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Two Trees

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  • John H. Cochrane
  • Francis A. Longstaff
  • Pedro Santa-Clara

Abstract

We solve a model with two i.i.d. Lucas trees. Although the corresponding one-tree model produces a constant price-dividend ratio and i.i.d. returns, the two-tree model produces interesting asset-pricing dynamics. Investors want to rebalance their portfolios after any change in value. Because the size of the trees is fixed, prices must adjust to offset this desire. As a result, expected returns, excess returns, and return volatility all vary through time. Returns display serial correlation and are predictable from price-dividend ratios. Return volatility differs from cash-flow volatility, and return shocks can occur without news about cash flows. The Author 2007. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org, Oxford University Press.

Suggested Citation

  • John H. Cochrane & Francis A. Longstaff & Pedro Santa-Clara, 2008. "Two Trees," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 347-385, January.
    • Handle: RePEc:oup:rfinst:v:21:y:2008:i:1:p:347-385
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    1. Harald Hau & Hélène Rey, 2004. "Can Portfolio Rebalancing Explain the Dynamics of Equity Returns, Equity Flows, and Exchange Rates?," American Economic Review, American Economic Association, vol. 94(2), pages 126-133, May.
    2. Lo, Andrew W & MacKinlay, A Craig, 1990. "When Are Contrarian Profits Due to Stock Market Overreaction?," The Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 175-205.
    3. Tano Santos & Pietro Veronesi, 2001. "Labor Income and Predictable Stock Returns," NBER Working Papers 8309, National Bureau of Economic Research, Inc.
    4. Anna Pavlova & Roberto Rigobon, 2007. "Asset Prices and Exchange Rates," Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1139-1180.
    5. 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 363-384, March.
    6. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    7. Longstaff, Francis A. & Piazzesi, Monika, 2004. "Corporate earnings and the equity premium," Journal of Financial Economics, Elsevier, vol. 74(3), pages 401-421, December.
    8. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    9. Jonathan Lewellen, 2002. "Momentum and Autocorrelation in Stock Returns," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 533-564, March.
    10. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    11. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
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    Cited by:

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    3. Jeong, Daehee & Kim, Hwagyun & Park, Joon Y., 2015. "Does ambiguity matter? Estimating asset pricing models with a multiple-priors recursive utility," Journal of Financial Economics, Elsevier, vol. 115(2), pages 361-382.
    4. Hansen, Simon Lysbjerg, 2015. "Cross-sectional asset pricing with heterogeneous preferences and beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 125-151.
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    6. Bhamra, Harjoat S. & Coeurdacier, Nicolas & Guibaud, Stéphane, 2014. "A dynamic equilibrium model of imperfectly integrated financial markets," Journal of Economic Theory, Elsevier, vol. 154(C), pages 490-542.
    7. Tarek A. Hassan, 2013. "Country Size, Currency Unions, and International Asset Returns," Journal of Finance, American Finance Association, vol. 68(6), pages 2269-2308, December.
    8. Dragana Draganac, 2017. "Do Dividend Shocks Affect Excess Returns: An Experimental Study," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 62(214), pages 45-86, June - Se.
    9. Curatola, Giuliano, 2017. "Portfolio choice and asset prices when preferences are interdependent," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 197-223.
    10. Santos, Tano & Veronesi, Pietro, 2010. "Habit formation, the cross section of stock returns and the cash-flow risk puzzle," Journal of Financial Economics, Elsevier, vol. 98(2), pages 385-413, November.
    11. Roussanov, Nikolai, 2014. "Composition of wealth, conditioning information, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 111(2), pages 352-380.
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    13. Akira Yamazaki, 2015. "Asset Pricing With Non-Geometric Type Of Dividends," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 1-38, December.
    14. Sylvain, Serginio, 2014. "Does Human Capital Risk Explain The Value Premium Puzzle?," MPRA Paper 54551, University Library of Munich, Germany.
    15. repec:spo:wpecon:info:hdl:2441/c8dmi8nm4pdjkuc9g70969520 is not listed on IDEAS
    16. Tarek Alexander Hassan, 2010. "Country Size, Currency Areas, and International Asset Returns," 2010 Meeting Papers 365, Society for Economic Dynamics.
    17. Ma, Chaoqun & Wang, Hailong & Cheng, Fengchao & Hu, Duni, 2017. "Asset pricing and institutional investors with disagreements," Economic Modelling, Elsevier, vol. 64(C), pages 231-248.
    18. Bhamra, Harjoat S. & Coeurdacier, Nicolas & Guibaud, Stéphane, 2014. "A dynamic equilibrium model of imperfectly integrated financial markets," Journal of Economic Theory, Elsevier, vol. 154(C), pages 490-542.
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