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

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)

Break-even level of income, Assume that when an economy has a GDP of $500, ...

Assume that when an economy has a GDP of $500, Consumption is $550. The MPC is .75. Investment is 25. Begin the problem by setting up an Income/Consumption Schedule like the one on

Accounting system-example iii, ACCOUNTING SYSTEM-EXAMPLE III  Now suppo...

ACCOUNTING SYSTEM-EXAMPLE III  Now suppose the Jam Co. manufactures some herbal chemicals and flavors which it sells partly to Extracts Co., partly to Bottling Co., some are co

Demand forecasting, What are the uses of time series data?

What are the uses of time series data?

Consumption function of an economy, The consumption function of an economy ...

The consumption function of an economy is given by c = 200+0.75(y-t) And the investment function by I = 200 = - 25r. Government purchases G and taxes Τ are both 100.  T

Quantity of twinkies demanded increases, Suppose the price of Twinkies decr...

Suppose the price of Twinkies decreases from $1.45 to $1.25 and, as a result, the quantity of Twinkies demanded increases from 2,000 to 2,200. Using the midpoint method, the price

Business cycletories, list of all theories of business cycle theories

list of all theories of business cycle theories

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

What is real gross domestic product, What is Real GDP To be able to ma...

What is Real GDP To be able to make reasonable comparisons of GDP over time, we must adjust for inflation. For instance, if prices are doubled over 1 year then GDP would doubl

Show the investment function in the IS-LM model, Q. Show the investment fun...

Q. Show the investment function in the IS-LM model? The investment function in the IS-LM model Investment was an exogenous variable in cross model owing to the fact that

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