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Factor Representing Portfolios in Large Asset Markets

  • Sentana, E.

We study the properties of mimicking portfolios in an intertemporal APT model, in which the conditional mean and covariance matrix of returns vary in an interdependent manner. We use a signal extraction approach, and relate the efficiency of (possibly) dynamic basis portfolios to mean square error minimisation. We prove that many portfolios converge to the factors as the number of assets increases, but show that the conditional Kalman filter portfolios are the ones with both minimum tracking error variability, and maximum correlation with the common factors. We also show that our conclusions are unlikely to change when using parameter estimates.

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Paper provided by Centro de Estudios Monetarios Y Financieros- in its series Papers with number 0001.

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Length: 65 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:cemfdt:0001
Contact details of provider: Postal: Centro de Estudios Monetarios Y Financieros. Casado del Alisal, 5-28014 Madrid, Spain.
Phone: 914290551
Fax: 914291056
Web page: http://www.cemfi.es/
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  1. Grinblatt, Mark & Titman, Sheridan, 1987. "The Relation between Mean-Variance Efficiency and Arbitrage Pricing," The Journal of Business, University of Chicago Press, vol. 60(1), pages 97-112, January.
  2. Donald W. K. Andrews, 1999. "Estimation When a Parameter Is on a Boundary," Econometrica, Econometric Society, vol. 67(6), pages 1341-1384, November.
  3. Gary Chamberlain & Michael Rothschild, 1982. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," NBER Working Papers 0996, National Bureau of Economic Research, Inc.
  4. repec:fth:inseep:9107 is not listed on IDEAS
  5. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
  6. repec:ner:tilbur:urn:nbn:nl:ui:12-153230 is not listed on IDEAS
  7. Bruce N. Lehmann & David M. Modest, 1985. "The Empirical Foundations of the Arbitrage Pricing Theory II: The Optimal Construction of Basis Portfolios," NBER Working Papers 1726, National Bureau of Economic Research, Inc.
  8. Paolo Zaffaroni, 2000. "Contemporaneous Aggregation of GARCH Processes," STICERD - Econometrics Paper Series /2000/378, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  9. Sentana, Enrique & Fiorentini, Gabriele, 2001. "Identification, estimation and testing of conditionally heteroskedastic factor models," Journal of Econometrics, Elsevier, vol. 102(2), pages 143-164, June.
  10. Connor, Gregory, 1984. "A unified beta pricing theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 13-31, October.
  11. Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157.
  12. Enrique Sentana, 1997. "Risk and return in the Spanish stock market: some evidence from individual assets," Investigaciones Economicas, Fundación SEPI, vol. 21(2), pages 297-360, May.
  13. Sentana, Enrique, 2004. "Factor representing portfolios in large asset markets," Journal of Econometrics, Elsevier, vol. 119(2), pages 257-289, April.
  14. Bruce N. Lehmann, 1991. "Notes on Dynamic Factor Pricing Models," NBER Working Papers 3677, National Bureau of Economic Research, Inc.
  15. Chen, Nai-fu, 1983. " Some Empirical Tests of the Theory of Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 38(5), pages 1393-1414, December.
  16. Donald Rubin & Dorothy Thayer, 1982. "EM algorithms for ML factor analysis," Psychometrika, Springer, vol. 47(1), pages 69-76, March.
  17. Connor, Gregory & Korajczyk, Robert A., 1988. "Risk and return in an equilibrium APT : Application of a new test methodology," Journal of Financial Economics, Elsevier, vol. 21(2), pages 255-289, September.
  18. Chamberlain, Gary, 1983. "Funds, Factors, and Diversification in Arbitrage Pricing Models," Econometrica, Econometric Society, vol. 51(5), pages 1305-23, September.
  19. Huberman, Gur, 1982. "A simple approach to arbitrage pricing theory," Journal of Economic Theory, Elsevier, vol. 28(1), pages 183-191, October.
  20. Robert F. Engle & Victor Ng & Michael Rothschild, 1988. "Asset Pricing with a Factor Arch Covariance Structure: Empirical Estimates for Treasury Bills," NBER Technical Working Papers 0065, National Bureau of Economic Research, Inc.
  21. Magnus, J.R. & Pesaran, B., 1991. "The bias of forecasts from a first-order autoregression," Other publications TiSEM 346d080a-99dc-493f-9a95-6, Tilburg University, School of Economics and Management.
  22. Ingersoll, Jonathan E, Jr, 1984. " Some Results in the Theory of Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 39(4), pages 1021-39, September.
  23. Lehmann, Bruce N. & Modest, David M., 1988. "The empirical foundations of the arbitrage pricing theory," Journal of Financial Economics, Elsevier, vol. 21(2), pages 213-254, September.
  24. Magnus, Jan R. & Pesaran, Bahram, 1991. "The Bias of Forecasts from a First-Order Autoregression," Econometric Theory, Cambridge University Press, vol. 7(02), pages 222-235, June.
  25. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  26. Mervyn King & Enrique Sentana & Sushil Wadhwani, 1990. "Volatiltiy and Links Between National Stock Markets," NBER Working Papers 3357, National Bureau of Economic Research, Inc.
  27. Huberman, Gur & Kandel, Shmuel & Stambaugh, Robert F, 1987. " Mimicking Portfolios and Exact Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 42(1), pages 1-9, March.
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