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Policy Discussion Paper No. 05-3
by Mark Aguiar and Erik Hurst
Using scanner data and time diaries, we document how households
substitute time for money through shopping and home production.
We find evidence that there is substantial heterogeneity
in prices paid across households for identical consumption
goods in the same metro area at any given point in time.
For identical goods, prices paid are highest for middleaged,
rich, and large households, consistent with the hypothesis
that shopping intensity is low when the cost of time is high.
The data suggest that a doubling of shopping frequency lowers
the price paid for a given good by approximately 10 percent.
From this elasticity and observed shopping intensity, we
impute the shopper’s opportunity cost of time, which peaks
in middle age at a level roughly 40 percent higher than that
of retirees. Using this measure of the price of time and
observed time spent in home production, we estimate the parameters
of a home production function. We find an elasticity of substitution
between time and market goods in home production of close
to 2. Finally, we use the estimated elasticities for shopping
and home production to calibrate an augmented lifecycle consumption
model. The augmented model predicts the observed empirical
patterns quite well. Taken together, our results highlight
the danger of interpreting lifecycle expenditure without
acknowledging the changing demands on time and the available
margins of substituting time for money.
JEL classification codes: E2, D1, D4
Keywords: lifecycle consumption, permanent income hypothesis, home production, time use
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