IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v32y1999i2p167-175.html
   My bibliography  Save this article

Existence, uniqueness and determinacy of equilibrium in C.A.P.M. with a riskless asset

Author

Listed:
  • Dana, Rose-Anne

Abstract

No abstract is available for this item.

Suggested Citation

  • Dana, Rose-Anne, 1999. "Existence, uniqueness and determinacy of equilibrium in C.A.P.M. with a riskless asset," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 167-175, October.
  • Handle: RePEc:eee:mateco:v:32:y:1999:i:2:p:167-175
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(98)00050-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    2. Nielsen, Lars Tyge, 1988. "Uniqueness of Equilibrium in the Classical Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(3), pages 329-336, September.
    3. Nielsen, Lars Tyge, 1990. "Existence of equilibrium in CAPM," Journal of Economic Theory, Elsevier, vol. 52(1), pages 223-231, October.
    4. Dana, Rose Anne, 1993. "Existence and Uniqueness of Equilibria When Preferences Are Additively Separable," Econometrica, Econometric Society, vol. 61(4), pages 953-957, July.
    5. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    6. Nielsen, Lars Tyge, 1987. "Portfolio Selection in the Mean-Variance Model: A Note," Journal of Finance, American Finance Association, vol. 42(5), pages 1371-1376, December.
    7. Dana, Rose-Anne, 1993. "Existence, uniqueness and determinacy of Arrow-Debreu equilibria in finance models," Journal of Mathematical Economics, Elsevier, vol. 22(6), pages 563-579.
    8. Allingham, Michael, 1991. "Existence Theorems in the Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 59(4), pages 1169-1174, July.
    9. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    10. Lars Tyge Nielsen, 1990. "Equilibrium in CAPM Without a Riskless Asset," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 315-324.
    11. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Møller, T., 2002. "On Valuation and Risk Management at the Interface of Insurance and Finance," British Actuarial Journal, Cambridge University Press, vol. 8(4), pages 787-827, October.
    2. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    3. Koch-Medina, Pablo & Wenzelburger, Jan, 2018. "Equilibria in the CAPM with non-tradeable endowments," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 93-107.
    4. repec:dau:papers:123456789/5374 is not listed on IDEAS
    5. Christoph Czichowsky & Martin Herdegen & David Martins, 2024. "Existence and uniqueness of quadratic and linear mean-variance equilibria in general semimartingale markets," Papers 2408.03134, arXiv.org.
    6. Jan Wenzelburger, 2010. "The two-fund separation theorem revisited," Annals of Finance, Springer, vol. 6(2), pages 221-239, March.
    7. Wenzelburger, Jan, 2008. "A Note on the Two-fund Separation Theorem," MPRA Paper 11014, University Library of Munich, Germany, revised 31 Sep 2008.
    8. Chiaki Hara, 2018. "Equilibrium Prices of the Market Portfolio in the CAPM with Incomplete Financial Markets," KIER Working Papers 1005, Kyoto University, Institute of Economic Research.
    9. Lajeri-Chaherli, Fatma, 2003. "Partial derivatives, comparative risk behavior and concavity of utility functions," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 81-99, August.
    10. Ma, Chenghu & Hu, Jianqiang & Xu, Yifan, 2018. "Margins on short sales and equilibrium price indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 79-92.
    11. Hens, Thorsten & Laitenberger, Jorg & Loffler, Andreas, 2002. "Two remarks on the uniqueness of equilibria in the CAPM," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 123-132, April.
    12. Thorsten Hens & Joerg Laitenberger & Andreas Loeffler, "undated". "On Uniqueness of Equilibria in the CAPM - (This paper replaces "Existence and Uniqueness of Equilibria in the CAPM")," IEW - Working Papers 039, Institute for Empirical Research in Economics - University of Zurich.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wenzelburger, Jan, 2008. "A Note on the Two-fund Separation Theorem," MPRA Paper 11014, University Library of Munich, Germany, revised 31 Sep 2008.
    2. repec:dau:papers:123456789/5374 is not listed on IDEAS
    3. Koch-Medina, Pablo & Wenzelburger, Jan, 2018. "Equilibria in the CAPM with non-tradeable endowments," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 93-107.
    4. Dana, R. A. & Le Van, C., 1996. "Asset Equilibria in Lp spaces with complete markets: A duality approach," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 263-280.
    5. Jan Wenzelburger, 2010. "The two-fund separation theorem revisited," Annals of Finance, Springer, vol. 6(2), pages 221-239, March.
    6. Jun Tong & Jian-Qiang Hu & Jiaqiao Hu, 2017. "A Computational Algorithm for Equilibrium Asset Pricing Under Heterogeneous Information and Short-Sale Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-16, October.
    7. Sato Norihisa, 2010. "Existence of Competitive Equilibrium in Unbounded Exchange Economies with Satiation: A Note," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-22, July.
    8. Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March.
    9. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, M., 2007. "Equilibrium with investors using a diversity of deviation measures," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3251-3268, November.
    10. Levy, Moshe, 2007. "Conditions for a CAPM equilibrium with positive prices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 404-415, November.
    11. Ning Sun & Zaifu Yang, 2003. "Existence of Equilibrium and Zero-Beta Pricing Formula in the Capital Asset Pricing Model with Heterogeneous Beliefs," Annals of Economics and Finance, Society for AEF, vol. 4(1), pages 51-71, May.
    12. Bottazzi, Jean-Marc & Hens, Thorsten & Loffler, Andreas, 1998. "Market Demand Functions in the Capital Asset Pricing Model," Journal of Economic Theory, Elsevier, vol. 79(2), pages 192-206, April.
    13. Lajeri-Chaherli, Fatma, 2003. "Partial derivatives, comparative risk behavior and concavity of utility functions," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 81-99, August.
    14. D. Won & G. Hahn & N. Yannelis, 2008. "Capital market equilibrium without riskless assets: heterogeneous expectations," Annals of Finance, Springer, vol. 4(2), pages 183-195, March.
    15. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    16. repec:ebl:ecbull:v:3:y:2008:i:73:p:1-8 is not listed on IDEAS
    17. Rose-Anne Dana, 2001. "original papers : Uniqueness of Arrow-Debreu and Arrow-Radner equilibrium when utilities are additively separable," Review of Economic Design, Springer;Society for Economic Design, vol. 6(2), pages 155-173.
    18. Dana, Rose-Anne & Le Van, Cuong, 2000. "Arbitrage, duality and asset equilibria," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 397-413, November.
    19. Christoph Czichowsky & Martin Herdegen & David Martins, 2024. "Existence and uniqueness of quadratic and linear mean-variance equilibria in general semimartingale markets," Papers 2408.03134, arXiv.org.
    20. Hens, Thorsten & Laitenberger, Jorg & Loffler, Andreas, 2002. "Two remarks on the uniqueness of equilibria in the CAPM," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 123-132, April.
    21. Pınar, Mustafa Ç., 2014. "Equilibrium in an ambiguity-averse mean–variance investors market," European Journal of Operational Research, Elsevier, vol. 237(3), pages 957-965.
    22. Thorsten Hens & Joerg Laitenberger & Andreas Loeffler, "undated". "On Uniqueness of Equilibria in the CAPM - (This paper replaces "Existence and Uniqueness of Equilibria in the CAPM")," IEW - Working Papers 039, Institute for Empirical Research in Economics - University of Zurich.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:32:y:1999:i:2:p:167-175. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.