IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v45y2014icp180-193.html
   My bibliography  Save this article

Asset prices in affine real business cycle models

Author

Listed:
  • Malkhozov, Aytek

Abstract

I describe a tractable way to study macroeconomic quantities and asset prices in a large class of dynamic stochastic general equilibrium models. The proposed approximate solution is analytical, log-linear, and adjusted for risk. Therefore, it is well suited to investigate economic mechanisms, describe the time series properties or estimate the model, and deal with stochastic volatility. I explain the pitfalls encountered by previous attempts to use simple approximation techniques, in particular with models featuring recursive preferences. Finally, I show the theoretical relationship between my solution and higher-order perturbation methods.

Suggested Citation

  • Malkhozov, Aytek, 2014. "Asset prices in affine real business cycle models," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 180-193.
    • Handle: RePEc:eee:dyncon:v:45:y:2014:i:c:p:180-193
    DOI: 10.1016/j.jedc.2014.05.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188914001195
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2014.05.011?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. Glenn D. Rudebusch & Eric T. Swanson, 2012. "The Bond Premium in a DSGE Model with Long-Run Real and Nominal Risks," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 105-143, January.
    2. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    3. Jesus Fernandez-Villaverde & Pablo Guerron-Quintana & Juan F. Rubio-Ramirez & Martin Uribe, 2011. "Risk Matters: The Real Effects of Volatility Shocks," American Economic Review, American Economic Association, vol. 101(6), pages 2530-2561, October.
    4. Benigno, Gianluca & Benigno, Pierpaolo & Nisticò, Salvatore, 2013. "Second-order approximation of dynamic models with time-varying risk," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1231-1247.
    5. Bjørn Eraker, 2008. "Affine General Equilibrium Models," Management Science, INFORMS, vol. 54(12), pages 2068-2080, December.
    6. Bansal, Ravi & Kiku, Dana & Yaron, Amir, 2012. "An Empirical Evaluation of the Long-Run Risks Model for Asset Prices," Critical Finance Review, now publishers, vol. 1(1), pages 183-221, January.
    7. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    8. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    9. Beeler, Jason & Campbell, John Y., 2012. "The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment," Critical Finance Review, now publishers, vol. 1(1), pages 141-182, January.
    10. Harald Uhlig, 2010. "Easy EZ in DSGE," 2010 Meeting Papers 111, Society for Economic Dynamics.
    11. Bjørn Eraker & Ivan Shaliastovich, 2008. "An Equilibrium Guide To Designing Affine Pricing Models," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 519-543, October.
    12. Anh Le & Kenneth J. Singleton & Qiang Dai, 2010. "Discrete-Time Affine-super-ℚ Term Structure Models with Generalized Market Prices of Risk," Review of Financial Studies, Society for Financial Studies, vol. 23(5), pages 2184-2227.
    13. Jermann, Urban J., 1998. "Asset pricing in production economies," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 257-275, April.
    14. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    15. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    16. 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.
    17. Georg Kaltenbrunner & Lars A. Lochstoer, 2010. "Long-Run Risk through Consumption Smoothing," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3190-3224, August.
    18. 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.
    19. Massimiliano Croce, Mariano, 2014. "Long-run productivity risk: A new hope for production-based asset pricing?," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 13-31.
    20. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    21. Gary S. Anderson & Andrew T. Levin & Eric T. Swanson, 2006. "Higher-order perturbation solutions to dynamic, discrete-time rational expectations models," Working Paper Series 2006-01, Federal Reserve Bank of San Francisco.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Segal, Gill & Shaliastovich, Ivan & Yaron, Amir, 2015. "Good and bad uncertainty: Macroeconomic and financial market implications," Journal of Financial Economics, Elsevier, vol. 117(2), pages 369-397.
    2. Kyle Jurado, 2016. "Advance Information and Distorted Beliefs in Macroeconomic and Financial Fluctuations," 2016 Meeting Papers 154, Society for Economic Dynamics.
    3. Pierlauro Lopez & J. David López-Salido & Francisco Vazquez-Grande, 2022. "Accounting for Risk in a Linearized Solution: How to Approximate the Risky Steady State and Around It," Working Papers 22-14, Federal Reserve Bank of Cleveland.
    4. Frank Hespeler & Marco M. Sorge, 2018. "Does Near†Rationality Matter In First†Order Approximate Solutions? A Perturbation Approach," Bulletin of Economic Research, Wiley Blackwell, vol. 70(1), pages 97-113, January.
    5. Pierlauro Lopez & David Lopez-Salido & Francisco Vazquez-Grande, 2018. "Risk-Adjusted Linearizations of Dynamic Equilibrium Models," Working papers 702, Banque de France.
    6. Segal, Gill, 2019. "A tale of two volatilities: Sectoral uncertainty, growth, and asset prices," Journal of Financial Economics, Elsevier, vol. 134(1), pages 110-140.
    7. Chiu, Yen-Chen, 2020. "Macroeconomic uncertainty, information competition, and liquidity," Finance Research Letters, Elsevier, vol. 34(C).
    8. Francesco Bianchi & Howard Kung & Mikhail Tirskikh, 2018. "The Origins and Effects of Macroeconomic Uncertainty," NBER Working Papers 25386, National Bureau of Economic Research, Inc.
    9. Backus, David & Ferriere, Axelle & Zin, Stanley, 2015. "Risk and ambiguity in models of business cycles," Journal of Monetary Economics, Elsevier, vol. 69(C), pages 42-63.
    10. Lorenzo Bretscher & Andrea Tamoni & Aytek Malkhozov, 2019. "News Shocks and Asset Prices," 2019 Meeting Papers 100, Society for Economic Dynamics.

    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. Hong Lan & Alexander Meyer-Gohde, 2013. "Decomposing Risk in Dynamic Stochastic General Equilibrium," SFB 649 Discussion Papers SFB649DP2013-022, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    2. Kyle Jurado, 2016. "Advance Information and Distorted Beliefs in Macroeconomic and Financial Fluctuations," 2016 Meeting Papers 154, Society for Economic Dynamics.
    3. Isoré, Marlène & Szczerbowicz, Urszula, 2017. "Disaster risk and preference shifts in a New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 79(C), pages 97-125.
    4. Garlappi, Lorenzo & Song, Zhongzhi, 2017. "Capital utilization, market power, and the pricing of investment shocks," Journal of Financial Economics, Elsevier, vol. 126(3), pages 447-470.
    5. Segal, Gill, 2019. "A tale of two volatilities: Sectoral uncertainty, growth, and asset prices," Journal of Financial Economics, Elsevier, vol. 134(1), pages 110-140.
    6. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    7. Martin M. Andreasen & Kasper Jørgensen, 2016. "Explaining Asset Prices with Low Risk Aversion and Low Intertemporal Substitution," CREATES Research Papers 2016-16, Department of Economics and Business Economics, Aarhus University.
    8. Bai, Hang & Zhang, Lu, 2022. "Searching for the equity premium," Journal of Financial Economics, Elsevier, vol. 143(2), pages 897-926.
    9. Martin Kliem & Alexander Meyer‐Gohde, 2022. "(Un)expected monetary policy shocks and term premia," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(3), pages 477-499, April.
    10. 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.
    11. Eric T. Swanson, 2020. "Implications of Labor Market Frictions for Risk Aversion and Risk Premia," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(2), pages 194-240, April.
    12. Liu, Hening & Miao, Jianjun, 2015. "Growth uncertainty, generalized disappointment aversion and production-based asset pricing," Journal of Monetary Economics, Elsevier, vol. 69(C), pages 70-89.
    13. Alexander Meyer-Gohde, 2014. "Risky Linear Approximations," SFB 649 Discussion Papers SFB649DP2014-034, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    14. Roberto Marfè, 2015. "Labor Rigidity and the Dynamics of the Value Premium," Carlo Alberto Notebooks 429, Collegio Carlo Alberto.
    15. Campbell, John Y. & Giglio, Stefano & Polk, Christopher & Turley, Robert, 2018. "An intertemporal CAPM with stochastic volatility," Journal of Financial Economics, Elsevier, vol. 128(2), pages 207-233.
    16. Ryo Jinnai, 2015. "Innovation, Product Cycle, and Asset Prices," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(3), pages 484-504, July.
    17. Francisco Ruge‐Murcia, 2017. "Skewness Risk and Bond Prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 379-400, March.
    18. Ales Marsal & Lorant Kaszab & Roman Horvath, 2017. "Government Spending and the Term Structure of Interest Rates in a DSGE Model," Working and Discussion Papers WP 3/2017, Research Department, National Bank of Slovakia.
    19. Glenn D. Rudebusch & Eric T. Swanson, 2012. "The Bond Premium in a DSGE Model with Long-Run Real and Nominal Risks," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 105-143, January.
    20. Ludvigson, Sydney C., 2013. "Advances in Consumption-Based Asset Pricing: Empirical Tests," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 799-906, Elsevier.

    More about this item

    Keywords

    Approximation methods; Asset prices; Stochastic volatility;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    Statistics

    Access and download statistics

    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:eee:dyncon:v:45:y:2014:i:c:p:180-193. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.