Firm-level stock volatility has increased significantly since 1962 and varies widely across industries. Recent literature shows that the excessive and persistent stock volatility can be well explained by fundamental uncertainties. This paper conducted panel data analyses on 415 firms during...

In this paper, we study the following models : Heath-Jarrow-Morton (1992) and Libor-Market- Model, also known as Brace-Gatarek-Musiela model (1997). We survey the extensions of these models and their representation in the Black and Scholes world. Our approach is pedagogical and is based on an...

Dans cet essai, nous présentons deux nouveaux estimateurs qui ont la propriété d’être convergents en présence d’erreurs de mesure sur les variables. Ces estimateurs sont basés sur les cumulants d’ordre deux et trois de la matrice des variables explicatives. Nous présentons...

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...

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...

In a simple firm value model we consider the impact of the insolvency probability on the valuation of equity and debt, which are assumed to be not publicly traded. For the case of a distressed company, which usually has high debt and low equity, we can show that the impact becomes increasingly...

Within the structural approach for credit risk models we discuss the optimal exercise of the callable and convertible bonds. The Vasi˘cek–model is applied to incorporate interest rate risk into the firm’s value process which follows a geometric Brownian motion. Finally, we derive pricing...

Within a default intensity approach we discuss the optimal exercise of the callable and convertible bonds. Pricing bounds for convertible bonds are derived in an uncertain volatility model, i.e. when the volatility of the stock price process lies between two extreme values.