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

Expenditure methods, Expenditure method is also called Flow-of-Expenditure ...

Expenditure method is also called Flow-of-Expenditure method, consumption and investment method, income Disposal method, etc. Expenditure method measures the final expenditure

Appropriate experimental design, An ecologist has been reading the literatu...

An ecologist has been reading the literature on the subject of factors affecting growth and metamorphosis of tadpoles in ponds. Some frog species (e.g. Hyla gratiosa) reproduce in

Marginal tax rates imposed on individuals, Compared with the situation befo...

Compared with the situation before 1981, the marginal tax rates imposed on individuals and families with high incomes are now lower. What was the top marginal personal income tax r

Var modelling, However, these results should be approached with due caution...

However, these results should be approached with due caution. The limitations and problems associated with VAR modelling have been outlined in this paper, therefore these observati

How are the qualitative aspects of development measured, How are the qualit...

How are the qualitative aspects of development measured? Development includes the evolution of more safe, stable, participatory and only societies. This involves capacity deve

Circular flow model and the supply and demand curves, Write a one paragraph...

Write a one paragraph summary and three paragraphs that take the information in the article and relate it specifically to the circular flow model and the supply and demand curves.

Village panchyat project on agriculture, What are the topic in village panc...

What are the topic in village panchyat project on agriculture

Calculate market equilibrium price and quantity, We will continue with the ...

We will continue with the familiar demand curve homework the previous section Let the market demand for goods be with a linear curve:    (p =A q D /10), where it is known

MR, Question 1: Consider a two-period, two-person pure exchange economy. Ut...

Question 1: Consider a two-period, two-person pure exchange economy. Utility functions and endowments are given as follows. u1(x0; x1) = (x0x1)2 and e1 = (18; 4) u2(x0; x1) = ln x0

the effect of on reserves and the monetary base, Many developing countries...

Many developing countries have suffered banking crises in which depositors lost part or all of their deposits (in some countries there is no deposit insurance). This type of crisis

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd