Tf. Cooley et M. Ogaki, A TIME-SERIES ANALYSIS OF REAL WAGES, CONSUMPTION, AND ASSET RETURNS, Journal of applied econometrics, 11(2), 1996, pp. 119-134
This paper re-examines whether the time series properties of aggregate
consumption, real wages, and asset returns can be explained by a neoc
lassical model, Previous empirical rejections of the model have sugges
ted that the optimal labour contract model might be appropriate for un
derstanding the time series properties of the real wage rate and consu
mption, We show that an optimal contract model restricts the long-run
relation of the real wage rate and consumption. We exploit this long-r
un restriction (cointegration restriction) for estimating and testing
the model, using Ogaki and Park's (1989) cointegration approach. This
long-run restriction involves a parameter that we call the long-run in
tertemporal elasticity of substitution (IES) for non-durable consumpti
on but does not involve the IES for leisure. This allows us to estimat
e the long-run IES for non-durable consumption from a cointegrating re
gression, Tests for the null of cointegration do not reject our model,
As a further analysis, our estimates of the long-run IES for non-dura
ble consumption are used to estimate the discount factor and a coeffic
ient of time-nonseparability using Hansen's (1982) Generalized Method
of Moments. We form a specification test for our model a la Hausman (1
978) from these two steps. This specification test does not reject our
model.