Stochastic modeling of private equity: an equilibrium based approach to fund valuation
AbstractIn this paper, we present a new approach to measure the returns of private equity investments based on a stochastic model of the dynamics of a private equity fund. Our stochastic model of a private equity fund consists of two independent stages: the stochastic model of the capital drawdowns and the stochastic model of the capital distributions over a fund's lifetime. Capital distributions are assumed to follow lognormal distributions in our approach. A mean-reverting square-root process is applied to model the rate at which capital is drawn over time. Applying equilibrium intertemporal asset pricing consideration, we are able to derive closed-form solutions for the market value and time-weighted model returns of a private equity fund. --
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Bibliographic InfoPaper provided by Center for Entrepreneurial and Financial Studies (CEFS), Technische Universität München in its series CEFS Working Paper Series with number 2006-02.
Date of creation: 2006
Date of revision:
Private Equity Funds; Stochastic Modeling; Mean-Reverting Square-Root Process; Incomplete Markets;
Find related papers by JEL classification:
- G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
- Diller, Christian & Kaserer, Christoph, 2004. "European private equity funds: A cash flow based performance analysis," CEFS Working Paper Series 2004-01, Center for Entrepreneurial and Financial Studies (CEFS), Technische Universität München.
- 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.
- Kaserer, Christoph & Wagner, Niklas & Achleitner, Ann-Kristin, 2003. "Managing investment risks of institutional private equity investors: The challenge of illiquidity," CEFS Working Paper Series 2003-01, Center for Entrepreneurial and Financial Studies (CEFS), Technische Universität München.
- Inderst, Roman & Muller, Holger M., 2004. "The effect of capital market characteristics on the value of start-up firms," Journal of Financial Economics, Elsevier, vol. 72(2), pages 319-356, May.
- Alexander Ljungqvist & Matthew Richardson, 2003. "The cash flow, return and risk characteristics of private equity," NBER Working Papers 9454, National Bureau of Economic Research, Inc.
- 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.
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