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

Show the example on IS-curve, Q. Show the example on IS-curve? Fi...

Q. Show the example on IS-curve? Figure We can explain this argument with the above figure.  1. Start by identifying R 1 and R 2 in lower graph.  2. Draw aggr

Money, nature, development and function of money.

nature, development and function of money.

Equilibrium income, Equilibrium Income  The next step is to use the agg...

Equilibrium Income  The next step is to use the aggregate demand function, AD, to determine the equilibrium level of income and output. This is done in figure . Recall that the

Explain the basic characteristics of IS-curve, Q. Explain the basic charact...

Q. Explain the basic characteristics of IS-curve? IS-LM diagram IS-curve The IS curve shows all combinations of R and Y where the goods marketis in

Components of gdp, Write a 4-5 page paper, double-spaced, Arial 12pt font, ...

Write a 4-5 page paper, double-spaced, Arial 12pt font, 1 inch margins all around (top, bottom, left, and right) that addresses the following news event summarized below In a to

Income and expedenture, Illustrate the circular flow of income and expendit...

Illustrate the circular flow of income and expenditure according to their models ( classical and keynesian)

Demand and supply, Suppose the demand and supply for milk is described by t...

Suppose the demand and supply for milk is described by the following equations Qd=600-100P; Qs=-150+150P Where P is the price in rand, Qd is the quantity demanded in millions of l

Payment toward its bank loan, During the year, Calabash Clinic made a $50,0...

During the year, Calabash Clinic made a $50,000 cash payment toward its bank loan which it had previously recorded; $40,000 was for principal, and $10,000 was to pay the full amoun

Marginal propensity to save, Marginal Propensity to save  (MPS)  is the r...

Marginal Propensity to save  (MPS)  is the ratio of change in total saving to change in total disposable income. Symbolically,     MPS = ?S/?Y For example, total

Describes the metzler paradox, Which of the following statements BEST descr...

Which of the following statements BEST describes the Metzler paradox? a. Tariffs improve the imposing nation's terms of trade. b. Export subsidies hinder the imposing nation's term

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