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

Aggregate supply in as-ad model, Q. Aggregate supply in AS-AD model? In...

Q. Aggregate supply in AS-AD model? In order to figure out all the variables in AS-AD model, we need one more equilibrium condition so that we can identify a unique point on AD

Introducing the foreign trade sector, Introducing the Foreign Trade Sector ...

Introducing the Foreign Trade Sector  Most economies in the real world are open economies. They engage in trade with other economies. Goods and services are exported and import

Determine the exchange rate, Determine the exchange rate When a currenc...

Determine the exchange rate When a currency is freely floating, the central bank doesn't have to set monetary policy to alter the external value of the currency unless instruct

Considering two types of water heaters, A company is considering two types ...

A company is considering two types of water heaters. The associated costs are shown below. The estimated annual cost of operation for oil heaters equals 365 x 41045/EF x Fuel Cost

Demand for green and chai tea, Given the data in the table below, provide a...

Given the data in the table below, provide an estimate of the arc price elasticity of demand for green and chai tea. Chai tea Price $/lb. 10.4, 10.5 Chai tea Quantity mil lbs. 75

Circular flow of income in an open economy, explain the effects of various ...

explain the effects of various injections and withdrawals and show the equilibrium in the circular flow

Production required to produce rice, In the heckscherohlin model, a decreas...

In the heckscherohlin model, a decrease in the factors of production required to produce rice and beans would: a. shift the production possibilities frontier for rice and beans

#title., it has been argued that economic development of developing countri...

it has been argued that economic development of developing countries has been held back by a persistent fall in the terms of trade of developing countries over the long run

Define the interpreting the price elasticity of demand, Define the interpre...

Define the interpreting the price elasticity of demand. Interpreting the Price Elasticity of Demand: Demand is: a. Elastic when the price elasticity of demand is greater

As-ad model, full overview as-ad model

full overview as-ad model

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