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

Determine the rate of economic growth , Determine the rate of economic grow...

Determine the rate of economic growth in UK With regard to economic growth, a good starting point for evaluation and analysis is the fact that rate of economic growth in UK has

Senator is considering tax, You are an assistant to a senator who chairs an...

You are an assistant to a senator who chairs an ad hoc committee on reforming taxes on telecommunication services. Based on your research, AT&T has spent over $15 million on relate

Question, The greater the number of different goods available in an economy...

The greater the number of different goods available in an economy, Question 1 options: a) the less likely it is that a double coincidence of wants will exist, and the less likel

Adam smith living in today''s economic climate, Imagine Adam Smith living i...

Imagine Adam Smith living in today's economic climate. Describe what current economic issues about which he might be most concerned with and state why?

Objective of empirically analyses, The aim of this paper is to observe and ...

The aim of this paper is to observe and interpret the correlations between oil price changes, and changes to key macroeconomic indicators. From this we will be able to observe if t

Determine the cross elasticity demand for margarine, Question 1: (a) D...

Question 1: (a) Distinguish between the short run and long run profits of a competitive firm by using graphical representations. (b) Compare and contrast between perfect c

Unit root testing, Firstly, it is imperative that I investigate the stochas...

Firstly, it is imperative that I investigate the stochastic properties of each series considered in the model prior to estimating the effects of oil price shocks on macroeconomic a

Determination of factor prices by supply and demand, DETERMINATION OF FACTO...

DETERMINATION OF FACTOR PRICES BY SUPPLY AND DEMAND   Let us suppose that perfect competition prevails in the goods and the factor markets. In such a situation let us see how th

Illustrate the overview and importance of macroeconomics, Illustrate the ov...

Illustrate the overview and importance of macroeconomics? After familiar with this illustration, able to know: a. An overview of macroeconomics is the study about the econom

Explain the short- and long-run consequences and rba, Question 1 What ...

Question 1 What would be the effect of an increase in Australia's net exports on the aggregate demand curve? Would an increase in net exports affect the RBA's monetary policy

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd