We propose a decomposition for time series in components classified by levels of persistence. Employing this decomposition, we provide empirical evidence that consumption growth contains predictable components highly correlated with well-known proxies of consumption variability. These components...

type="main" xml:lang="en" <p>We illustrate a numerical simulation method to decompose a portfolio of derivative securities in a linear combination of dynamical risk factors. The price of the portfolio and its sensitivities are linear functions of these factors. <p>The method generalizes the static...</p></p>

This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator...

We propose an extension of the transform approach to option pricing introduced in Duffie, Pan and Singleton (Econometrica 68(6) (2000) 1343–1376) and in Carr and Madan (Journal of Computational Finance 2(4) (1999) 61–73). We term this extension the "coherent state transform" approach, it...

We model the volatility of a single risky asset using a multifactor (matrix) Wishart affine process, recently introduced in finance by Gourieroux and Sufana. As in standard Duffie and Kan affine models the pricing problem can be solved through the Fast Fourier Transform of Carr and Madan. A...

The presence of illiquid assets, such as human wealth or a family owned business, complicates the problem of portfolio choice. This paper is concerned with the problem of optimal asset allocation and consumption in a continuous time model when one asset cannot be traded. This illiquid asset,...

In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...