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

Credit multiplier, what is credit multiplir and how does it work

what is credit multiplir and how does it work

Give brief introduction about interest rate, Give brief Introduction about ...

Give brief Introduction about Interest rate When you borrow money, you usually have to pay a fee for the loan. This fee is often called interest, particularly if the fee is pr

Investment banks underwrite ipos, When investment banks underwrite IPOs, th...

When investment banks underwrite IPOs, they are typically sell stock for 5-10 percent more than they pay for it. When they underwrite stock for companies that are already public, t

Explain growth theory, Q. Explain Growth theory? The purpose of this to...

Q. Explain Growth theory? The purpose of this topic is to try to explain growth in GDP. The models in this topic are very different from the rest of the models as they use only

The structural deficit, The structural deficit: A. falls as the economy exp...

The structural deficit: A. falls as the economy expands and rises when it contracts. B. changes as actual income changes regardless of potential income. C. does not change when inc

Demand for money - theories, The amount of wealth that households and busin...

The amount of wealth that households and business desire to hold in the form of money balances is called the 'demand for money'. Individuals and firms have at their command only

Fiscal stimulas, Suppose the consumption function is C = $500 billion + 0.5...

Suppose the consumption function is C = $500 billion + 0.55Y and the government wants to stimulate the economy. By how much will aggregate demand at current prices shift initially

Money supply in the mauritian financial sytem, Question 1: Discuss the ...

Question 1: Discuss the alternative theories of the demand for money and their relevance in specifying a demand for money function for a small island developing economy like

What is gross national income per capita, What is gross national income per...

What is gross national income per capita The absolute difference in gross national income per capita is 29,828 PPP$ that means UK income per capita is approximately 860% higher

Government can finance its budget deficit, A government can finance its bud...

A government can finance its budget deficit by doing all of the following except: A. borrowing from its central bank. B. printing money. C. selling bonds. D. buying bonds.

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