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Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods

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Cited by:

  1. John Duffy & Paul D. McNelis, "undated". "Approximating and Simulating the Real Business Cycle: Linear Quadratic Methods, Parameterized Expectations and Genetic Algorithms," Computing in Economics and Finance 1997 63, Society for Computational Economics.
  2. Harald Uhlig, 2006. "Approximate Solutions to Dynamic Models - Linear Methods," SFB 649 Discussion Papers SFB649DP2006-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  3. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
  4. Chase Coleman & Spencer Lyon & Lilia Maliar & Serguei Maliar, 2021. "Matlab, Python, Julia: What to Choose in Economics?," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1263-1288, December.
  5. Richard Evans & Kerk Phillips, 2014. "OLG Life Cycle Model Transition Paths: Alternate Model Forecast Method," Computational Economics, Springer;Society for Computational Economics, vol. 43(1), pages 105-131, January.
  6. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
  7. Pizer, William A., 1999. "The optimal choice of climate change policy in the presence of uncertainty," Resource and Energy Economics, Elsevier, vol. 21(3-4), pages 255-287, August.
  8. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
  9. Fair, Ray C & Taylor, John B, 1990. "Full Information Estimation and Stochastic Simulation of Models with Rational Expectations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(4), pages 381-392, Oct.-Dec..
  10. Rioja, Felix K., 1999. "Productiveness and welfare implications of public infrastructure: a dynamic two-sector general equilibrium analysis," Journal of Development Economics, Elsevier, vol. 58(2), pages 387-404, April.
  11. den Haan, Wouter J., 1995. "The term structure of interest rates in real and monetary economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 909-940.
  12. Ueda, Atsuko, 2000. "A Growth Model of "Miracle" in Korea," Journal of Policy Modeling, Elsevier, vol. 22(1), pages 43-59, January.
  13. Boppart, Timo & Krusell, Per & Mitman, Kurt, 2018. "Exploiting MIT shocks in heterogeneous-agent economies: the impulse response as a numerical derivative," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 68-92.
  14. S. Sirakaya & Stephen Turnovsky & M. Alemdar, 2006. "Feedback Approximation of the Stochastic Growth Model by Genetic Neural Networks," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 185-206, May.
  15. Yannis M. Ioannides & Vassilis A. Hajivassiliou, 2007. "Unemployment and liquidity constraints," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 479-510.
  16. Lars Grüne & Willi Semmler, 2007. "Asset pricing with dynamic programming," Computational Economics, Springer;Society for Computational Economics, vol. 29(3), pages 233-265, May.
  17. Lilia Maliar & Serguei Maliar & John B. Taylor & Inna Tsener, 2020. "A tractable framework for analyzing a class of nonstationary Markov models," Quantitative Economics, Econometric Society, vol. 11(4), pages 1289-1323, November.
  18. Judd, Kenneth L., 1996. "Approximation, perturbation, and projection methods in economic analysis," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 12, pages 509-585, Elsevier.
  19. Posch, Olaf, 2011. "Risk premia in general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1557-1576, September.
  20. Coleman, Wilbur John, II, 1993. "Solving Nonlinear Dynamic Models on Parallel Computers," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 325-330, July.
  21. Ambler, Steve & Paquet, Alain, 1997. "Recursive methods for computing equilibria of general equilibrium dynamic Stackelberg games," Economic Modelling, Elsevier, vol. 14(2), pages 155-173, April.
  22. David R.F. Love, 2009. "Accuracy of Deterministic Extended-Path Solution Methods for Dynamic Stochastic Optimization Problems in Macroeconomics," Working Papers 0907, Brock University, Department of Economics.
  23. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
  24. Grishchenko, Olesya V., 2011. "Asset pricing in the production economy subject to monetary shocks," Journal of Economics and Business, Elsevier, vol. 63(3), pages 187-216, May.
  25. Francisco Blasques, 2014. "Transformed Polynomials For Nonlinear Autoregressive Models Of The Conditional Mean," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(3), pages 218-238, May.
  26. Jermann, Urban J., 2002. "International portfolio diversification and endogenous labor supply choice," European Economic Review, Elsevier, vol. 46(3), pages 507-522, March.
  27. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-952, July.
  28. Bobenrieth H., Eugenio S.A. & Bobenrieth H., Juan R.A. & Wright, Brian D., 2008. "A foundation for the solution of consumption-saving behavior with a borrowing constraint and unbounded marginal utility," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 695-708, March.
  29. Berardi, Michele & Duffy, John, 2015. "Real-Time, Adaptive Learning Via Parameterized Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 19(2), pages 245-269, March.
  30. Marco Maria Sorge, 2010. "A note on Kalman filter approach to solution of rational expectations models," Economics Bulletin, AccessEcon, vol. 30(3), pages 2002-2009.
  31. Campbell, John Y., 1994. "Inspecting the mechanism: An analytical approach to the stochastic growth model," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 463-506, June.
  32. Adda, Jerome & Boucekkine, Raouf, 1995. "Liquidity constraints and time non-separable preferences: simulating models with large state spaces," UC3M Working papers. Economics 3911, Universidad Carlos III de Madrid. Departamento de Economía.
  33. Uhlig, H.F.H.V.S., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 1995-97, Tilburg University, Center for Economic Research.
  34. Reiter, Michael, 1997. "Chow's method of optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 723-737, May.
  35. Raahauge, Peter, 2006. "Upper Bounds on Numerical Approximation Errors," Working Papers 2004-4, Copenhagen Business School, Department of Finance.
  36. Valles, Javier, 1997. "Aggregate investment in a business cycle model with adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1181-1198, June.
  37. Paul Pichler, 2007. "On the accuracy of low-order projection methods," Economics Bulletin, AccessEcon, vol. 3(50), pages 1-8.
  38. Serguei Maliar & John Taylor & Lilia Maliar, 2016. "The Impact of Alternative Transitions to Normalized Monetary Policy," 2016 Meeting Papers 794, Society for Economic Dynamics.
  39. Isaiah Hull & Or Sattath & Eleni Diamanti & Göran Wendin, 2024. "Quantum Technology for Economists," Contributions to Economics, Springer, number 978-3-031-50780-9.
  40. Boucekkine, Raouf & Juillard, Michel & Malgrange, Pierre, 1997. "Precision Performances of Terminal Conditions for Short Time Horizons Forward-Looking Systems," Computational Economics, Springer;Society for Computational Economics, vol. 10(2), pages 169-186, May.
  41. Germán Rojas A., 1991. "Economía dinámica y el enfoque recursivo," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 6(1), pages 143-153.
  42. Karp, Larry S. & Zhang, Jiangfeng, 2001. "Bayesian Learning and the Regulation of Greenhouse Gas Emissions," CUDARE Working Papers 6214, University of California, Berkeley, Department of Agricultural and Resource Economics.
  43. José Cao-Alvira, 2010. "Finite Elements in the Presence of Occasionally Binding Constraints," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 355-370, April.
  44. Stephanie Becker & Lars Grüne & Willi Semmler, 2007. "Comparing accuracy of second-order approximation and dynamic programming," Computational Economics, Springer;Society for Computational Economics, vol. 30(1), pages 65-91, August.
  45. Gallant, A. Ronald & Tauchen, George, 2002. "Simulated Score Methods and Indirect Inference for Continuous-time Models," Working Papers 02-09, Duke University, Department of Economics.
  46. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
  47. Gordon, Stephen, 1996. "How long is the firm's forecast horizon?," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1145-1176.
  48. Akdeniz, Levent & Dechert, W. Davis, 1997. "Do CAPM results hold in a dynamic economy? A numerical analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 981-1003, June.
  49. Geweke, John, 1996. "Monte carlo simulation and numerical integration," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 15, pages 731-800, Elsevier.
  50. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
  51. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 2002. "An approximation algorithm for optimal consumption/investment problems," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 11(2), pages 55-69, April.
  52. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2009. "Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models," NBER Working Papers 15296, National Bureau of Economic Research, Inc.
  53. Urban J. Jermann, 1997. "International portfolio diversification and labor/leisure choice," Discussion Paper / Institute for Empirical Macroeconomics 119, Federal Reserve Bank of Minneapolis.
  54. Jeremy Berkowitz, 1996. "Generalized spectral estimation," Finance and Economics Discussion Series 96-37, Board of Governors of the Federal Reserve System (U.S.).
  55. Peter Woehrmann & Willi Semmler & Martin Lettau, "undated". "Nonparametric Estimation of the Time-varying Sharpe Ratio in Dynamic Asset Pricing Models," IEW - Working Papers 225, Institute for Empirical Research in Economics - University of Zurich.
  56. Sustek, Roman, 2009. "Nonconvex Margins of Output Adjustment and Aggregate Fluctuations," MPRA Paper 17486, University Library of Munich, Germany.
  57. Geweke, J. & Joel Horowitz & Pesaran, M.H., 2006. "Econometrics: A Bird’s Eye View," Cambridge Working Papers in Economics 0655, Faculty of Economics, University of Cambridge.
  58. Jeffrey C. Fuhrer & C. Hoyt Bleakley, "undated". "Computationally Efficient Solution and Maximum Likelihood Estimation of Nonlinear Rational Expectations Models," Computing in Economics and Finance 1997 35, Society for Computational Economics.
  59. Marcet, Albert & Singleton, Kenneth J., 1999. "Equilibrium Asset Prices And Savings Of Heterogeneous Agents In The Presence Of Incomplete Markets And Portfolio Constraints," Macroeconomic Dynamics, Cambridge University Press, vol. 3(2), pages 243-277, June.
  60. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
  61. Francisco (F.) Blasques & Marc Nientker, 2019. "Transformed Perturbation Solutions for Dynamic Stochastic General Equilibrium Models," Tinbergen Institute Discussion Papers 19-012/III, Tinbergen Institute, revised 09 Feb 2020.
  62. Tapan Mitra & Santanu Roy, 2023. "Stochastic growth, conservation of capital and convergence to a positive steady state," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 311-351, July.
  63. Posch, Olaf & Trimborn, Timo, 2013. "Numerical solution of dynamic equilibrium models under Poisson uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2602-2622.
  64. Kollmann, Robert, 1991. ""Essays on International Business Cycles", PhD thesis, Economics Department, University of Chicago, 1991," MPRA Paper 69905, University Library of Munich, Germany.
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  66. Bernhard Eckwert & Burkhard Drees, 2006. "Implications of Better Information for Technological Development and Welfare," EcoMod2006 272100022, EcoMod.
  67. John B. Taylor, 2002. "The Monetary Transmission Mechanism and the Evaluation of Monetary Policy Rules," Central Banking, Analysis, and Economic Policies Book Series, in: Norman Loayza & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy: Rules and Transmission Mechanisms, edition 1, volume 4, chapter 2, pages 021-046, Central Bank of Chile.
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  69. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
  70. Schenk-Hoppe, Klaus Reiner, 2005. "Poverty traps and business cycles in a stochastic overlapping generations economy with S-shaped law of motion," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 275-288, June.
  71. Lawrence J. Christiano, 1989. "Understanding Japan's saving rate: the reconstruction hypothesis," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 13(Spr), pages 10-25.
  72. Jesús Fernández-Villaverde & Isaiah J. Hull, 2023. "Dynamic Programming on a Quantum Annealer: Solving the RBC Model," NBER Working Papers 31326, National Bureau of Economic Research, Inc.
  73. Stemp, Peter J. & Herbert, Ric D., 2003. "Calculating short-run adjustments: Sensitivity to non-linearities in a representative agent framework," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 357-379, January.
  74. Posch, Olaf & Trimborn, Timo, 2010. "Numerical solution of continuous-time DSGE models under Poisson uncertainty," Hannover Economic Papers (HEP) dp-450, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  75. Bona, Jerry L. & Santos, Manuel S., 1997. "On the Role of Computation in Economic Theory," Journal of Economic Theory, Elsevier, vol. 72(2), pages 241-281, February.
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  77. Pizer, William A., 1997. "Optimal Choice of Policy Instrument and Stringency Under Uncertainty: The Case of Climate Change," Discussion Papers 10582, Resources for the Future.
  78. Lettau, M. & Uhlig, H.F.H.V.S., 1995. "Rule of Thumb and Dynamic Programming," Other publications TiSEM 30ad8072-6a3b-4e5b-8227-9, Tilburg University, School of Economics and Management.
  79. Schmidt, Sebastian & Wieland, Volker, 2013. "The New Keynesian Approach to Dynamic General Equilibrium Modeling: Models, Methods and Macroeconomic Policy Evaluation," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1439-1512, Elsevier.
  80. Ignacio Mauleón, 1998. "Interest rate expectations and the exchange rate," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 4(2), pages 179-191, May.
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  82. Kollmann, Robert & Maliar, Serguei & Malin, Benjamin A. & Pichler, Paul, 2011. "Comparison of solutions to the multi-country Real Business Cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 186-202, February.
  83. Frank Schorfheide, 2000. "Loss function-based evaluation of DSGE models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(6), pages 645-670.
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  86. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 3-17.
  87. repec:ebl:ecbull:v:3:y:2007:i:50:p:1-8 is not listed on IDEAS
  88. Tauchen, George E., 1995. "New Minimum Chi-Square Methods in Empirical Finance," Working Papers 95-42, Duke University, Department of Economics.
  89. Richard Pierse, 2006. "Terminal conditions in forward-looking economic models," School of Economics Discussion Papers 1006, School of Economics, University of Surrey.
  90. Dissou, Yazid & Karnizova, Lilia, 2016. "Emissions cap or emissions tax? A multi-sector business cycle analysis," Journal of Environmental Economics and Management, Elsevier, vol. 79(C), pages 169-188.
  91. Willi Semmler & Lars Grüne, 2004. "Asset Pricing with Delayed Consumption Decisions," Computing in Economics and Finance 2004 59, Society for Computational Economics.
  92. Ariel Pakes & Paul McGuire, 1994. "Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model," RAND Journal of Economics, The RAND Corporation, vol. 25(4), pages 555-589, Winter.
  93. Serena Ng & Francisco J. Ruge-Murcia, 2000. "Explaining the Persistence of Commodity Prices," Computational Economics, Springer;Society for Computational Economics, vol. 16(1/2), pages 149-171, October.
  94. Oliver de Groot & Ceyhun Bora Durdu & Enrique G. Mendoza, 2019. "Approximately Right?: Global v. Local Methods for Open-Economy Models with Incomplete Markets," NBER Working Papers 26426, National Bureau of Economic Research, Inc.
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  97. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2017. "Valuing Government Obligations When Markets are Incomplete," NBER Working Papers 24092, National Bureau of Economic Research, Inc.
  98. David R.F. Love, 2010. "Revisiting deterministic extended-path: a simple and accurate solution method for macroeconomic models," International Journal of Computational Economics and Econometrics, Inderscience Enterprises Ltd, vol. 1(3/4), pages 309-316.
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  102. Karine S. Moe, 1998. "Fertility, Time Use, and Economic Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 699-718, July.
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  105. Duffy, John & McNelis, Paul D., 2001. "Approximating and simulating the stochastic growth model: Parameterized expectations, neural networks, and the genetic algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1273-1303, September.
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  114. Taylor, John B, 2000. "Alternative Views of the Monetary Transmission Mechanism: What Difference Do They Make for Monetary Policy?," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 16(4), pages 60-73, Winter.
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  122. Paul Fackler, 2005. "A MATLAB Solver for Nonlinear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 26(2), pages 173-181, October.
  123. Oliver de Groot & C. Bora Durdu & Enrique G. Mendoza, 2019. "Global v. Local Methods in the Analysis of Open-Economy Models with Incomplete Markets," Working Papers 201916, University of Liverpool, Department of Economics.
  124. Kenneth L. Judd, 1991. "Minimum weighted residual methods for solving aggregate growth models," Discussion Paper / Institute for Empirical Macroeconomics 49, Federal Reserve Bank of Minneapolis.
  125. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2014. "Lower Bounds on Approximation Errors: Testing the Hypothesis That a Numerical Solution Is Accurate?," BYU Macroeconomics and Computational Laboratory Working Paper Series 2014-06, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
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  129. Jasmina Hasanhodzic & Laurence J. Kotlikoff, 2019. "Valuing Government Obligations When Markets Are Incomplete," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(7), pages 1815-1855, October.
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