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Optimal Investment Strategies for University Endowment Funds

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  • Robert C. Merton

Abstract

A common approach to the management of endowment is to treat it as if it were the only asset of the university. This approach leads to prescriptions for optimal investment and expenditure policies that are essentially the same across universities. Indeed, the resulting optimal portfolio strategies are focused almost exclusively on providing an efficient tradeoff between risk and expected return, a generic objective that is just as applicable to individuals and non-academic institutions as it is to universities. In contrast, the model developed here provides intertemporally optimal investment and expenditure rules for endowment that take account of the university's overall objectives and total resources. The explicit inclusion of other university assets in addition to endowment leads to optimal endowment portfolios that are not efficient in the sense of the risk-return tradeoff. Moreover, two universities with similar objectives and endowments can have very different optimal portfolios and expenditure patterns if their non-endowment sources of cash flow are different. The model also takes account of the uncertainty surrounding the costs of the various activities such as education, research, and knowledge storage that define the purpose of the university. As a result, the analysis reveals a perhaps somewhat latent role for endowment: namely, hedging against unanticipated changes in those costs.

Suggested Citation

  • Robert C. Merton, 1991. "Optimal Investment Strategies for University Endowment Funds," NBER Working Papers 3820, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:3820
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    1. Grossman, Sanford J & Laroque, Guy, 1990. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," Econometrica, Econometric Society, vol. 58(1), pages 25-51, January.
    2. Tobin, James, 1974. "What Is Permanent Endowment Income?," American Economic Review, American Economic Association, vol. 64(2), pages 427-432, May.
    3. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    4. Detemple, J. & Zapatero, F., 1989. "Optimal Consumption-Portfolio Policies With Habit Formation," Papers fb-_90-02, Columbia - Graduate School of Business.
    5. Eisner, Robert, 1974. "Endowment Income, Capital Gains and Inflation Accounting: Discussion," American Economic Review, American Economic Association, vol. 64(2), pages 438-441, May.
    6. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    7. Nichols, Donald A, 1974. "The Investment Income Formula of the American Economic Association," American Economic Review, American Economic Association, vol. 64(2), pages 420-426, May.
    8. Bergman, Yaacov Z., 1985. "Time preference and capital asset pricing models," Journal of Financial Economics, Elsevier, vol. 14(1), pages 145-159, March.
    9. Merton, Robert, 1990. "Capital market theory and the pricing of financial securities," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 11, pages 497-581, Elsevier.
    10. Hansmann, Henry, 1990. "Why Do Universities Have Endowments?," The Journal of Legal Studies, University of Chicago Press, vol. 19(1), pages 3-42, January.
    11. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-534, June.
    12. Fama, Eugene F. & Jensen, Michael C., 1985. "Organizational forms and investment decisions," Journal of Financial Economics, Elsevier, vol. 14(1), pages 101-119, March.
    13. Bodie, Zvi, 1976. "Common Stocks as a Hedge against Inflation," Journal of Finance, American Finance Association, vol. 31(2), pages 459-470, May.
    14. Litvack, James M & Malkiel, Burton G & Quandt, Richard E, 1974. "A Plan for the Definition of Endowment Income," American Economic Review, American Economic Association, vol. 64(2), pages 433-437, May.
    15. Black, Stanley W, 1974. "Endowment Income, Capital Gains and Inflation Accounting: Discussion," American Economic Review, American Economic Association, vol. 64(2), pages 441-442, May.
    16. William D. Nordhaus, 1989. "Risk Analysis in Economics: An Application to University Finances," Cowles Foundation Discussion Papers 924, Cowles Foundation for Research in Economics, Yale University.
    17. Brovender, Shlomo, 1974. "On the Economics of a University: Toward the Determination of Marginal Cost of Teaching Services," Journal of Political Economy, University of Chicago Press, vol. 82(3), pages 657-664, May/June.
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    6. Marie Brière & Zvi Bodie, 2014. "Sovereign Wealth and Risk Management: A Framework for Optimal Asset Allocation of Sovereign Wealth," Post-Print hal-01492603, HAL.
    7. Leippold, Markus & Trojani, Fabio & Vanini, Paolo, 2006. "Equilibrium impact of value-at-risk regulation," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1277-1313, August.
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    11. Caroline M. Hoxby, 2013. "Endowment Management Based on a Positive Model of the University," NBER Chapters, in: How the Financial Crisis and Great Recession Affected Higher Education, pages 15-41, National Bureau of Economic Research, Inc.
    12. Drew M. Anderson, 2019. "What Constitutes Prudent Spending from Private College Endowments? Evidence from Underwater Funds," Education Finance and Policy, MIT Press, vol. 14(1), pages 88-114, Winter.
    13. Isabelle Bajeux-Besnainou & Kurtay Ogunc, 2006. "Spending rules for endowment funds," Review of Quantitative Finance and Accounting, Springer, vol. 27(1), pages 93-107, August.
    14. Sandeep Dahiya & David Yermack, 2018. "Investment Returns and Distribution Policies of Non-Profit Endowment Funds," NBER Working Papers 25323, National Bureau of Economic Research, Inc.
    15. Yan Lau & Harvey S. Rosen, 2015. "Are Universities Becoming More Unequal?," NBER Working Papers 21432, National Bureau of Economic Research, Inc.
    16. Harvey S. Rosen & Alexander J. W. Sappington, 2016. "Impact of Endowment Shocks on Payouts," Working Papers 250, Princeton University, Department of Economics, Center for Economic Policy Studies..
    17. Katharina Schwaiger & Cormac Lucas & Gautam Mitra, 2010. "Alternative decision models for liability-driven investment," Journal of Asset Management, Palgrave Macmillan, vol. 11(2), pages 178-193, June.
    18. Cejnek, Georg & Franz, Richard & Stoughton, Neal M., 2023. "Portfolio Choice with Endogenous Donations - Modeling University Endowments," Journal of Economics and Business, Elsevier, vol. 125.
    19. Rudolf, Markus & Ziemba, William T., 2004. "Intertemporal surplus management," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 975-990, February.
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    21. Muhammad Kashif & Francesco Menoncin & Iqbal Owadally, 2020. "Optimal portfolio and spending rules for endowment funds," Review of Quantitative Finance and Accounting, Springer, vol. 55(2), pages 671-693, August.

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