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RBC: Mathematica notebook to solve and simulate Real Business Cycle models

Author

Listed:
  • Diallo Ibrahima Amadou

Programming Language

Mathematica

Abstract

This notebook illustrates how to solve and simulate a Real Business Cycle (RBC) model using Mathematica. It starts from finding the first order conditions, then derives the steady-state, log-linearizes and solves the RBC model. After solving the model, the notebook first computes the impulse response functions and then simulates the model. It ends by calculating some second moments statistics of the RBC model. When we want to solve a RBC model, soon or later, we will need to use a software. This notebook demonstrates how to do this using Mathematica without having the need to use paper and pencil to derive the equilibrium conditions and log-linearize the model first, and then use a numerical software to perform the simulations. In this notebook, all these steps are done with Mathematica and fully explained in detail.

Suggested Citation

  • Diallo Ibrahima Amadou, 2012. "RBC: Mathematica notebook to solve and simulate Real Business Cycle models," Statistical Software Components M6B2304, Boston College Department of Economics.
    • Handle: RePEc:boc:bocode:m6b2304
    as

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    File URL: http://fmwww.bc.edu/repec/bocode/s/SolvingAndSimulatingRBCModels.nb
    File Function: program code
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    File URL: http://fmwww.bc.edu/repec/bocode/s/SolvingAndSimulatingRBCModels.pdf
    File Function: documentation
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    More about this item

    Keywords

    Mathematica;

    Statistics

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