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

Neoclassical view, Roles of government in controlling market forces under n...

Roles of government in controlling market forces under neoclassical view

Example of fixed investment-accounting system, Example of Fixed Investment-...

Example of Fixed Investment-ACCOUNTING SYSTEM   Consider again the economy in example III. An inventor offers to construct some machines for each of the three companies which wo

Average price of a textbook, The demand for textbooks is Q=200-P+25U-50Pbee...

The demand for textbooks is Q=200-P+25U-50Pbeer. Assume that the unemployment rate U is 8 and the price of beer P beer is $2. When the average price of a textbook is P=$100, the el

Apparent paradox, Explain the apparent paradox that saving money is good fo...

Explain the apparent paradox that saving money is good for the individual but might be bad for the economy. Considering the circular flow diagram how is this relevant to public pol

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

Determine about the expected inflation, Determine about the Expected inflat...

Determine about the Expected inflation Note that it is changes in prices during 2008 which matter for the high real interest rate (the time period when your deposit is earning

Gross domestic savings, Gross Domestic Savings  Income not devoted to c...

Gross Domestic Savings  Income not devoted to current consumption is saved. In an economy during a particular year some units will consume less than their income while some wil

What is the price elasticity of demand, What is the price elasticity of dem...

What is the price elasticity of demand? It is the Defining and Measuring Elasticity. The price elasticity of demand is the ratio of the percent modification into the quantit

Quality of health care, Explain how changes in the quality of health care w...

Explain how changes in the quality of health care will influence the demand for care.

Long-run framework, In the long-run framework, budget surpluses: A. should ...

In the long-run framework, budget surpluses: A. should be run on a permanent basis since they boost saving and investment and stimulate economic growth. B. should be run whenever o

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