Modeling the Long Run: Valuation in Dynamic Stochastic Economies / Lars Peter Hansen.

Format:

Book

Author/Creator:

Hansen, Lars Peter.

Contributor:

National Bureau of Economic Research.

Series:

Working Paper Series (National Bureau of Economic Research) no. w14243.

NBER working paper series no. w14243

Language:

English

Physical Description:

1 online resource: illustrations (black and white);

Other Title:

Modeling the Long Run

Place of Publication:

Cambridge, Mass. National Bureau of Economic Research 2008.

Summary:

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.

Notes:

Print version record

August 2008.