메뉴 건너뛰기




Volumn 19, Issue 4, 2009, Pages 639-667

Enhancement of the applicability of markowitz's portfolio optimization by utilizing random matrix theory

Author keywords

Bootstrap method; Large random matrix; Mean variance optimization; Optimal portfolio allocation

Indexed keywords


EID: 72449189786     PISSN: 09601627     EISSN: 14679965     Source Type: Journal    
DOI: 10.1111/j.1467-9965.2009.00383.x     Document Type: Article
Times cited : (142)

References (64)
  • 1
    • 0039147416 scopus 로고    scopus 로고
    • Variable selection for portfolio choice
    • Aït Sahalia, Y., and M. Brandt (2001 Variable Selection for Portfolio Choice, J. Finance 56, 1297 1351. (Pubitemid 33585009)
    • (2001) Journal of Finance , vol.56 , Issue.4 , pp. 1297-1351
    • Ait-Sahalia, Y.1    Brandt, M.W.2
  • 2
    • 0347989448 scopus 로고    scopus 로고
    • Methodologies in Spectral Analysis of Large Dimensional Random Matrices, A Review
    • Bai, Z. D. (1999 Methodologies in Spectral Analysis of Large Dimensional Random Matrices, A Review, Stat. Sinica 9, 611 677.
    • (1999) Stat. Sinica , vol.9 , pp. 611-677
    • Bai, Z.D.1
  • 3
    • 22044453079 scopus 로고    scopus 로고
    • No Eigenvalues outside the Support of the Limiting Spectral Distribution of Large Dimensional Sample Covariance Matrices
    • Bai, Z. D., and J. W. Silverstein (1998 No Eigenvalues outside the Support of the Limiting Spectral Distribution of Large Dimensional Sample Covariance Matrices, Ann. Probab. 26 (1 316 345.
    • (1998) Ann. Probab. , vol.26 , Issue.1 , pp. 316-345
    • Bai, Z.D.1    Silverstein, J.W.2
  • 4
    • 0033164056 scopus 로고    scopus 로고
    • Exact Separation of Eigenvalues of Large Dimensional Sample Covariance Matrices
    • Bai, Z. D., and J. W. Silverstein (1999 Exact Separation of Eigenvalues of Large Dimensional Sample Covariance Matrices, Ann. Probab. 27 (3 1536 1555.
    • (1999) Ann. Probab. , vol.27 , Issue.3 , pp. 1536-1555
    • Bai, Z.D.1    Silverstein, J.W.2
  • 5
    • 2142823889 scopus 로고    scopus 로고
    • CLT for Linear Spectral Statistics of Large-Dimensional Sample Covariance Matrices
    • Bai, Z. D., and J. W. Silverstein (2004 CLT for Linear Spectral Statistics of Large-Dimensional Sample Covariance Matrices, Ann. Probab. 32 (1A 553 605.
    • (2004) Ann. Probab. , vol.32 , Issue.1 A , pp. 553-605
    • Bai, Z.D.1    Silverstein, J.W.2
  • 6
    • 0001758959 scopus 로고
    • Limit of the Smallest Eigenvalue of Large Dimensional Covariance Matrix
    • Bai, Z. D., and Y. Q. Yin (1993 Limit of the Smallest Eigenvalue of Large Dimensional Covariance Matrix, Ann. Probab. 21, 1275 1294.
    • (1993) Ann. Probab. , vol.21 , pp. 1275-1294
    • Bai, Z.D.1    Yin, Y.Q.2
  • 8
    • 51549106256 scopus 로고    scopus 로고
    • Asymptotics of Eigenvectors of Large Sample Covariance Matrix
    • Bai, Z. D., B. Q. Miao, and G. M. Pan (2007 Asymptotics of Eigenvectors of Large Sample Covariance Matrix, Ann. Probab. 35 (4 1532 1572.
    • (2007) Ann. Probab. , vol.35 , Issue.4 , pp. 1532-1572
    • Bai, Z.D.1    Miao, B.Q.2    Pan, G.M.3
  • 9
    • 0001183078 scopus 로고
    • On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results
    • Best, M. J., and R. R. Grauer (1991 On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results, Rev. Finan. Stud. 4 (2 315 342.
    • (1991) Rev. Finan. Stud. , vol.4 , Issue.2 , pp. 315-342
    • Best, M.J.1    Grauer, R.R.2
  • 10
    • 0000699975 scopus 로고
    • A Comparison of Stable and Student Distribution as Statistical Models for Stock Prices
    • Blattberg, R. C., and N. J. Gonedes (1974 A Comparison of Stable and Student Distribution as Statistical Models for Stock Prices, J. Bus. 47, 244 280.
    • (1974) J. Bus. , vol.47 , pp. 244-280
    • Blattberg, R.C.1    Gonedes, N.J.2
  • 11
    • 0038851310 scopus 로고    scopus 로고
    • The Sampling Error in Estimates of Mean-Variance Efficient Portfolio Weights
    • Britten-Jones, M. (1999 The Sampling Error in Estimates of Mean-Variance Efficient Portfolio Weights, J. Finance 54 (2 655 671.
    • (1999) J. Finance , vol.54 , Issue.2 , pp. 655-671
    • Britten-Jones, M.1
  • 12
    • 24044525445 scopus 로고
    • The Portfolio Choice Problem: Comparison of Certainty Equivalence and Optimal Bayes Portfolios
    • Brown, S. J. (1978 The Portfolio Choice Problem: Comparison of Certainty Equivalence and Optimal Bayes Portfolios, Commun. Stat. Simul. Comput. 7, 321 334.
    • (1978) Commun. Stat. Simul. Comput. , vol.7 , pp. 321-334
    • Brown, S.J.1
  • 13
  • 14
    • 0000904974 scopus 로고
    • The Structure of Investor Preferences and Asset Returns, and Separability in Portfolio Allocation: A Contribution to the Pure Theory of Mutual Funds
    • Cass, D., and J. E. Stiglitz (1970 The Structure of Investor Preferences and Asset Returns, and Separability in Portfolio Allocation: A Contribution to the Pure Theory of Mutual Funds, J. Econ. Theory 2 (2 122 160.
    • (1970) J. Econ. Theory , vol.2 , Issue.2 , pp. 122-160
    • Cass, D.1    Stiglitz, J.E.2
  • 15
    • 0000346734 scopus 로고
    • A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices
    • Clark, P. K. (1973 A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices, Econometrica 37, 135 155.
    • (1973) Econometrica , vol.37 , pp. 135-155
    • Clark, P.K.1
  • 16
    • 0001113653 scopus 로고
    • An Empirical Evaluation of Alternative Portfolio-Selection Models
    • Cohen, K. J., and J. A. Pogue (1967 An Empirical Evaluation of Alternative Portfolio-Selection Models, J. Bus. 40 (2 166 193.
    • (1967) J. Bus. , vol.40 , Issue.2 , pp. 166-193
    • Cohen, K.J.1    Pogue, J.A.2
  • 17
    • 25644459973 scopus 로고    scopus 로고
    • Closed-Form Solutions for Optimal Portfolio Selection with Stochastic Interest Rate and Investment Constraints
    • Detemple, J., and M. Rindisbacher (2005 Closed-Form Solutions for Optimal Portfolio Selection with Stochastic Interest Rate and Investment Constraints, Math. Finance 15 (4 539 568.
    • (2005) Math. Finance , vol.15 , Issue.4 , pp. 539-568
    • Detemple, J.1    Rindisbacher, M.2
  • 18
    • 0000121684 scopus 로고
    • Simple Criteria for Optimal Portfolio Selection
    • Elton, E. J., M. J. Gruber, and M. W. Padberg (1976 Simple Criteria for Optimal Portfolio Selection, J. Finance 31 (5 1341 1357.
    • (1976) J. Finance , vol.31 , Issue.5 , pp. 1341-1357
    • Elton, E.J.1    Gruber, M.J.2    Padberg, M.W.3
  • 19
    • 84977361989 scopus 로고
    • Simple Criteria for Optimal Portfolio Selection: Tracing out the Efficient Frontier
    • Elton, E. J., M. J. Gruber, and M. W. Padberg (1978 Simple Criteria for Optimal Portfolio Selection: Tracing out the Efficient Frontier, J. Finance 33 (1 296 302.
    • (1978) J. Finance , vol.33 , Issue.1 , pp. 296-302
    • Elton, E.J.1    Gruber, M.J.2    Padberg, M.W.3
  • 20
    • 0039840300 scopus 로고    scopus 로고
    • Optimal Portfolios with Bounded Capital at Risk
    • Emmer, S., C. Klüppelberg, and R. Korn (2001 Optimal Portfolios with Bounded Capital at Risk, Math. Finance 11 (4 365 384.
    • (2001) Math. Finance , vol.11 , Issue.4 , pp. 365-384
    • Emmer, S.1    Klüppelberg, C.2    Korn, R.3
  • 21
    • 0001652452 scopus 로고
    • Mandelbrot and the Stable Paretian Hypothesis
    • Fama, E. F. (1963 Mandelbrot and the Stable Paretian Hypothesis, J. Bus. 36, 420 429.
    • (1963) J. Bus. , vol.36 , pp. 420-429
    • Fama, E.F.1
  • 22
    • 0001390701 scopus 로고
    • Portfolio Analysis in a Stable Paretian Market
    • Fama, E. F. (1965 Portfolio Analysis in a Stable Paretian Market, Manage. Sc. 11, 401 419.
    • (1965) Manage. Sc. , vol.11 , pp. 401-419
    • Fama, E.F.1
  • 23
    • 84963097472 scopus 로고
    • Mean Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection
    • Feldstein, M. S. (1969 Mean Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection, Rev. Econ. Stud. 36 (1 5 12.
    • (1969) Rev. Econ. Stud. , vol.36 , Issue.1 , pp. 5-12
    • Feldstein, M.S.1
  • 24
    • 0001982339 scopus 로고
    • Stable Distributions and Mixtures of Distributions Hypotheses for Common Stock Returns
    • Fielitz, B. D., and J. P. Rozelle (1983 Stable Distributions and Mixtures of Distributions Hypotheses for Common Stock Returns, J. Am. Stat. Assoc. 78, 28 36.
    • (1983) J. Am. Stat. Assoc. , vol.78 , pp. 28-36
    • Fielitz, B.D.1    Rozelle, J.P.2
  • 25
    • 0010718119 scopus 로고
    • Portfolio Selection: The Effects of Uncertain Means, Variances and Covariances
    • Frankfurter, G. M., H. E. Phillips, and J. P. Seagle (1971 Portfolio Selection: The Effects of Uncertain Means, Variances and Covariances, J. Finan. Quant. Anal. 6, 1251 1262.
    • (1971) J. Finan. Quant. Anal. , vol.6 , pp. 1251-1262
    • Frankfurter, G.M.1    Phillips, H.E.2    Seagle, J.P.3
  • 26
    • 0013488842 scopus 로고
    • Mean Variance Analysis in a Finite World
    • Hakansson, N. H. (1972 Mean Variance Analysis in a Finite World, J. Finan. Quant. Anal. 7 (5 1873 1880.
    • (1972) J. Finan. Quant. Anal. , vol.7 , Issue.5 , pp. 1873-1880
    • Hakansson, N.H.1
  • 27
    • 0003972176 scopus 로고
    • Springer Series in Statistics. New York. Springer-Verlag
    • Hall, P. (1992 The Bootstrap and Edgeworth Expansion, Springer Series in Statistics. New York : Springer-Verlag.
    • (1992) The Bootstrap and Edgeworth Expansion
    • Hall, P.1
  • 28
    • 84963089164 scopus 로고
    • The Efficiency Analysis of Choices Involving Risk
    • Hanoch, G., and H. Levy (1969 The Efficiency Analysis of Choices Involving Risk, Rev. Econ. Stud. 36, 335 346.
    • (1969) Rev. Econ. Stud. , vol.36 , pp. 335-346
    • Hanoch, G.1    Levy, H.2
  • 29
    • 0001967458 scopus 로고
    • Some Limit Theorems for the Eigenvalues of Sample Covariance Matrix
    • Jonsson, D. (1982 Some Limit Theorems for the Eigenvalues of Sample Covariance Matrix, J. Multivariate Anal. 12, 1 38.
    • (1982) J. Multivariate Anal. , vol.12 , pp. 1-38
    • Jonsson, D.1
  • 30
    • 0000662045 scopus 로고
    • International Portfolio Diversification with Estimation Risk
    • Jorion, P. (1985 International Portfolio Diversification with Estimation Risk, J. Bus. 58 (3 259 278.
    • (1985) J. Bus. , vol.58 , Issue.3 , pp. 259-278
    • Jorion, P.1
  • 31
    • 0011273106 scopus 로고    scopus 로고
    • Using Value-at-Risk to Control Risk Taking: How Wrong Can You Be
    • Ju, X., and N. Pearson (1999 Using Value-at-Risk to Control Risk Taking: How Wrong Can You Be J. Risk 1 (2 5 36.
    • (1999) J. Risk , vol.1 , Issue.2 , pp. 5-36
    • Ju, X.1    Pearson, N.2
  • 32
    • 34547586969 scopus 로고    scopus 로고
    • Optimal Portfolio Choice with Parameter Uncertainty
    • Kan, R., and G. Zhou (2007 Optimal Portfolio Choice with Parameter Uncertainty, J. Finan. Quant. Anal. 42 (3 621 656.
    • (2007) J. Finan. Quant. Anal. , vol.42 , Issue.3 , pp. 621-656
    • Kan, R.1    Zhou, G.2
  • 33
    • 0000863801 scopus 로고
    • Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market
    • Konno, H., and H. Yamazaki (1991 Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market, Manage. Sci. 37 (5 519 531.
    • (1991) Manage. Sci. , vol.37 , Issue.5 , pp. 519-531
    • Konno, H.1    Yamazaki, H.2
  • 34
    • 0001469418 scopus 로고
    • Mean-Variance versus Direct Utility Maximization
    • Kroll, Y., H. Levy, and H. H. Markowitz (1984 Mean-Variance versus Direct Utility Maximization, J. Finance 39, 47 61.
    • (1984) J. Finance , vol.39 , pp. 47-61
    • Kroll, Y.1    Levy, H.2    Markowitz, H.H.3
  • 35
    • 33644971258 scopus 로고    scopus 로고
    • Portfolio Optimization with Downside Constraints
    • Lakner, P., and L. M. Nygren (2006 Portfolio Optimization with Downside Constraints, Math. Finance 16 (2 283 299.
    • (2006) Math. Finance , vol.16 , Issue.2 , pp. 283-299
    • Lakner, P.1    Nygren, L.M.2
  • 37
    • 0034347106 scopus 로고    scopus 로고
    • Optimal Dynamic Portfolio Selection: Multiperiod Mean-Variance Formulation
    • Li, D., and W. L. Ng (2000 Optimal Dynamic Portfolio Selection: Multiperiod Mean-Variance Formulation, Math. Finance 10 (3 339 406.
    • (2000) Math. Finance , vol.10 , Issue.3 , pp. 339-406
    • Li, D.1    Ng, W.L.2
  • 38
    • 0036461436 scopus 로고    scopus 로고
    • New Light on the Portfolio Allocation Problem
    • Maller, R. A., and D. A. Turkington (2002 New Light on the Portfolio Allocation Problem, Math. Methods Operations Res. 56 (3 501 511.
    • (2002) Math. Methods Operations Res. , vol.56 , Issue.3 , pp. 501-511
    • Maller, R.A.1    Turkington, D.A.2
  • 39
    • 72449191493 scopus 로고    scopus 로고
    • Bias and Consistency of the Maximum Sharpe Ratio
    • Maller, R., R. B. Durand, and P. T. Lee (2005 Bias and Consistency of the Maximum Sharpe Ratio, J. Risk 7 (4 103 115.
    • (2005) J. Risk , vol.7 , Issue.4 , pp. 103-115
    • Maller, R.1    Durand, R.B.2    Lee, P.T.3
  • 40
    • 0000263234 scopus 로고
    • Distribution for Some Sets of Random Matrices
    • Marčenko, V. A., and L. A. Pastur (1967 Distribution for Some Sets of Random Matrices, Math. USSR-Sbornik 1, 457 483.
    • (1967) Math. USSR-Sbornik , vol.1 , pp. 457-483
    • Mařenko, V.A.1    Pastur, L.A.2
  • 41
    • 84995186518 scopus 로고
    • Portfolio Selection
    • Markowitz, H. M. (1952 Portfolio Selection, J. Finance 7, 77 91.
    • (1952) J. Finance , vol.7 , pp. 77-91
    • Markowitz, H.M.1
  • 44
    • 84977421220 scopus 로고
    • Portfolio Analysis with Factors and Scenarios
    • Markowitz, H. M., and A. F. Perold (1981 Portfolio Analysis with Factors and Scenarios, J. Finance 36, 871 877.
    • (1981) J. Finance , vol.36 , pp. 871-877
    • Markowitz, H.M.1    Perold, A.F.2
  • 45
    • 0032148250 scopus 로고    scopus 로고
    • Portfolio Selection Using Stochastic Dominance Criteria
    • Mcnamara, J. R. (1998 Portfolio Selection Using Stochastic Dominance Criteria, Decision Sci. 29 (4 785 801.
    • (1998) Decision Sci. , vol.29 , Issue.4 , pp. 785-801
    • McNamara, J.R.1
  • 46
    • 84923949775 scopus 로고
    • An Analytic Derivation of the Efficient Portfolio Frontier
    • Merton, R. C. (1972 An Analytic Derivation of the Efficient Portfolio Frontier, J. Finan. Quant. Anal. 7, 1851 1872.
    • (1972) J. Finan. Quant. Anal. , vol.7 , pp. 1851-1872
    • Merton, R.C.1
  • 48
    • 0002451059 scopus 로고
    • The Markowitz Optimization Enigma: Is "optimized" Optimal
    • Michaud, R. O. (1989 The Markowitz Optimization Enigma: Is "Optimized" Optimal Finan. Analy. J. 45, 31 42.
    • (1989) Finan. Analy. J. , vol.45 , pp. 31-42
    • Michaud, R.O.1
  • 50
    • 33644969083 scopus 로고    scopus 로고
    • Multidimensional Portfolio Optimization with Proportional Transaction Costs
    • Muthuraman, K., and S. Kumar (2006 Multidimensional Portfolio Optimization with Proportional Transaction Costs, Math. Finance 16 (2 301 335.
    • (2006) Math. Finance , vol.16 , Issue.2 , pp. 301-335
    • Muthuraman, K.1    Kumar, S.2
  • 51
    • 0037364017 scopus 로고    scopus 로고
    • Noisy Covariance Matrices and Portfolio Optimization II
    • Pafka, S., and I. Kondor (2003 Noisy Covariance Matrices and Portfolio Optimization II, Physica A 319, 387 396.
    • (2003) Physica A , vol.319 , pp. 387-396
    • Pafka, S.1    Kondor, I.2
  • 52
    • 4544363306 scopus 로고    scopus 로고
    • Estimated Correlation Matrices and Portfolio Optimization
    • Pafka, S., and I. Kondor (2004 Estimated Correlation Matrices and Portfolio Optimization, Physica A 343, 623 634.
    • (2004) Physica A , vol.343 , pp. 623-634
    • Pafka, S.1    Kondor, I.2
  • 53
    • 33645001923 scopus 로고    scopus 로고
    • Random Matrix Filtering in Portfolio Optimization
    • Papp, G., S. Pafka, M. A. Nowak, and I. Kondor (2005 Random Matrix Filtering in Portfolio Optimization, Acta Physica Polonica B 36 (9 2757 2765.
    • (2005) Acta Physica Polonica B , vol.36 , Issue.9 , pp. 2757-2765
    • Papp, G.1    Pafka, S.2    Nowak, M.A.3    Kondor, I.4
  • 54
    • 0001412587 scopus 로고
    • Large-Scale Portfolio Optimization
    • Perold, A. F. (1984 Large-Scale Portfolio Optimization, Manage. Sci. 30 (10 1143 1160.
    • (1984) Manage. Sci. , vol.30 , Issue.10 , pp. 1143-1160
    • Perold, A.F.1
  • 55
    • 49849118671 scopus 로고
    • Increasing Risk: I. A Definition
    • Rothschild, M., and J. E. Stiglitz (1970 Increasing Risk: I. A Definition, J. Econ. Theory 2, 225 243.
    • (1970) J. Econ. Theory , vol.2 , pp. 225-243
    • Rothschild, M.1    Stiglitz, J.E.2
  • 56
    • 49649157588 scopus 로고
    • Increasing Risk: II. Its Economic Consequences
    • Rothschild, M., and J. E. Stiglitz (1971 Increasing Risk: II. Its Economic Consequences, J. Economic Theory 3, 66 84.
    • (1971) J. Economic Theory , vol.3 , pp. 66-84
    • Rothschild, M.1    Stiglitz, J.E.2
  • 57
    • 84980092818 scopus 로고
    • Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk
    • Sharpe, W. F. (1964 Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk, J. Finance 19, 425 442.
    • (1964) J. Finance , vol.19 , pp. 425-442
    • Sharpe, W.F.1
  • 58
    • 0000142637 scopus 로고
    • A Linear Programming Algorithm for Mutual Fund Portfolio Selection
    • Sharpe, W. F. (1967 A Linear Programming Algorithm for Mutual Fund Portfolio Selection, Manage. Sci. 22, 499 510.
    • (1967) Manage. Sci. , vol.22 , pp. 499-510
    • Sharpe, W.F.1
  • 59
    • 84967369360 scopus 로고
    • A Linear Programming Approximation for the General Portfolio Analysis Problem
    • Sharpe, W. F. (1971 A Linear Programming Approximation for the General Portfolio Analysis Problem, J. Finan. Quant. Anal. 6 (5 1263 1275.
    • (1971) J. Finan. Quant. Anal. , vol.6 , Issue.5 , pp. 1263-1275
    • Sharpe, W.F.1
  • 60
    • 0031247120 scopus 로고    scopus 로고
    • Estimation Risk in Portfolio Selection: The Mean Variance Model versus the Mean Absolute Deviation Model
    • Simaan, Y. (1997 Estimation Risk in Portfolio Selection: The Mean Variance Model versus the Mean Absolute Deviation Model, Manage. Sci. 43 (10 1437 1446.
    • (1997) Manage. Sci. , vol.43 , Issue.10 , pp. 1437-1446
    • Simaan, Y.1
  • 61
    • 84959708664 scopus 로고
    • A Linear Programming Formulation of the General Portfolio Selection Problem
    • Stone, B. K. (1973 A Linear Programming Formulation of the General Portfolio Selection Problem, J. Finan. Quant. Anal. 8 (4 621 636.
    • (1973) J. Finan. Quant. Anal. , vol.8 , Issue.4 , pp. 621-636
    • Stone, B.K.1
  • 62
    • 22544457648 scopus 로고    scopus 로고
    • Mean-Variance Portfolio Choice: Quadratic Partial Hedging
    • Xia, J. (2005 Mean-Variance Portfolio Choice: Quadratic Partial Hedging, Math. Finance 15 (3 533 538.
    • (2005) Math. Finance , vol.15 , Issue.3 , pp. 533-538
    • Xia, J.1
  • 63
    • 33645124381 scopus 로고    scopus 로고
    • Markowitz Portfolios Optimization in an Incomplete Market
    • Xia, J., and J. A. Yan (2006 Markowitz Portfolios Optimization in an Incomplete Market, Math. Finance 16 (1 203 216.
    • (2006) Math. Finance , vol.16 , Issue.1 , pp. 203-216
    • Xia, J.1    Yan, J.A.2
  • 64
    • 0000627474 scopus 로고
    • Prediction and Decision Problems in Regression Models from the Bayesian Point of View
    • Zellner, A., and V. K. Chetty (1965 Prediction and Decision Problems in Regression Models from the Bayesian Point of View, J. Am. Stat. Assoc. 60, 608 616.
    • (1965) J. Am. Stat. Assoc. , vol.60 , pp. 608-616
    • Zellner, A.1    Chetty, V.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.