The following example Dynare mod-files (and more) that solve particular problems encountered in Dynare or are representative for a particular class of models. dynare software to simulate the model under standard RBC parameter values. . Example 2 parameters gam beta delta alpha rhoa rhog sgs; // Parameters. A Dynare code that solves a non-linear model consists of the following parts: The steady state of the model: Example for initial starting values. initval;.

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In the following codes, I employ two methods to solve rational expectations models. The resolution is performed via the dynare package requires Matlab or octave initially developed by Michel Juillard. All theses codes are based on the generalized Schur form to solve a systems of linear expectational difference equations.

The Cobb-Douglas production function now combines labor, physical capital and technology to produce goods: The resources constraint now includes investment: This feature captures the autocorrelation of consumption observed in the data.

Thus the utility function subject to external habits reads as follows: RBC Model with investment adjustment costs Dynare Dgnare Matlab Codes To introduce asset price fluctuations, households supplying investment goods face an investment adjustement costs given by: The law of motion of capital with investment adjustment costs is defined by: These costs drive a wedge between the price of assets and goods and offer a tradeoff beetwen capital goods and riskless bonds.

### Examples — Dynare

CEE introduce variable capital utilization in order to match the data. The amount of capital utilized in the production is: This equation shows that capital requires one period to be installed i.

The Cobb-Douglas production function now combines technology, labor and utilized capital: The variable utilization of capital incurs a variable cost, denoted. Its functional forms is defined by: In equilibrium, the optimal capital utilization is defined by: Journal of Political Economy, 2.

Staggered prices in a utility-maximizing exapmle. Journal exampple monetary Economics, 12 3 Nominal fxample and the dynamic effects of a shock to monetary policy. Journal of political Economy, 1 Cross-border banking flows spillovers in the Eurozone: Evidence from an estimated DSGE model.

Journal of Economic Dynamics and Control, 51, Financial frictions and the extensive margin of activity. Research in Economics, 69 4 Revue d Economie Politique.

## DSGE Dynare Model Matlab Codes

Global banking and the conduct of macroprudential policy in a monetary union. Journal of Macroeconomics, 54, A monetary equilibrium model with transactions costs. An eample dynamic stochastic general equilibrium model of the euro area. Journal of the European economic association, 1 5eynare Shocks and frictions in US business cycles: National bank of belgium working paper, The basic RBC Model. Dynare Codes Matlab Codes Our economy is populated by a large number of householdsthe utility function of the representative household is defined by: The dyynare index is determined by the sum of the current and expected utilities: Additionally, the production function follows a Cobb-Douglas technology: The resources constraint is given by the demand from households and authorities: RBC Model with external habits.

### Dynare – Johannes Pfeifer

Dynare Codes Matlab Codes In this setting, we consider that each household has external consumption habits. RBC Model with investment adjustment costs.

Dynare Codes Matlab Codes To introduce asset price fluctuations, households supplying investment examplf face an investment adjustement costs given by: RBC Model with variable capital utilization. New Keynesian Model codes NK. The New Keynesian Model.

Dynare Codes Matlab Codes The standard New Keynesian model assumes that monopolistic competitive firms are price makers on the good market, but they cannot adjust prices as prices are sticky. There are two ways of introducing nominal rigidities: I present here the Calvo price setting. Among these firms, a fraction is not allowed to set price, then the price remains the same such that. For the share of firms allowed to reset their price, each firm maximizes the expected sum of profits: Finally, to close the model, we suppose that monetary authority controls the nominal interest rates and is concerned by both price and GDP growths.

New Keynesian Model with price indexation. They include in New Keynesian setup an indexation mechanism when firms are setting their price.

In particular in our model, for the fraction of firms not allowed to reset price, their selling price remains the same such that and indexed on past inflation in a proportion.

Concerning the share of firms allowed to reset their price, each firm maximizes the expected sum of profits: We build and estimate a two-country DSGE model with corporate and interbank cross-border loans, Core-Periphery diverging financial cycles and a national implementation of coordinated macroprudential measures based on Countercyclical Capital Buffers.

I provide here the estimated model at the modenot the optimization exercise. We find that country-adjusted macroprudential measures lead to significant welfare gains with respect to a uniform macroprudential policy rule that reacts to union-wide financial developments. However, peripheral countries are the winners from the implementation dyynare macroprudential measures while core countries incur welfare losses, thus questioning the interest of adopting coordinated macroprudential measures with peripheral countries.

Financial Frictions and the Extensive Margin of Activity. We extend the initial dynaee of Bilbiie, Ghironi and Melitz and augment it with real, nominal and financial frictions to exakple a data friendly model.

The model is estimated using Bayesian techniques for the US economy. I share the model which is calibrated on the posterior estimated mean value of deep parameters and shocks, I also share the data involved in the estimation exercise. I cannot give the data, these are internal to ECB and cannot be shared.

The given mod file is calibrated on the estimated parameters and dxample in our paper at the posterior mean. A Simple dynamic 3-equation New Keynesian Model. This paper aims at introducing New Keynesian Macroeconomics for graduate students.