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

Factors affecting the price elasticity of demand, Q. Discuss about the fact...

Q. Discuss about the factors affecting the Price Elasticity of Demand. a. Availability of Substitute- Availability of close substitute is important determinants of elasticity of

GDP, Find the annual (yearly) real and nominal GDP numbers for Turkey from ...

Find the annual (yearly) real and nominal GDP numbers for Turkey from TCMB for the recent past. Use the EVDS system and TUIK data. Describe the source and definition of the data us

Annual income from an apartment, The annual income from an apartment comple...

The annual income from an apartment complex is $20,664. The annual expense is estimated to be $3,414. The apartment complex could be sold for $146,499 at the end of 10 years. If yo

Interest rate risk, If interest rates increase, which would you rather be h...

If interest rates increase, which would you rather be holding, long term or short term bond? Why? Which type of bond has the greater interest rate risk?

National income, briefly explain any five uses of national income statistic...

briefly explain any five uses of national income statistics

Country abandons its national currency, When a country abandons its nationa...

When a country abandons its national currency and adopts the currency of the United States, this is known as: A) A floating exchange rate system. B) Dollarization. C) A speculat

frame work, Hello sir, madam... I am hassan PHD student. I''m lost to get...

Hello sir, madam... I am hassan PHD student. I''m lost to get a good frame work of my thesis about e government and economic growth. and I need to know how to measure the variable

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

interpret and explain the nmr spectrum, Treatment of Na2PdCI4 with 3-chlor...

Treatment of Na2PdCI4 with 3-chloro-2-methyl-1-propene under an atmosphere of CO yields the dimer [(11 3 - C 4 H 7 )PdClb (A). The 1H NMR spectrum of A at 298 K shows 3 signals: a

Medium run adjustment - economy adjustment, Suppose the economy is currentl...

Suppose the economy is currently in recession, and the exchange rate if fixed using the IS-LM model. a) Explain and illustrate the economy adjustment (in the medium run) b) E

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