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

Strategy for p1 in this game, P2 and P3 play with a penny. P1 picks between...

P2 and P3 play with a penny. P1 picks between same (S) and different (D). After observing P1's choice, P2 and P3 get to picked Simultaneously independently either head (H) and tail

Health care cost of capital, In 2004, Olentangy health care cost of capital...

In 2004, Olentangy health care cost of capital was 6%. Its investments on a historical cost valuation basis are $80,000; on a replacement cost basis are $100,000. And on a current

Equilibrium, If the marginal disutility of labor increases, the equilibrium...

If the marginal disutility of labor increases, the equilibrium real wage increases and the equilibrium quantity of labor goes up. True or false?

Estimate efficient outcome, The city of Johnstown decides to build a new st...

The city of Johnstown decides to build a new stadium to attract a basketball team from the city of Rosendale.  One economic advisor suggests that the stadium should be fi

Find out the marginal utility-demand curve, 1.  What is law of diminishing ...

1.  What is law of diminishing marginal utility? 2.  Find out the marginal utility for the following schedule of consuming pizza Pizza consumed 0

Intermediate macroeconomics, An economy's IS and LM curves are given by the...

An economy's IS and LM curves are given by the following equations: with Y indicating output (income), c indicating the marginal propensity to consume, I investment, G gove

For high school graduates increase the wage, Arrow up or down: An increase ...

Arrow up or down: An increase in the wage for high school graduates __________ the opportunity cost of college. A) arrow up B) Arrow down

Real Gdp, What do I calculate with quantity of each good produced, to find ...

What do I calculate with quantity of each good produced, to find the Real GDP?

Analysis, provide data and analysis for the real GDP (as total and per capi...

provide data and analysis for the real GDP (as total and per capita) and its growth rate then draw a graph and identify the periods of the Malaysia’s business cycle 2007 -2011

Balance of payments, state and explain two factors that cause the shifts in...

state and explain two factors that cause the shifts in the balance of payments curve.

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