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Optimal Fund Menus

Author

Listed:
  • Jaksa Cvitanic

    (California Institute of Technology - Division of the Humanities and Social Sciences)

  • Julien Hugonnier

    (Swiss Federal Institute of Technology Lausanne - Ecole Polytechnique Fédérale de Lausanne; Swiss Finance Institute)

Abstract

We study the optimal design of a menu of funds by a manager who is required to use linear pricing and does not observe the preferences of investors regarding one of the risky assets. The optimal menu involves bundling of assets and can be explicitly constructed from the solution to a calculus of variations problem that optimizes over the indirect utility that each type of investor receives. We provide a complete characterization of the optimal fund menu and show that the need to maintain incentive compatibility leads the manager to behave as a closet indexer by offering funds that are inefficiently tilted towards the asset which is not subject to the information friction.

Suggested Citation

  • Jaksa Cvitanic & Julien Hugonnier, 2018. "Optimal Fund Menus," Swiss Finance Institute Research Paper Series 18-47, Swiss Finance Institute, revised Aug 2018.
  • Handle: RePEc:chf:rpseri:rp1847
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    1. JONATHAN B. BERK & JULES H. van BINSBERGEN & BINYING LIU, 2017. "Matching Capital and Labor," Journal of Finance, American Finance Association, vol. 72(6), pages 2467-2504, December.
    2. Admati, Anat R & Pfleiderer, Paul, 1997. "Does It All Add Up? Benchmarks and the Compensation of Active Portfolio Managers," The Journal of Business, University of Chicago Press, vol. 70(3), pages 323-350, July.
    3. Ľuboš Pástor & Robert F. Stambaugh, 2012. "On the Size of the Active Management Industry," Journal of Political Economy, University of Chicago Press, vol. 120(4), pages 740-781.
    4. Suleyman Basak & Anna Pavlova & Alexander Shapiro, 2007. "Optimal Asset Allocation and Risk Shifting in Money Management," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1583-1621, 2007 21.
    5. Harald Hau & Helene Rey, 2008. "Home Bias at the Fund Level," American Economic Review, American Economic Association, vol. 98(2), pages 333-338, May.
    6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    7. Jonathan B. Berk & Richard C. Green, 2004. "Mutual Fund Flows and Performance in Rational Markets," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1269-1295, December.
    8. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1998. "The Regulation of Fee Structures in Mutual Funds: A Theoretical Analysis," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-085, New York University, Leonard N. Stern School of Business-.
    9. Thomas Dangl & Youchang Wu & Josef Zechner, 2008. "Market Discipline and Internal Governance in the Mutual Fund Industry," The Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2307-2343, September.
    10. Cvitanić, Jakša & Xing, Hao, 2018. "Asset pricing under optimal contracts," Journal of Economic Theory, Elsevier, vol. 173(C), pages 142-180.
    11. Bruce Ian Carlin & Gustavo Manso, 2011. "Obfuscation, Learning, and the Evolution of Investor Sophistication," The Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 754-785.
    12. Suleyman Basak & Anna Pavlova, 2013. "Asset Prices and Institutional Investors," American Economic Review, American Economic Association, vol. 103(5), pages 1728-1758, August.
    13. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
    14. Anthony W. Lynch & David K. Musto, 2003. "How Investors Interpret Past Fund Returns," Journal of Finance, American Finance Association, vol. 58(5), pages 2033-2058, October.
    15. Bhattacharya, Sudipto & Pfleiderer, Paul, 1985. "Delegated portfolio management," Journal of Economic Theory, Elsevier, vol. 36(1), pages 1-25, June.
    16. Philip H. Dybvig & Heber K. Farnsworth & Jennifer N. Carpenter, 2010. "Portfolio Performance and Agency," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 1-23, January.
    17. Casey Rothschild, 2015. "Nonexclusivity, Linear Pricing, and Annuity Market Screening," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(1), pages 1-32, March.
    18. Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April.
    19. A. Michael Spence, 1980. "Multi-Product Quantity-Dependent Prices and Profitability Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(5), pages 821-841.
    20. Cuoco, Domenico & Kaniel, Ron, 2011. "Equilibrium prices in the presence of delegated portfolio management," Journal of Financial Economics, Elsevier, vol. 101(2), pages 264-296, August.
    21. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 2002. "Fee Speech: Signaling, Risk-Sharing, and the Impact of Fee Structures on Investor Welfare," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1465-1497.
    22. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    23. Cooper, Ian & Sercu, Piet & Vanpée, Rosanne, 2013. "The Equity Home Bias Puzzle: A Survey," Foundations and Trends(R) in Finance, now publishers, vol. 7(4), pages 289-416, December.
    24. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    25. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    26. Martin J. Gruber, 2010. "Another Puzzle: The Growth in Actively Managed Mutual Funds," World Scientific Book Chapters, in: Edwin J Elton & Martin J Gruber (ed.), Investments And Portfolio Performance, chapter 7, pages 117-144, World Scientific Publishing Co. Pte. Ltd..
    27. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 371-383.
    28. Elton, Edwin J. & Gruber, Martin J., 2013. "Mutual Funds," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1011-1061, Elsevier.
    29. Hui Ou-Yang, 2003. "Optimal Contracts in a Continuous-Time Delegated Portfolio Management Problem," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 173-208.
    30. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
    31. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1998. "On the Regulation of Fee Structures in Mutual Funds," NBER Working Papers 6639, National Bureau of Economic Research, Inc.
    32. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    More about this item

    Keywords

    Mutual fund menus; screening; linear pricing; closet indexing;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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