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

Why does yield on UK gov bond go up when stock markets down?, Doesn''t mone...

Doesn''t money move out of stock markets into bond? If more people buy bonds does this not push bond prices up and yields down? My question is about this quote from the Gardian tod

Describe the macroeconomic variables, Q. Describe the macroeconomic variabl...

Q. Describe the macroeconomic variables? In this section we have summarizes all the macroeconomic variables. The first column denotes the symbol we use for variable whereas col

Describe a hypothetical ideal, Design a hypothetical ideal randomized contr...

Design a hypothetical ideal randomized controlled experiment to study the effects on highway traffic deaths of wearing seat belts. Suggest some impediments to implementing this exp

Four big macroeconomic issues and their inter-relationships, THE FOUR BIG M...

THE FOUR BIG MACROECONOMIC ISSUES AND THEIR INTER-RELATIONSHIPS  1. Link between growth/development and the various factors of production of the commodities: Before we mov

Good to peanut butter, Bread is a related good to peanut butter: show on th...

Bread is a related good to peanut butter: show on the graph of the market for peanut butter, the impact on the price and quantity from an increase in the price of bread.

Find the optimal amounts and solve the dual problem, After some consultants...

After some consultants point out that the Acme Toy Company has two bottlenecks in its production of xylophones and yo-yos. The first is a critical grinding machine that only has 9

Partial equilibrium and surplus, The city of Cabernet is very famous for it...

The city of Cabernet is very famous for its production of wine. The inhabitants of the city have an aggregate demand for wine that can be described as follows: D(p) = Q d =150-

Illustrates about the terms of elasticity, Illustrates about the terms of e...

Illustrates about the terms of elasticity? • Definition of elasticity a. Price elasticity of demand b. Income elasticity of demand and c. Price elasticity of supply

Explain the classical motivation, Q. Explain the classical motivation? ...

Q. Explain the classical motivation? The classical motivation: Consumers want to smooth their consumption over time. In good times, consumers know that it is a temporary stat

Determine the exchange rate, Determine the exchange rate When a currenc...

Determine the exchange rate When a currency is freely floating, the central bank doesn't have to set monetary policy to alter the external value of the currency unless instruct

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