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Erschienen in:
Introduction to Asset Allocation Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

5. Optimizing the Strategic Asset Allocation

verfasst von : Henrik Lumholdt

Erschienen in: Strategic and Tactical Asset Allocation

Verlag: Springer International Publishing

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Abstract

In the previous chapter, we discussed different approaches to forming expectations about future returns of the main asset classes but made only casual reference to the question of risk. In this chapter, we examine the issue of integrating risk and return, that is, optimizing the SAA. The mechanics of standard mean-variance optimization (MVO) are outlined in the Appendix to the book. Here we will focus on some of the challenges when applying MVO, possible remedies and alternative approaches.

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Vorheriges Kapitel Long-Term Return Expectations
Nächstes Kapitel Factor Investing I
Fußnoten
1
Early work in this field was done by Mandelbrot (1963a, b) and Fama (1965). For an overview of more recent studies, see, for example, Rachev et al. (2005).
 
2
Sample skewness is calculated as \( \frac{n}{\left(n-1\right)\left(n-2\right)}{\sum}_{i=1}^n{\left(\frac{x_i-\overline{x}}{\sigma_s}\right)}^3, \) where n is the number of observations, \( \overline{x} \) is the mean of the sample and σs is the standard deviation of the sample. As n becomes large, this expression can be approximated by \( \frac{1}{n}\kern0.1em {\sum}_{i=1}^n{\left(\frac{x-\overline{x}}{\sigma_s}\right)}^3. \) Excess kurtosis is calculated as \( \frac{n\left(n+1\right)}{\left(n-1\right)\left(n-2\right)\left(n-3\right)}{\sum}_{i=1}^n{\left(\frac{x_i-\overline{x}}{\sigma_s}\right)}^4-3 \) which can be approximated by \( \frac{1}{n}{\sum}_{i=1}^n{\left(\frac{x_i-\overline{x}}{\sigma_s}\right)}^4-3 \) for a large n.
 
3
Corresponding to a one-sided 99.73% confidence interval.
 
4
This value can be calculated in Excel by using the NORMSINV function.
 
5
See also Artzner et al. (1999).
 
6
See further Rockafellar and Uryasev (2002).
 
7
We provide an illustration of how weights are calculated using RP in the note at the end of the chapter.
 
Literatur
Anderson, R., S. Bianchi, and L. Goldberg. 2012. “Will My Risk Parity Strategy Outperform?”, Financial Analysts Journal, 75–93.
Ang, Andrew, and J. Chen. 2002. “Asymmetric Correlations of Equity Portfolios”, Journal of Financial Economics, 63(3), 443–494.CrossRef
Artzner, P., F. Delbaen, J.-M. Eber, and D. Heath. 1999. “Coherent Measures of Risk”, Mathematical Finance, 9, 203–228.CrossRef
Asness, Clifford S., Andrea Frazzini, and Lasse H. Pedersen. 2012. “Leverage Aversion and Risk Parity”, Financial Analysts Journal, January/February, 68(1), 47–59.
Bae, K. H., G. A. Karolyi, and R. M. Stulz. 2003. “A New Approach to Measuring Financial Market Contagion”, Review of Financial Studies, 16, 717–64.CrossRef
Best, Michael J., and Robert G. Grauer. 1991. “On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results”, Review of Financial Studies, 4(2), 315. 28p.
Britten-Jones, Mark. 1999. “The Sampling Error in Estimates of Mean-Variance Efficient Portfolio Weights”, The Journal of Finance, 54(2), 655–671.CrossRef
Broadie, M. 1993. “Computing Efficient Frontiers Using Estimated Parameters”, Annals of Operations Research: Special Issue on Financial Engineering, 45, 21–58.
Chow, G., E. Jacquier, M. Kritzman, and K. Lowry. 1999. “Optimal Portfolios in Good Times and Bad”, Financial Analysts Journal, 55(3), 65–73.CrossRef
DeMiguel, Victor, Lorenzo Garlappi, and Raman Uppal. 2009. “Optimal Versus Naive Diversification: How Inefficient Is the 1/N Portfolio Strategy?”, Review of Financial Studies, 22, 1915–1953.CrossRef
Fama, E. F. 1965. “The Behaviour of Stock-Market Prices”, Journal of Business, 38, 34–105.CrossRef
Kaplan, Paul D. 2009. “Déjà Vu All Over Again”, Morningstar Advisor, (February/March): 29–33.
Kritzman, M., and Y. Li. 2010. “Skulls, Financial Turbulence, and Risk Management”, Financial Analysts Journal, 66, 30–41.CrossRef
Kritzman, M., S. Page, and D. Turkington. 2010. “In Defense of Optimization: The Fallacy of 1/N”, Financial Analysts Journal, 66(2), 31–39.CrossRef
Ledoit, Olivier, and Michael Wolf. 2003. “Improved Estimation of the Covariance Matrix of Stock Returns with an Application to Portfolio Selection”, Journal of Empirical Finance, 10, 603–621.CrossRef
Ledoit, Olivier, and Michael Wolf. 2004. “Honey, I Shrunk the Sample Covariance Matrix – Problems in Mean-Variance Optimization”, Journal of Portfolio Management, 30(4), 110–119.CrossRef
Lintner, John. 1965a. “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets”, Review of Economics and Statistics, February, 47, 13–37.
Lintner, John. 1965b. “Security Prices, Risk and Maximal Gains from Diversification”, Journal of Finance, December, 20, 587–615.
Longin, F. and Solnik, B. 2001. “Extreme correlation of international equity markets”, Journal of Finance, 56(2), 649–676.
Mandelbrot, B. B. 1963a. “New Methods in Statistical Economics”, Journal of Political Economy, 71, 421–40.CrossRef
Mandelbrot, B. B. 1963b. “The Variation of Certain Speculative Prices”, Journal of Business, 36, 394–419.CrossRef
Markowitz, Harry. 1952. “Portfolio Selection”, Journal of Finance, March, 7, 77–91.
Markowitz, Harry. 1959. Portfolio Selection: Efficient Diversifications of Investments. Cowles Foundation. Monograph No. 16. New York: John Wiley & Sons, Inc.
Michaud, R. 1989. “The Markowitz Optimization Enigma: Is Optimization Optimal?” Financial Analysts Journal, 45(1), 31–42.CrossRef
Mossin, Jan. 1966. “Equilibrium in a Capital Asset Market”, Econometrica, October, 35, 768–83.
Rachev, S. T., C. Menn, and F. J. Fabozzi. 2005. “Fat-Tailed and Skewed Asset Distributions”. New York: Wiley.
Rockafellar, T. R., and S. Uryasev 2002. “Conditional Value-at-Risk for General Loss Distribution”, Journal of Banking and Finance, 26(7), 1443–1471.CrossRef
Sharpe, William F. 1964. “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk”, Journal of Finance, September, 19, 425–442.
Treynor, J. L. 1962. “Toward a Theory of Market Value of Risky Assets”, Unpublished manuscript. Final version in Asset Pricing and Portfolio Performance, 1999, ed. Robert A. Korajczyk, 15–22. London: Risk Books.
Xiong, J. X., and T. M. Idzorek. 2011. “The Impact of Skewness and Fat Tails on the Asset Allocation Decision”, Financial Analysts Journal, 67(2), 23–35.CrossRef
Metadaten
Titel
Optimizing the Strategic Asset Allocation
verfasst von
Henrik Lumholdt
Copyright-Jahr
2018
Buch
Strategic and Tactical Asset Allocation

Print ISBN: 978-3-319-89553-6

Electronic ISBN: 978-3-319-89554-3

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-89554-3_5