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. --
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - German National Library of Economics).
If references are entirely missing, you can add them using this form.