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

Explaining balance of payments, Explaining balance of payments: First,...

Explaining balance of payments: First, with the second oil shock of  1979-80 and  doubling of  India's  import bill along with  dismal  export performance as result of severe

NATIONAL INCOME STATISTICS, EXPLAIN ANY FIVE USES OF NATIONAL INCOME STATIS...

EXPLAIN ANY FIVE USES OF NATIONAL INCOME STATISTICS

Liberalisation of capital account and convertibility issue, Liberalisation ...

Liberalisation of Capital Account and Convertibility Issue: Broadly speaking and irrespective of sector specificity, a liberalised system is one where the role of the governme

Decrease the nominal deficit, Which of the following will decrease the nomi...

Which of the following will decrease the nominal deficit? A. An increase in taxes. B. An increase in the debt. C. An increase in government expenditures. D. An increase in interest

Economic theory helps society, Do you agee or disagree " Economic theory he...

Do you agee or disagree " Economic theory helps society reach economic goals that it has selected for itself?" Justify your answer.

Aggregate demand and supply diagram, Using an aggregate demand and supply d...

Using an aggregate demand and supply diagram, explain how each of the following scenarios affects the equilibrium price level and aggregate output. Consider first the short-run, th

Company undertake the project, Q1. A company selling widgets advertises thr...

Q1. A company selling widgets advertises through three types of media: print, television and internet. Recently the company has decided to increase its advertising budget by $100,0

Rate of growth, Rate of Growth  Every country desires economic growth. ...

Rate of Growth  Every country desires economic growth. A country's economic performance is often judged on the basis of - among other things - the rates of growth it has manage

Are credit cards, It is sometimes asked whether credit cards are money sinc...

It is sometimes asked whether credit cards are money since many purchases are made using these. Credit cards are a means of obtaining credit and using this to finance expenditure,

Quantity equation, Quantity Equation-Has this theory worked? Why or why not...

Quantity Equation-Has this theory worked? Why or why not?

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