The most common approach for default dependence modelling is at present copula functions. Within this framework, the paper examines factor copulas, which are the industry standard, together with their latest development, namely the incorporation of sudden jumps to default instead of a pure...

Asset price bubbles can arise unintentionally when one uses continuous-time diffusion processes to model financial quantities. We propose a flexible damped diffusion framework that is able to break many types of bubbles and preserve the martingale pricing approach. Damping can be done on either...

In his paper we introduce a quantile-based risk measure for multivariate financial positions "the vector-valued Tail-conditional-expectation (TCE)". We adopt the framework proposed by Jouini, Meddeb, and Touzi [9] to deal with multi-assets portfolios when one accounts for frictions in the...

We study the problem of finding the minimal initial capital needed in order to hedge without risk a barrier option when the vector of proportions of wealth invested in each risky asset is constraint to lie in a closed convex domain. In the context of a Brownian diffusion model, we provide a PDE...

This study develops a stress-testing framework to assess liquidity risk of banks, where liquidity and default risks can stem from the crystallisation of market risk arising from a prolonged period of negative asset price shocks. In the framework, exogenous asset price shocks increase banks¡¯...

This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...

Market participants use leveraged derivatives to gain access to equity market exposure through broker banks. Leverage and interconnectedness via overlapping portfolios of dealer banks can amplify adverse market movements, potentially causing sizeable losses. I propose a model, based on granular...

Stricter derivative margin requirements have increased the demand for liquid collateral but euro area investment funds which use derivatives extensively have been reducing their liquid asset holdings. Using transaction-by-transaction derivatives data, we assess whether the current levels of...

En este artículo, los autores pretenden mostrar y explicar cómo la Teoría de Lie se puede aplicar a la resolución de algunos problemas relativos a la Economía y a las Finanzas. Concretamente, se realiza un análisis de dos de esos problemas y se discuten tanto sus aspectos matemáticos como...

The valuation theory for American Contingent Claims, due to Bensoussan (1984) and Karatzas (1988), is extended to deal with constraints on portfolio choice, including incomplete markets and borrowing/short-selling constraints, or with different interest rates for borrowing and lending. In the...