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

Crowding out is associated, Crowding out is associated with: A. an increase...

Crowding out is associated with: A. an increase in business investment resulting from an increase in government borrowing and higher interest rates. B. an increase in private savin

Proportion of students entering a university, Historically, the proportion ...

Historically, the proportion of students entering a university who finished in 4 years or less was 64%. To test whether this proportion has decreased, 122 students were examined an

State major fiscal objective of chancellor george osborne, Major fiscal obj...

Major fiscal objective of Chancellor George Osborne The major fiscal objective of Chancellor George Osborne when coming to office in May 2010 was to remove the UK's structural

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

Macroeconomics, Suppose that several months of data showed the CPI increasi...

Suppose that several months of data showed the CPI increasing at a 4.5% annual rate due largely to increases in the price of energy and food related commodities following several y

Equilibrium price and quantity, Use the following general linear demand rel...

Use the following general linear demand relation: Qd = 680 - 9P + 0.006M - 4PR where M is income and PR is the price of a related good, R. If M = $15,000 and PR = $20 and the suppl

determine the total far-field, Four Hertzian dipoles (oriented in the z-di...

Four Hertzian dipoles (oriented in the z-dir.) are placed on an x-y plane with spacing (d=λ o /2) between them as shown in figure. a) Derive the array factor for this setup b

Towards a national accounting system, TOWARDS A NATIONAL ACCOUNTING SYSTEM ...

TOWARDS A NATIONAL ACCOUNTING SYSTEM  A real life modern economy is a very complex structure consisting of millions of units engaged in a variety of economic transactions. Ther

Supply & Demand Graph, Ok, so the supply curve for goal in the U.S. is perf...

Ok, so the supply curve for goal in the U.S. is perfectly elastic, while the demand curve has the usual shape. In 2011, the U.S. used 1,003 million tons of coal at an average price

Discuss about real verses nominal gross domestic product, Discuss about rea...

Discuss about real verses nominal gross domestic product. Real verses Nominal Gross Domestic Product: Real Gross Domestic Product: the value of the concluding goods and se

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