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We study the forward investment performance process (FIPP) in an incomplete semimartingale market model with closed and convex portfolio constraints, when the investor's risk preferences are of the power form. We provide necessary and…

Probability · Mathematics 2022-01-27 Lijun Bo , Agostino Capponi , Chao Zhou

We establish existence of Predictable Forward Performance Processes (PFPPs) in complete markets, which has been previously shown only in the binomial setting. Our market model can be a discrete-time or a continuous-time model, and the…

Portfolio Management · Quantitative Finance 2022-09-22 Bahman Angoshtari

We consider the forward investment problem in market models where the stock prices are continuous semimartingales adapted to a Brownian filtration. We construct a broad class of forward performance processes with initial conditions of power…

Mathematical Finance · Quantitative Finance 2020-12-22 Levon Avanesyan , Ronnie Sircar

We consider the problem of optimal portfolio selection under forward investment performance criteria in an incomplete market. The dynamics of the prices of the traded assets depend on a pair of stochastic factors, namely, a slow factor…

Mathematical Finance · Quantitative Finance 2015-09-25 Mykhaylo Shkolnikov , Ronnie Sircar , Thaleia Zariphopoulou

Predictable forward performance processes (PFPPs) are stochastic optimal control frameworks for an agent who controls a randomly evolving system but can only prescribe the system dynamics for a short period ahead. This is a common scenario…

Mathematical Finance · Quantitative Finance 2024-03-26 Bahman Angoshtari , Shida Duan

We propose an optimal portfolio problem in the incomplete market where the underlying assets depend on economic factors with delayed effects, such models can describe the short term forecasting and the interaction with time lag among…

Mathematical Finance · Quantitative Finance 2018-05-04 Shuenn-Jyi Sheu , Li-Hsien Sun , Zheng Zhang

We study a portfolio management problem featuring many-player and mean field competition, investment and consumption, and relative performance concerns under the forward performance processes (FPP) framework. We focus on agents using power…

General Economics · Economics 2022-03-07 Goncalo dos Reis , Vadim Platonov

In this work we investigate the optimal proportional reinsurance-investment strategy of an insurance company which wishes to maximize the expected exponential utility of its terminal wealth in a finite time horizon. Our goal is to extend…

Risk Management · Quantitative Finance 2019-04-04 Matteo Brachetta , Claudia Ceci

We consider a stochastic factor financial model where the asset price process and the process for the stochastic factor depend on an observable Markov chain and exhibit an affine structure. We are faced with a finite time investment horizon…

Portfolio Management · Quantitative Finance 2014-03-21 Marcos Escobar , Daniela Neykova , Rudi Zagst

In this work we introduce a theory of stochastic integration with respect to general cylindrical semimartingales defined on a locally convex space $\Phi$. Our construction of the stochastic integral is based on the theory of tensor products…

Probability · Mathematics 2021-12-06 C. A. Fonseca-Mora

We introduce a simple and tractable methodology for estimating semiparametric conditional latent factor models. Our approach disentangles the roles of characteristics in capturing factor betas of asset returns from ``alpha.'' We construct…

Econometrics · Economics 2025-04-29 Qihui Chen , Nikolai Roussanov , Xiaoliang Wang

This paper deals with forward performances of HARA type. Precisely, for a market model in which stock price processes are modeled by a locally bounded $d$-dimensional semimartingale, we elaborate a complete and explicit characterization for…

General Finance · Quantitative Finance 2013-07-03 Tahir Choulli , Junfeng Ma

We introduce a new class of forward performance processes that are endogenous and predictable with regards to an underlying market information set and, furthermore, are updated at discrete times. We analyze in detail a binomial model whose…

Mathematical Finance · Quantitative Finance 2019-03-20 Bahman Angoshtari , Thaleia Zariphopoulou , Xun Yu Zhou

We introduce predictable relative forward performance processes (PRFPP) as a new framework for studying portfolio management within a competitive and incomplete market environment. Each agent trades a distinct stock following a binomial…

Mathematical Finance · Quantitative Finance 2026-05-08 Gechun Liang , Moris S. Strub , Yuwei Wang

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

Pricing of Securities · Quantitative Finance 2008-12-02 Gordan Zitkovic

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

We study the optimal investment and proportional reinsurance problem of an insurance company, whose investment preferences are described via a forward dynamic utility of exponential type in a stochastic factor model allowing for a possible…

Mathematical Finance · Quantitative Finance 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

This paper studies an optimal forward investment problem in an incomplete market with model uncertainty, in which the underlying stocks depend on the correlated stochastic factors. The uncertainty stems from the probability measure chosen…

Portfolio Management · Quantitative Finance 2021-05-05 Juan Li , Wenqiang Li , Gechun Liang

Modeling wind speed is one of the key element when dealing with the production of energy through wind turbines. A good model can be used for forecasting, site evaluation, turbines design and many other purposes. In this work we are…

Data Analysis, Statistics and Probability · Physics 2015-02-12 G. D'Amico , F. Petroni , F. Prattico

We study the pricing of European-style options written on forward contracts within function-valued infinite-dimensional affine stochastic volatility models. The dynamics of the underlying forward price curves are modeled within the…

Mathematical Finance · Quantitative Finance 2026-04-14 Jian He , Sven Karbach , Asma Khedher
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