As mentioned in the Introduction, Sect. 1.2, the objective of this book is twofold: to provide a personal specification of a business cycle model within the Kaldor-Kalecki framework (see Chap. 16) and to choose a chaotic specification of the Harrod model (Sportelli and Celi (Metroeconomica...

In this chapter, we describe growth and cycles in economics as a struggle between capitalists and workers. We first present the Phillips curve (which statistically relates unemployment with the rate of change of nominal wages) and then the Goodwin model. The latter reinterprets, in economical...

This chapter is dedicated to describe RQA applications in detecting spatio-temporal recurrent patterns of dynamical regimes of economic time series. Here we investigate the nature of economic dynamics and specifically of business cycles Orlando and Zimatore (Chaos, Solitons Fractals 110:82–94,...

After having illustrated in Chap. 13 the Harrod’s model and a chaotic specification of it, in this Chapter we are going to prove that (1) real data could be obtained by a suitable calibration of model’s parameters, (2) the calibrated model confirms theoretical predictions (Orlando and Della...

FM -- Introduction -- Part I: Mathematical background -- Dynamical systems -- An example of nonlinear dynamical system: The Logistic Map -- Bifurcations -- From local bifurcations to global dynamics: Hopf systems from the applied perspective -- Chaos -- Embedding and mutual information -- Part...

The financial system in the Kingdom of Saudi Arabia (KSA) has a history of relative soundness, particularly in banking, due to comparatively strict and enforced domestic supervision, and supported by what has been for the most part a reasonably robust economy. However, the sector is facing...

This interdisciplinary book argues that the economy has an underlying non-linear structure and that business cycles are endogenous, which allows a greater explanatory power with respect to the traditional assumption that dynamics are stochastic and shocks are exogenous. The first part of this...

Trade 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 highlights hidden features of the dynamics both at equilibrium and near...

This paper aims to summarizing the different approaches in determining the implied volatility for the options. This value is of particular importance since it is the main component of the option's price and because, among traders, options are quoted in terms of volatility rather than price....