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Affine General Equilibrium Models

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  • Bjørn Eraker

    () (Department of Economics, Duke University, Durham, North Carolina 27708)

Abstract

No-arbitrage models are extremely flexible modelling tools but often lack economic motivation. This paper describes an equilibrium consumption-based CAPM framework based on Epstein-Zin preferences, which produces analytic pricing formulas for stocks and bonds under the assumption that macro growth rates follow affine processes. This allows the construction of equilibrium pricing formulas while maintaining the same flexibility of state dynamics as in no-arbitrage models. In demonstrating the approach, the paper presents a model that incorporates inflation such that asset prices are nominal. The model takes advantage of the possibility of non-Gaussian shocks and model macroeconomic uncertainty as a jump-diffusion process. This leads to endogenous stock market crashes as stock prices drop to reflect a higher expected rate of return in response to sudden increases in risk. The nominal yield curve in this model has a positive slope if expected inflation growth negatively impacts real growth. This model also produces asset prices that are consistent with observed data, including a substantial equity premium at moderate levels of risk aversion.

Suggested Citation

  • Bjørn Eraker, 2008. "Affine General Equilibrium Models," Management Science, INFORMS, vol. 54(12), pages 2068-2080, December.
  • Handle: RePEc:inm:ormnsc:v:54:y:2008:i:12:p:2068-2080
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    File URL: http://dx.doi.org/10.1287/mnsc.1070.0796
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Timothy M. Christensen, 2014. "Nonparametric identification of positive eigenfunctions," CeMMAP working papers CWP37/14, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    2. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat, 2012. "Dynamic jump intensities and risk premiums: Evidence from S&P500 returns and options," Journal of Financial Economics, Elsevier, vol. 106(3), pages 447-472.
    3. Ho, Hsiao-Wei & Huang, Henry H. & Yildirim, Yildiray, 2014. "Affine model of inflation-indexed derivatives and inflation risk premium," European Journal of Operational Research, Elsevier, vol. 235(1), pages 159-169.
    4. Bruno Deffains & Claude Fluet, 2015. "Social Norms and Legal Design," CIRANO Working Papers 2015s-44, CIRANO.
    5. Wayne E. Ferson & Suresh K. Nallareddy & Biqin Xie, 2012. "The "Out of Sample" Performance of Long-run Risk Models," NBER Working Papers 17848, National Bureau of Economic Research, Inc.
    6. Marco Bonomo & René Garcia & Nour Meddahi & Roméo Tédongap, 2011. "Generalized Disappointment Aversion, Long-run Volatility Risk, and Asset Prices," Review of Financial Studies, Society for Financial Studies, pages 82-122.
    7. Moreno, Manuel & Serrano, Pedro & Stute, Winfried, 2011. "Statistical properties and economic implications of jump-diffusion processes with shot-noise effects," European Journal of Operational Research, Elsevier, vol. 214(3), pages 656-664, November.
    8. John Y. Campbell & Carolin Pflueger & Luis M. Viceira, 2013. "Monetary Policy Drivers of Bond and Equity Risks," Harvard Business School Working Papers 14-031, Harvard Business School, revised Jun 2015.
    9. Ornthanalai, Chayawat, 2014. "Lévy jump risk: Evidence from options and returns," Journal of Financial Economics, Elsevier, vol. 112(1), pages 69-90.
    10. Benzoni, Luca & Collin-Dufresne, Pierre & Goldstein, Robert S., 2011. "Explaining asset pricing puzzles associated with the 1987 market crash," Journal of Financial Economics, Elsevier, vol. 101(3), pages 552-573, September.
    11. Luis M. Viceira & Adi Sunderam & John Y. Campbell, 2008. "Inflation Bets or Deflation Hedges? The Changing Risks of Nominal Bonds," 2008 Meeting Papers 355, Society for Economic Dynamics.
    12. Malkhozov, Aytek, 2014. "Asset prices in affine real business cycle models," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 180-193.
    13. Ferson, Wayne & Nallareddy, Suresh & Xie, Biqin, 2013. "The “out-of-sample” performance of long run risk models," Journal of Financial Economics, Elsevier, vol. 107(3), pages 537-556.
    14. repec:wsi:ijtafx:v:20:y:2017:i:02:n:s0219024917500121 is not listed on IDEAS
    15. Gomes, Pedro & Taamouti, Abderrahim, 2016. "In search of the determinants of European asset market comovements," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 103-117.

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