1. Consider a deterministic DGE model where time lasts for two periods. = Σt=0Btu(ct); The representative consumer has the utility function U₂ faces the budget constraint c₁ + a₁ = y₂ + (1+r)a₁_, for t = 0,1; and has an initial assets position given by a-1 < 0. a) Specify the maximization problem of the representative consumer and provide its economic interpretation. 1 b) Assume (i) +r analytically the optimal consumption and assets holding plan and provide an economic interpretation. = ß and (ii) y₁ = y for t=0,1, with y>0. Derive c) Explain how your result in part (b) changes if the initial asset position is positive.

ENGR.ECONOMIC ANALYSIS
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Please complete the full question most important part is part b

1. Consider a deterministic DGE model where time lasts for two periods.
The representative consumer has the utility function U Σοβtu(ct);
faces the budget constraint c₁ + a₁ = y₁ + (1+r)a₁, for t = 0,1; and has an
initial assets position given by a-1 < 0.
-
a) Specify the maximization problem of the representative consumer
and provide its economic interpretation.
1
b) Assume (i)
1+r
analytically the optimal consumption and assets holding plan and
provide an economic interpretation.
=
= B and (ii) y, y for t=0,1, with >0. Derive
=
c) Explain how your result in part (b) changes if the initial asset
position is positive.
Transcribed Image Text:1. Consider a deterministic DGE model where time lasts for two periods. The representative consumer has the utility function U Σοβtu(ct); faces the budget constraint c₁ + a₁ = y₁ + (1+r)a₁, for t = 0,1; and has an initial assets position given by a-1 < 0. - a) Specify the maximization problem of the representative consumer and provide its economic interpretation. 1 b) Assume (i) 1+r analytically the optimal consumption and assets holding plan and provide an economic interpretation. = = B and (ii) y, y for t=0,1, with >0. Derive = c) Explain how your result in part (b) changes if the initial asset position is positive.
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