Asset Management

Commodities

Credit Derivatives

Non-Gaussianity

Liquidity

Others  (Market Risk, Incomplete Markets)

 

 

 

 


Asset Management 

 

Portfolio Optimization when assets have the gaussian mixture distribution.

 

Distressed considerations in the construction of hedge fund portfolios.

 

The Brennan-Schwartz context for asset allocation.

 

 


Commodities

 

Multivariate Affine Models for Futures Prices. 

 

Residual Model for Futures Prices. 

 

Mathematical Treatment of Commodity Markets. 

 

Stochastic Processes Estimation. Energy Markets. 

 

Term structure of commodities futures: forecasting and pricing  

 

Pricing derivatives on commodity futures prices.


Credit Derivatives

 

Review of CDOs Pricing Models..

 

Dependences Structures and the Pricing CDOs..

 

Valuation of Collateralized Fund Obligation.

 

Defaultable Forward Contracts. 

 

Pricing nth dimensional Barrier Derivatives.

 

Pricing credit derivatives and credit risk. 

 

 


Non-Gaussianity

 

New families of distributions fitting L-moments for modeling financial data.

 

A theoretical comparison between moments and L-moments.

 

Stable distribution: A survey on simulation and calibration methodologies.

 

Estimating the spectral measure of a multivariate stable distribution via spherical harmonic analysis.

 

Nongaussian Multivariate Simulations in Mark-to-Future calculations.

 

Applications of descriptive measures in Risk Management.

 

Measures of dependence for multivariate Levy distributions.

 

Analytical methods for multivariate stable probability distributions.

 

Non-Gaussian Univariate Distributions.

 

 


Liquidity

 

Liquidity Risk Estimation: Non-Gaussian AR Models and Quantile Expansions. 

 

Liquidity adjustment of VaR.

 

Models for Liquidity Risk.

 

 

 


Others 

 

Market Risk

 

Principal component Value-at-Risk (2001)

 

Principal component Value-at-Risk (2000)

 

Harmonic Analysis in Value at Risk Calculations, 

 

Modelling and Estimation of Financial Time Series. Non-Gaussian ARMA models.

 

Extreme Value Theory techniques for scenario generation.

 

Gaussian Processes for Financial Time Series, a C++ Implementation,.

 

Viscosity solutions for non-linear degenerate partial differential equations and some of its applications.

 

Asymptotic Expansion for Value at Risk.

 

 

Incomplete Markets

 

Mathematical Problems in the Theory of Incomplete Markets.

 

Applications of Optimization to Mathematical Finance.