete, non-probabilistic market models and minmax price bounds leading to price intervals for European options. The approach provides the trajectory based analogue of martingale-like properties as well as a…

Mathematical Finance · Quantitative Finance 2015-11-06 Sebastian E. Ferrando , Alfredo L. Gonzalez , Ivan L. Degano , Massoome Rahsepar

This paper studies a finite-horizon portfolio selection problem with non-concave terminal utility and proportional transaction costs, in which the commonly used concavification principle for terminal value is no longer applicable. We…

Mathematical Finance · Quantitative Finance 2025-06-04 Shuaijie Qian , Chen Yang

A {log-optimal} portfolio is any portfolio that maximizes the expected logarithmic growth (ELG) of an investor's wealth. This maximization problem typically assumes that the information of the true distribution of returns is known to the…

Optimization and Control · Mathematics 2023-10-16 Chung-Han Hsieh

Turnpikes have recently gained significant research interest in optimal control, since they allow for pivotal insights into the structure of solutions to optimal control problems. So far, mainly steady state solutions which serve as optimal…

Systems and Control · Electrical Eng. & Systems 2020-02-12 Timm Faulwasser , Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

The duality between the robust (or equivalently, model independent) hedging of path dependent European options and a martingale optimal transport problem is proved. The financial market is modeled through a risky asset whose price is only…

Probability · Mathematics 2013-06-19 Yan Dolinsky , H. Mete Soner

Despite half a century of research, there is still no general agreement about the optimal approach to build a robust multi-period portfolio. We address this question by proposing the detrended cluster entropy approach to estimate the…

Portfolio Management · Quantitative Finance 2021-07-06 P. Murialdo , L. Ponta , A. Carbone

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

Portfolio Management · Quantitative Finance 2025-10-01 Vladimir Markov

This paper studies optimal contract design in private market investing, focusing on internal decision making in venture capital and private equity firms. A principal relies on an agent who privately exerts costly due diligence effort and…

Computer Science and Game Theory · Computer Science 2025-12-23 Jussi Keppo , Yingkai Li