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The Price of Risk and Ambiguity in an Intertemporal General Equilibrium Model of Asset Prices

  • Gonçalo Faria

    ()

    (CEF.UP, Faculdade de Economia, Universidade do Porto, RGEA, Universidad de Vigo)

  • João Correia-da-Silva

    ()

    (CEF.UP, Faculdade de Economia, Universidade do Porto)

We consider a version of the intertemporal general equilibrium model of Cox et al. (1985a) with a single production process and two correlated state variables. It is assumed that only one of them, Y2, has shocks correlated with those of the economy's output rate and, simultaneously, that the representative agent is ambiguous about its stochastic process. This implies that changes in Y2 should be hedged and its uncertainty priced, with this price containing risk and ambiguity components. Ambiguity impacts asset pricing through two channels: the price of uncertainty associated with the ambiguous state variable, Y2, and the interest rate. With ambiguity, the equilibrium price of uncertainty associated with Y2 and the equilibrium interest rate can increase or decrease, depending on the relation between (i) the correlations between the shocks in Y2 and those in the output rate and in the other state variable; (ii) the diffusion functions of the stochastic processes for Y2 and for the output rate; and (iii) the gradient of the value function with respect to Y2. As applications of our generic setting, we deduct the model of Longstaff and Schwartz (1992) for interest-rate-sensitive contingent claim pricing and the variance risk price specification in the option pricing model of Heston (2003).

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Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 399.

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Length: 21 pages
Date of creation: Jan 2011
Date of revision:
Handle: RePEc:por:fepwps:399
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  1. Zhang, Wenlang & Semmler, Willi, 2005. "Monetary Policy Rules Under Uncertainty: Empirical Evidence, Adaptive Learning, And Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 651-681, November.
  2. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, 04.
  3. Frank Riedel, 2009. "Optimal Stopping With Multiple Priors," Econometrica, Econometric Society, vol. 77(3), pages 857-908, 05.
  4. Larry G. Epstein, 2010. "A Paradox for the “Smooth Ambiguity” Model of Preference," Econometrica, Econometric Society, vol. 78(6), pages 2085-2099, November.
  5. Jürgen Eichberger & David Kelsey, 2008. "Are the Treasures of Game Theory Ambiguous?," Working Papers 0469, University of Heidelberg, Department of Economics, revised Jul 2008.
  6. Gonçalo Faria & João Correia-da-Silva, 2011. "A Closed-Form Solution for Options with Ambiguity about Stochastic Volatility," FEP Working Papers 414, Universidade do Porto, Faculdade de Economia do Porto.
  7. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
  8. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
  9. Laurent BARRAS & Patrick Gagliardini & Paolo Porchia & Fabio Trojani, . "Ambiguity Aversion and the Term Structure of Interest Rates," Swiss Finance Institute Research Paper Series 08-18, Swiss Finance Institute.
  10. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
  11. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
  12. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
  13. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
  14. Fabio Trojani & Markus Leippold & Paolo Vanini, 2005. "Learning and Asset Prices under Ambiguous Information," University of St. Gallen Department of Economics working paper series 2005 2005-03, Department of Economics, University of St. Gallen.
  15. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
  16. Joao Correia-da-Silva & Carlos Hervés-Beloso, 2006. "Prudent Expectations Equilibrium in Economies with Uncertain Delivery," FEP Working Papers 216, Universidade do Porto, Faculdade de Economia do Porto.
  17. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
  18. Larry G. Epstein & Martin Schneider, 2001. "Recursive Multiple-Priors," RCER Working Papers 485, University of Rochester - Center for Economic Research (RCER).
  19. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  20. Amin, Kaushik I & Ng, Victor K, 1993. " Option Valuation with Systematic Stochastic Volatility," Journal of Finance, American Finance Association, vol. 48(3), pages 881-910, July.
  21. Fabio Trojani & Paolo Vanini, 2004. "Robustness and Ambiguity Aversion in General Equilibrium," Review of Finance, Springer, vol. 8(2), pages 279-324.
  22. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  23. Hening Liu, 2010. "Robust consumption and portfolio choice for time varying investment opportunities," Annals of Finance, Springer, vol. 6(4), pages 435-454, October.
  24. Weidong Xu & Hongyi Li & Chongfeng Wu, 2011. "A Robust General Equilibrium Stochastic Volatility Model with Recursive Preference Investors," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 217-231, November.
  25. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  26. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-43.
  27. Uppal, Raman & Wang, Tan, 2002. "Model Misspecification and Under-Diversification," CEPR Discussion Papers 3304, C.E.P.R. Discussion Papers.
  28. Garlappi, Lorenzo & Uppal, Raman & Wang, Tan, 2005. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," CEPR Discussion Papers 5041, C.E.P.R. Discussion Papers.
  29. Xiaoxian Ma & Qingzhen Zhao & Jilin Qu, 2008. "Robust portfolio optimization with a generalized expected utility model under ambiguity," Annals of Finance, Springer, vol. 4(4), pages 431-444, October.
  30. Luciano Castro & Marialaura Pesce & Nicholas Yannelis, 2011. "Core and equilibria under ambiguity," Economic Theory, Springer, vol. 48(2), pages 519-548, October.
  31. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  32. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
  33. Han Ozsoylev & Jan Werner, 2011. "Liquidity and asset prices in rational expectations equilibrium with ambiguous information," Economic Theory, Springer, vol. 48(2), pages 469-491, October.
  34. Camerer, Colin & Weber, Martin, 1992. " Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-70, October.
  35. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  36. Maenhout, Pascal J., 2006. "Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium," Journal of Economic Theory, Elsevier, vol. 128(1), pages 136-163, May.
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