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

Introduce about the open-economy macroeconomics shortly, Introduce about th...

Introduce about the open-economy macroeconomics shortly. The Open Economy: a. One of the major concerns introduced through open-economy macroeconomics is the exchange rat

Change in nominal gdp, By given scenario answer the following questions. ...

By given scenario answer the following questions. 1. What phase of the business cycle is the economy? 2. If inflation increased by 5% during the same period, what was the cha

National income, farmer grows a bushel of wheat & sells it to a miller for ...

farmer grows a bushel of wheat & sells it to a miller for Rs. 1.00. The miller turns the wheat into flour & then sells the flour to a baker for RS. 3.00. The baker uses the flour

Ordinal theory - indifference curve approach, ORDINAL THEORY: INDIFFER...

ORDINAL THEORY: INDIFFERENCE CURVE APPROACH In indifference curve approach consumer is assumed to be rational, so that consumer's objective is to maximise her utility by choos

State the monetary base and the supply of money, State the Monetary base an...

State the Monetary base and the supply of money - central bank It is not possible for the central bank to print and distribute money - that would increase their debt without i

Considering two types of water heaters, A company is considering two types ...

A company is considering two types of water heaters. The associated costs are shown below. The estimated annual cost of operation for oil heaters equals 365 x 41045/EF x Fuel Cost

Adf test, Table Summary of results from the ADF test ...

Table Summary of results from the ADF test Test Number Oil GDP Interest rate Inflation Unemployment Exc

The goals of macroeconomic policy, THE GOALS OF MACROECONOMIC POLICY  E...

THE GOALS OF MACROECONOMIC POLICY  Economic analysis attempts to explain why problems arise in the economy and how these problems can be dealt with. It is, therefore, indispens

Artificial intelligence and neural networks, Problem >> Explore the rel...

Problem >> Explore the relationship between Artificial intelligence and Neural networks. The systems which use this type of intelligence are known as artificial intelligent

Aggregate demand in the is-lm model, Q. Aggregate demand in the IS-LM model...

Q. Aggregate demand in the IS-LM model? Aggregate demand Aggregate demand depends on Y and R in the IS-LM model As investments depend on R

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