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

National incom, describe national income

describe national income

Factors influence group members, Norms influence behavior conformity among ...

Norms influence behavior conformity among group members. What factors will influence group members to conform to a group's norms, and when will members remain independent? Do indiv

Demographic features in development, DEMOGRAPHIC FEATURES IN DEVELOPMENT: ...

DEMOGRAPHIC FEATURES IN DEVELOPMENT: We have learned in the previous unit that human resources play a significant role in generating aggregate flow of goods and services. The

Aggregate supply and the as curve, Aggregate supply and the AS curve ...

Aggregate supply and the AS curve The AS curve is the aggregate supply as a function of P. It is horizontal when thesupply is low and upward sloping when the s

Determinants of long run prosperity rank, The questions posed are broad and...

The questions posed are broad and open ended so be careful to allow yourself enough research and planning time. If you are completely on top of the material delivered in class, the

Describe how exchange rate is expressed, Describe how exchange rate is expr...

Describe how exchange rate is expressed in some nation In some nations, exchange rate is expressed using home currency as base currency. In UK for instance, Danish exchange rat

As-ad model with inflation, Q. AS-AD model with inflation? When we have...

Q. AS-AD model with inflation? When we have inflation, both AD curve and AS curve will be gliding. 'The glide rate' of the AD curve is given by Π M whereas it is Π W that appli

Composition and direction of trade, Composition and Direction of Trade: ...

Composition and Direction of Trade: The impact of trade reforms can be observed from the changing structure of India's  foreign  trade in  terms of diversity  of  production

Dynamic muliplier, distinguish between state and dynamic multiplier and ill...

distinguish between state and dynamic multiplier and illusrate balanc budget theorm in hindi

Microsoft stock buy call options, Suppose you buy call options on Microsoft...

Suppose you buy call options on Microsoft stock. Each option costs $2 and has the strike price of $40 and the expiration date July 1. Discuss whether you would exercise the options

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