ECON 304 HW 2
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Economics 304WD -- Homework Lesson 2 - Real vs Nominal Economic Variables
90 points
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In this homework assignment, we are getting our ‘hands dirty’ to get familiar with some of the
major macroeconomic variables that we will be using and working with throughout the semester.
Our first chapter with ‘something to sink our teeth into’ will be chapter 3 and it is all about the
factors of production, the labor market, and the production function.
Major variables in this part
of the macroeconomy
(i.e., the supply side of the economy)
include, but certainly are not limited
to, employment (denoted N), real wages (denoted w = W/P where W = nominal wage and P is the
price index - typically the CPI) and real GDP (denoted Y).
When we move to chapter 4 we
encounter many more major macroeconomic variables including consumption (C), investment (I),
and the real interest rate (denoted r), among others.
We are going to use FRED as our source of
data (many professional economists use this site, nice clean data!)
1
I provide you with the links to the data that is needed throughout this assignment. For an
interesting look at the %ΔW vs. the %ΔP, see this
graph from the FRED site
.
As we move forward through the class, we are going to learn about some “business cycle facts.”
See page 290 in text, Chapter 8. In this first question, among other things, we are going to
investigate the behavior of the real wage over the most recent business cycle. (See the
National
Bureau of Economic Research (NBER) site
- look at right hand side of page for the official dates
of the most previous 4 recessions).
In particular, we are going to calculate the percent change in
the real wage during the most recent recession (12/07 – 6/09) and compare it to the percent
change during the most recent recovery, 7/09 to the present.
1. (15 points total) Use the following two links to answer the following questions:
1
FRED stands for
F
ederal
R
eserve
E
conomic
D
ata.-
see the FRED website
.
Nominal Wages
(W)
Price index CPI
(P)
2
Let us go back to the 1981 – 1982 recession – review the
NBER site
.
Note that officially,
this recession began in third quarter of 1981 and ended in the fourth quarter of 1982.
a)
(5 points) Calculate the real wage (W/P) the first month of the recession 7/81 and
compare it to the last month of the recession 11/82. What is the percent change in
the real wage during this most recent recession? Please show all work and round
to two decimal places.
W/P (7/81)
=
W/P (11/82)
=
%Δ(W/P) =
b)
(5 points) Now calculate the real wage during the first month of the recovery,
12/82 and compare it to the real wage right before the following recession, 6/90.
2
Hint, when deflating using a price index, we typically move the decimal two place to the left. For
example, in 12/09 W = $18.80 and the price index was 217.541.
The real wage is thus 18.80 divided by
2.17541.
2
8.142857
8.15300546
-0.13331575%
July 1981 Nominal Wages 7.46
July 1981 Price Index 91.5
November 1982 Price Index 98
November 1982 Nominal Wages 7.98
7.46
7.98
=
8.15300546
∆ Nominalwages
=
(
7.98
−
7.46
)
7.46
×
100
=
6.97050938%
∆ Price index
=
(
98
−
91.5
)
91.5
×
100
=
7.10382513%
7.98
.98
=
8.142857
Nominalwages∆
−
Price Index ∆
=−
0.13331575
What is the percent change in the real wage during this time period? Please show
all work and round to two decimals.
W/P (12/82)
=
W/P (6/90)
=
%Δ(W/P) =
c)
(5 points) What is the main reason why economists would like to use the real
wage when looking at changes over time?
3
7.85219399
8.20880245
-5.77598992%
June 1990 Nominal Wages 10.20
June 1990 Price Index 129.9
December 1982 Nominal Wages 8.02
December 1982 Price Index 97.7
8.02
97.7
=
8.02
.977
=
8.20880245
10.20
129.9
=
10.20
1.299
=
7.85219399
∆ Price
=
(
129.9
−
97.7
)
97.7
×
100
=
32.9580348%
∆Wage
=
(
10.20
−
8.02
)
8.02
×
100
=
27.18204488%
∆
%
=
27.18204488%
−
32.9580348%
=−
5.77598992%
Economist today uses real wages when considering at deviations. To explain this in simple details real wages are
changed for inflation, and this is how we define living standard changes. As an economist purchasing power is
evaluated my examining real wages too.
2.
question. One is a Ted Talk and the other is an NPR news story. You can also access
them via the links below:
https://www.ted.com/talks/michael_green_what_the_social_progress_index_can_reve
al_about_your_country
http://www.npr.org/templates/story/story.php?storyId=127586501
Why do economists use GDP to measure the wellbeing of society? Is this the best
way to do so? Refer to the items above in discussing other ways to measure the
overall wellbeing of a society.
3. (20 points)
4
Economist Simon Kuznets and the report he delivered was national income 1929-32. This report later
became the foundation on how we judge the success of a country.
Significantly we consider gross domestic product as a display of a society’s standard of living. A fact to
mention; GDP does not directly account for leisure, environmental quality such as air quality, ranks of
health, and educational human capital development. Introducing the Social Progress Index to the economic
system, it’s a measure of the well-being of society, this is not gross domestic product. The social progress
index is founded on three proportions.
First proportion of the pie is
“Does everyone have the basic needs for survival in humanity? This consists of food, water, shelter and
safety.
Second proportion of the pie is “Does everyone have access to the building blocks to improve their lives as
a human capital?” This consists of information, educational and training, importantly the human capital’s
heath and a sustainable environment.
Third proportion to sum up the whole economic pie. “Does every human capital have access to pursue their
goals and dreams?” This can consist of liberty of choice, liberty from discrimination and access to the
common world information.
From the informal philosophy, one should not try to change something that is working well. The economic
system works well to our society leading to the US as the greatest economy in the nation.
You will need to use the following links to answer this question.
Nominal one year rates (
i
)
Click Here
Price index CPI (P)
Click Here
Expected Inflation
Click Here
In this part of question 2, we are going to compare the most recent one year real interest
rates in the US - both ex-ante and ex-post.
A couple notes are in order.
i) Expected inflation data is one year hence - so for example, expected inflation for the
period from July 2010 to July 2011 is given in July 2010 and if you view the data, the
expected inflation during this time is 2.7% = π
e
.
ii) To calculate the actual rate of inflation, for example, during the July 2010 to July 2011
period you need to take the percent change in P = %Δ P.
Using the CPI data, we have the
price index equaling 217.7 in 7/2010 (beginning of August given the end of month data)
and 225.6 in 7/2011 (end of July, 2011).
Note, this is a 12 month period. The actual rate
of inflation during this time is 3.63% = π
iii) When using the one year nominal interest rate to calculate the all-important real
rate(s) of interest we need to be careful.
For example, using the same one year time
period (July 2010 - July 2011) we simply use the one year rate given as of July 2010.
Think of buying the bond in July 2010, putting it in a safety deposit box (or under your
mattress, a coffee can, etc.) and then cashing it in when it matures in July 2011 (you get
your principal times whatever the nominal interest rate is).
In viewing the data, the one
year rate in July 2010 is 0.29%.
So clearly (and by design of the Fed), both the ex-ante
and ex-post real rates are negative during this period and differ because expected inflation
was not equal to actual inflation.
5
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