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

Codinal theory - consumer choice concernin utility, Ordinal Theory: A...

Ordinal Theory: A Short Note In ordinal approach, utility is measured ordinally i.e., qualitatively (not numerically or quantitatively). Alternatively, consumer can rank her

Outline two main restrictions by indian government applied t, outline two m...

outline two main restrictions by indian government applied to import. Using the data from your case study analyse and explain who would benefit directly and who would lose directly

Allocate their scarce resources, What are the three methods that societies ...

What are the three methods that societies have used to allocate their scarce resources? Give an example of each method. Give an example of a good that uses all three methods at onc

Nation in which the volume of goods, Consider a nation in which the volume ...

Consider a nation in which the volume of goods and services is growing by 5 percent per year. If a country's economic size is growing faster than the rest of the world, then

Real gdp growth rate of an economy, a.  State concisely, in your own words,...

a.  State concisely, in your own words, the essence i.of what GDP measures and ii.what GDP doesnot measure.  b.  Stocks and bonds issued by firms comprise the "Investment" co

Classical model, using a graph of the classical labour market,illustrate th...

using a graph of the classical labour market,illustrate the effects of a real wage existing in the market that is lower than the equilibrium real wage.What will eventually happen i

Net Exports and the price level, Ok... So if the price level is rising, th...

Ok... So if the price level is rising, this means that inflation is rising as well, so the value of the dollar in the US would decrease meaning that purchasing power decreases as

What is gross national product, What is Gross National Product? Gross...

What is Gross National Product? Gross National Product (GNP): It measures the value of output produced through a country is citizens anywhere within the world, in a speci

Appropriate capacity exponent, Estimate the cost of expanding a planned new...

Estimate the cost of expanding a planned new clinic by 20,000ft^2. The appropriate capacity exponent is 0.66, and the budget estimate for 200,000ft^2 was $15 million.

Principle of acceleration, importance and limitation of principle of accele...

importance and limitation of principle of acceleration

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