IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v48y2016i4d10.1007_s10614-015-9529-0.html
   My bibliography  Save this article

Hybrid Perturbation-Projection Method for Solving DSGE Asset Pricing Models

Author

Listed:
  • Yuanyuan Chen

    (Marshall University)

  • Stuart Fowler

    (Economics and Finance Department)

Abstract

This paper conduct a quantitative experiment to assess the effectiveness of a hybrid perturbation-projection (HPP) method to solve dynamic stochastic general equilibrium (DSGE) asset pricing models. We employ a macro-based asset pricing model to compare HPP method and value function iteration (VFI) method based on the same reasonable calibrations. This DSGE asset pricing model in the paper incorporates nonlinearities in both household preferences and firm production technologies. Additionally, the market for debt introduces its own type of nonlinearity; leverage can force a nonlinear wedge between asset rates. In the paper, we first show how to apply the HPP method and then assess its accuracy and speed compared with the old VFI method. Accuracy of solutions is demonstrated by comparing standard deviations of the logged values of first order conditions errors of important financial assets. Speed of the solution methods is shown by comparing the computational time. By comparing the results from applying the same DSGE asset pricing model to the competing methods, we find that the HPP method is not only feasible but also robust to the extreme nonlinearities in the asset pricing model.

Suggested Citation

  • Yuanyuan Chen & Stuart Fowler, 2016. "Hybrid Perturbation-Projection Method for Solving DSGE Asset Pricing Models," Computational Economics, Springer;Society for Computational Economics, vol. 48(4), pages 649-667, December.
    • Handle: RePEc:kap:compec:v:48:y:2016:i:4:d:10.1007_s10614-015-9529-0
    DOI: 10.1007/s10614-015-9529-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-015-9529-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10614-015-9529-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Huffman, Gregory W. & Wynne, Mark A., 1999. "The role of intratemporal adjustment costs in a multisector economy," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 317-350, April.
    2. Tauchen, George, 1990. "Solving the Stochastic Growth Model by Using Quadrature Methods and Value-Function Iterations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 49-51, January.
    3. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," Econometrica, Econometric Society, vol. 77(6), pages 1711-1750, November.
    4. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
    5. Chen Yuanyuan (Catherine), 2013. "A prior predictive analysis of the effects of Loss Aversion/Narrow Framing in a macroeconomic model for asset pricing," The B.E. Journal of Macroeconomics, De Gruyter, vol. 13(1), pages 581-607, September.
    6. Grüne, Lars & Semmler, Willi, 2008. "Asset pricing with loss aversion," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3253-3274, October.
    7. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    8. Basu, Parantap, 1987. "An Adjustment Cost Model of Asset Pricing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 609-621, October.
    9. van Binsbergen, Jules H. & Fernández-Villaverde, Jesús & Koijen, Ralph S.J. & Rubio-Ramírez, Juan, 2012. "The term structure of interest rates in a DSGE model with recursive preferences," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 634-648.
    10. Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Solving DSGE models with perturbation methods and a change of variables," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2509-2531, December.
    11. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    12. Lawrence J. Christiano & Michele Boldrin & Jonas D. M. Fisher, 2001. "Habit Persistence, Asset Returns, and the Business Cycle," American Economic Review, American Economic Association, vol. 91(1), pages 149-166, March.
    13. Ruge-Murcia, Francisco, 2012. "Estimating nonlinear DSGE models by the simulated method of moments: With an application to business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 914-938.
    14. 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.
    15. Dario Caldara & Jesus Fernandez-Villaverde & Juan Rubio-Ramirez & Wen Yao, 2012. "Computing DSGE Models with Recursive Preferences and Stochastic Volatility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 188-206, April.
    16. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    17. Jean-Pierre Danthine & John B. Donaldson, 2002. "Labour Relations and Asset Returns," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 41-64.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Claudio Campanale & Rui Castro & Gian Luca Clementi, 2010. "Asset Pricing in a Production Economy with Chew-Dekel Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 379-402, April.
    2. Rui Castro & Claudio Campanale & Gian Luca Clementi, 2007. "Asset Pricing in a General Equilibrium Production Economy with Chew-Dekel Risk Preferences," 2007 Meeting Papers 503, Society for Economic Dynamics.
    3. Juan Carlos Parra-Alvarez & Hamza Polattimur & Olaf Posch, 2020. "Risk Matters: Breaking Certainty Equivalence," CESifo Working Paper Series 8250, CESifo.
    4. Mohammad R. Jahan-Parvar & Xuan Liu & Philip Rothman, 2013. "Equity Returns and Business Cycles in Small Open Economies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(6), pages 1117-1146, September.
    5. Lan, Hong & Meyer-Gohde, Alexander, 2013. "Decomposing risk in dynamic stochastic general equilibrium," SFB 649 Discussion Papers 2013-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    6. Hirshleifer, David & Li, Jun & Yu, Jianfeng, 2015. "Asset pricing in production economies with extrapolative expectations," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 87-106.
    7. Parra-Alvarez, Juan Carlos & Polattimur, Hamza & Posch, Olaf, 2021. "Risk matters: Breaking certainty equivalence in linear approximations," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    8. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    9. Roelof Salomons, 2008. "A Theoretical And Practical Perspective On The Equity Risk Premium," Journal of Economic Surveys, Wiley Blackwell, vol. 22(2), pages 299-329, April.
    10. Huang-Meier, Winifred & Freeman, Mark C. & Mazouz, Khelifa, 2015. "Why are aggregate equity payouts pro-cyclical?," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 98-108.
    11. 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.
    12. Jaccard Ivan, 2011. "Asset Pricing and Housing Supply in a Production Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-40, October.
    13. Posch, Olaf, 2011. "Risk premia in general equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1557-1576, September.
    14. Ivan Jaccard, 2007. "Asset Pricing, Habit Memory, and the Labor Market," Swiss Finance Institute Research Paper Series 07-23, Swiss Finance Institute, revised Nov 2007.
    15. Lorenzo Menna & Patrizio Tirelli, 2014. "The Equity Premium in a DSGE Model with Limited Asset Market Participation," Working Papers 275, University of Milano-Bicocca, Department of Economics, revised Jun 2014.
    16. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
    17. Ivan Jaccard, 2010. "Asset Pricing and Housing Supply in a Production Economy," 2010 Meeting Papers 605, Society for Economic Dynamics.
    18. Zhang, Tongbin, 2021. "Stock prices and the risk-free rate: An internal rationality approach," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    19. Kevin E. Beaubrun-Diant & Julien Matheron, 2008. "Rentabilités d'actifs et fluctuations économiques : une perspective d'équilibre général dynamique et stochastique," Economie & Prévision, La Documentation Française, vol. 0(2), pages 35-63.
    20. Lars Lochstoer & Harjoat S. Bhamra, 2009. "Return Predictability and Labor Market Frictions in a Real Business Cycle Model," 2009 Meeting Papers 1257, Society for Economic Dynamics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:48:y:2016:i:4:d:10.1007_s10614-015-9529-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.