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...

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...

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>

In this study, we use advance tax rulings (ATR) to investigate the impact of fee-based tax certainty on risky investment decisions of a firm under both cash flow and tax uncertainty. We model and analyze the multi-dimensional nature of tax uncertainty from tax reforms and tax audits in expected...