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

Explain between perfect competition and monopoly market, "No point is bette...

"No point is better accepted than the fact that the monopoly price is higher and the output smaller than what is socially ideal. The public is the victim." (a) Explain between

Advantages of leaving resource allocation, What are the advantages of leavi...

What are the advantages of leaving resource allocation to price allocation? Ans) The 5 benefits are Neutral, Flexible, Freedom of choice, No administrative cost and lastly Dimin

Diversify the business of firm a, The managers of Firm A recommend that Fir...

The managers of Firm A recommend that Firm A purchase Firm B because the purchase will diversify the business of Firm A. Diversification of risks is a desirable strategy for indivi

Determine about the interest rates, Determine about the interest rates ...

Determine about the interest rates The interest rate may be fixed or floating. If it is fixed, you will pay the same percentage for the entire duration of the loan. With a floa

State major fiscal objective of chancellor george osborne, Major fiscal obj...

Major fiscal objective of Chancellor George Osborne The major fiscal objective of Chancellor George Osborne when coming to office in May 2010 was to remove the UK's structural

Aggregate demand in the is-lm model, Q. Aggregate demand in the IS-LM model...

Q. Aggregate demand in the IS-LM model? Aggregate demand Aggregate demand depends on Y and R in the IS-LM model As investments depend on R

Calculate the numbers, Use the information below to calculate the numbers i...

Use the information below to calculate the numbers instead of "?" marks in the Table. Show and explain all your calculations?

What is monetary base, What is Monetary base The monetary base is defin...

What is Monetary base The monetary base is defined as the total value of all currency (banknotes and coins) outside the central bank and commercial banks' (net) reserves with t

Energy supply, What happens to the extraction path if the choke price falls...

What happens to the extraction path if the choke price falls

Process to control inflation rate, Process to control inflation rate Th...

Process to control inflation rate The belief that control of inflation must be the primary economic objective of government can be traced back to neo-liberal revolution that st

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