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Lecture 19
Macroeconomics
Bonus - 2 points
Exchange Rates
Arbitrage
Law of One Price
Due Monday 11:59pm
#econbyuharbitrage2
Extra Credit Opportunities
Movie and Popcorn
Wednesday June 19
HGB 133 7:00pm
Big Mac Index
Big Mac Index
Country Currency Price Rate Dollars
Phillipines Peso 140 0.019 $2.66
Vietnam Dong 65,000 0.000043 $2.80
China Yuan 20.50 0.15 $3.08
Saudi Arabia Riyal 12 0.265 $3.18
Switzerland Franc 6.5 1.0 $6.50
Arbitrage
Buy low and sell high
Buy here and sell there
Buy today and sell
tomorrow
Arbitrage
Are the price differences
different than the exchange rate?
If so, buy low and sell high
The Law of One Price
Arbitrage closes price gaps
Bid up the low price - Demand
Bid down the high price - Supply
1.00 Dollar to 6.92 Yuan
USD to CNY
$ to ¥
$ 5.00
x
6.92
=
¥ 34.60
¥ 30.00
÷
6.92
=
$ 4.34
$ 5.00
$ 4.34 increase demand
increase supply
$ 4.67 one price
Price Arbitrage
Arbitragers
Time Price Database
1980 2018
1980 2018
$14.99$22.95
Change
Reduced
by 80%
$22.46
Per Hour
$6.85
Per Hour
3.35 Hours 0.67 Hours
5x
1980 2018
$71.98$459.95
Change
Reduced
by 95.2%
$22.46
Per Hour
$6.85
Per Hour
67.1 Hours 3.2 Hours
21x
1980 2018
$62.89$459.95
Change
Reduced
by 95.8%
$22.46
Per Hour
$6.85
Per Hour
67.1 Hours 2.8 Hours 24x
1980 2018
$36.80$399.85
Change
Reduced
by 97.2%
$22.46
Per Hour
$6.85
Per Hour
58.4 Hours 1.6 Hours 36x
5x
21x
24x
36x
1980 2018
2018 8.3 hours 1 day
1980 196 hours 24 days
Reduced
95.8%
187.7
Hours
Saved
24x
1997 2017
Increased by 200%
You only get 1/3 of
a textbook
Time Price
decreased
by 96.0%
You get 25 TVs
College
Textbooks
In the past 20
years textbooks
have become 75
times more
expensive relative
to TVs
25 ÷ .33 = 75
TV
“Is it still
okay to
have
children?”
This universe is finite,
its resources, finite…
If life is left
unchecked, life will
cease to exist.
It needs correcting.
Thanos
Society needs
rescaling – we’ve got
to reduce the size of
the entire human
enterprise.
Paul Ehrlich
The power of
population is
indefinitely greater
than the power in
the earth to produce
subsistence for man.
Thomas Malthus
1798
336 million
abortions
33 million
extra men
Source: The Telegraph,
3/15/2013
55 million abortions per year
Prices
Population
Scarcity
Abundance
Julian Simon
Paul Ehrlich
Would Simon still
win today?
Too Generous
Gave Even Odds
Should Have Used
Time Prices
Project
Abundance
50 Commodities
Time Prices
Price Elasticity of Population
Simon Abundance Index
The relationship
between population
and time prices
Abundance
INTERNATIONAL
MONETARY FUND
Innovation
Lower prices
Higher incomes
See the whole picture
The real price of
everything is the toil
and trouble of
acquiring it …. What
is bought with
money... is
purchased by labour.
Adam Smith
Money Price Time Price
Dollars and
Cents
Hours and
Minutes
Money Prices
Real Price
Nominal Price
Deflator
=
Time Prices
Price
Hourly Income
Time Prices
Price
Hourly Income
Hourly Income
GDP Per Capita
Annual Hours Worked
÷
1980 - 2017
1980 2017
Percentage
Change Source or Equation
Nominal Price $0.40 $0.81 102.5% World Bank
GDP per Capita $2,516 $10,495 317.1% World Bank
Hours Worked 2,168 1,964 -9.4% The Conference Board
GDP per Capita
per Hour
$1.16 $5.34 360.5%
GDP per Capita ÷ Hours
Worked
Time Price in
Hours
0.345 0.152 -56.0%
Nominal Price ÷ GDP per
Capita per Hour
Time Price in
Minutes
21 9 -56.0% Time Price in Hours x 60
Oranges
SimonProject
y = -1.2159x + 88.995
R² = 0.6301
0
10
20
30
40
50
60
70
80
90
100
110
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
2012
2014
2016
2018
Oranges
Time Price Index
1980 =100
Percentage Change
Multiplier
Compounded Annual Growth Rate
Years to Double
How many units of an item the same
time would purchase at different
points in times
= old time price ÷ new time price
Multiplier
How many units of an item the same
time would purchase at different
points in times
= 1 ÷ (1 + Percentage Change)
Multiplier
= Multiplier
Compounded Annual Growth Rate
CAGR
1
Years
-1
= Log(2) ÷ Log(1 + CAGR)
Years to Double
= 70 ÷ CAGR
Time Price -56.0%
Multipler 2.27
Compounded
Annual Growth
Rate
2.24%
Years to Double 31.2
1980 - 2017
Oranges
SimonProject
50 Commodities
0
10
20
30
40
50
60
70
80
90
100 1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
Time Prices 1980 = 100
—64.7 Percent
Time Price -64.7%
Multipler 2.83
Compounded
Annual Growth
Rate
2.85%
Years to Double 24.6
1980 - 2017
50 Commodities
Findings
Percentage Change in
Time Prices
Percentage Change in
Population
We assume that Population is always
increasing
Price Elasticity of Population
0
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
Population and Time Prices
1980 = 100
Population
Time Prices
+69.3 Percent
—64.7 Percent
Price Elasticity of Population
1980 - 2017
= - 0.934
For every one percent increase in
population, prices declined almost one
percent
- 64.7%
=
%∆ in Time Prices
%∆ in Population +69.3%
Decreasing Abundance
Emerging Abundance
Accelerating Abundance
Superabundance
Abundance Zones
In 1980 you invite 100 guests for dinner
The cost per guest is $10
The bill is $1,000
In 2017 you invite 69 percent more guests but the
cost per guest has fallen by 65 percent.
What is the bill?
169 x $3.50
= $591.50
Your bill has fallen by over 40 percent
What is
Superabundance?
No matter how many more
people come to dinner, your
bill decreases
Measures abundance since
1980
Set 1980 equal to 100
Simon Abundance Index
SAI
1 + percentage change in population
÷
1 + percentage change in time prices
x
100
= 1.693 ÷ 0.353 x 100
= 479.6
Simon Abundance Index
Change in Time Price Multiplier
x
1 + %∆ in Population
x
100
Simon Abundance Index
= 2.833 x 1.693 x 100
= 479.6
y = 9.6583x + 100
R² = 0.8514
0
100
200
300
400
500
600
19801981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005200620072008200920102011201220132014201520162017
Simon Abundance Index
1980 = 100
Simon Abundance Index
1980 100.00
2017 479.60
Percentage Change 379.6%
Growth Rate 4.33%
Years to Double 16.36
Project
Abundance
50 Commodities
Time Prices
Price Elasticity of Population
Simon Abundance Index
humanprogress.org/simonproject
To learn more visit:
HumanProgress
The Simon Project
Malthus Ehrlich Thanos
Wrong Level of Analysis
Quantity
Money Price
Time Price
Change in Time Prices
Addition
Values
Ratios
Calculus
An economy
grows whenever
people take
resources and
rearrange them in
a way that makes
them more
valuable
How many keys?
How many songs?
Thank You
HumanProgress
humanprogress.org/simonproject

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