Modeling the Long Run: Valuation in Dynamic Stochastic Economies

Lars Hansen

No 14243, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: I explore the equilibrium value implications of economic models that incorporate reactions to a stochastic environment. I propose a dynamic value decomposition (DVD) designed to distinguish components of an underlying economic model that influence values over long horizons from components that impact only the short run. To quantify the role of parameter sensitivity and to impute long-term risk prices, I develop an associated perturbation technique. Finally, I use DVD methods to study formally some example economies and to speculate about others. A DVD is enabled by constructing operators indexed by the elapsed time between the date of pricing and the date of the future payoff (i.e. the future realization of a consumption claim). Thus formulated, methods from applied mathematics permit me to characterize valuation behavior as the time between price determination and payoff realization becomes large. An outcome of this analysis is the construction of a multiplicative martingale component of a process that is used to represent valuation in a dynamic economy with stochastic growth. I contrast the differences in the applicability between this multiplicative martingale method and an additive martingale method familiar from time series analysis that is used to identify shocks with long-run economic consequences.

JEL-codes: C0 E44 G1 (search for similar items in EconPapers)
Date: 2008-08
New Economics Papers: this item is included in nep-dge and nep-mac
Note: AP EFG
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

Published as Dynamic Valuation Decomposition Within Stochastic Economies; Fisher–Schultz Lecture, Econometrica 80(3):911-967, May, 2012

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