For years, research has been conducted to correctly model and predict the risk and return structures of Private Equity (PE) funds. Although past research has revealed valuable insight into the features of those funds, most risk and return model struggle with the dispersion of PE funds' returns,...

The capital asset pricing model (CAPM) for a security is a linear relationship between the expected excess return of the security and the expected excess return of the market. It was developed by William Sharpe, John Lintner and Jan Mossin. It is a useful framework to discuss idiosyncratic and...

This paper shows that the notion of rate of return is best understood through the lens of the average-internal-rate-of-return (AIRR) model, first introduced in Magni (2010a). It is an NPV-consistent approach based on a coherent definition of rate of return and on the notion of Chisini mean, it...

Under mild assumptions, we recover the model-free conditional minimum variance projection of the pricing kernel on various tradeable realized moments of market returns. Recovered conditional moments predict future realizations and give insight into the cyclicality of equity premia, variance risk...

Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

It is shown that the ratio between the mean and the L2-norm leads to a particularly parsimonious description of the mean-variance efficient frontier and the dual pricing kernel restrictions known as the Hansen-Jagannathan (HJ) bounds. Because this ratio has not appeared in economic theory...

Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets and their forwards dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes discounting and portfolio rebalancing, and whose...

We consider a large trader liquidating a portfolio using a transparent trading venue with price impact and a dark pool with execution uncertainty. The optimal execution strategy uses both venues continuously, with dark pool orders over-/underrepresenting the portfolio size depending on return...

We prove an anticipative sufficient stochastic minimum principle in a jump process setup with initially enlarged filtrations. We apply the result to several portfolio selection problems like mean and minimal variance hedging under enlarged filtrations. We also investigate utility maximizing...

This paper develops useful theory of arbitrage and risk arbitrage. It describes a prize winning successful risk arbitrage involving Nikkei put warrants trading on the Toronto and American stock exchanges. The paper describes the various types of contracts and how the risk arbitrage was traded...