This paper introduces a notion on nonlinear innovation for the ananlysis of nonlinear dynamics. We show that nonlinear processes can be represented as functions of current and lagged values of nonlinear innovations.

We analyse high-frequency data by means of the duration between successive ticks and volume of capital durations. It allows to introduce trading activity and coactivity measures, which may or may not also be volume weighted. Some applications on particular stocks of the PAris Bourse are provided.

The paper investigates the pricing of derivative securities with calendar-time maturities.

This paper studies the implications of absence of arbitrage in economies where: (i) trade takes place in transaction time, (ii) there is a single state variable whose transaction-time price path is binomial, (iii) there are riskfree bonds with calendar-time maturities, and (iv) the relation...

In this paper, we propose an empirical analysis of the presence of adverse selection in an insurance market. We first present a theroetical model of a market with adverse selection and we introduce different issues related to transaction costs, accident costs, risk aversion and moral hazard. We...

The aim of this paper is to analyze the sensitivity of Value at Risk (VaR) with respect to portfolio allocation. We derive analytical expresssions for the first and second derivatives of the Value at Risk, and explain how they can be used to simplify statistical inference and to perform a loval...

In complete markets no arbitrage opportunity implies deterministic relationships between the prices of derivative assets. These actuarial relations are incompatible with the available data and with statistical inference. The aim of this paper is to reconcile risk neutral valuation and...

In this paper, we propose an empirical analysis of the presence of adverse selection in an insurance market. We first present a theoretical model of a market with adverse selection and we introduce different issues related to transaction costs, accident costs, risk aversion and moral hazard. We...