Adaptive learning under constant-gain allows persistent deviations of beliefs from equilibrium so as to more realistically reflect agents' attempt of tracking the continuous evolution of the economy. A characterization of these beliefs is therefore paramount to a proper understanding of the role...

I provide a solution method in the frequency domain for multivariate linear rational expectations models. The method works with the generalized Schur decomposition, providing a numerical implementation of the underlying analytic function solution methods suitable for standard DSGE estimation and...

Matrices, their products, linear systems, and the underlying geometric ideas are presented in an intuitive and practical way for economics students and other students of the social sciences. Python Jupyter notebooks are used to present examples that enforce the geometric ideas

1. Introduction -- 2. Basic Statistics and Functions using R -- 3. Regression Fundamentals -- 4. Simple Linear Regression -- 5. Multiple Regression -- 6. Estimation Intervals and Analysis of Variance -- 7. Predictor Variable Transformations -- 8. Model Diagnostics -- 9. Variable Selection.

This paper extends the existing literature on linear quadratic adjustment cost (LQAC) models under rational expectations to the inferential issues arising when: (i) agents optimise with respect to a vector of endogenous variables; (ii) the behavioural equations stemming from the agent's...

The Hurst exponent is a measure of long-range dependency of a time series. In this paper we present a method of estimation of the Hurst exponent for a time series that corresponds to the price of an asset portfolio. The approach is based on the computation of the R/S ratio (range/standard...

The dynamic properties of micro based stochastic macro models are often analyzed through a linearization around the associated deterministic steady state. Recent literature has investigated the error made by such a deterministic approximation. Complementary to this literature we investigate how...

In order to hedge efficiently, persistently high negative covariances or, equivalently, correlations, between risky assets and the hedging instruments are intended to mitigate against financial risk and subsequent losses. If there is more than one hedging instrument, multivariate covariances and...

We propose a multiplex interdependent durations model with incomplete information structure. The model considers an empirical stopping game involving multiple agents making timing decisions. We characterize the unique Bayesian Nash equilibrium of the stopping game and show that the...