Skip to main content
Top

2013 | OriginalPaper | Chapter

On Portfolio Allocation: A Comparison of Using Low-Frequency and High-Frequency Financial Data

Authors : Jian Zou, Hui Huang

Published in: Topics in Applied Statistics

Publisher: Springer New York

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Portfolio allocation is one of the most fundamental problems in finance. The process of determining the optimal mix of assets to hold in the portfolio is a very important issue in risk management. It involves dividing an investment portfolio among different assets based on the volatilities of the asset returns. In the recent decades, it gains popularity to estimate volatilities of asset returns based on high-frequency data in financial economics. However there is always a debate on when and how do we gain from using high-frequency data in portfolio optimization. This paper starts with a review on portfolio allocation and high-frequency financial time series. Then we introduce a new methodology to carry out efficient asset allocations using regularization on estimated integrated volatility via intra-day high-frequency data. We illustrate the methodology by comparing the results of both low-frequency and high-frequency price data on stocks traded in New York Stock Exchange over a period of 209 days in 2010. The numerical results show that portfolios constructed using high-frequency approach generally perform well by pooling together the strengths of regularization and estimation from a risk management perspective.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Andersen, T. G., Bollerslev, T., Diebold, F. X., and Labys, P. (2001). The distribution of realized exchange rate volatility. J. Amer. Statist. Assoc., 96(453):42–55.MathSciNetCrossRefMATH Andersen, T. G., Bollerslev, T., Diebold, F. X., and Labys, P. (2001). The distribution of realized exchange rate volatility. J. Amer. Statist. Assoc., 96(453):42–55.MathSciNetCrossRefMATH
go back to reference Barndorff-Nielsen, O. E., Hansen, P. R., Lunde, A., and Shephard, N. (2008). Designing realized kernels to measure the ex post variation of equity prices in the presence of noise. Econometrica, 76(6):1481–1536.MathSciNetCrossRefMATH Barndorff-Nielsen, O. E., Hansen, P. R., Lunde, A., and Shephard, N. (2008). Designing realized kernels to measure the ex post variation of equity prices in the presence of noise. Econometrica, 76(6):1481–1536.MathSciNetCrossRefMATH
go back to reference Barndorff-Nielsen, O. E. and Shephard, N. (2002). Econometric analysis of realized volatility and its use in estimating stochastic volatility models. J. R. Stat. Soc. Ser. B Stat. Methodol., 64(2):253–280.MathSciNetCrossRefMATH Barndorff-Nielsen, O. E. and Shephard, N. (2002). Econometric analysis of realized volatility and its use in estimating stochastic volatility models. J. R. Stat. Soc. Ser. B Stat. Methodol., 64(2):253–280.MathSciNetCrossRefMATH
go back to reference Barndorff-Nielsen, O. E. and Shephard, N. (2004). Econometric analysis of realized covariation: high frequency based covariance, regression, and correlation in financial economics. Econometrica, 72(3):885–925.MathSciNetCrossRefMATH Barndorff-Nielsen, O. E. and Shephard, N. (2004). Econometric analysis of realized covariation: high frequency based covariance, regression, and correlation in financial economics. Econometrica, 72(3):885–925.MathSciNetCrossRefMATH
go back to reference Fan, J., Li, Y., and Yu, K. (2012a). Vast volatility matrix estimation using high frequency data for portfolio selection. J. Am. Stat. Assoc. To appear. Fan, J., Li, Y., and Yu, K. (2012a). Vast volatility matrix estimation using high frequency data for portfolio selection. J. Am. Stat. Assoc. To appear.
go back to reference Fan, J. and Wang, Y. (2007). Multi-scale jump and volatility analysis for high-frequency financial data. J. Amer. Statist. Assoc., 102(480):1349–1362.MathSciNetCrossRefMATH Fan, J. and Wang, Y. (2007). Multi-scale jump and volatility analysis for high-frequency financial data. J. Amer. Statist. Assoc., 102(480):1349–1362.MathSciNetCrossRefMATH
go back to reference Fan, J., Zhang, J., and Yu, K. (2012b). Asset allocation and risk assessment with gross exposure constraints for vast portfolios. J. Am. Stat. Assoc.To Appear. Fan, J., Zhang, J., and Yu, K. (2012b). Asset allocation and risk assessment with gross exposure constraints for vast portfolios. J. Am. Stat. Assoc.To Appear.
go back to reference Hayashi, T. and Yoshida, N. (2005). On covariance estimation of non-synchronously observed diffusion processes. Bernoulli, 11(2):359–379.MathSciNetCrossRefMATH Hayashi, T. and Yoshida, N. (2005). On covariance estimation of non-synchronously observed diffusion processes. Bernoulli, 11(2):359–379.MathSciNetCrossRefMATH
go back to reference Jagannathan, R. and Ma, T. (2003). Risk reduction in large portfolios: Why imposing the wrong constraints helps. Journal of Finance, 58:1651–1684.CrossRef Jagannathan, R. and Ma, T. (2003). Risk reduction in large portfolios: Why imposing the wrong constraints helps. Journal of Finance, 58:1651–1684.CrossRef
go back to reference Mancino, M. E. and Sanfelici, S. (2008). Robustness of Fourier estimator of integrated volatility in the presence of microstructure noise. Comput. Statist. Data Anal., 52(6):2966–2989.MathSciNetCrossRefMATH Mancino, M. E. and Sanfelici, S. (2008). Robustness of Fourier estimator of integrated volatility in the presence of microstructure noise. Comput. Statist. Data Anal., 52(6):2966–2989.MathSciNetCrossRefMATH
go back to reference Markowitz, H. (1959). Portfolio Selection: Ecient Diversication of Investments. John Wiley & Sons, New York. Markowitz, H. (1959). Portfolio Selection: Ecient Diversication of Investments. John Wiley & Sons, New York.
go back to reference Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7:77–91. Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7:77–91.
go back to reference Sharpe, W. F. (1966). Mutual fund performance. Journal of Business, 39(1):119–138. Sharpe, W. F. (1966). Mutual fund performance. Journal of Business, 39(1):119–138.
go back to reference Tao, M., Wang, Y., Yao, Q., and Zou, J. (2011). Large volatility matrix inference via combining low-frequency and high-frequency approaches. J. Amer. Statist. Assoc., 106(495):1025–1040.MathSciNetCrossRefMATH Tao, M., Wang, Y., Yao, Q., and Zou, J. (2011). Large volatility matrix inference via combining low-frequency and high-frequency approaches. J. Amer. Statist. Assoc., 106(495):1025–1040.MathSciNetCrossRefMATH
go back to reference Zhang, L. (2006). Efficient estimation of stochastic volatility using noisy observations: a multi-scale approach. Bernoulli, 12(6):1019–1043.MathSciNetCrossRefMATH Zhang, L. (2006). Efficient estimation of stochastic volatility using noisy observations: a multi-scale approach. Bernoulli, 12(6):1019–1043.MathSciNetCrossRefMATH
go back to reference Zhang, L., Mykland, P. A., and Aït-Sahalia, Y. (2005). A tale of two time scales: determining integrated volatility with noisy high-frequency data. J. Amer. Statist. Assoc., 100(472):1394–1411.MathSciNetCrossRefMATH Zhang, L., Mykland, P. A., and Aït-Sahalia, Y. (2005). A tale of two time scales: determining integrated volatility with noisy high-frequency data. J. Amer. Statist. Assoc., 100(472):1394–1411.MathSciNetCrossRefMATH
go back to reference Zou, J. and Wu, Y. (2012). Large portfolio allocation using high-frequency financial data. Manuscript. Zou, J. and Wu, Y. (2012). Large portfolio allocation using high-frequency financial data. Manuscript.
Metadata
Title
On Portfolio Allocation: A Comparison of Using Low-Frequency and High-Frequency Financial Data
Authors
Jian Zou
Hui Huang
Copyright Year
2013
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-7846-1_2

Premium Partner