In this paper, a closed form path-independent approximation of the fair variance strike for a variance swap under the constant elasticity of variance (CEV) model is obtained by applying the small disturbance asymptotic expansion. The realized variance is sampled continuously in a risk-neutral...

A kind of modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by a split least-squares mixed element method (SLSMEM), which can be split into two independent symmetric positive definite sub-schemes and solved separately. This method is useful for...

The center problem at infinity is far to be solved in general. In this paper we develop a procedure to resolve it for a particular type of polynomial differential systems. The problem is solved by writing its concomitant differential equation in the complex coordinates introduced by Yirong Liu...

In this paper, we study the effects of environmental regulation which establishes binding targets to pollution accumulation. Pollution follows a geometric Brownian motion. Inside the targets, pollution behaves as if it were freely floating until it hits one of the two limits. The model provides...

We study a simple monetary model in which a central bank faces a boundedly rational private sector and has the goal of stabilizing inflation. The system's dynamics is generated by the interaction of the expectations about inflation of the various agents involved. A modest degree of heterogeneity...

The aim of the present paper is to investigate an oligopoly market, modelled by using CES production function in combination with the isoelastic demand function. It is supposed that the competitors act not under constant, but eventually decaying returns, and thus, from time to time they need to...

We analyze a two-country overlapping generations model with integrated financial markets. We assume heterogeneous countries with respect to the population size, to the technology and to the level of credit market imperfection. We show that a subcritical Neimark–Sacker bifurcation may occur and...

The mathematical modeling of the unsaturated flow problem requires the simultaneous resolution of two problems: the Richards equation and the estimation of the hydraulic parameters involved in hydraulic conductivity and in the retention curve. Various techniques have been applied to both...

In this paper, we propose a dynamical model of technology adoption for the exploitation of a renewable natural resource. Each technology has a different efficiency and environmental impact. The process of technology adoption over time is modeled through an evolutionary game employed by profit...

This paper deepens previous studies on the analysis of the fixed (FRMs) and adjustable rate mortgages (ARMs) dynamics and the interconnections between FRMs and ARMs markets. In particular, an econometric analysis on the Italian mortgage markets series from 1997:q1 to 2012:q3 is set up by...