Skip to main content
Erschienen in: Empirical Economics 1/2015

01.08.2015

Asset allocation under higher moments with the GARCH filter

verfasst von: Ryo Kinoshita

Erschienen in: Empirical Economics | Ausgabe 1/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Except for several pairs of utility functions and distribution functions, expected utility maximization problems do not have closed-form solutions so that these problems often require complex numerical optimizations. The paper proposes an approximated solution to this problem using higher moments of returns. Utility functions are approximated by polynomials by the Taylor expansion, and thus, expected utility functions are approximated by linear combinations of moments. With the GARCH effects, a simple approach to estimate conditional higher moments is given. In an empirical study, the strategy is compared to alternative strategies such as mean variance optimization and static optimization.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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 "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!

Literatur
Zurück zum Zitat Adcock C (2010) Asset pricing and portfolio selection based on the multivariate extended skew-student-t distribution. Ann Oper Res 176(1):221–234CrossRef Adcock C (2010) Asset pricing and portfolio selection based on the multivariate extended skew-student-t distribution. Ann Oper Res 176(1):221–234CrossRef
Zurück zum Zitat Ang A, Bekaert G (2002) International asset allocation with regime shifts. Rev Financ Stud 15(4):1137–1187CrossRef Ang A, Bekaert G (2002) International asset allocation with regime shifts. Rev Financ Stud 15(4):1137–1187CrossRef
Zurück zum Zitat Azzalini A, Capitanio A (2003) Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t-distribution. J R Stat Soc Ser B (Stat Methodol) 65(2):367–389CrossRef Azzalini A, Capitanio A (2003) Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t-distribution. J R Stat Soc Ser B (Stat Methodol) 65(2):367–389CrossRef
Zurück zum Zitat Barone-Adesi G, Giannopoulos K, Vosper L (2002) Backtesting derivative portfolios with filtered historical simulation (fhs). Eur Financ Manag 8(1):31–58CrossRef Barone-Adesi G, Giannopoulos K, Vosper L (2002) Backtesting derivative portfolios with filtered historical simulation (fhs). Eur Financ Manag 8(1):31–58CrossRef
Zurück zum Zitat Bauwens L, Laurent S (2005) A new class of multivariate skew densities, with application to generalized autoregressive conditional heteroscedasticity models. J Bus Econ Stat 23(3):346–354CrossRef Bauwens L, Laurent S (2005) A new class of multivariate skew densities, with application to generalized autoregressive conditional heteroscedasticity models. J Bus Econ Stat 23(3):346–354CrossRef
Zurück zum Zitat de Athayde GM, Flores RG Jr (2004) Finding a maximum skewness portfolio-a general solution to three-moments portfolio choice. J Econ Dyn Control 28(7):1335–1352CrossRef de Athayde GM, Flores RG Jr (2004) Finding a maximum skewness portfolio-a general solution to three-moments portfolio choice. J Econ Dyn Control 28(7):1335–1352CrossRef
Zurück zum Zitat Engle R (2002) Dynamic conditional correlation. J Bus Econ Stat 20(3):339–350CrossRef Engle R (2002) Dynamic conditional correlation. J Bus Econ Stat 20(3):339–350CrossRef
Zurück zum Zitat Fleming J, Kirby C, Ostdiek B (2001) The economic value of volatility timing. J Finance 56(1):329–352CrossRef Fleming J, Kirby C, Ostdiek B (2001) The economic value of volatility timing. J Finance 56(1):329–352CrossRef
Zurück zum Zitat Garlappi L, Skoulakis G (2011) Taylor series approximations to expected utility and optimal portfolio choice. Math Financ Econ 5(2):121–156CrossRef Garlappi L, Skoulakis G (2011) Taylor series approximations to expected utility and optimal portfolio choice. Math Financ Econ 5(2):121–156CrossRef
Zurück zum Zitat Glosten LR, Jagannathan R, Runkle DE (1993) On the relation between the expected value and the volatility of the nominal excess return on stocks. J Finance 48(5):1779–1801CrossRef Glosten LR, Jagannathan R, Runkle DE (1993) On the relation between the expected value and the volatility of the nominal excess return on stocks. J Finance 48(5):1779–1801CrossRef
Zurück zum Zitat Guidolin M, Timmermann A (2008) International asset allocation under regime switching, skew, and kurtosis preferences. Rev Financ Stud 21(2):889–935CrossRef Guidolin M, Timmermann A (2008) International asset allocation under regime switching, skew, and kurtosis preferences. Rev Financ Stud 21(2):889–935CrossRef
Zurück zum Zitat Hansen BE (1994) Autoregressive conditional density estimation. Int Econ Rev 35(3):705–730CrossRef Hansen BE (1994) Autoregressive conditional density estimation. Int Econ Rev 35(3):705–730CrossRef
Zurück zum Zitat Harvey CR, Siddique A (1999) Autoregressive conditional skewness. J Financ Quant Anal 34:465–487CrossRef Harvey CR, Siddique A (1999) Autoregressive conditional skewness. J Financ Quant Anal 34:465–487CrossRef
Zurück zum Zitat Harvey CR, Liechty JC, Liechty MW, Muller P (2010) Portfolio selection with higher moments. Quant Finance 10(5):469–485CrossRef Harvey CR, Liechty JC, Liechty MW, Muller P (2010) Portfolio selection with higher moments. Quant Finance 10(5):469–485CrossRef
Zurück zum Zitat Jondeau E, Rockinger M (2003) Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements. J Econ Dyn Control 27(10):1699–1737CrossRef Jondeau E, Rockinger M (2003) Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements. J Econ Dyn Control 27(10):1699–1737CrossRef
Zurück zum Zitat Jondeau E, Rockinger M (2006) Optimal portfolio allocation under higher moments. Eur Financ Manag 12(1):29–55CrossRef Jondeau E, Rockinger M (2006) Optimal portfolio allocation under higher moments. Eur Financ Manag 12(1):29–55CrossRef
Zurück zum Zitat Jondeau E, Rockinger M (2012) On the importance of time variability in higher moments for asset allocation. J Financ Econom 10(1):84–123CrossRef Jondeau E, Rockinger M (2012) On the importance of time variability in higher moments for asset allocation. J Financ Econom 10(1):84–123CrossRef
Zurück zum Zitat Konno H, Shirakawa H, Yamazaki H (1993) A mean–absolute deviation–skewness portfolio optimization model. Ann Oper Res 45(1):205–220CrossRef Konno H, Shirakawa H, Yamazaki H (1993) A mean–absolute deviation–skewness portfolio optimization model. Ann Oper Res 45(1):205–220CrossRef
Zurück zum Zitat Lhabitant FS (1998) On the (ab) use of Taylor series approximations for portfolio selection, portfolio performance and risk management. Working paper, University of Lausanne Lhabitant FS (1998) On the (ab) use of Taylor series approximations for portfolio selection, portfolio performance and risk management. Working paper, University of Lausanne
Zurück zum Zitat Longin F, Solnik B (2001) Extreme correlation of international equity markets. J Finance 56(2):649–676 Longin F, Solnik B (2001) Extreme correlation of international equity markets. J Finance 56(2):649–676
Zurück zum Zitat Markowitz H (1952) Portfolio selection. J Finance 7(1):77–91 Markowitz H (1952) Portfolio selection. J Finance 7(1):77–91
Zurück zum Zitat Mencia J, Sentana E (2009) Multivariate location-scale mixtures of normals and mean–variance–skewness portfolio allocation. J Econom 153(2):105–121CrossRef Mencia J, Sentana E (2009) Multivariate location-scale mixtures of normals and mean–variance–skewness portfolio allocation. J Econom 153(2):105–121CrossRef
Zurück zum Zitat Patton AJ (2004) On the out-of-sample importance of skewness and asymmetric dependence for asset allocation. J Financ Econom 2(1):130–168CrossRef Patton AJ (2004) On the out-of-sample importance of skewness and asymmetric dependence for asset allocation. J Financ Econom 2(1):130–168CrossRef
Zurück zum Zitat Sahu SK, Dey DK, Branco MD (2003) A new class of multivariate skew distributions with applications to bayesian regression models. Can J Stat 31(2):129–150CrossRef Sahu SK, Dey DK, Branco MD (2003) A new class of multivariate skew distributions with applications to bayesian regression models. Can J Stat 31(2):129–150CrossRef
Zurück zum Zitat Tauchen G, Hussey R (1991) Quadrature-based methods for obtaining approximate solutions to nonlinear asset pricing models. Econometrica 59(2):371–396CrossRef Tauchen G, Hussey R (1991) Quadrature-based methods for obtaining approximate solutions to nonlinear asset pricing models. Econometrica 59(2):371–396CrossRef
Metadaten
Titel
Asset allocation under higher moments with the GARCH filter
verfasst von
Ryo Kinoshita
Publikationsdatum
01.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Empirical Economics / Ausgabe 1/2015
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-014-0871-1

Weitere Artikel der Ausgabe 1/2015

Empirical Economics 1/2015 Zur Ausgabe

Premium Partner