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

Balance of payments, Balance of Payments   All countries have economic t...

Balance of Payments   All countries have economic transactions with other countries. These consist of import and export of goods and services, official and private gifts and don

Alternatives type of production, Production Alternatives Type of production...

Production Alternatives Type of production A B C D E Automobiles 0 2 4 6 8 Forklifts 30 27 21 12 0 If the economy is at point C, what is the (opportunity) cost of 2 more automobile

Calculate the npv for discount rates, Shambles, a large toy retailer, are l...

Shambles, a large toy retailer, are looking at bringing out a new range of soft toys. The range under consideration is "Mythical Beasts."  The "Mythical Beasts" range will cost £50

Government imposes a price floor, Consider the above table. Assuming the go...

Consider the above table. Assuming the government imposes a price floor on garbanzo beans of $8, what would be the likely result? a. no change, equilibrium would prevail b. T

Equal payment amortization schedule, Assume a 5 year equal payment amortiza...

Assume a 5 year equal payment amortization schedule with an annual interest rate of 12% and annual payments. If the beginning is 8,000 then the first interest payment will be how l

Determine about the expected inflation, Determine about the Expected inflat...

Determine about the Expected inflation Note that it is changes in prices during 2008 which matter for the high real interest rate (the time period when your deposit is earning

Wall street journal article, 1. An innovator, who creates new products and ...

1. An innovator, who creates new products and new ways to get business done, is referred to as: Select one: a. A manager. b. A capitalist. c. An entrepreneur. d. A creditor. 2

Economics, n 2013, approximately 58 percent of the adult population (245 mi...

n 2013, approximately 58 percent of the adult population (245 million) was employed, the lowest employment rate in 20 years. If the employment rate increased to the prerecession l

Marginal propensity to save, Marginal Propensity to save  (MPS)  is the r...

Marginal Propensity to save  (MPS)  is the ratio of change in total saving to change in total disposable income. Symbolically,     MPS = ?S/?Y For example, total

Exchange rate, What is exchange.rate?

What is exchange.rate?

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