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

Exchange rates, is/lm curve

is/lm curve

Credit multiplier, compute: credit multiplier, maximum change in the money ...

compute: credit multiplier, maximum change in the money supply

Help, i want an answer for my q Question 3 (5 marks) Most studies of firm...

i want an answer for my q Question 3 (5 marks) Most studies of firms’ long run costs have found that average costs decline as firms produce increasingly larger output levels (eco

Licensed drivers revealed the following number of speeding, A sample of 2,0...

A sample of 2,000 licensed drivers revealed the following number of speeding violations. 0 violations for 1,910 drivers. 1 Violations for 46 drivers. 2 violations for 18 drivers. 3

Economic functions of money - a medium of exchange, Economic functions of m...

Economic functions of money - A medium of exchange This is its most important role. Without money we would live in a barter economy where we would have to trade goods and

Opportunity cost, assumptions of opportunity cost

assumptions of opportunity cost

Joint probability, Suppose P(X1)=.75 and P(Y2/X1)=.40. What is the joint pr...

Suppose P(X1)=.75 and P(Y2/X1)=.40. What is the joint probability of X1 and Y2?

What is the remaining wip for wc, Below is a simple/familiar (I hope) works...

Below is a simple/familiar (I hope) worksheet for the "Dice Game".  Answer the following questions given the data for the each Work Center's scheduled production:

What are the advantages of capitalism, The benefits of capitalism are that ...

The benefits of capitalism are that the governments have limited control over other business, which lets business compete.

How we can determine the macroeconomic performance, Macroeconomic performan...

Macroeconomic performance The UK's future macroeconomic performance must be judged on how average living standards improve, inflation is kept under control, economy grows and

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