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...

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...

The dependence structure is crucial when modelling several assets simultaneously. We show for a real-data example that the correlation structure between assets is not constant over time but rather changes stochastically, and we propose a multidimensional asset model which fits the patterns found...

Illiquidity is a major issue in today’s risk management, yet there exists no straight-forward quantification of liquidity or illiquidity. We present eight possible measures of liquidity which are partially based on micro-structural market data and examine their evolution over time in the...

For determining an optimal portfolio allocation, parameters representing the underlying market—characterized by expected asset returns and the covariance matrix—are needed. Traditionally, these point estimates for the parameters are obtained from historical data samples, but as experts often...

For determining an optimal portfolio allocation, parameters representing the underlying market—characterized by expected asset returns and the covariance matrix—are needed. Traditionally, these point estimates for the parameters are obtained from historical data samples, but as experts often...

This paper assumes a structural credit model with underlying stochastic volatility combining the Black/Cox approach with the Heston model. We model the equity of a company as a barrier call option on its assets. The assets are assumed to follow a stochastic volatility process; this implies an...