47507-midterm

47507-midterm - ECO 475, Fall 2007, Midterm Exam Jay H....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECO 475, Fall 2007, Midterm Exam Jay H. Hong Oct 24, 2007 This exam has 3 questions, for a total of 100 points. You have 2 hours. Manage your time wisely. Feel free to make an appropriate assumption if needed. Good luck!! 1. Two Production Possibilities (35 points) There is an economy with many identical consumers who have preferences t =0 t u ( c t ) where c t is own consumption at time t period. There are two possible ways to produce output. Output can be produced either by using the first production technology, which can be written as y t = F ( k t ) where k t is capital or by using the second technology, which y t = G ( k t ) = B k t where B > 1. Notice that the second technology is linear. Capital depreciates at rate . Assume that the usual assumptions on instantaneous utility function, u ( ) are satisfied. Also assume that F > 0, F 00 < 0, F (0) = 0, F (0) = , F ( ) = 0. Output can be used either for consumption or investment. k > 0 is given. (a) (3 points) [ Economy I ] Imagine an economy where the second technology is not available and you are only allowed to use the first technology. Write down the Bellmans equation. What are the state and control variables? (b) (3 points) [ Economy II ] Imagine now you are only allowed to use the second technology. Write down the Bellmans equation. What are the state and control variables? Derive the Euler equation....
View Full Document

Page1 / 3

47507-midterm - ECO 475, Fall 2007, Midterm Exam Jay H....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online