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

AGGREGATE SUPPLY CURVE, The production function is Q=3LK

The production function is Q=3LK

Functions of commercial bank - buying government securities, Buying ...

Buying government securities: When a commercial bank buys government bonds, the effect is substantially the same as that of lending - new money is created. To

Unemployment rate for each country, The following Table B presents the 2010...

The following Table B presents the 2010 population, employment, and unemployment data among working age persons for several countries. a. Calculate the number of people in the lab

Millions of individual microeconomic decisions, Macroeconomics deals with t...

Macroeconomics deals with the economy as a whole. The millions of individual microeconomic decisions of the people, businesses, and government in their totality represent a nation'

Sustainability of current account deficit, Sustainability of Current Accoun...

Sustainability of Current Account Deficit: Theoretically speaking, a current account deficit can be sustained as long as the growth rate of national income exceeds the rate of

Increase in its expenditures by selling bonds to the public, If a governmen...

If a government finances an increase in its expenditures by selling bonds to the public, then the aggregate demand curve will: A. not shift. B. shift out more if crowding out occur

Draw the demand curve, The total demand (marginal benefit) curve for visiti...

The total demand (marginal benefit) curve for visiting the Great Barrier Reef is as follows: Price = 5000+100*Fish Biomass (tons per square mile) -10*Number of Trips. a. Does th

What is modifications to a polymer, What are three modifications to a polym...

What are three modifications to a polymer that can make it transparent? How will these modifications affect the mechanical properties of the polymer?

Decay toothbrush and decay fighter toothbrush, The Stop decay company sells...

The Stop decay company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decay fighter, redu

Mean and variance, Compute the mean and variance of the following discrete ...

Compute the mean and variance of the following discrete probability distribution. Where X=2, and P(x)=.5. Where X=8 and P(X) .3. Where X=10 and P(X) =.2.

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