全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Optimization of Financial Asset Portfolio Using GARCH-EVT-Copula-CVaR Model

DOI: 10.4236/jmf.2025.153024, PP. 579-615

Keywords: Copula, Regular Vines, C-Vine, D-Vine, Stock Indices, Currency Exchange Rates, Commodities, Tail Dependence, Pair-Copula Constructions, Portfolio Optimization

Full-Text   Cite this paper   Add to My Lib

Abstract:

Since the pioneering work of Markowitz on portfolio theory in 1950s, numerous developments have advanced to improve the original technique of portfolio optimisation. Current research on the topic focuses on integrating models to capture real-world financial characteristics, including volatility clustering, heavy tails, and non-linear dependencies. Portfolio optimisation is a critical aspect of financial risk management, requiring sophisticated models to accurately assess risk and optimise asset allocation. This study implemented an integrated approach utilising Generalised Autoregressive Conditional Heteroskedasticity (GARCH) for volatility estimation, Extreme Value Theory (EVT) for modelling extreme market movements, Copula functions for capturing dependencies between financial assets, and Conditional Value at Risk (CVaR) for robust risk assessment in the portfolio of financial assets. By applying this methodology to a portfolio of financial assets, the empirical results demonstrate that the GARCH-EVT-Copula-CVaR model significantly improves risk estimation, portfolio selection, and optimisation. The empirical results also confirm its superiority over conventional models, highlighting its potential for enhanced risk management and portfolio asset allocation. The integrated model can be recommended for utilisation by stakeholders in the financial markets, investors, and regulators for policy formulation and informed decision-making.

References

[1]  Markowitz, H. (1952) The Utility of Wealth. Journal of Political Economy, 60, 151-158.
https://doi.org/10.1086/257177
[2]  McNeil, A.J. and Frey, R. (2000) Estimation of Tail-Related Risk Measures for Heteroscedastic Financial Time Series: An Extreme Value Approach. Journal of Empirical Finance, 7, 271-300.
https://doi.org/10.1016/s0927-5398(00)00012-8
[3]  Longin, F.M. (2000) From Value at Risk to Stress Testing: The Extreme Value Approach. Journal of Banking & Finance, 24, 1097-1130.
https://doi.org/10.1016/s0378-4266(99)00077-1
[4]  Karmakar, M. (2017) Dependence Structure and Portfolio Risk in Indian Foreign Exchange Market: A GARCH-EVT-Copula Approach. The Quarterly Review of Economics and Finance, 64, 275-291.
https://doi.org/10.1016/j.qref.2017.01.007
[5]  Sklar, M. (1959) Fonctions de repartition an dimensions et leurs marges. Publications de lInstitut de statistique de lUniversité de Paris, 8, 229-231.
[6]  Embrechts, P., McNeil, A.J. and Straumann, D. (2002) Correlation and Dependence in Risk Management: Properties and Pitfalls. In: Dempster, M.A.H., Ed., Risk Management: Value at Risk and beyond, Cambridge University Press, 176-223.
https://doi.org/10.1017/cbo9780511615337.008
[7]  Patton, A.J. (2006) Modelling Asymmetric Exchange Rate Dependence. International Economic Review, 47, 527-556.
https://doi.org/10.1111/j.1468-2354.2006.00387.x
[8]  Zhang, G., Zhang, S., Wang, H., Yew Gan, T., Su, X., Wu, H., et al. (2024) Evaluating Vegetation Vulnerability under Compound Dry and Hot Conditions Using Vine Copula across Global Lands. Journal of Hydrology, 631, Article ID: 130775.
https://doi.org/10.1016/j.jhydrol.2024.130775
[9]  Jeleskovic, V., Latini, C., Younas, Z.I. and Al-Faryan, M.A.S. (2024) Cryptocurrency Portfolio Optimization: Utilizing a Garch-Copula Model within the Markowitz Framework. Journal of Corporate Accounting & Finance, 35, 139-155.
https://doi.org/10.1002/jcaf.22721
[10]  Low, R.K.Y. (2017) Vine Copulas: Modelling Systemic Risk and Enhancing Higher-moment Portfolio Optimisation. Accounting & Finance, 58, 423-463.
https://doi.org/10.1111/acfi.12274
[11]  Phu Nguyen, S. and Luu Duc Huynh, T. (2019) Portfolio Optimization from a Copulas-GJR-GARCH-EVT-Cvar Model: Empirical Evidence from ASEAN Stock Indexes. Quantitative Finance and Economics, 3, 562-585.
https://doi.org/10.3934/qfe.2019.3.562
[12]  Omari, C.O., Mwita, P.N. and Gichuhi, A.W. (2018) Currency Portfolio Risk Measurement with Generalized Autoregressive Conditional Heteroscedastic-Extreme Value Theory-Copula Model. Journal of Mathematical Finance, 8, 457-477.
https://doi.org/10.4236/jmf.2018.82029
[13]  Tamošaitienė, J., Yousefi, V. and Tabasi, H. (2021) Project Portfolio Construction Using Extreme Value Theory. Sustainability, 13, Article No. 855.
https://doi.org/10.3390/su13020855
[14]  Sahamkhadam, M. and Stephan, A. (2023) Portfolio Optimization Based on Forecasting Models Using Vine Copulas: An Empirical Assessment for Global Financial Crises. Journal of Forecasting, 42, 2139-2166.
https://doi.org/10.1002/for.3009
[15]  Bollerslev, T. (1986) Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31, 307-327.
https://doi.org/10.1016/0304-4076(86)90063-1
[16]  Nelson, D.B. (1991) Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59, 347-370.
https://doi.org/10.2307/2938260
[17]  Glosten, L.R., Jagannathan, R. and Runkle, D.E. (1993) On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. The Journal of Finance, 48, 1779-1801.
https://doi.org/10.1111/j.1540-6261.1993.tb05128.x
[18]  Ding, Z., Granger, C.W.J. and Engle, R.F. (1993) A Long Memory Property of Stock Market Returns and a New Model. Journal of Empirical Finance, 1, 83-106.
https://doi.org/10.1016/0927-5398(93)90006-d
[19]  Lee, G.G.J. and Engle, R.F. (1993) A Permanent and Transitory Component Model of Stock Return Volatility.
[20]  Hansen, B.E. (1994) Autoregressive Conditional Density Estimation. International Economic Review, 35, 705-730.
https://doi.org/10.2307/2527081
[21]  Zhu, D. and Galbraith, J.W. (2010) A Generalized Asymmetric Student-Distribution with Application to Financial Econometrics. Journal of Econometrics, 157, 297-305.
https://doi.org/10.1016/j.jeconom.2010.01.013
[22]  Fernández, C. and Steel, M.F.J. (1998) On Bayesian Modeling of Fat Tails and Skewness. Journal of the American Statistical Association, 93, 359-371.
https://doi.org/10.1080/01621459.1998.10474117
[23]  Balkema, A.A. and de Haan, L. (1974) Residual Life Time at Great Age. The Annals of Probability, 2, 792-804.
https://doi.org/10.1214/aop/1176996548
[24]  Pickands III, J. (1975) Statistical Inference Using Extreme Order Statistics. The Annals of Statistics, 3, 119-131.
[25]  Bedford, T. and Cooke, R.M. (2002) Vines—A New Graphical Model for Dependent Random Variables. The Annals of Statistics, 30, 1031-1068.
https://doi.org/10.1214/aos/1031689016
[26]  Brechmann, E.C. (2010) Truncated and Simplified Regular Vines and Their Applications. Diploma Thesis, University of Technology.
[27]  Joe, H. (1996) Families of m-Variate Distributions with Given Margins and m(m-1)/2 Bivariate Dependence Parameters. In: Ruschendorf, L., Schweizer, B. and Taylor, M.D., Eds., Distributions with Fixed Marginals and Related Topics, Volume 28, Institute of Mathematical Statistics, 120-141.
https://doi.org/10.1214/lnms/1215452614
[28]  Aas, K., Czado, C., Frigessi, A. and Bakken, H. (2009) Pair-Copula Constructions of Multiple Dependence. Insurance: Mathematics and Economics, 44, 182-198.
https://doi.org/10.1016/j.insmatheco.2007.02.001

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133