Power Risk Aversion Utility Functions
This paper introduces a new class of utility function -- the power risk aversion.It is shown that the CRRA and CARA utility functions are both in this class. The implications of the PRA utility functions are explored in the context of growth theory. In particular, it is found that economies facing a common real interest rate do not necessarily grow at the same rates if they start with different levels of capital stock. Thus diversity in growth performance across countries occurs even if these countries have access to perfect international capital markets. Potential applications of the PRA in asset pricing are considered.
|Date of creation:||22 Aug 2002|
|Date of revision:|
|Note:||Type of Document - Acrobat PDF; prepared on PC; to print on HP/PostScript/Franciscan monk; pages: 18; figures: Included|
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- Mehra, Rajnish & Prescott, Edward C., 1985.
"The equity premium: A puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 15(2), pages 145-161, March.
- Paul Romer, 1989.
"Endogenous Technological Change,"
NBER Working Papers
3210, National Bureau of Economic Research, Inc.
- R. C. Merton, 1970.
"Optimum Consumption and Portfolio Rules in a Continuous-time Model,"
58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
- Jeff Frank, 1990. "Monopolistic Competition, Risk Aversion, and Equilibrium Recessions," The Quarterly Journal of Economics, Oxford University Press, vol. 105(4), pages 921-938.
- Robert J. Barro, 1989.
"Economic Growth in a Cross Section of Countries,"
NBER Working Papers
3120, National Bureau of Economic Research, Inc.
- Robert G. King & Sergio T. Rebelo, 1989.
"Transitional Dynamics and Economic Growth in the Neoclassical Model,"
NBER Working Papers
3185, National Bureau of Economic Research, Inc.
- King, Robert G & Rebelo, Sergio T, 1993. "Transitional Dynamics and Economic Growth in the Neoclassical Model," American Economic Review, American Economic Association, vol. 83(4), pages 908-31, September.
- King, R.G. & Rebelo, S.T., 1989. "Transitional Dynamics And Economic Growth In The Neoclassical Model," RCER Working Papers 206, University of Rochester - Center for Economic Research (RCER).
- Lucas, Robert E, Jr, 1990. "Why Doesn't Capital Flow from Rich to Poor Countries?," American Economic Review, American Economic Association, vol. 80(2), pages 92-96, May.
- Danyang Xie, 2002.
"Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria,"
GE, Growth, Math methods
- Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
- Rebelo, Sergio, 1991.
"Long-Run Policy Analysis and Long-Run Growth,"
Journal of Political Economy,
University of Chicago Press, vol. 99(3), pages 500-521, June.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
- Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 43-61.
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