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Advanced Statistical Applications in Financial Econometrics, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E5: Financial Mathematics".

Deadline for manuscript submissions: closed (20 March 2026) | Viewed by 1348

Special Issue Editor

Special Issue Information

Dear Colleagues,

You are warmly invited to make contributions to this Special Issue on “Advanced Statistical Applications in Financial Econometrics, 2nd Edition” in the journal Mathematics. The field of financial econometrics is broad and complex, with many challenging problems emerging as technology advances. In recent years, it has attracted growing interest from researchers worldwide. This Special Issue will highlight original contributions addressing challenges in advanced statistical applications in financial econometrics, including regime-switching modeling, portfolio optimization, asset allocation, risk analysis, financial contagion analysis, machine learning, and stochastic process models.

Prof. Dr. Yuehua Wu
Guest Editor

Manuscript Submission Information

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Keywords

  • financial econometrics
  • risk analysis
  • financial contagion analysis
  • change-point analysis
  • regime-switching modeling
  • portfolio optimization
  • asset allocation
  • machine learning
  • stochastic process models
  • Markov chains/processes

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Published Papers (1 paper)

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Research

21 pages, 517 KB  
Article
Finite-Horizon Optimal Consumption and Investment with Upper and Lower Constraints on Consumption
by Geonwoo Kim and Junkee Jeon
Mathematics 2025, 13(22), 3598; https://doi.org/10.3390/math13223598 - 10 Nov 2025
Viewed by 923
Abstract
We study a finite-horizon optimal consumption and investment problem in a complete continuous-time market where consumption is restricted within fixed upper and lower bounds. Assuming constant relative risk aversion (CRRA) preferences, we employ the dual-martingale approach to reformulate the problem and derive closed-form [...] Read more.
We study a finite-horizon optimal consumption and investment problem in a complete continuous-time market where consumption is restricted within fixed upper and lower bounds. Assuming constant relative risk aversion (CRRA) preferences, we employ the dual-martingale approach to reformulate the problem and derive closed-form integral representations for the dual value function and its derivatives. These results yield explicit feedback formulas for the optimal consumption, portfolio allocation, and wealth processes. We establish the duality theorem linking the primal and dual value functions and verify the regularity and convexity properties of the dual solution. Our results show that the upper and lower consumption bounds transform the linear Merton rule into a piecewise policy: consumption equals L when wealth is low, follows the unconstrained Merton ratio in the interior region, and is capped at H when wealth is high. Full article
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