gjr-garch

ARMA-GARCH

MSGARCH R Package

MSc Finance dissertation project at Newcastle University. This project focused on forecasting the volatility of exchange rates involving the Great British Pound using EWMA, GARCH-type and Implied Volatility models.

This repository of codes includes in the R and Python programs used in the six chapters of my published book titled "Analysis and Forecasting of Financial Time Series: Selected Cases". The book is published by Cambridge Scholars Publishing, New Casle upon Tyne, United Kindoam, in 2022.

GJR-GARCH models with exogenous variance regressors

This project implements an advanced quantitative pipeline to forecast Bitcoin (BTC-USD) Realized Volatility for December 2025.

Simulation and estimation of ARCH and GARCH processes, used to model the time-varying standard deviation (volatility) of asset returns, with conditional distributions such as the normal, Laplace, and Student t.

GARCH estimation with BFGS

Replication package: Volatility Spillovers in Macao's Gaming Economy before and after COVID-19 (International Journal of Economic Performance, 9(1), 113–128, 2026)

Fit GARCH-in-mean models to daily asset class returns using the Python arch package

GARCH estimation using the arch package

Backtesting Median Shortfall and VaR

This project showcases an advanced GARCH implementation in Python, APARCH(1,1). It determines the parameters best defining a stock's returns variance, and then uses these in a Monte Carlo simulation to simulate future returns with asymmetric volatility clustering.

GARCH simulation using only generic Python libraries

Synthetic data and PBO sensitivity in quantitative strategy selection (Master's thesis, UTDT 2026).

End-to-end GARCH-family volatility forecasting and 99% VaR backtesting on S&P 500 returns.

An object-oriented, Walk-Forward quantitative risk engine estimating VaR and Expected Shortfall using a Student-t Copula and GJR-GARCH margins