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

Neo-classical synthesis, Neo-classical synthesis is a synthesis of classica...

Neo-classical synthesis is a synthesis of classical model and Keynesian model. In brief, it states that Keynesian model is correct in the short run whereas the classical analysis i

INFLATION-UNEEMPLOYMENT TRADE-OFF UNDER ADAPTIVE EEX, Explain how inflation...

Explain how inflation unemployment trade-off is not feasible under adaptive expectation.MEC002

Exogenous variable change, Market questions come in two types: Type 1: y...

Market questions come in two types: Type 1: you are given the exogenous variable change and you must shift the correct curve in the right direction and then determine the new pr

Subsequent withdrawals increase, What is the amount of five equal annual de...

What is the amount of five equal annual deposits that can provide five annual withdrawals, where a first withdrawal of $1500 is made at the end of year six and subsequent withdrawa

The monetary system.., bank A has a leverage ratio of 10 while bank B has a...

bank A has a leverage ratio of 10 while bank B has a leverage ratio of 20 similar losses on bank loans at the two banks cause the value of their assets to fall by 7 percent. Which

Fiscal policy , what is GDP

what is GDP

The growth of per-capita gdp in the period immediately, An economy has the ...

An economy has the following parameter values: s ?=.3,d ?=.1,A ?=1,andL ?=100.2 The economy begins at steady state but at some point is attacked by Godzilla, destroying 70% of the

What is consumption?, "Consumption" is an old name for tuberculosis (TB) th...

"Consumption" is an old name for tuberculosis (TB) that explains how the illness wastes away or consumes its victims. TB is "an ancient enemy" that has plagued human kind for more

Intergroup conflict and intergroup competition, Discuss whether intergroup ...

Discuss whether intergroup conflict and intergroup competition are the same or different. Provide examples to support your position. What strategies can a leader use to ensure that

What is privatization?, Privatization is the move of ownership from the pub...

Privatization is the move of ownership from the public sector (government) to the private sector (business).

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