Consider an economic agent who is going to live for two periods. For each period, his utility function is: u₂ (₁) { 1000 with certainty; b) if u 800 with certainty; C₁ if ≤ 1000 500+ if > 1000 } His current income is yo = 1000, risk-free rate r and discount factor & are equal to zero. How much will this agent save at time 0:

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2. (Consumption and savings)
Consider an economic agent who is going to live for two periods. For each period, his utility
function is:
{{
His current income is yo = 1000, risk-free rater and discount factor ó are equal to zero.
How much will this agent save at time - 0:
un (₁)
if & ≤ 1000
500+ if > 1000
Ct
a) if y
1000 with certainty;
b) if y
800 with certainty;
c) if y = 1200 with certainty;
d) if y, is a random variable: = 800 with probability 1/2, or 1200 with probability 1/2?
Does he make precautionary savings?
Transcribed Image Text:2. (Consumption and savings) Consider an economic agent who is going to live for two periods. For each period, his utility function is: {{ His current income is yo = 1000, risk-free rater and discount factor ó are equal to zero. How much will this agent save at time - 0: un (₁) if & ≤ 1000 500+ if > 1000 Ct a) if y 1000 with certainty; b) if y 800 with certainty; c) if y = 1200 with certainty; d) if y, is a random variable: = 800 with probability 1/2, or 1200 with probability 1/2? Does he make precautionary savings?
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