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

Relation between nominal interest rate and inflation, Relation between nomi...

Relation between nominal interest rate, real interest rate and inflation If we denote the nominal interest rate by R, the real rate by r and the expected inflation by p e then

Accounting system-example i, ACCOUNTING SYSTEM-EXAMPLE I  Consider a ve...

ACCOUNTING SYSTEM-EXAMPLE I  Consider a very simple economy. It consists of a. A number of households. b. A single productive organization, a 'firm' - say the Jam Corpora

Illustrate biological effects of patulin, Q. Illustrate biological effects ...

Q. Illustrate biological effects of Patulin? Biological activity: Patulin has an acute oral LD 50 in rodents of about 30-50 mg/kg and has been shown to be teratogenic, immunot

How are individual makes choices, How are individual makes choices? Fun...

How are individual makes choices? Fundamental principles behind the individual choices are as follows: 1. Resources are scarce . 2. The real cost of anything is what y

Impulse response functions, The final and most important part of the method...

The final and most important part of the methodology is the impulse response functions which will provide the most information with regards to the aim of the project. In order to a

Supply-side economics market freedom, What is Supply-side Economics Market ...

What is Supply-side Economics Market Freedom? Markets must be allowed to work more freely and steps taken to improve this efficiency by:   freeing them from governm

?k=s*f(k)-(?+n)k, y=vk ?k=s*f(k)-(?+n)k saving rate 28% population growth o...

y=vk ?k=s*f(k)-(?+n)k saving rate 28% population growth of 1% Have y persistent size s, n, g and ?function

Social cohesion and increase the scope, "International bodies such as the a...

"International bodies such as the aced argue that more unequal income and wealth distribution erode social cohesion and increase the scope for internal conflict."

Aggregate supply and demand, Aggregate Supply and Demand 1. The equati...

Aggregate Supply and Demand 1. The equation for expenditure GDP is 2. Sketch a fully labeled aggregate supply and demand diagram for an economy that is in full employment equ

Payment toward its bank loan, During the year, Calabash Clinic made a $50,0...

During the year, Calabash Clinic made a $50,000 cash payment toward its bank loan which it had previously recorded; $40,000 was for principal, and $10,000 was to pay the full amoun

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