Sunday

March 1, 2015

March 1, 2015

Posted by **Wesley** on Sunday, September 30, 2012 at 9:25pm.

1. Consider a model in which an individual lives two periods: this period (time one) and next period (time two). This period his budget constraint requires that his consumption, c1; plus his saving, s; equals his income, y1:

c1 + s = y1:

Next period his budget constraint requires that his consumption, c2; equals his income, y2; plus the value of his saving from the initial period:

c2 = y2 + (1 + r)s

where r is a known interest rate.

The individual's problem is to maximize is

U(c1) + βU(c2)

by choices of c1; c2; and s subject to his budget constraints. What are his optimal choices ofconsumption (in both periods) and saving when

U(c) = -1/2c^2

y1 = 1000

y2 = 200

r = 0:03;

and β = 0.97

NOTE: For this utility function, MU(c)= 1/c^3

**Answer this Question**

**Related Questions**

home economics - PLS help - Need help with some economics problems and wondering...

physics - The period of a simple pendulum is measured to be 4.0 seconds in a ...

physics - The period of a simple pendulum is measured to be 4.0 seconds in a ...

physics - The period of a simple pendulum is measured to be 4.0 seconds in a ...

business-economics - Suppose that there is a common resource of size y in a two ...

Art - What does this question mean exactly? It says.. review what you learned ...

Mathematics - My teacher gave us this equation, and I can't remember how to use ...

psychology - The longest period of time during prenatal development is the -...

English - I'm writing a term paper for history, and I wondering which is correct...

introduction to quantitaive methods - the following model is often used to ...