IDEAS home Printed from https://ideas.repec.org/p/ags/aaea87/270094.html
   My bibliography  Save this paper

Efficient Set Mathematics, the Separation Theorem, and Farm Operating Decisions

Author

Listed:
  • Turvey, Calum Greig
  • Kimble, John W.
  • Baker, Timothy G.

Abstract

Efficient set mathematics is used to derive simple formulae for E-V efficient portfolio selection in agriculture. These formulae are used to illustrate the separation theorem when riskless cash rented land is combined with a farm portfolio. A simple example utilizing the formulae and illustrating the separation theorem is presented.

Suggested Citation

  • Turvey, Calum Greig & Kimble, John W. & Baker, Timothy G., 1987. "Efficient Set Mathematics, the Separation Theorem, and Farm Operating Decisions," 1987 Annual Meeting, August 2-5, East Lansing, Michigan 270094, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    • Handle: RePEc:ags:aaea87:270094
    DOI: 10.22004/ag.econ.270094
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/270094/files/aaea-1987-105.pdf
    Download Restriction: no
    File URL: https://ageconsearch.umn.edu/record/270094/files/aaea-1987-105.pdf?subformat=pdfa
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.270094?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. S. R. Johnson, 1967. "A Re-examination of the Farm Diversification Problem," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 49(3), pages 610-621.
    2. 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.
    3. Roll, Richard, 1977. "A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory," Journal of Financial Economics, Elsevier, vol. 4(2), pages 129-176, March.
    4. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    5. C. G. Turvey & H. C. Driver, 1986. "Econanic Analysis and Properties of the Risk Aversion Coefficient in Constrained Mathematical Optimization," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 34(1), pages 125-137, March.
    6. Robert A. Collins & Peter J. Barry, 1986. "Risk Analysis with Single-Index Portfolio Models: An Application to Farm Planning," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(1), pages 152-161.
    7. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    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. Mumey, G.A. & Bauer, L. & Boyda, A., 1988. "An Estimate of Risk and Returns From Cropping Alternatives," Project Report Series 232065, University of Alberta, Department of Resource Economics and Environmental Sociology.

    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. Turvey, Calum G. & Baker, Timothy G., 1990. "A Pedagogic Review of the Efficient Set Mathematics Applied to Farm Operating Risk," Department of Agricultural Economics and Business 258630, University of Guelph.
    2. Yuanyao Ding & Bo Zhang, 2009. "Risky asset pricing based on safety first fund management," Quantitative Finance, Taylor & Francis Journals, vol. 9(3), pages 353-361.
    3. Benoit Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The political reception of innovations," Cahiers de recherche 2107, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
    4. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The RQE-CAPM : New insights about the pricing of idiosyncratic risk," CIRANO Working Papers 2021s-28, CIRANO.
    5. Gilles Boevi Koumou, 2020. "Diversification and portfolio theory: a review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(3), pages 267-312, September.
    6. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
    7. Bick, Avi, 2004. "The mathematics of the portfolio frontier: a geometry-based approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(2), pages 337-361, May.
    8. Hayette Gatfaoui, 2010. "Capital Asset Pricing Model," Post-Print hal-00589904, HAL.
    9. Christian Walter, 2005. "La gestion indicielle et la théorie des moyennes," Revue d'Économie Financière, Programme National Persée, vol. 79(2), pages 113-136.
    10. Anders Johansson, 2009. "An analysis of dynamic risk in the Greater China equity markets," Journal of Chinese Economic and Business Studies, Taylor & Francis Journals, vol. 7(3), pages 299-320.
    11. Hany Shawky & Ronald Forbes & Alan Frankle, 1983. "Liquidity Services and Capital Market Equilibrium: The Case for Money Market Mutual Funds," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 6(2), pages 141-152, June.
    12. Turan G. Bali & Robert F. Engle & Yi Tang, 2017. "Dynamic Conditional Beta Is Alive and Well in the Cross Section of Daily Stock Returns," Management Science, INFORMS, vol. 63(11), pages 3760-3779, November.
    13. Elsas, Ralf & El-Shaer, Mahmoud & Theissen, Erik, 2003. "Beta and returns revisited: Evidence from the German stock market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(1), pages 1-18, February.
    14. Wayne E. Ferson & Campbell R. Harvey, 1999. "Conditioning Variables and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 54(4), pages 1325-1360, August.
    15. Yuenan Wang & Amalia Di Iorio, 2007. "The cross-sectional relationship between stock returns and domestic and global factors in the Chinese A-share market," Review of Quantitative Finance and Accounting, Springer, vol. 29(2), pages 181-203, August.
    16. Dumitriu, Ramona & Stefanescu, Razvan & Nistor, Costel, 2010. "Systematic risks for the financial and for the non-financial Romanian companies," MPRA Paper 41636, University Library of Munich, Germany, revised 28 Feb 2010.
    17. Babalos, Vassilios & Caporale, Guglielmo Maria & Philippas, Nikolaos, 2012. "Efficiency evaluation of Greek equity funds," Research in International Business and Finance, Elsevier, vol. 26(2), pages 317-333.
    18. Fletcher, Jonathan, 2000. "On the conditional relationship between beta and return in international stock returns," International Review of Financial Analysis, Elsevier, vol. 9(3), pages 235-245.
    19. John G. Cragg & Burton G. Malkiel, 1982. "References, Index," NBER Chapters, in: Expectations and the Structure of Share Prices, pages 167-176, National Bureau of Economic Research, Inc.
    20. Gempesaw, Conrado M., II & Tambe, A.M. & Nayga, Rodolfo M., Jr. & Toensmeyer, Ulrich C., 1988. "The Single Index Market Model In Agriculture," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 17(2), pages 1-9, October.

    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:ags:aaea87:270094. 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: AgEcon Search (email available below). General contact details of provider: http://www.aaea.org .

    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.