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

What are the crisis affect the economies of country, What are the crisis af...

What are the crisis affect the economies This crisis would affect the UK in 3 major ways. First the UK would be unable to sell its exports to these economies if they are hea

WHAT ECONOMICS IS ABOUT, ALL SELLERS MAY BE TEMPTED TO RAISE THE PRICE OF W...

ALL SELLERS MAY BE TEMPTED TO RAISE THE PRICE OF WHAT THEY SELL, BUT A NEGATIVE UNINTENDED EFFECT OF RAISING THE PRIE COULD BE______ IN UNITS SOLD LARGE ENOUGH TO _____THEIR TOTAL

Farmer grows wheat and sells, A farmer grows wheat and sells it to a miller...

A farmer grows wheat and sells it to a miller for $1; the miller turns the wheat into flour and sells it to a baker for $3; the baker uses the flour to make bread and sells the bre

Public sector, Are there any current subsidy or welfare issues that are bei...

Are there any current subsidy or welfare issues that are being discussed or addressed in parliament or in municipalities

Perfect competition and monoploy, 1. # of sellers, # of buyers 2. entry and...

1. # of sellers, # of buyers 2. entry and exit conditions 3. product characteristics 4. short run P&Q determinations and the resulting 3 possibilities for excess profit (graphs ar

Assignment, Ask question #MinDerive the isoprofit function ?imum 100 words...

Ask question #MinDerive the isoprofit function ?imum 100 words accepted#

Increase in income, How does an increase in income affect a consumer's budg...

How does an increase in income affect a consumer's budget line and their total utility?

Quantity equation, Quantity Equation-Has this theory worked? Why or why not...

Quantity Equation-Has this theory worked? Why or why not?

Major tenets of kant''s ethical theory, Please answer the question below re...

Please answer the question below relating it to BUSINESS in today's world. What are the major tenents of the ethical theory of Utilitarianism, and how would this theory be appli

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