User Account

All Pages

solow model, Macroeconomics

Assignment Help:
Q1. The poorest countries in the world have a per capita income of about $600 today.
We can reasonably assume that it is nearly impossible to live on an income below half
this level (i.e., below $300). Per capita income in Australia in 2010 was about $60,000.
With this information in mind, consider the following questions.
(a) For how long is it possible that per capita income in Australia has been growing
at an average annual rate of 2% per year? (2 points)
(b) Some economists have argued that growth rates are mismeasured. For example, it
may be difficult to compare per capita income today with per capita income a
century ago when so many of the goods we buy today were not available at any
price. Suppose the true growth rate in the last two centuries was 3% per yearrather than 2%. What would the level of per capita income in 1850 have been in
this case? Is this answer plausible?



Q3. In this question, we are going to do some “normative” economics (i.e., “what ought
to be”) instead of “positive” economics (i.e., “what is”). Specifically, we will examine
whether the six countries in Q2 are investing too little or too much for the benefits of
their future generations. For this question, again consider the Solow model with labour
share of 2/3rds.
(a) Show mathematically that steady-state consumption per capita can be expressed
as c* = A(k* )1/3 - dk* . Show your workings. (2 points)
(b) Maximize steady-state consumption with respect to steady-state capital per
capita—i.e., solve for ?c*
?k* using the chain-rule in calculus that ?y
?x
= axa-1 for a
function y = xa . Denote the steady-state level of capital per capita that maximizes
steady-state consumption per capita as kGR , where GR denotes “Golden Rule”
(see below). What is kGR as a function of the productivity parameter and the
depreciation rate? (2 points)
(c) Noting that steady-state capital will always be k* =
sA
d
!
" #
$
% &
3/2
for this model (why?),
what s will maximize steady-state consumption (i.e., what value for s will make
k* equal to the steady-state capital per capita that you solved in part (b))? (2
points)
(d) Macroeconomists refer to the value of s solved for in part (c) as the “Golden
Rule” (i.e., “Do unto others,…”) investment rate. The idea is that investment at
this rate will maximize consumption for future generations. Meanwhile, a lower
investment rate means that households are consuming more today at the expense
of future generations, while a higher investment rate means that all generations
are investing too much and not enjoying consuming enough of the fruits of their
labours. Based on the solution in part (c) and the investment rates in Q2, which
countries are investing too little, too much, or just right, at least according to the
Solow growth model and the Golden Rule investment rate? (2 points)

Related Discussions:- solow model

Fact that price and quantity, The fact that price and quantity demanded are...

The fact that price and quantity demanded are related negatively illustrates the? a. law of supply b. law of quantity supply c. law of demand d. law of quantity demande

What are the potential disadvantages of growth, What are the potential disa...

What are the potential disadvantages of growth? The potential disadvantages of growth are as follows: • Raised pollution, • Depletion of non renewable natural resources

About assignment, i have assignment due within less than 24 hours if i sub...

i have assignment due within less than 24 hours if i submit assignment can i get it back before 24 hours?

Consumer confidence, Use a diagram of the open economy model (e.g. fig 32.4...

Use a diagram of the open economy model (e.g. fig 32.4 from the text) to illustrate and explain the effect of the following event on the market for loanable funds, the level of net

Absolute advantage and comparative advantage, Differences between absolute ...

Differences between absolute advantage and comparative advantage?              Ans) Absolute benefit and comparative benefit are two basic concepts to international trade. Under

What is probability the time between two successive calls, A one-car taxi c...

A one-car taxi company receives an average of 18 calls per day. The receptionist takes down details of the requested journey and relays them to the driver by radio. Each passenger'

Influx of foreign labor, If a nation were to experience an influx of foreig...

If a nation were to experience an influx of foreign labor into the market for corn production, the production possibilities frontier for the nation would: a. shift inward due to

Importance of macroeconomics models, Importance of macroeconomics models ...

Importance of macroeconomics models Using the models we can, for example, analyze what happens when the government increases consumption, when the central bank increases the tar

Organizational design, discuss approach to organizational design

discuss approach to organizational design

#title.williams managerial discretion model, The different between williams...

The different between williams managerial discretion model and baumol''s sales maximization model

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd