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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Barberis, Nicholas & Shleifer, Andrei & Vishny, Robert, 1998. "A model of investor sentiment," Journal of Financial Economics, Elsevier, vol. 49(3), pages 307-343, September.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Gabriel Frahm, 2013. "Pricing and Valuation under the Real-World Measure," Papers 1304.3824, arXiv.org, revised Jan 2016.
    11. 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.
    12. 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.
    13. 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..
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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-.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. Martin Cherkes, 2012. "Closed-End Funds: A Survey," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 431-445, October.
    27. 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.
    28. 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.
    29. 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.
    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.
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