Abstract
We explore the consequences for asset pricing of admitting a bequest motive into an otherwise standard overlapping generations economy where agents trade equity, a risk free asset and consol bonds. With low risk aversion, the calibrated model produces realistic values for the mean equity premium and the risk free rate, the variance of the equity premium, and the ratio of bequests to wealth. However, the variance of the risk free rate is unrealistically high. Security prices tend to be substantially higher in an economy with bequests as compared to an otherwise identical one where bequests are absent. We are able to keep the prices sufficiently low to generate reasonable returns and premia by stipulating that a portion of the bequests skips a generation and is received by the young.
“You never actually own a Patek Philippe. You merely take care of it for the next generation.”
Patek Philippe & Co.
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References
Abel A.B., Warshawsky M. (1988) Specification of the joy of giving: insights from altruism. Rev Econ Stat 70(1): 145–49
Altonji J.G., Hayashi F., Kotlikoff L.J. (1997) Parental altruism and inter vivos transfers: theory and evidence. J Polit Econ 105, 1121–1166
Becker G.S., Barro R.J. (1988) A reformulation of the economic theory of fertility. Q J Econ 103(1): 1–25
Bewley, T.F.: Thoughts on tests of the intertemporal asset pricing model. Working paper, Northwestern University (1982)
Boldrin M., Christiano L., Fisher J. (2001) Habit persistence, asset returns, and the business cycle. Am Econ Rev 91, 149–166
Brav A., Constantinides G.M., Geczy C.C. (2002) Asset pricing with heterogeneous consumers and limited participation: empirical evidence. J Polit Econ 110, 793–824
Campbell J.Y., Cochrane J.H. (1999) By force of habit: a consumption-based explanation of aggregate stock market behavior. J Polit Econ 107, 205–251
Cass D., Pavlova A. (2004) On trees and logs. J Econ Theory 116, 41–83
Constantinides G.M., Donaldson J.B., Mehra R. (2002) Junior can’t borrow: a new perspective on the equity premium puzzle. Q J Econ 117, 269–296
Constantinides G.M., Donaldson J.B., Mehra R. (2005) Junior must pay: pricing the implicit put in privatizing social security. Ann Fin 1, 1–34
Constantinides G.M., Duffie D. (1996) Asset pricing with heterogeneous consumers. J Polit Econ 104, 219–240
Fernandez-Villaverde, J., Krueger, D.: Consumption over the lifecycle: some facts from consumer expenditure survey data. NBER working paper (2004)
Gale W., Scholz J.K. (1994) IRAs and household savings. Am Econ Rev 84, 1233–1260
Geanakoplos, J., Magill, M., Quinzii, M.: Demography and the long run predictability of the stock market. Cowles Foundation Discussion Paper 1380 (2004)
Hurd M.D. (1989) Mortality risk and bequests. Econometrica 57, 779–813
Hurd M.D., Mundaca B.G. (1989) The importance of gifts and inheritances among the affluent. In: Lipsey R.E., Tice H.S. (eds) The Measurement of Saving, Investment and Wealth. Chicago, The University of Chicago Press
Jermann U.J. (1998) Asset pricing in production economies. J Monet Econ 41, 257–275
Kocherlakota N.R. (1996) The equity premium: it’s still a puzzle. J Econ Literat 34, 42–71
Kotlikoff L., Summers L. (1981) The role of intergenerational transfers in aggregate capital accumulation. J Polit Econ 89, 706–732
Kopczuk, W., Lupton, J.: To leave or not to leave: the distribution of bequest motives. Forthcoming in the Rev Econ Stud (2006)
Laitner J., Juster T.F. (1996) New evidence on altruism: A study of TIAA-CREF retirees. Am Econ Rev 86, 893–908
Laitner J., Ohlsson H. (2001) Bequest motives: a comparison of Sweden and the United States. J Public Econ 79, 205–236
Lucas R.E. Jr. (1978) Asset prices in an exchange economy. Econometrica 46, 1429–1445
Mankiw N.G. (1986) The equity premium and the concentration of aggregate shocks. J Fin Econ 17, 211–219
Mankiw N.G., Zeldes S. (1991) The consumption of stockholderes and non-stockholders. J Fin Econ 29, 97–112
McGrattan, E.R., Prescott, E.C.: Is the stock market overvalued? Federal Reserve Bank Minneapolis Q Rev 24(4), (2000)
McGrattan E.R., Prescott E.C. (2003) Average debt and equity returns: puzzling?. Am Econ Rev 93, 392–397
McGrattan E.R., Prescott E.C. (2005) Taxes, regulations, and the value of US and UK corporations. Rev Econ Stud 92, 767–796
Mehra R. (1988) On the existence and representation of equilibrium in an economy with growth and nonstationary consumption. Int Econ Rev 29, 131–135
Mehra R. (2003) The equity premium: why is it a puzzle. Financ Analysts J 59(1): 54–69
Mehra R., Prescott E.C. (1985) The equity premium: a puzzle. J Monet Econ 15, 145–161
Mehra, R., Prescott, E.C.: The equity premium in retrospect. In: Constantinides, G.M., Harris, M., Stulz, R. (eds) Handb Econ Finance. Amsterdam: North-Holland, 2003
Menchik P., Martin D. (1983) Income distribution, lifetime savings and bequests. AER 73(4): 672–690
Modigliani F. (1988) The role of intergenerational transfers and life-cycle saving in the accumulation of wealth. J Econ Perspect 2, 15–40
Vissing-Jorgensen A. (2002) Limited asset market participation and the elasticity of intertemporal substitution. J Polit Econ 110, 825–853
Wilhelm M.O. (1996) Bequest behavior and the effect of heir’s earnings: Testing altruistic models of bequests. Am Econ Rev 32, 137–150
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We thank John Cox, Jean Pierre Danthine, Felix Kubler, Edward Prescott and seminar participants at The Bank of Italy, Columbia, Lausanne, Mannheim, MIT, Lugano, SIFR, the University of New South Wales, USC, Yale and the University of Zurich for insightful xcomments. The usual caveat applies.
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Constantinides, G.M., Donaldson, J.B. & Mehra, R. Junior is rich: bequests as consumption. Economic Theory 32, 125–155 (2007). https://doi.org/10.1007/s00199-006-0163-x
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DOI: https://doi.org/10.1007/s00199-006-0163-x