(Answered) Consider a three-period model of intertemporal consumption. Suppose the representative consumer has…

Consider a three-period model of intertemporal consumption.
Suppose the representative consumer has the following lifetime utility function:
V = c + c′ + c′′
The consumer’s consumption must satisfy the following budget constraints each period:
Period 1: c + s1 = y
Period 2: c′ + s2 = y′ + (1 + r1) s1
Period 3: c′′ = y′′ + (1 + r2) s2
where c, c′, c′′ represent the consumer’s consumption in the first, second, and third period, respectively, and s1 and s2 represent her savings in period 1 and period 2. y, y′, y′′ are exogenously given income in each period, respectively. r1 and r2 are the exogenously given real interest rates the consumer faces when considering saving or borrowing in periods one and two, respectively.
Question 12.1 Q12.11 PointGrading comment: How does the consumer’s given lifetime utility function reflect her level of patience?
The consumer values future consumption more than current consumption.
The consumer values current consumption more than future consumption.
The consumer does not discount future consumption at all.
The implication varies depending on the given values of the real interest rates.
Save Answer
Question 12.1: Last saved on May 19 at 3:21 PM
Question 12.2 Q12.21 PointGrading comment: Find the consumer’s lifetime budget constraint.
The following multiple-choice options contain math elements, so you may need to read them in your screen reader’s “reading” or “browse” mode instead of “forms” or “focus” mode.
c + 1/(1 + r1) c′ + 1/((1 + r1)(1 + r2)) c′′ = y + 1/(1 + r1) y′ + 1/((1 + r1)(1 + r2)) y′′
c + 1/(1 + r2) c′ + 1/((1 + r1)(1 + r2)) c′′ = y + 1/(1 + r2) y′ + 1/((1 + r1)(1 + r2)) y′′
c + (1 + r1) c′ + (1 + r1)(1 + r2) c′′ = y + (1 + r1) y′ + (1 + r1)(1 + r2) y′′
c + (1 + r2) c′ + (1 + r1)(1 + r2) c′′ = y + (1 + r2) y′ + (1 + r1)(1 + r2) y′′