In the setting of quot;affinequot; jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example...

Traditional portfolio optimization approaches suffer from the drawback of often leading to highly concentrated portfolios. We propose a new kind of optimization focusing on a homogeneous distribution of risk among the portfolio constituents. We describe the underlying ideas of the approach and...

In this study, we generalize the model of Pham (Pham [2003]) to jump diffusion models. Based on (Pham [2003]), we first consider an investment model where we construct a portfolio of a riskless asset and a risky one which is assumed to follow a jump diffusion process so as to overperform a given...

What drives extreme economic events? Motivated by recent theory, and events in US subprime markets, we begin to open the black box of extremes. Specifically, we extend standard economic analysis of extreme risk, allowing for dynamics and endogeneity. We explain how endogenous extremes may arise...

New insights about the connections between stock market volatility and returns, the pricing of long-run claims, or return predictability have recently revived interest in consumption-based equilibrium asset pricing. The recursive utility model is prominently used in these contexts to determine...

What drives extreme and rare economic events? Motivated by recent theory, and events in US subprime markets, we begin to open the black box of extremes. Specifically, we build a taxonomy of extremes, then extend standard economic analysis of extreme risk. First, we model the potentially relevant...

This paper examines the rise of the VAR (Vector AutoRegressive) approach from a historical perspective. It shows that the VAR approach arises from a fusion of the Cowles Commission tradition and time series statistical methods, catalysed by the rational expectations (RE) movement, that the...

Time reversal invariance can be sumarised as follows: no difference can be measured if a sequence of events is run forward or backward in time. Because price time series are dominated by a randomness that hides possible structures and orders, the existence of time reversal invariance requires...

We propose a new concept of modulated bipower variation for diffusion models with microstructure noise. We show that this method provides simple estimates for such important quantities as integrated volatility or integrated quarticity. Under mild conditions the consistency of modulated bipower...