Financial models are largely used in option pricing. These physical models capture several salient features of asset price dynamics. The pricing performance can be significantly enhanced when they are combined with nonparametric learning approaches, that empirically learn and correct pricing...

Do you enjoy chores such as mowing the lawn or, as it is called in Canada, shovelling the snow? Below we discuss a simpler method of trimming the hedge, suggested by Barone-Adesi, Engle and Mancini. Assuming the option price is homogeneous our calculation is model independent and provides delta...

We show that a simple equilibrium model with uncertain growth is able to simultaneously generate patterns in implied volatility and risk aversion that are similar to the ones observed in the data. In addition, the model produces an implied pricing kernel that is increasing for particular levels...

In this article, we describe the various sorts of American Parisian options and propose valuation formulae. Although there is no closed-form valuation for these products in the non perpetual case, we have been able to reformulate their price as a function of the exercise frontier. In the...

We derive a closed-form asymptotic expansion formula for option implied volatility under a two-factor jump-diffusion stochastic volatility model when time-to-maturity is small. Based on numerical experiments we describe the range of time-to-maturity and moneyness for which the approximation is...

This paper concerns the pricing of American options with stochastic stopping time constraints expressed in terms of the states of a Markov process. Following the ideas of Menaldi, Robin, and Sun (1996) we transform the constrained into an unconstrained optimal stopping problem. The...

Institutional but also private investors have often limited flexibility in timing their investment decision. Therefore, they look for investments that would ideally be independent of the timing decision. We introduce a new class of derivative products whose payoff is linked to the trend of the...

In this paper we propose analytical approximations for computing implied volatilities when time-to-maturity t is small. The analysis is performed in the framework of a two-factor model with local and stochastic volatility. We describe an algorithm for building the power series approximation of...

Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomialtrees (IBT) models capture the variations of the implied volatility known as \volatility smile". They provide a discrete...

Real options investment theory predicts current investment falls asuncertainty about market returns increases. In the case of R&D investment,which is usually considered an irreversible form of investment, this effectshould be quite pronounced. This paper tests the real options predictionabout...