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An equilibrium model of the term structures of bonds and equities

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  • Takamizawa, Hideyuki

Abstract

We propose an equilibrium model of the term structures of bonds and equities, which has a similar descriptive ability to the reduced form model proposed by Lettau and Wachter (2011) (LW), and yet offers economic implications about preferences and consumption dynamics. The key is to let the parameters of recursive utility depend on state variables of the economy and replicate the stochastic discount factor specified by LW. We show that the model can explain the stylized facts about the various term structures, which, however, requires a high risk aversion, a high consumption volatility, or both. This tension can be alleviated by changing the parameters of the state-dependent preferences in our model.

Suggested Citation

  • Takamizawa, Hideyuki, 2022. "An equilibrium model of the term structures of bonds and equities," International Review of Financial Analysis, Elsevier, vol. 84(C).
  • Handle: RePEc:eee:finana:v:84:y:2022:i:c:s1057521922003064
    DOI: 10.1016/j.irfa.2022.102356
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    1. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    2. Gordon S. & St-Amour P., 2004. "Asset Returns and State-Dependent Risk Preferences," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 241-252, July.
    3. Jules van Binsbergen & Michael Brandt & Ralph Koijen, 2012. "On the Timing and Pricing of Dividends," American Economic Review, American Economic Association, vol. 102(4), pages 1596-1618, June.
    4. Mariano M. Croce & Martin Lettau & Sydney C. Ludvigson, 2015. "Investor Information, Long-Run Risk, and the Term Structure of Equity," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 706-742.
    5. Fousseni Chabi-Yo & René Garcia & Eric Renault, 2008. "State Dependence Can Explain the Risk Aversion Puzzle," The Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 973-1011, April.
    6. Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2007. "Estimating Risk Attitudes in Denmark: A Field Experiment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(2), pages 341-368, June.
    7. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde & Jürgen Schupp & Gert G. Wagner, 2011. "Individual Risk Attitudes: Measurement, Determinants, And Behavioral Consequences," Journal of the European Economic Association, European Economic Association, vol. 9(3), pages 522-550, June.
    8. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, April.
    9. Roberto Marfè, 2017. "Income Insurance and the Equilibrium Term Structure of Equity," Journal of Finance, American Finance Association, vol. 72(5), pages 2073-2130, October.
    10. 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..
    11. Angelo Melino & Alan X. Yang, 2003. "State Dependent Preferences Can Explain the Equity Premium Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 806-830, October.
    12. Taeyoung Doh & Shu Wu, 2016. "The Equilibrium Term Structure of Equity and Interest Rates," Research Working Paper RWP 16-11, Federal Reserve Bank of Kansas City.
    13. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    14. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    15. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472, National Bureau of Economic Research, Inc.
    16. Bansal, Ravi & Miller, Shane & Song, Dongho & Yaron, Amir, 2021. "The term structure of equity risk premia," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1209-1228.
    17. Frederico Belo & Pierre Collin-Dufresne & Robert S. Goldstein, 2015. "Dividend Dynamics and the Term Structure of Dividend Strips," Journal of Finance, American Finance Association, vol. 70(3), pages 1115-1160, June.
    18. Markus K. Brunnermeier & Stefan Nagel, 2008. "Do Wealth Fluctuations Generate Time-Varying Risk Aversion? Micro-evidence on Individuals," American Economic Review, American Economic Association, vol. 98(3), pages 713-736, June.
    19. Alain Cohn & Jan Engelmann & Ernst Fehr & Michel André Maréchal, 2015. "Evidence for Countercyclical Risk Aversion: An Experiment with Financial Professionals," American Economic Review, American Economic Association, vol. 105(2), pages 860-885, February.
    20. Rui Albuquerque & Martin Eichenbaum & Victor Xi Luo & Sergio Rebelo, 2016. "Valuation Risk and Asset Pricing," Journal of Finance, American Finance Association, vol. 71(6), pages 2861-2904, December.
    21. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 1.
    22. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    23. van Binsbergen, Jules H. & Koijen, Ralph S.J., 2017. "The term structure of returns: Facts and theory," Journal of Financial Economics, Elsevier, vol. 124(1), pages 1-21.
    24. 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.
    25. Ravi Bansal & A. Ronald Gallant & George Tauchen, 2007. "Rational Pessimism, Rational Exuberance, and Asset Pricing Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1005-1033.
    26. 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.
    27. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    28. repec:hal:spmain:info:hdl:2441/8686 is not listed on IDEAS
    29. 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.
    30. Florian Schulz, 2016. "On the Timing and Pricing of Dividends: Comment," American Economic Review, American Economic Association, vol. 106(10), pages 3185-3223, October.
    31. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
    32. Curatola, Giuliano, 2015. "Loss aversion, habit formation and the term structures of equity and interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 103-122.
    33. Pierre‐André Chiappori & Monica Paiella, 2011. "Relative Risk Aversion Is Constant: Evidence From Panel Data," Journal of the European Economic Association, European Economic Association, vol. 9(6), pages 1021-1052, December.
    34. repec:oup:rfinst:v:26:y::i:1:p:1-33 is not listed on IDEAS
    35. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 645-700.
    36. Hasler, Michael & Marfè, Roberto, 2016. "Disaster recovery and the term structure of dividend strips," Journal of Financial Economics, Elsevier, vol. 122(1), pages 116-134.
    37. Michael Stern, 2006. "Endogenous time preference and optimal growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 49-70, September.
    38. Guiso, Luigi & Sapienza, Paola & Zingales, Luigi, 2018. "Time varying risk aversion," Journal of Financial Economics, Elsevier, vol. 128(3), pages 403-421.
    39. 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.
    40. Backus, David & Boyarchenko, Nina & Chernov, Mikhail, 2018. "Term structures of asset prices and returns," Journal of Financial Economics, Elsevier, vol. 129(1), pages 1-23.
    41. Pascal St-Amour & Stephen Gordon, 2000. "A Preference Regime Model of Bull and Bear Markets," American Economic Review, American Economic Association, vol. 90(4), pages 1019-1033, September.
    42. Campbell, John Y., 2003. "Consumption-based asset pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 13, pages 803-887, Elsevier.
    43. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    44. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 2.
    45. Tony Berrada & Jerome Detemple & Marcel Rindisbacher, 2013. "Asset Pricing with Regime-Dependent Preferences and Learning," Swiss Finance Institute Research Paper Series 13-44, Swiss Finance Institute, revised Oct 2013.
    46. Abel, Andrew B., 1999. "Risk premia and term premia in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 3-33, February.
    47. Ravi Bansal & Ivan Shaliastovich, 2013. "A Long-Run Risks Explanation of Predictability Puzzles in Bond and Currency Markets," The Review of Financial Studies, Society for Financial Studies, vol. 26(1), pages 1-33.
    48. 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.
    49. Grossman, Sanford J & Shiller, Robert J, 1981. "The Determinants of the Variability of Stock Market Prices," American Economic Review, American Economic Association, vol. 71(2), pages 222-227, May.
    50. 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.
    51. Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
    52. Mehra, Rajnish & Sah, Raaj, 2002. "Mood fluctuations, projection bias, and volatility of equity prices," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 869-887, May.
    53. Jack Favilukis & Xiaoji Lin, 2016. "Wage Rigidity: A Quantitative Solution to Several Asset Pricing Puzzles," The Review of Financial Studies, Society for Financial Studies, vol. 29(1), pages 148-192.
    54. Jessica A. Wachter, 2013. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," Journal of Finance, American Finance Association, vol. 68(3), pages 987-1035, June.
    55. Lettau, Martin & Wachter, Jessica A., 2011. "The term structures of equity and interest rates," Journal of Financial Economics, Elsevier, vol. 101(1), pages 90-113, July.
    56. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
    57. Kuhnen, Camelia M. & Knutson, Brian, 2011. "The Influence of Affect on Beliefs, Preferences, and Financial Decisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(3), pages 605-626, June.
    58. Weber, Michael, 2018. "Cash flow duration and the term structure of equity returns," Journal of Financial Economics, Elsevier, vol. 128(3), pages 486-503.
    59. Robert J. Barro, 2009. "Rare Disasters, Asset Prices, and Welfare Costs," American Economic Review, American Economic Association, vol. 99(1), pages 243-264, March.
    60. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    61. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    62. Ian Dew‐Becker, 2014. "Bond Pricing with a Time‐Varying Price of Risk in an Estimated Medium‐Scale Bayesian DSGE Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(5), pages 837-888, August.
    63. Niels Joachim Gormsen, 2021. "Time Variation of the Equity Term Structure," Journal of Finance, American Finance Association, vol. 76(4), pages 1959-1999, August.
    64. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    65. Liu, Xuan & Yang, Fang & Cai, Zongwu, 2016. "Does relative risk aversion vary with wealth? Evidence from households׳ portfolio choice data," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 229-248.
    66. Hansen, Lars Peter & Heaton, John & Lee, Junghoon & Roussanov, Nikolai, 2007. "Intertemporal Substitution and Risk Aversion," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 61, Elsevier.
    67. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Lost In State Space: Are Preferences Stable?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 1091-1112, August.
    68. Pier dup Lopez & J. David López-Salido & Francisco Vazquez-Grande, 2015. "Nominal Rigidities and the Term Structures of Equity and Bond Returns," Finance and Economics Discussion Series 2015-64, Board of Governors of the Federal Reserve System (U.S.).
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