Solutions to Problem Set 2 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, September 24 1. Utility Maximization - Second-Order Conditions The following result spec
The Necessity of the Transversality Condition at
Innity: A (Very) Special Case
Peter Ireland
EC720.01 - Math for Economists
Boston College, Department of Economics
Fall 2010
Consider a discrete-time,
Final Exam EC720.01 - Math for Economists Boston College, Department of Economics Sunday, December 20, 2009 This exam has two questions on four pages; before you begin, please check to make sure your
Final Exam
Economics 720: Mathematics for Economists Fall 1999
This exam has three questions on three pages; before you begin, please check to make sure that your copy has all three questions and all
Solutions to Problem Set 12 EC720.01 - Math for Economists Boston College, Department of Economics Not Collected or Graded 1. Stochastic Linear-Quadratic Dynamic Programming The problem is to choose c
Solutions to Problem Set 11 EC720.01 - Math for Economists Boston College, Department of Economics Due Tuesday, December 8 Human Capital Accumulation and Economic Growth In this version of the Uzawa-L
Solutions to Problem Set 10 EC720.01 - Math for Economists Boston College, Department of Economics Due Tuesday, November 24 1. Linear-Quadratic Dynamic Programming The problem is to choose sequences c
Solutions to Problem Set 9 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, November 12 1. Natural Resource Depletion A social planner chooses continuously dierenti
Solutions to Problem Set 8 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, November 5 1. Life Cycle Saving
+1 The consumer chooses sequences cfw_ct T=0 and cfw_kt
Solutions to Problem Set 7 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 29 Consider an economy populated by a large number of identical consumers, each
LECTURE NOTES ON ECONOMIC DYNAMICS
Peter N. Ireland Department of Economics Boston College [email protected] http:/www2.bc.edu/~irelandp/ec720.html
Copyright (c) 2008 by Peter N. Ireland. Redistribut
Problem Set 4 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 8 The two welfare theorems of economics tell us that optimal and equilibrium resource allocat
Syllabus
EC720.01 - Math for Economists
Boston College, Department of Economics
Peter Ireland
Fall 2010
Tuesdays and Thursdays, 1:30 - 2:45 pm
Carney Hall, Room 305
Course Description
Economics studie
Saving Under Uncertainty
Peter Ireland
EC720.01 - Math for Economists
Boston College, Department of Economics
Fall 2010
This last example presents a dynamic, stochastic optimization problem that is si
Dynamic Programming
Peter Ireland
EC720.01 - Math for Economists
Boston College, Department of Economics
Fall 2010
We have now studied two ways of solving dynamic optimization problems, one based
on t
The Kuhn-Tucker and Envelope Theorems
Peter Ireland
EC720.01 - Math for Economists
Boston College, Department of Economics
Fall 2010
The Kuhn-Tucker and envelope theorems can be used to characterize t
Solutions to Final Exam
EC720.01 - Math for Economists
Boston College, Department of Economics
Peter Ireland
Fall 2010
Due Tuesday, December 14, 2010 at 11:00am
1. Growth and Pollution, Part I
The soc
Final Exam
EC720.01 - Math for Economists
Boston College, Department of Economics
Peter Ireland
Fall 2010
Due Tuesday, December 14, 2010 at 11:00am
This exam has three questions on ve pages; before yo
Problem Set 6 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 22 1. The Permanent Income Hypothesis The permanent income hypothesis describes how a forward
Problem Set 5 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 15 This problem set asks you to solve a series of dynamic problems that characterize the opti
Solutions to Problem Set 5 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 15 1. Optimal Lending The lenders dynamic optimization problem can be stated for
Solutions to Problem Set 4 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 8 The two welfare theorems of economics tell us that optimal and equilibrium res
Problem Set 12 EC720.01 - Math for Economists Boston College, Department of Economics Not Collected or Graded 1. Stochastic Linear-Quadratic Dynamic Programming This problem asks you to use dynamic pr
Syllabus EC720.01 - Math for Economists Boston College, Department of Economics Tuesdays and Thursdays, 1:30 - 2:45pm Carney Hall, Room 305 Course Description Economics studies the ecient allocation o
Problem Set 11 EC720.01 - Math for Economists Boston College, Department of Economics Due Tuesday, December 8 Human Capital Accumulation and Economic Growth This problem set asks you to use dynamic pr
Problem Set 3 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, October 1 Many famous results from microeconomic theory are now understood to be special cases of the
Problem Set 10 EC720.01 - Math for Economists Boston College, Department of Economics Due Tuesday, November 24 1. Linear-Quadratic Dynamic Programming This problem will give you more practice with dyn
Problem Set 2 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, September 24 1. Utility Maximization - Second-Order Conditions The following result specializes Theor
Problem Set 9 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, November 12 1. Natural Resource Depletion Consider a continuous time version of the natural resource
Problem Set 8 EC720.01 - Math for Economists Boston College, Department of Economics Due Thursday, November 5 1. Life Cycle Saving Consider a consumer who is employed for T + 1 periods: t = 0, 1, ., T