This article extends the previous research on the notion of a standardized call function and how to obtain an approximate model of the Black-Scholes formula via the hyperbolic tangent. Although the Black-Scholes approach is outdated and suffers from many limitations, it is still widely used to...

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...

Italian abstract: Lo scopo principale di questo lavoro è illustrare alcuni utili strumenti per stimare la perdita massima di un portafoglio dovuta ai rischi di credito e di controparte. La crisi finanziaria del 2007/2008 ha evidenziato, tra le altre cose, una inadeguata comprensione e gestione...

Business cycles are complex phenomena which oscillate because of economic downturns and expansions. Recurrence quantification analysis (RQA) detects state changes without necessitating any a priori mathematical assumption and highlight hidden features of the dynamics both at equilibrium and near...

In this paper, we show that a time-dependent local stochastic volatility (SLV) model can be reduced to a system of autonomous PDEs that can be solved using the heat kernel, by means of the Wei-Norman factorization method and Lie algebraic techniques. Then, we compare the results of traditional...

Among professionals and academics alike, it is well known that active portfolio management is unable to provide additional risk-adjusted returns relative to their benchmarks. For this reason, passive wealth management has emerged in recent decades to offer returns close to benchmarks at a lower...

This work aims to demonstrate how a trifactorial stochastic model, which we call CIR3, can be turned into a forecasting tool to predict changes in the industrial production of electric and gas utilities. The model accounts for several stylized facts such as the mean reversion of both the process...

In this paper, we consider the Heston-CIR model with Levy process for pricing in the foreign exchange (FX) market by providing a new formula that better fits the distribution of prices. To do that, first, we study the existence and uniqueness of the solution to this model. Second, we examine the...

Although the probability of default (PD) modeling has reached a great maturity in both academia and business, for the Italian case we demonstrate that banks' available PD models would be misleading if today applied directly to Italian banks. We argue that what determines the PD of Italian banks,...