IDEAS home Printed from https://ideas.repec.org/a/wsi/ijtafx/v22y2019i05ns0219024919500250.html
   My bibliography  Save this article

The Fundamental Theorems Of Asset Pricing And The Closed-End Fund Puzzle

Author

Listed:
  • GABRIEL FRAHM

    (Department of Mathematics and Statistics, Helmut Schmidt University, Holstenhofweg 85, D-22043 Hamburg, Germany)

  • ALEXANDER JONEN

    (Department of Mathematics and Statistics, Helmut Schmidt University, Holstenhofweg 85, D-22043 Hamburg, Germany)

  • RAINER SCHÜSSLER

    (#x2020;Department of Economics, University of Rostock, Ulmenstraße 69, D-18057 Rostock, Germany)

Abstract

We propose a solution to the closed-end fund puzzle in financial markets without a free lunch with vanishing risk. Our results are consistent with both the time-series and the cross-sectional aspect of the closed-end fund puzzle. It turns out that a closed-end fund cannot exist if the fund manager is supposed to receive a fee although he is not able to find mispriced assets in the market. By contrast, a premium can typically be observed at the initial public offering because the fund manager has access to information that enables him to create a dominant strategy. As soon as this weak arbitrage opportunity evaporates, a premium can no longer occur. The reason why a premium quickly turns into a discount might be that the fund manager stops applying a superior trading strategy at some point in time. Another possibility is that abnormal profits are transient in a competitive financial market. In any case, when the fund manager is no longer willing or able to maintain a superior strategy, the fund must trade at a discount in order to compensate for his management fee.

Suggested Citation

  • Gabriel Frahm & Alexander Jonen & Rainer Schüssler, 2019. "The Fundamental Theorems Of Asset Pricing And The Closed-End Fund Puzzle," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-31, August.
  • Handle: RePEc:wsi:ijtafx:v:22:y:2019:i:05:n:s0219024919500250
    DOI: 10.1142/S0219024919500250
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219024919500250
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219024919500250?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
    ---><---

    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. Elton, Edwin J & Gruber, Martin J & Busse, Jeffrey A, 1998. "Do Investors Care about Sentiment?," The Journal of Business, University of Chicago Press, vol. 71(4), pages 477-500, October.
    2. Chay, J. B. & Trzcinka, Charles A., 1999. "Managerial performance and the cross-sectional pricing of closed-end funds," Journal of Financial Economics, Elsevier, vol. 52(3), pages 379-408, June.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    5. Datar, Vinay, 2001. "Impact of liquidity on premia/discounts in closed-end funds," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(1), pages 119-135.
    6. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    7. Lee, Charles M C & Shleifer, Andrei & Thaler, Richard H, 1991. "Investor Sentiment and the Closed-End Fund Puzzle," Journal of Finance, American Finance Association, vol. 46(1), pages 75-109, March.
    8. Tarun Ramadorai, 2012. "The Secondary Market for Hedge Funds and the Closed Hedge Fund Premium," Journal of Finance, American Finance Association, vol. 67(2), pages 479-512, April.
    9. Martin Cherkes, 2012. "Closed-End Funds: A Survey," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 431-445, October.
    10. Martin Cherkes & Jacob Sagi & Richard Stanton, 2009. "A Liquidity-Based Theory of Closed-End Funds," The Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 257-297, January.
    11. Barberis, Nicholas & Shleifer, Andrei & Vishny, Robert, 1998. "A model of investor sentiment," Journal of Financial Economics, Elsevier, vol. 49(3), pages 307-343, September.
    12. Malkiel, Burton G, 1977. "The Valuation of Closed-End Investment-Company Shares," Journal of Finance, American Finance Association, vol. 32(3), pages 847-859, June.
    13. Robert Jarrow & Philip Protter, 2019. "A rational asset pricing model for premiums and discounts on closed‐end funds: The bubble theory," Mathematical Finance, Wiley Blackwell, vol. 29(4), pages 1157-1170, October.
    14. Gordon Gemmill & Dylan C. Thomas, 2002. "Noise Trading, Costly Arbitrage, and Asset Prices: Evidence from Closed‐end Funds," Journal of Finance, American Finance Association, vol. 57(6), pages 2571-2594, December.
    15. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    16. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    17. Chang, Eric & Eun, Cheol S. & Kolodny, Richard, 1995. "International diversification through closed-end country funds," Journal of Banking & Finance, Elsevier, vol. 19(7), pages 1237-1263, October.
    18. Jonathan B. Berk & Richard Stanton, 2007. "Managerial Ability, Compensation, and the Closed‐End Fund Discount," Journal of Finance, American Finance Association, vol. 62(2), pages 529-556, April.
    19. Abraham, Abraham & Elan, Don & Marcus, Alan J, 1993. "Does Sentiment Explain Closed-End Fund Discounts? Evidence from Bond Funds," The Financial Review, Eastern Finance Association, vol. 28(4), pages 607-616, November.
    20. Gabriel Frahm, 2013. "Pricing and Valuation under the Real-World Measure," Papers 1304.3824, arXiv.org, revised Jan 2016.
    21. Jeffrey Pontiff, 1996. "Costly Arbitrage: Evidence from Closed-End Funds," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1135-1151.
    22. Barclay, Michael J. & Holderness, Clifford G. & Pontiff, Jeffrey, 1993. "Private benefits from block ownership and discounts on closed-end funds," Journal of Financial Economics, Elsevier, vol. 33(3), pages 263-291, June.
    23. Steven A. Ross, 2002. "Neoclassical Finance, Alternative Finance and the Closed End Fund Puzzle," European Financial Management, European Financial Management Association, vol. 8(2), pages 129-137, June.
    24. Edwin J. Elton & Martin J. Gruber & Jeffrey A. Busse, 1998. "Do Investors Care About Sentiment?," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-028, New York University, Leonard N. Stern School of Business-.
    25. Bodurtha, James N, Jr & Kim, Dong-Soon & Lee, Charles M C, 1995. "Closed-End Country Funds and U.S. Market Sentiment," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 879-918.
    26. Roenfeldt, Rodney L. & Tuttle, Donald L., 1973. "An examination of the discounts and premiums of closed-end investment companies," Journal of Business Research, Elsevier, vol. 1(2), pages 129-140.
    27. Brickley, James A & Manaster, Steven & Schallheim, James, 1991. "The Tax-Timing Option and the Discounts on Closed-End Investment Companies," The Journal of Business, University of Chicago Press, vol. 64(3), pages 287-312, July.
    28. Chan, Justin S.P. & Jain, Ravi & Xia, Yihong, 2008. "Market segmentation, liquidity spillover, and closed-end country fund discounts," Journal of Financial Markets, Elsevier, vol. 11(4), pages 377-399, November.
    29. Gabriel Frahm, 2016. "Pricing And Valuation Under The Real-World Measure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-39, February.
    30. Robert Jarrow, 2012. "The Third Fundamental Theorem Of Asset Pricing," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 1-11.
    Full references (including those not matched with items on IDEAS)

    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. Stylianos X. Koufadakis, 2016. "Mispricing Explanations of Closed-End Funds: A Survey Review," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 66(1-2), pages 108-135, January-J.
    2. Stylianos X. Koufadakis, 2015. "Asymmetries on Closed End Country Funds Premium and Monetary Policy Announcements: An Approach Trough the Perspective of Foreign Countries," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 65(3-4), pages 29-65, july-Dece.
    3. Lenkey, Stephen L., 2015. "The closed-end fund puzzle: Management fees and private information," Journal of Financial Intermediation, Elsevier, vol. 24(1), pages 112-129.
    4. Tarun Ramadorai, 2012. "The Secondary Market for Hedge Funds and the Closed Hedge Fund Premium," Journal of Finance, American Finance Association, vol. 67(2), pages 479-512, April.
    5. Jullavut Kittiakarasakun & Lalatendu Misra & Sinan Yildirim, 2018. "An analysis of closed-end funds discounts viewed from a lack of redemption perspective," Review of Quantitative Finance and Accounting, Springer, vol. 50(2), pages 415-440, February.
    6. Jay Wang, Z. & Nanda, Vikram, 2011. "Payout policies and closed-end fund discounts: Signaling, agency costs, and the role of institutional investors," Journal of Financial Intermediation, Elsevier, vol. 20(4), pages 589-619, October.
    7. Kim, Doseong & Kim, Yura & Song, Kyojik Roy, 2013. "Payout policies on U.S. closed-end funds," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 345-356.
    8. Kim, Youngsoo & Lee, Bong Soo, 2007. "Limited participation and the closed-end fund discount," Journal of Banking & Finance, Elsevier, vol. 31(2), pages 381-399, February.
    9. Chan, Justin S.P. & Jain, Ravi & Xia, Yihong, 2008. "Market segmentation, liquidity spillover, and closed-end country fund discounts," Journal of Financial Markets, Elsevier, vol. 11(4), pages 377-399, November.
    10. Davies, Richard & Fletcher, Mary & Marshall, Andrew, 2013. "Investigating the role of illiquidity in explaining the UK closed-end country fund discount," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 121-130.
    11. Alexander, Gordon J. & Peterson, Mark A., 2017. "Short selling and the pricing of closed-end funds," Journal of Financial Markets, Elsevier, vol. 33(C), pages 124-142.
    12. Nazif Durmaz & Hyeongwoo Kim & Hyejin Lee & Yanfei Sun, 2023. "Trend Breaks and the Persistence of Closed-End Fund Discounts," Auburn Economics Working Paper Series auwp2023-08, Department of Economics, Auburn University.
    13. Nazif Durmaz & Hyeongwoo Kim & Hyejin Lee & Yanfei Sun, 2023. "Trend Breaks and the Persistence of Closed-End Mutual Fund Discounts," Auburn Economics Working Paper Series auwp2023-03, Department of Economics, Auburn University.
    14. Bradley, Michael & Brav, Alon & Goldstein, Itay & Jiang, Wei, 2010. "Activist arbitrage: A study of open-ending attempts of closed-end funds," Journal of Financial Economics, Elsevier, vol. 95(1), pages 1-19, January.
    15. Mohamed Ayadi & Hatem Ben-Ameur & Skander Lazrak & Yue Wang, 2013. "Canadian Investors and the Discount on Closed-End Funds," Journal of Financial Services Research, Springer;Western Finance Association, vol. 43(1), pages 69-98, February.
    16. Huang, Emily J., 2015. "The role of institutional investors and individual investors in financial markets: Evidence from closed-end funds," Review of Financial Economics, Elsevier, vol. 26(C), pages 1-11.
    17. Kräussl, Roman & Pollet, Joshua & Stefanova, Denitsa, 2018. "Signaling or marketing? The role of discount control mechanisms in closed-end funds," CFS Working Paper Series 597, Center for Financial Studies (CFS).
    18. Dilip Patro & Louis R. Piccotti & Yangru Wu, 2017. "Exploiting Closed-End Fund Discounts: A Systematic Examination Of Alphas," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 40(2), pages 223-248, June.
    19. Hwang, Byoung-Hyoun & Kim, Hugh Hoikwang, 2017. "It pays to write well," Journal of Financial Economics, Elsevier, vol. 124(2), pages 373-394.
    20. Emily J. Huang, 2015. "The role of institutional investors and individual investors in financial markets: Evidence from closed‐end funds," Review of Financial Economics, John Wiley & Sons, vol. 26(1), pages 1-11, September.

    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:wsi:ijtafx:v:22:y:2019:i:05:n:s0219024919500250. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijtaf/ijtaf.shtml .

    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.