In order to study the geometry of interest rates market dynamics, Malliavin, Mancino and Recchioni [A non-parametric calibration of the HJM geometry: an application of It\^o calculus to financial statistics, {\it Japanese Journal of Mathematics}, 2, pp.55--77, 2007] introduced a scheme, which is...

We propose a way to compute the hedging Delta using the Malliavin weight method. Our approach, which we name the l-method, generally outperforms the standard Monte Carlo finite difference method, especially for discontinuous payoffs. Furthermore, our approach is nonparametric, as we only assume...

This paper analyzes a structural model of corporate debt in the spirit of Leland (1994) model within a more realistic general context where payouts and asymmetric tax-code provisions are introduced. We analytically derive the value of the tax benefit claim in this context and study the joint...

We propose a new methodology based on Fourier analysis to estimate the fourth power of volatility function (spot quarticity) and, as a byproduct, the integrated function. We prove consistency of the proposed estimator of integrated quarticity. Further we analyze its efficiency in the presence of...

In this thesis we explore two recent topics in behavioral finance, namely portfolio optimization by non-expected utility insiders and existence of equilibria in financial markets populated by heterogeneous agents. Firstly, we review a number of theories which have been used to model behavioral...

In this paper a structural model of corporate debt is analyzed following an approach of optimal stopping problem. We extend Leland model [5] introducing a dividend paid to equity holders and studying its effect on corporate debt and optimal capital structure. Varying the parameter affects not...

We consider general stochastic volatility models driven by continuous Brownian semimartinagales, we show that asset price volatility as well as volatility of the volatility ca be reconstructed pathwise by exploiting Fourier analysis from the observation of the asset price. Specifying...

The economic benefit of applying the Fourier covariance estimation methodology over other estimators in the presence of market microstructure noise is studied from the perspective of an asset-allocation decision problem. We find that using Fourier methodology yields statistically significant gains

We propose a way to compute the hedging Delta using the Malliavin weight method. Our approach, which we name the l-method, generally outperforms the standard Monte Carlo finite difference method, especially for discontinuous payoffs. Furthermore, our approach is nonparametric, as we only assume...

We propose a new methodology based on Fourier analysis to estimate the fourth power of the volatility function (spot quarticity) and, as a byproduct, the integrated function. We prove the consistency of the proposed estimator of the integrated quarticity. Further, we analyse its efficiency in...