Arbeitspapier

Stochastic modeling of private equity: an equilibrium based approach to fund valuation

In 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.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 2006-02

Klassifikation
Wirtschaft
Investment Banking; Venture Capital; Brokerage; Ratings and Ratings Agencies
Incomplete Markets
Contingent Pricing; Futures Pricing; option pricing
Thema
Private Equity Funds
Stochastic Modeling
Mean-Reverting Square-Root Process
Incomplete Markets
Private Equity
Investmentfonds
Wertpapieranalyse
Rendite
Risiko
Stochastischer Prozess
Theorie

Ereignis
Geistige Schöpfung
(wer)
Buchner, Axel
Kaserer, Christoph
Wagner, Niklas
Ereignis
Veröffentlichung
(wer)
Technische Universität München, Center for Entrepreneurial and Financial Studies (CEFS)
(wo)
München
(wann)
2006

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Buchner, Axel
  • Kaserer, Christoph
  • Wagner, Niklas
  • Technische Universität München, Center for Entrepreneurial and Financial Studies (CEFS)

Entstanden

  • 2006

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