Policy makers constantly face optimal control problems: what controls allow to achieve certain targets in, e.g., GDP growth or inflation? Conventionally this is done by applying certain linear-quadratic optimization algorithms to dynamic econometric models. Several algorithms extend this...

The linear-quadratic (LQ) optimization is a close to standard technique in the optimal control framework. LQ is very well researched and there are many extensions for more sophisticated scenarios like nonlinear models. Usually, the quadratic objective function is taken as a prerequisite for...

On 4 March 2011, SUERF – The European Money and Finance Forum and the National Bank of Poland jointly organised a conference on the theme of: "Monetary Policy after the Crisis". Following a call for papers with a large number of submissions, the scientific committee selected 9 papers, which...

This chapter aims to provide a hands-on approach to New Keynesian models and their uses for macroeconomic policy analysis. It starts by reviewing the origins of the New Keynesian approach, the key model ingredients and representative models. Building blocks of current-generation dynamic...

The effect of public investment on economic growth is a crucial public policy issue. Empirical research into this question was stimulated by Aschauer (1989), who suggested that public capital has a powerful impact on the productivity of private capital.Aschauer's results were controversial and...

In this paper we analyze the influence of several types of fiscal policies on the process of economic growth, namely on the rate of growth of consumption.We formulate and analyze two types of economic growth models. The first refers to the way in which a consumer-producer agent takes decisions...

The paper analyses the way in which monetary and fiscal policy influences the performances of economic growth and social welfare. The analysis is made on the basis of a dynamic model with discrete variables. The model is with a representative private agent and a government sector consisting of a...

The problem of pricing derivative financial products is central to the theory of capital markets. An option is a financial contract conveying its owner the right of buying or selling a financial asset (underlying asset) at a preset strike price K, at a fixed expiration date T (maturity). Unlike...