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

Trends of trade shares, Trends of Trade Shares: India's share in total...

Trends of Trade Shares: India's share in total world exports in 1950 was 1.85 percent and the share in total world imports was 1.7 1 percent. The share of both exports and imp

Aplia Chapter Questions, Need answers for the questions (Chapters 10, 11 & ...

Need answers for the questions (Chapters 10, 11 & 12) Please see attached questions. Thanks!

Effect of a large federal deficit on interest rates, Explain, using the bes...

Explain, using the best framework you can think of (based on our class discussion), the effect of a large federal deficit on interest rates.

New screening methods adopted price do you exect prevail, You are the manag...

You are the manager of an organization in America that distributes blood to hospitals in all 50 states and the District of Columbia. A recent report indicates that nearly 50 Americ

Help, Given the following data for StewieLand, a closed economy in 2012… r...

Given the following data for StewieLand, a closed economy in 2012… real gdp = $20,000 public savings = $1,000 consumption = $11,000 tax revenue collected = $4,000 Solve for

Assumed in constructing a typical production, Which of the following is ass...

Which of the following is assumed in constructing a typical production possibilities curve? a. the economy is engaging in international trade. b. production technology is fix

When patulin molds can occur, Occurrence: It is found in a range of foods b...

Occurrence: It is found in a range of foods based on fruits. Presence of patulin in fruit juice is a indication that the juice was extracted from poor quality fruit which is undesi

Distinction between charasteristics of private and public, Use the distinct...

Use the distinction between the charasteristics of private and public goods to determine whether the following should be produced through the market system or provided by the gover

EXCHANGE RATES, WHAT IS THE BEST EXCHANGE RATE TYPE

WHAT IS THE BEST EXCHANGE RATE TYPE

Explain friis equation- affective aperture, In your own words, explain the ...

In your own words, explain the following: a) affective aperture, b) array factor, c) Friis equation, d) Antenna H-plane and E-plane, e) radiation resistance

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