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

The income tax rate is reduced, If income falls below its potential and the...

If income falls below its potential and the income tax rate is reduced, this will: A. raise the passive deficit but reduce the structural deficit. B. raise both the passive and str

Potato chip industry in the northwest, In 2007, the potato chip industry in...

In 2007, the potato chip industry in the Northwest was competitively structured and in long-run competitive equilibrium; firms were earning a normal rate of return and were competi

What are the important aspects in tracking the macro-economy, What are the ...

What are the important aspects in tracking the macro-economy? Important aspects in tracking the macro-economy: a. How economists utilizes aggregate measures to track the pre

Consumption , . (40 points) Consider two consumers, A and B. A and B both w...

. (40 points) Consider two consumers, A and B. A and B both want perfect consumption smoothing (c = cf) and both have no current wealth. However, the two consumers have different i

Public Sector, What is top marginal rate of taxation?

What is top marginal rate of taxation?

What are the potential advantages of economic growth, What are the potentia...

What are the potential advantages of economic growth? The potential advantages of growth include • More goods and services are accessible to satisfy more want and requireme

Demand schedule for cupcakes, A cupcake store is located in a mall and is t...

A cupcake store is located in a mall and is the only cupcake store in that mall. The demand schedule for cupcakes (per dozen) is given in the table below. If the marginal cost to p

Unemployment, Assume an economy that is operating above full employment. A....

Assume an economy that is operating above full employment. A. Draw a correctly labeled AD/AS graph showing: i. the problem in the economy ii. current price level and output iii. fu

Explain the problem involved in consumer price index, Q. Explain the proble...

Q. Explain the problem involved in consumer price Index? To explain the problems involved in calculating CPI we consider MP3 players. If you measure the average price of MP3 pl

Nations total income, If you take nations total income and subtract out pri...

If you take nations total income and subtract out private consumption government consumption what you will find?

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