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

Gross domestic savings, Gross Domestic Savings  Income not devoted to ...

Gross Domestic Savings  Income not devoted to current consumption is saved. In an economy during a particular year some units will consume less than their income while some wi

Internatinal trade, how can a country maintain equilibrium GDP with foreign...

how can a country maintain equilibrium GDP with foreign trade?

Find real interest rate and nominal interest rate, Assume that an economy's...

Assume that an economy's GDP Y=5000. Also assume that the government runs a deficit where tax revenue T=1000 and government expendituresG= 1500. The consumption function is represe

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

Increase demand for diamonds and in supply of diamonds, Suppose there is a ...

Suppose there is a simultaneous increase in the demand for diamonds and increase in the supply of diamonds. Which of the following will occur as a result of these simultaneous even

#GDP, There are three firms in an economy: A, B, and C. Firm A buys $450 wo...

There are three firms in an economy: A, B, and C. Firm A buys $450 worth of goods from firm B and $260 worth of goods from firm C, and produces 260 units of output, which it sells

Choice amonga lottery, You have a choice between a lottery lump sum payout ...

You have a choice between a lottery lump sum payout of $10,000,000 today or a series of 25 annual annunity payments the first payment will be one year from today ad a discount rate

Utility function that is consistent, Suppose that midterm grades determine ...

Suppose that midterm grades determine your nal course grade putting the Midterm 1 grade on the horizontal axis and the Midterm 2 grade on the vertical axis, draw indifference curve

Illustrate an example of consumer price index, Illustrate an example of Con...

Illustrate an example of Consumer Price Index For instance, if we spend twice as much on apples as on pears, apples would have twice the weight in basket. The precise details o

Equilibrium price and quantity of hybrid vehicles, Suppose gasoline and hyb...

Suppose gasoline and hybrid vehicles are substitutes. Draw a graph indicating what will happen in the market for hybrid vehicles if the price of gasoline increases. Be sure to labe

Write Your Message!

Captcha
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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd