In [2], and [13], financial models based on the Wick product, and White Noise formalism are suggested. Although the original purpose is to incorporate integrals with respect to fractional Brownian motion, it is also pointed out in these articles, that this leads naturally to a quantum mechanical...

We present an econometric method for estimating the parameters of a diffusion model from discretely sampled data. The estimator is transparent, adaptive, and inherits the asymptotic properties of the generally unattainable maximum likelihood estimator. We use this method to estimate a new...

Techniques of regulated Brownian motion are used to analyze the behavior of the exchange rate when official policy reaction functions are subject to future stochastic changes. We examine exchange-rate dynamics in alternative cases where the authorities promise (i) to confine a floating rate...

Even though a consensus has been reached a long time ago that the interest rate is a stochastic process, most of the existing works on dynamic mean-downside risk portfolio selection still focus on a deterministic interest rate. This work studies a dynamic mean-downside risk portfolio selection...

We devise a new high-frequency covariance matrix estimator based on price durations which is guaranteed to be positive-definite. Both non-parametric and parametric versions are proposed. A comprehensive Monte Carlo simulation shows that this class of estimators are less biased, more efficient,...

This paper addresses the following question: How can a financial institution, which has issued a European option, optimally hedge the payoff of this option by investing into the underlying stock and into the option itself? Here, optimality is measured in terms of minimal variance and the...

In this paper we provide a novel family of stochastic orders that generalizes second order stochastic dominance, which we call the $\alpha,[a,b]$-concave stochastic orders. These stochastic orders are generated by a novel set of ``very" concave functions where $\alpha$ parameterizes the degree...

Experimental work regularly finds that individual choices are not rationalized. Nonetheless, recent work shows that data collected from many individuals can be stochastically rationalized by a distribution of well-defined preferences. We study the relationship between deterministic and...

Jump models switch infrequently between states to fit a sequence of data while taking the ordering of the data into account. We propose a new framework for joint feature selection, parameter and state-sequence estimation in jump models. Feature selection is necessary in high-dimensional settings...

In the present work, the European option pricing SWIFT method is extended for Heston model calibration. The computation of the option price gradient is simplified thanks to the knowledge of the characteristic function in closed form. The proposed calibration machinery appears to be extremely...