In this chapter, we first explain what we mean by a signal, and then we describe some characteristics such as energy, frequency, phase, power spectrum, etc. We show how to analyse it by the means of spectral analysis and Fourier transform. Moreover, as the Fourier transform does not provide any...

In this chapter, I present a specific view of signal processing. I provide the basic definitions regarding what - according to our view - signal processing should be seen as, and I elucidate in this perspective the meaning of a selection of relevant algorithms and approaches.

We ask whether empirical finance market data (Financial Stress Index, swap and equity, emerging and developed, corporate and government, short and long maturity), with their recently observed alternations between calm periods and financial turmoil, could be described by a low-dimensional...

The Black and Scholes call function is widely used for pricing and hedging. In this paper we present a new global approximating formula for the Black and Scholes call function that can be useful for deriving the risk of options i.e. the implied volatility. Lastly we compare, by numerical test,...

This work aims to extend previous research on how a trifactorial stochastic model, which we call CIR3, can be turned into a forecasting tool for energy time series. In particular, in this work, we intend to predict changes in the industrial production of electric and gas utilities.The model...

In this paper, we present the results of a business solution on how to measure credit and counterparty risk with the main focus on OTC derivatives. Moreover, we use this approach to include the measurement of liquidity risk exposure. We explain how we measure the exposure for each counterparty...

In this paper, we present the results of a business solution on how to measure credit and counterparty risk with the main focus on OTC derivatives. Moreover, we use this approach to include the measurement of liquidity risk exposure.We explain how we measure the exposure for each counterparty...

This study addresses market concentration among major corporations, highlighting the utility of relative entropy for understanding diversification strategies. It introduces entropic value at risk (EVaR) as a coherent risk measure, which is an upper bound to the conditional value at risk (CVaR),...