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March 15, 2026AxiomsOpen Access

Periodic Asymmetric LogGARCH Stochastic Volatility Models: Structure and Application

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Authors

OAOmar AlzeleyAGAhmed Ghezal

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Overview

New PlogAG-SV model improves parameter estimation and captures stochastic volatility in financial time series, suggesting enhanced modeling for currency rates.

Key Points

  • To introduce and characterize a new periodic volatility model for financial applications.
  • Developed the PlogAG-SV model with stochastic volatility and threshold mechanism.
  • Established conditions for stationarity and moments of the model.
  • Conducted parameter estimation using Monte Carlo simulations.
  • Demonstrated robustness of parameter estimation across varied scenarios.
  • Illustrated effectiveness in modeling the Algerian dinar–euro exchange rate volatility.

Cite This Study

Alzeley et al. (2026) studied this question.

synapsesocial.com/papers/69b606c483145bc643d1d060https://doi.org/10.3390/axioms15030216
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