Abstract
To characterize the equilibrium and to facilitate existence proofs, this chapter introduces the notion of a representative trader. A representative trader is a hypothetical individual whose trades, in a sense to be made precise below, reflect the aggregate trades of all individuals in the economy. A representative trader is defined by her beliefs, utility function, and endowments.
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References
K. Back, Asset Pricing and Portfolio Choice Theory (Oxford University Press, Oxford, 2010)
S. Basak, D. Cuoco, An equilibrium model with restricted stock market participation. Rev. Financ. Stud. 11(2), 309–341 (1998)
J. Choi, K. Larsen, Taylor Approximation of incomplete Radner equilibrium models. Finance Stoch. 19, 653–679 (2015)
P. Christensen, K. Larsen, Incomplete continuous time securities markets with stochastic income volatility. Rev. Asset Pric. Stud. 4(2), 247–285 (2014)
C. Cuoco, H. He, Dynamic equilibrium in infinite-dimensional economies with incomplete financial markets. Working paper, Wharton (1994)
R. Dana, M. Jeanblanc, Financial Markets in Continuous Time (Springer, Berlin, 2003)
D. Duffie, Dynamic Asset Pricing Theory, 3rd edn. (Princeton University Press, Princeton, NJ, 2001)
C. Huang, R. Litzenberger, Foundations for Financial Economics. Classic Textbook (North-Holland, New York, 1988)
J. Hugonnier, Rational asset pricing bubbles and portfolio constraints. J. Econ. Theory 147, 2260–2302 (2012)
R. Jarrow, An equilibrium capital asset pricing model in markets with price jumps and price bubbles. Q. J. Finance (2017, forthcoming)
I. Karatzas and S. Shreve, Methods of Mathematical Finance (Springer, Berlin, 1999)
C. Kardaras, H. Xing, G. Zitkovic, Incomplete stochastic equilibria with exponential utilities close to Pareto optimality. SSRN (2015)
D. Kramkov, Existence of an endogenously complete equilibrium driven by a diffusion. Finance Stoch. 19, 1–22 (2015)
K. Larsen, Continuous equilibria with heterogeneous preferences and unspanned endowments. Working paper, Carnegie Mellon University (2009)
K. Larsen, T. Sae-Sue, Radner equilibrium in incomplete Levy models. Working paper, Carnegie Mellon University (2016)
H. Pham, Continuous time Stochastic Control and Optimization with Financial Applications (Springer, Berlin, 2009)
A. Ruszczynski, Nonlinear Optimization (Princeton University Press, Princeton, NJ, 2006)
G. Zitkovic, Financial equilibria in the semimartingale setting: complete markets and markets with withdrawal constraints. Finance Stoch. 10, 99–119 (2006)
G. Zitkovic, An example of a stochastic equilibrium with incomplete markets. Finance Stoch. 16, 177–206 (2012)
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Jarrow, R.A. (2018). A Representative Trader Economy. In: Continuous-Time Asset Pricing Theory. Springer Finance(). Springer, Cham. https://doi.org/10.1007/978-3-319-77821-1_14
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DOI: https://doi.org/10.1007/978-3-319-77821-1_14
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