Instructors Manual
For Principles of Econometrics, Fourth Edition
Instructors Manual
For Principles of Econometrics, Fourth Edition
WILLIAM E. GRIFFITHS
University of Melbourne
R. CARTER HILL
Louisiana State University
GUAY C. LIM
University of Melbourne
Homework 1.
September 17, 2016.
This homework assignment is envisaged by the syllabus of MSE 510 Economic
Statistics course. Students are supposed to answer the questions and Solve the
exercises, providing details of their workings whenever required. Answ
ECON 320 Microeconomic Theory
Course Syllabus
Fall 2016
Course Number and Title: ECON 320 Microeconomic Theory
Number of Credits: 3
Instructor Name: Gayane Barseghyan,
Sevag Agop (Teaching Assistant)
E-mail Address: gbarseghyan@aua.am
Telephone Number: 06
Homework 2
October 3, 2015.
This homework assignment is envisaged by the syllabus of MSE 510 Economic
Statistics course. Students are supposed to answer the questions and Solve the
exercises, providing details of their workings whenever required. Answer s
Matrix Algebra for Econometrics and Statistics
GARTH TARR
2011
Fundamentals
Quadratic Forms
Systems
Sums
Applications
Matrix fundamentals
a11 a12 a13
A=
a21 a22 a23
A matrix is a rectangular array of numbers.
Size: (rows)(columns). E.g. the size of A is
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 9 Solution Key
DUE: You should have completed it by Sat, 8 October, 2016.
Most of the exercises are from the textbook.
1
2
3
4
Mathematical Methods for Economists, MSE500, Fall 2015
Homework 5
DUE: You should have completed it by 18:30pm, Thursday, 10 September, 2015.
Most of the exercises are from the textbook.
1. Exercise 11.2: #1, #2, #3, #4
#1:
#2:
#3:
1
2. Exercise 11.4: #3,
Inside
ECONOMICS
Mathematics for Economists
Eigenvalues and Eigenvectors
Introduction
The eigenvalues and eigenvectors of a square matrix is another facet of linear and nonlinear
systems of equations. Eigenvalues are important when studying dynamic nonlin
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 6
DUE: You should have completed it by Sat, 17 September, 2016.
Most of the exercises are from the textbook.
1.
12.2
#1 (d) Z = 7 y + x2 + (-x - y). The necessary condition is: Z = x y = 0 Z
Quantitative Methods for Economists, MSE500 (Fall 2015)
Midterm Exam Solution Key
Total Points: 80 points
1.
points
10
[5 points] a) Draw the graph of the function f(x) = min (3x + 4, 6 x)
Hint: the function min means you take the minimum of its
variables
Quantitative Methods for Economists, Econ300
Homework 2- Solution Key
DUE: You should have complete it by 14:00, Saturday, 3 September, 2016.
Most of the exercises are from the textbook.
1. 12.6
#1 (a) (jx)(jy) = jxy ; homogeneous of degree one.
(b) [()2
Mathematical Methods for Economists, MSE500 (Fall 2015)
Quiz 2 Solution Key
(covers HW 4-5 materials)
1. Find the relative maxima and minima of y by the second-derivative
test: y = x3 + 6x2 + 9
Answer:
FOC: y = 0
y = 3x2 +12x = 0 => 3x(x+4) = 0 => x*1 = 0
Quantitative Methods for Economists, MSE500 (Fall 2015)
Midterm Exam
Total Points: 80 points
1.
10 points
[5 points] a) Draw the graph of the function f(x) = min (3x + 4, 6 x)
Hint: the function min means you take the minimum of its variables,
e.g. f(x) =
Homework 1- Solution Key
Econ300 - Quantitative Methods for Economists
You should have completed the homework by 14:00, Saturday, 3 September, 2016.
Almost all exercises are from the textbook.
1. Chapter 2.3
#2. True statements: (a), (d), (f), (g), and (h
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 7
DUE: You should complete it by Sat, 24 September, 2016.
The exercise is from the textbook.
Exercise 13.2 #2 b) (textbook page 418)
Quantitative Methods for Economists, MSE500 (Fall 2014)
Midterm Exam Solution Key
Total Points: 80 points
1.
10 points
[5 points] a) Draw the graph of the function f(x) = max (2x + 3, 6 3x)
Hint: the function max means you take the maximum of its variable
Quantitative Methods for Economists, MSE500 (Fall 2014)
Midterm Exam
Write your name here: _
Total Points: 80 points
Note: Work out your answers in the empty areas below each problem on this paper.
Clearly show all your work. No point will be given only f
Mathematical Methods for Economists, MSE500 - Fall 2015
Quiz 2 ver.2
(covers HW 4-5 materials)
DUE: You should complete it within 50 minutes.
Total Points: 38
points
Note: Clearly show all your work. No point will be given only for the final answer.
1. Fi
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 9
DUE: You should complete it by Sat, 8 October, 2016.
Most of the exercises are from the textbook.
1. Ex. 4.6 2. b)
2. Ex. 4.6 6. b) [matrix C is idempotent if C times C is equal C, i.e. CC
Mathematical Methods for Economists, MSE500 (Fall 2015)
Quiz 2-ver.2 Solution Key
(covers HW 4-5 materials)
1. Find the relative maxima and minima of y by the second-derivative
test: y = x3 + 6x2 + 9
Answer:
2. Now, we have more than one choice variable (
Mathematical Methods for Economists, MSE500 - Fall 2015
Quiz 2
(covers HW 4-5 materials)
DUE: You should complete it within 50 minutes.
Total Points: 38 points
Note: Clearly show all your work. No point will be given only for the final answer.
1. Find the
Econ300 - Quantitative Methods for Economists, Fall 2016
Homework 3- Solution Key
DUE: You should have complete it by 14:00, Saturday, 3 September, 2016.
All of the exercises are from the textbook.
1. 8.1
#1 (c) dy =
1x2
(x2 +1)2
dx
2. 8.2
#2 (b) dU = (2+
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 8 Solution Key
DUE: You should have completed it by Sat, 1 October, 2016.
The exercises are from the textbook.
1.
4.2. #1 d)
2.
4.2. #4 c)
3.
4.3. #1 h)
4.
4.3. #5 f)
5.
4.5. #3 b)
2x6
6.
5.
Econ300 - Quantitative Methods for Economists, Fall 2016
Homework 4- Solution Key
DUE: You should have completed it by 14:00, Saturday, 10 September, 2016.
All of the exercises are from the textbook.
1.
9.2
#2 (a) Setting f(x) = 3x2 3 = 0 yields two criti
Quantitative Methods for Economists, Econ300, Fall 2016
Homework 7 Solution Key
DUE: You should have completed it by Sat, 24 September, 2016.
The exercise is from the textbook.
13.2.
#2 b)
The constraint border is a circle with a radius of 1, and with its