Fast gradient descent method for Mean-CVaR optimization
详细信息    查看全文
  • 作者:Garud Iyengar (1)
    Alfred Ka Chun Ma (2) (3)
  • 关键词:Conditional value ; at ; risk ; Portfolio optimization
  • 刊名:Annals of Operations Research
  • 出版年:2013
  • 出版时间:May 2013
  • 年:2013
  • 卷:205
  • 期:1
  • 页码:203-212
  • 全文大小:429KB
  • 参考文献:1. Agarwal, V., & Naik, N. (2004). Risks and portfolio decisions involving hedge funds. / The Review of Financial Studies, / 17(1), 63鈥?8. CrossRef
    2. Alexander, S., Coleman, T., & Li, Y. (2006). Minimizing CVaR and VaR for a portfolio of derivatives. / Journal of Banking & Finance, / 30(2), 583鈥?05. CrossRef
    3. Andersen, E. D., & Andersen, K. D. (2006). The MOSEK optimization toolbox for MATLAB manual Version 4.0. http://www.mosek.com/products/4_0/tools/help/index.html.
    4. Angelelli, E., Mansini, R., & Speranza, M. (2008). A comparison of MAD and CVaR models with real features. / Journal of Banking & Finance, / 32(7), 1188鈥?197. CrossRef
    5. Artzner, P., Delbean, F., Eber, J., & Heath, D. (1999). Coherent measure of risks. / Mathematical Finance, / 9(3), 203鈥?28. CrossRef
    6. Basak, S., & Shapiro, A. (2001). Value-at-risk based risk management: optimal policies and asset prices. / The Review of Financial Studies, / 14(2), 371鈥?05. CrossRef
    7. Black, F., & Litterman, R. (1990). / Asset allocation: combining investor views with market equilibrium. Goldman Sachs Fixed Income Research.
    8. Black, F., & Litterman, R. (1991). Asset allocation: combining investor views with market expectations. / The Journal of Fixed Income, / 1(1), 7鈥?8. CrossRef
    9. Chiodi, L., Mansini, R., & Speranza, M. (2003). Semi-absolute deviation rule for mutual funds portfolio selection. / Annals of Operations Research, / 124(1), 245鈥?65. CrossRef
    10. Gaivoronski, A., & Pflug, G. (2005). Value-at-risk in portfolio optimization: properties and computational approach. / The Journal of Risk, / 7(2), 1鈥?1.
    11. ILOG (2008). ILOG CPLEX 11.1. http://www.ilog.com/products/cplex/.
    12. Konno, H., & Yamazaki, H. (1991). Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market. / Management Science, / 37(5), 519鈥?31. CrossRef
    13. Koskosidis, Y., & Duarte, A. Jr. (1997). A scenario-based approach to active asset allocation. / The Journal of Portfolio Management, / 23, 74鈥?5. CrossRef
    14. Larsen, N., Mausser, H., & Uryasev, S. (2002). Algorithms for optimization of value-at-risk. In / Applied optimization series. / Financial engineering, e-commerce and supply chain (pp.聽19鈥?6).
    15. L眉thi, H., & Doege, J. (2005). Convex risk measures for portfolio optimization and concepts of flexibility. / Mathematical Programming, / 104(2), 541鈥?59. CrossRef
    16. Markowitz, H. (1952). Portfolio selection. / The Journal of Finance, / 7(1), 77鈥?1.
    17. Mas-Colell, A., Whinston, M., & Green, J. (1995). / Microeconomic theory. London: Oxford University Press.
    18. Meucci, A. (2006). Beyond Black-Litterman: views on non-normal markets. / Risk Magazine, / 19, 87鈥?2.
    19. Nesterov, Y. (2005). Smooth minimization of non-smooth functions. / Mathematical Programming, / 103(1), 127鈥?52. CrossRef
    20. Rockafellar, R., & Uryasev, S. (2000). Optimization of conditional value-at-risk. / The Journal of Risk, / 2(3), 21鈥?1.
    21. Rockafellar, R., & Uryasev, S. (2002). Conditional value-at-risk for general loss distributions. / Journal of Banking & Finance, / 26(7), 1443鈥?471. CrossRef
    22. Rockafellar, R., Uryasev, S., & Zabarankin, M. (2006a). Deviation measures in risk analysis and optimization. / Finance and Stochastics, / 10(1), 51鈥?4. CrossRef
    23. Rockafellar, R., Uryasev, S., & Zabarankin, M. (2006b). Optimality conditions in portfolio analysis with general deviation measures. / Mathematical Programming, / 108(2鈥?), 515鈥?40. CrossRef
    24. Sharpe, W. (1971). Mean-absolute-deviation characteristic lines for securities and portfolios. / Management Science, / 18(2), B1鈥揃13. CrossRef
    25. Speranza, M. (1993). Linear programming models for portfolio optimization. / The Journal of Finance, / 14(1), 107鈥?23.
  • 作者单位:Garud Iyengar (1)
    Alfred Ka Chun Ma (2) (3)

    1. Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, 10027, USA
    2. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, China
    3. Celestial Asia Securities Holdings, Hong Kong, China
  • ISSN:1572-9338
文摘
We propose an iterative gradient descent algorithm for solving scenario-based Mean-CVaR portfolio selection problem. The algorithm is fast and does not require any LP solver. It also has efficiency advantage over the LP approach for large scenario size.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700