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

Total public debt outstanding, What was the total public debt outstanding o...

What was the total public debt outstanding on the same day in 2000? What was it in 2008?

Marginal approach to profit maximization, The marginal approach to profit m...

The marginal approach to profit maximization means that a firm should produce until a. marginal revenue equals zero b. marginal revenue equals marginal costs c. marginal cost becom

Geometric gradient series, Determine the present worth of a geometric gradi...

Determine the present worth of a geometric gradient series with a cash flow of $50,000 in year 1 and increases of 6% each year through year 8. The interest rate is 10% per year.

IS-LM, THE PRODUCT MARKET Z=C+I+G C=a+bYd I=Io+I1Y-I2i Equilibrium conditio...

THE PRODUCT MARKET Z=C+I+G C=a+bYd I=Io+I1Y-I2i Equilibrium condition, Y=Z, where Y represents output and Z is aggregate spending. THE FINANCIAL MARKET Md=MT+Mp MT=MTo+MT1Y Mp=Mpo

New equilibrium price also quantity, Take a look at the sugar market: US d...

Take a look at the sugar market: US demand: Q=60-2/3 P US domestic supply: Q=P Also, the US could import any quantity from world producers at (US$) 10/cents per lb a) In a sc

International trade, factor contribute long run trend of term of trade in d...

factor contribute long run trend of term of trade in developing country

FEDERAL BUDGET, HOW TO GET THE REVENUES AND EXPENDITURES AS A PERCENT OF GD...

HOW TO GET THE REVENUES AND EXPENDITURES AS A PERCENT OF GDP?

Economic system: protectionism and free trade, why is international trade i...

why is international trade important for South Africa?

Economics, Ask question #Minimum 100 words accepted I need help with homew...

Ask question #Minimum 100 words accepted I need help with homewok

Unemployment, critically analyse the ways at which the govement of zimbabwe...

critically analyse the ways at which the govement of zimbabwe has put in place to address unequal employment opportunitiesbetween men andwomen

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