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

Haberler''s theory of opportunity cost, discuss Haberler''s opportunity c...

discuss Haberler''s opportunity cost doctrine.

Circular flow of income, Discuss how income flows in governed economy, frug...

Discuss how income flows in governed economy, frugal economy, spend their economy.

Estimate the interest rate and minimize risk, 1. In December 1979 it was po...

1. In December 1979 it was possible to buy a January 1980 contract in gold at the New York Commodity Exchange for $487.50 per ounce and sell an October 1981 contract for $614.80 on

Explain the concept of elasticity, Explain the concept of elasticity and de...

Explain the concept of elasticity and describe why the supply of petrol in the short run is relatively inelastic.

International trade, how can a country maintain equilibrium GDP with foreig...

how can a country maintain equilibrium GDP with foreign trade?

Expenditures and the effects of fiscal policy, Expenditures and the Effects...

Expenditures and the Effects of Fiscal Policy are stated as follows: Having finished the discussion on the tax policy and taxation, now let’s us focus on expenditures and the e

Exam, real gdp measures?

real gdp measures?

Unemployment classification, Unemployment classification Economists som...

Unemployment classification Economists sometimes differentiate between different types of unemployment. There are many type of ways of classifying unemployment however the foll

The effect of market for milk, 1a. Show on the market for milk the effect o...

1a. Show on the market for milk the effect of the introduction of BGH (bovine growth hormone). 1b. Show on the market for cheese the impact of what happened in the milk market.

Gdp price index, Determine the GDP price index for 1984, using 2005 as the ...

Determine the GDP price index for 1984, using 2005 as the base year

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