Investors in equilibrium are modeled as facing investor specific risks across the space of assets. Personalized asset pricing models reflect these risks. Averaging across the pool of investors we obtain a market asset pricing model that reflects market risk exposures. It is observed on invoking...

Equity basket correlation is an important risk factor. It characterizes the strength of linear dependence between assets and thus measures the degree of portfolio diversification. It can be estimated both under the physical measure from return series, and under the risk neutral measure from...

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible mutually singular probability measures. With a single probability model, essential equivalence between the absence of arbitrage and the existence of an equivalent martingale...

Many economic and econometric applications require the integration of functions lacking a closed form antiderivative, which is therefore a task that can only be solved by numerical methods. We propose a new family of probability densities that can be used as substitutes and have the property of...

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...

In this paper we consider the optimal stopping problem for general dynamic monetary utility functionals. Sufficient conditions for the Bellman principle and the existence of optimal stopping times are provided. Particular attention is payed to representations which allow for a numerical...

In this paper we consider the problem of pricing and hedging European derivatives written on two underlying assets, when individual marginal distributions are known. Our aim is twofold. First, we conduct a parallel analysis between implied volatility and implied correlation for spread options in...

We characterize time-varying disaster risk using interbank rates and their options. The identification of disaster risk has remained a significant challenge due to the rarity of macroeconomic disasters. We make an identification assumption that macroeconomic disasters coincide with banking...

In this paper I investigate the relation between macroeconomic risk and higher-moment risk premia. I use existing methodology on higher-moment swaps and estimate the excess returns for variance and skewness swaps. I also introduce new methodology for kurtosis swaps. The expected excess returns...

This paper provides new evidence on the risk return relationship by jointly analysing index return and realised variance (RV) series. It is argued that the contemporaneous correlation (CC) between the return and RV, which has been largely overlooked in the literature, is a crucial component in...