The files below demonstrate how to calibrate the neoclassical growth model and then solve the model numerically, using data from Finland as an example. You can download all files at once by clicking "create the zip" or you can download individual files by clicking on the title or selecting "download" from the action column.
BaseCaseCalibration.xls calibrates model parameters and derives a sequence of TFP values in the ‘calibration’ worksheet. The parameters are also saved in paramBase.txt, and the series of TFP values along with labor endowment and taxes are saved in dataBase.txt. The MATLAB program depressions.m uses these text files and solveModel.m to solve the model numerically. The output this program saves to output.xls can be used to generate the graphs in BaseCaseCalibration.xls.
These files can be used to model any economy over any period by replacing the data in BaseCaseCalibration.xls and saving the results in the correct format to paramBase.txt and dataBase.txt. The files below contain an overview of the calibration procedures, the MATLAB programs, and instructions on using the files on your own data. More details can be found in the files themselves.
Creator: Glosten, Lawrence R., Jagannathan, Ravi, and Runkle, David Edward Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 505 Abstract:
Earlier researchers have found either no relation or a positive relation between the conditional expected return and the conditional variance of the monthly excess return on stocks when they used the standard GARCH-M model. This is in contrast to the negative relation found when other approaches were used to model conditional variance. We show that the difference in the estimated relation arises because the standard GARCH-M model is misspecified. When the standard model is modified allow for (i) the presence for seasonal patterns in volatility, (ii) positive and negative innovations to returns to having different impacts on conditional volatility, and (iii) nominal interest rates to affect conditional variance, we once again find support for a negative relation. Using the modified GARCH-M model, we also show that there is little evidence to support the traditional view that conditional volatility is highly persistent. Also, positive unanticipated returns result in a downward revision of the conditional volatility whereas negative unanticipated returns result in an upward revision of conditional volatility of a similar magnitude. Hence the time series properties of the monthly excess return on stocks appear to be substantially different from that of the daily excess return on stocks.
Keyword: Stock market, Rate of return, Risk, Asset valuation, Return rate, and Stocks Subject (JEL): G12 - Asset Pricing; Trading Volume; Bond Interest Rates and G11 - Portfolio Choice; Investment Decisions
Creator: Boyd, John H. and Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 512 Abstract:
We investigate ex-ante efficient contracts in an environment in which implementation is costless. In this environment, standard debt contracts will typically not be optimal. Optimal contracts may involve defaults, even in states in which the borrower is fully able to repay. We then examine the welfare costs of arbitrarily restricting the set of feasible contracts to standard debt contracts. When model parameters are calibrated to realistic values, the welfare loss from exogenously imposing this restriction is extremely small. Thus, if the implementation costs are actually nontrivial (as seems likely), standard debt contracts will be (very close to) optimal.
Keyword: CSV, Optimal contract, CESV, Standard debt contract, Ex ante contract, Costly state verification, Loans, Financial contract, Bankruptcy, Costly ex-post state verification, Contracts, and Debt Subject (JEL): G10 - General Financial Markets: General (includes Measurement and Data) and D86 - Economics of Contract: Theory
Creator: Aiyagari, S. Rao Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 518 Abstract:
This paper is about a useful way of taking account of frictions in asset pricing and macroeconomics. I start by noting that complete frictionless markets models have a number of empirical deficiencies. Then I suggest an alternative class of models with incomplete markets and heterogenous agents which can also accommodate a variety of other frictions. These models are quantitatively attractive and computationally feasible and have the potential to overcome many or all of the empirical deficiencies of complete frictionless markets models. The incomplete markets model can also differ significantly from the complete frictionless markets model on some important policy questions.
Keyword: Macroeconomics, Incomplete markets, Frictionless market model, Asset pricing, and Friction Subject (JEL): G12 - Asset Pricing; Trading Volume; Bond Interest Rates and E13 - General Aggregative Models: Neoclassical
Creator: Boyd, John H. and Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 522 Abstract:
We consider a two country growth model with international capital markets. These markets fund capital investment in both countries, and operate subject to a costly state verification (CSV) problem. Investors in each country require some external finance, but also provide internal finance, which mitigates the CSV problem. When two identical (except for their initial capital stocks) economies are closed, they necessarily converge monotonically to the same steady state output level. Unrestricted international financial trade precludes otherwise identical economies from converging, and poor countries are necessarily net lenders to rich countries. Oscillation in real activity and international capital flows can occur.
Keyword: CSV, Open economy, International lending, Costly state verification, Capital investment, Closed economy, Credit rationing, International capital markets, and Credit Subject (JEL): F34 - International Lending and Debt Problems and O16 - Economic Development: Financial Markets; Saving and Capital Investment; Corporate Finance and Governance
Creator: Greenwood, Jeremy, 1953- and Jovanovic, Boyan, 1951- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 446 Abstract:
A paradigm is presented where both the extent of financial intermediation and the rate of economic growth are endogenously determined. Financial intermediation promotes growth because it allows a higher rate of return to be earned on capital, and growth in turn provides the means to implement costly financial structures. Thus, financial intermediation and economic growth are inextricably linked in accord with the Goldsmith-McKinnon-Shaw view on economic development. The model also generates a development cycle reminiscent of the Kuznets hypothesis. In particular, in the transition from a primitive slow-growing economy to a developed fast-growing one, a nation passes through a stage where the distribution of wealth across the rich and poor widens.
Keyword: Kuznets curve, Rate of return, Income gap, Income distribution, Growth rate, and Financial intermediation Subject (JEL): G00 - Financial Economics: General and O11 - Macroeconomic Analyses of Economic Development
Creator: Aiyagari, S. Rao and Peled, Dan Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 503 Abstract:
It is often argued that with a positively skewed income distribution (median less than mean) a majority voting over proportional tax rates would result in higher tax rates than those that maximize average welfare, and will accordingly reduce aggregate savings. We reexamine this view in a capital accumulation model, in which distorting redistributive taxes provide insurance against idiosyncratic shocks, and income distributions evolve endogenously. We find small differences of either sign between the tax rates set by a majority voting and a utilitarian government, for reasonable parametric specifications. We show how these differences reflect a greater responsiveness of a utilitarian government to the average need for the insurance provided by the tax-redistribution scheme. These conclusions remain true despite the fact that the model simulations produce positively skewed distributions of total income across agents.
Keyword: Votes, Taxes, and Income distribution Subject (JEL): E62 - Fiscal Policy and D72 - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
Creator: Williamson, Stephen D. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 405 Abstract:
A model is constructed where banks provide access to a communication technology which facilitates trade. Bank liabilities may coexist with alternative means of payment in equilibrium, and there exist regions of the parameter space where banking dominates the payments system and where physical exchange media dominate. The model is consistent with some observations concerning the role of the banking system in economic development, and with characteristics of banking crises. In particular, in early stages of economic development: 1) rapid output growth is accompanied by an increasing share of banking in transactions activity and 2) there are recurrent banking "panics" where reductions in measured aggregate output coincide with increases in the use of alternative means of payment relative to bank liabilities. In later stages of development, growth slackens off, the share of banking in the payments system stabilizes and the economy is less likely to be subject to banking panics.
Keyword: Financial panic, Banks, Banking panics, Communication cost, and Communication technology Subject (JEL): G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages and O33 - Technological Change: Choices and Consequences; Diffusion Processes