In this paper, we show how to calibrate the most usual stochastic processes: arithmetic and geometric Brownian motions,, mean-reverting processes and jump processes. This paper contains also many applications to Canadian financial data. We observe, among other phenomena, that a mean-reverting...

This paper proposes new Hausman-based estimators lying on cumulants optimal instruments. Using these new generated strong instruments in a GMM setting, we obtain new GMM estimators which we call GMM-C and its homologue, the GMM-hm. This procedure improves the method of moments for identifying...

En recourant de plus en plus aux modèles à forme réduite, la théorie de l'évaluation du risque de crédit se distance de plus en plus de l'ingénierie financière traditionnelle qui donne la part belle aux modèles structurels. Bien qu'ils postulent l'absence d'arbitrage, les modèles à...

Plusieurs gestionnaires de portefeuille pensent encore à tort qu’une couverture delta suffit pour protéger leur portefeuille contre les fluctuations des marchés financiers. Mais une augmentation marquée de la volatilité des cours boursiers les décevra dans leurs attentes. Après avoir...

A very promising literature has been recently devoted to the modeling of ultra-high-frequency (UHF) data. Our first aim is to develop an empirical application of Autoregressive Conditional Duration GARCH models and the realized volatility to forecast future volatilities on irregularly spaced...

Monte Carlo simulation has an advantage upon the binomial tree as it can take into account the multidimensions of a problem. However it convergence speed is slower. In this article, we show how this method may be improved by various means: antithetic variables, control variates and low...

In this paper, we simulate portfolios which aim to insure the invested capital. The object of our simulations is the duplication of the cashflows of strategies based on options. We initially show how to duplicate the cash-flows of a call by using a leveraged portfolio of stocks. After, we...

Markets makers quote many option categories in terms of implicit volatility. In doing so, they can reactivate the Black and Scholes model which assumes that the volatility of an option underlying is constant while it is highly variable. First of all, this article, whose purpose is very...

In this paper, we aim at forecasting the stochastic volatility of key financial market variables with the Kalman filter using stochastic models developed by Taylor (1986, 1994) and Nelson (1990). First, we compare a stochastic volatility model relying on the Kalman filter to the conditional...

It is well-known that traditional financial institutions like banks follow procyclical risk strategies (Rajan 2005, 2009, Shin 2009, Jacques 2010) in the sense that they increase their leverage in economic expansions and reduce it in recessions, which leads to a procyclical behaviour for their...