Optimal control of dynamic econometric models has a wide variety of applications including economic policy relevant issues. There are several algorithms extending the basic case of a linear-quadratic optimization and taking nonlinearity and stochastics into account, but being still limited in a...

When the central bank sets monetary policy according to a conventional or modified Taylor rule (which is known as the Taylor Principle), does this deliver the best outcome for the mac-roeconomy as a whole? This question is addressed by extending the wavelet-based control (WBC) model of Crowley...

In this PowerPoint presentation we give an overview of yield curves, show how they are modelled and calibrated and give a brief overview of LIBOR reform.Firstly we explain how to calibrate curves to imply forward rates & discount factors. Secondly, we outline the interpolation, optimization and...

In this paper we outline the Lagrangian constrained optimization method to solve complex problems subject to constraints. Firstly we summarize the Lagrangian constrained optimization routine. Secondly we outline a detailed implementation strategy. Thirdly and finally we provide example and solve...

Yield curves are used to imply the forward rates and discount factors from market tradable instruments and are required to discount future cash flows and evaluate the price of all financial contracts. Not all instruments can be included in the yield curve calibration or fitting process, hence we...

We derive a 2nd-order approximation of optimal policy in a broad class of nonlinear DSGE models. Using a cubic expansion of welfare and a quadratic expansion of the economyís equilibrium conditions, the Quadratic-Cubic (QC) approximation relaxes symmetry in the objective function and certainty...

With non-controllable auto-regressive shocks, the welfare of Ramsey optimal policy is the solution of a single Riccati equation of a linear quadratic regulator. The existing theory by Hansen and Sargent (2007) refers to an additional Sylvester equation but miss another equation for computing the...

This essay studies the optimal timing for a firm to adopt a new process innovation in the presence of learning. A policy that has been implemented by governments throughout the world to reduce the cost level of infant industries with positive externalities, is to either subsidize the research of...

Catastrophic risk is currently a hotly debated topic. This paper contributes to this debate by showing two results. First it shown that the value function in dynamic optimization can have an infinite derivative at some point even if the model specification has functional forms that are finite...