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We study the international interbank market through a geometrical and a topological analysis of empirical data. The geometrical analysis of the time series of cross-country liabilities shows that the ...
The potential approach is a general and simple method for modelling interest rates, foreign exchange rates, and in principle other types of financial assets. This paper takes data on some liquid inter...
Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method...
In this paper we investigate model-independent bounds for exotic options written on a risky asset using infinite-dimensional linear programming methods. Using arguments from the theory of Monge-Kant...
To better understand the spatial structure of large panels of economic and nancial time series and provide a guideline for constructing semiparametric models, this paper rst consid- ers estimating...
We introduce a new geometric approach that constructs a transition kernel of Markov chain. Our method always minimizes the av- erage rejection rate and even reduce it to zero in many relevant cases,...
We study stochastic differential equations (SDEs) whose drift and diffusion coefficients are path-dependent and controlled. We construct a value process on the canonical path space, considered simul...
Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across seve...
In this paper we attempt to introduce an econophysics approach to evaluate some aspects of the risks in financial markets. For this purpose, the thermodynamical methods and statistical physics resul...
A system for Operational Risk management based on the computational paradigm of Bayesian Networks is presented. The algorithm allows the construction of a Bayesian Network targeted for each bank using...
We propose an approach to the aggregation of risks which is based on estimation of simple quantities (such as covariances) associated to a vector of dependent random variables, and which avoids the us...

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