Application of GARCH and mean-variance model in the U.S. financial market

Authors

  • Tianqi Mao
  • Ziqian Zhang
  • Yichao Zhao

DOI:

https://doi.org/10.54691/bcpbm.v30i.2445

Keywords:

Portfolio, GARCH, Forecasting, Comparison.

Abstract

How to obtain a high return and face the low-risk investment is a hot topic widely discussed among investors. However, the specific method of targeting the optimal portfolio requires sophisticated mathematical computations. By research, some scholars found that the theory of portfolio helps investors to get a higher return and reduce investment risk. Thus, the aim of this paper is to collect and optimize a selected portfolio—Apple, Google, Netflix, Tesla, and Walmart—by GARCH model and Sharpe ratio, based on the mean returns and correlation matrix, among which Google and Apple are strongly positively correlated to each other, while Walmart, Tesla, and Netflix are weakly positively correlated. The price return of GARCH volatility of each equity shows the stock returns will go down in the next 7 days. We compare the optimal portfolio with NASDAQ composite to find the superiority of our model.

Downloads

Download data is not yet available.

References

Rubinstein, Mark. “Markowitz’s ‘Portfolio Selection’: A Fifty-Year Retrospective.” The Journal of Finance, 2002, 57(3): 1041–45.

Markowitz, H. Portfolio Selection. The Journal of Finance, 1952, 7(1): 77-91.

Zhang, Y., Li, X. Guo, S. Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature. Fuzzy Optim Decis Making, 2018,17: 125–158.

Decision Making: Applications in Management and Engineering, 2020, 3(1)

Bilian Chen, Jingdong Zhong, Yuanyuan Chen, A hybrid approach for portfolio selection with higher-order moments: Empirical evidence from Shanghai Stock Exchange, Expert Systems with Applications, 2020, 145, 113104

Dixit, V., Tiwari, M.K. Project portfolio selection and scheduling optimization based on risk measure: a conditional value at risk approach. Ann Oper Res, 2020, 285: 9–33

Mandelbrot, B. The variation of certain speculative prices. Journal of Business, 1963, 36: 394-419.

Fama, E.F. The behavior of stock-market prices. Journal of Business, 1965, 38: 34-105

Embrechts, P., McNeil, A. and Straumann, D. Correlation: Pitfalls and Alternatives A short, non-technical article, RISK Magazine, 1999, May: 69-71

Hamao, Y., Masulis, R.W. and Ng, V. Correlations in Price Changes and Volatility across International Stock Markets. Review of Financial studies, 1990,3: 281-307

Downloads

Published

2022-10-24

How to Cite

Mao, T., Zhang, Z., & Zhao, Y. (2022). Application of GARCH and mean-variance model in the U.S. financial market. BCP Business & Management, 30, 320-331. https://doi.org/10.54691/bcpbm.v30i.2445