Assume a discrete-time economy with L agents. Each agent maximizes timeadditive expected utility E T t=0

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Assume a discrete-time economy with L agents. Each agent  maximizes timeadditive expected utility E T t=0 βt

u(ct)



where u is strictly increasing and concave.

Show that

ζt+1

ζt

=

L

=1 βu

(c,t+1)

L

=1 u

(ct)

is a valid one-period state-price deflator. How do you define the full state-price deflator process ζ = (ζt)?

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