Using a unique proprietary data set of 460 realized buyouts completed between 1990 and 2005, we examine the risk appetite of private equity (PE) sponsors in different states of the PE market and analyze key determinants of deal-level equity risk. We develop a new approach to mathematically model...

Using a unique proprietary data set of 1980 realized and unrealized buyouts completed between 1986 and 2010, we examine entry and exit pricing in buyouts and its influence on private equity (PE) sponsors' returns. We find that besides leverage and operational improvements, EBITDA multiple...

In this paper we examine two models of portfolio optimization. Volatility (standard deviation) constraints as well as shortfall constraints are considered and compared. We present a general condition under which the restriction to a certain risk level concerning volatility can be transformed to...

Using a unique proprietary data set of over 5400 realized and unrealized venture capital investments between 1980 and 2005, we examine the impact of demand-related factors, e.g. entrepreneurial activity, as well as supply-related factors, i.e. money provided by VC investors, on the return of...

Imposing a symmetry condition on returns, Carr and Lee (Math Financ 19(4):523–560, <CitationRef CitationID="CR10">2009</CitationRef>) show that (double) barrier derivatives can be replicated by a portfolio of European options and can thus be priced using fast Fourier techniques (FFT). We show that prices of barrier derivatives in...</citationref>

The probability of a Brownian motion with drift to remain between two constant barriers (for some period of time) is known explicitly. In mathematical finance, this and related results are required, for example, for the pricing of single-barrier and double-barrier options in a Black–Scholes...