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

Find out reserve-deposit ratio and currency-deposit ratio , 1.  Assume the ...

1.  Assume the required reserve-deposit ratio is 12%, and the currency-deposit ratio is 38%. How much would money supply change if the Fed made open market purchases of $100 millio

Single nonprofit provider, For a single nonprofit provider, describe an out...

For a single nonprofit provider, describe an output-maximizing model to predict supplier behavior?

Aggregate supply in the short run, Aggregate Supply in the Short Run P...

Aggregate Supply in the Short Run Production takes place in business sector on the basis of an expected price for its output. However, costs are incurred in anticipation of sa

Develop the mrp planning schedule, Product A is an end item and is made fro...

Product A is an end item and is made from two units of B and four of C. B is made of three units of D and two of E. C is made of two units of F and two of E. A has a lead time o

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?

Trading, America can produce 100 shirts or 20 computers and China can produ...

America can produce 100 shirts or 20 computers and China can produce 100 shirts or 10 computers. With trade, who exports shirts? Which country benefits from the trade?

Trade, What is the difference between heckscher_olin theory and comparative...

What is the difference between heckscher_olin theory and comparative theory

Explain the difference among saving and investment, Explain the difference ...

Explain the difference among saving and investment as explained by macroeconomists. Which of the following situations represent investment or saving? Explain: a) You u

Define do you mean by gdp growth, Q. Define do you mean by GDP growth? ...

Q. Define do you mean by GDP growth? By (nominal) GDP-growth we mean the percentage change in (nominal) GDP over a specific period of time. Real GDP growth is defined as percen

What are the social economic and non economic factors, What are the social ...

What are the social economic and non economic factors? Development is also a procedure involving change in some social economic and non economic factors comprising: • Econom

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