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

Solve for all of these questions., Christina Romer and Jared Bernstein in "...

Christina Romer and Jared Bernstein in "The Job Impact of the American Recovery and Reinvestment Plan" calibrated the impact of the proposed expansionary fiscal policy (we know it

Market Demand., Ask question #The market demand for brand X has been estima...

Ask question #The market demand for brand X has been estimated as Qx=1500-3Px-0.05I-2.5Py+7.5Pz Where Px is the price of brand X, I is per-capita income, Py IS the price of brand Y

Estimate demand or supply-equilibrium price, Suppose that the demand curve ...

Suppose that the demand curve for apples is given by Qd = 140 -  5P, where Qd is the number of pounds demanded per year and p is the price per pound. The supply of apples can be de

Tennis club, Suppose you belong to a tennis club that has a monthly fee of ...

Suppose you belong to a tennis club that has a monthly fee of $75 and a charge of $5 per hour to play tennis.

Underwrite stock for companies, When investment banks underwrite IPOs, they...

When investment banks underwrite IPOs, they are typically sell stock for 5-10 percent more than they pay for it. When they underwrite stock for companies that are already public, t

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

Determine the categories of finished goods, Determine the categories of fin...

Determine the categories of finished goods Finished goods in the goods market are divided into 4 categories: private consumption going to private sector, public consumption for

What are the important tools of making decisions, What are the important to...

What are the important tools of making decisions? Making Decisions: a. How economists model decision making through individuals and firms b. Implicit costs and Explicit-C

How do countries grow economic growth, How do countries grow Economic growt...

How do countries grow Economic growth? Economic growth is attaining by increasing: • Quantity of resources by investment • Quality of resources by training as well as R

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