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Lecture 7
Macroeconomics
Opening
Prayer
Quiz Master
Exam 1
Tuesday Sept 28
3 hours
Canvas
Proctorio
Multiple Choice
Short Answer
Chapter 8
Growth, Capital
Accumulation, and Ideas
Videos
Model
Simplify
Assumptions
Robert Solow Paul Romer
Functions
X
Y
Linear
Diminishing
Exponential
Y = X
Y = X2
Y = √X
Solow Model
Income = f(Capital)
Y = f(K)
Capital has diminishing returns
Y = f(√K)
Save from Income to replace Capital
Saving = sY
Depreciation is real
D = dK
Y = Output
A = Ideas
K = Capital
e = education
L = Labor
Y = f(A, K, eL)
Solow Model
Y = F(K)
function is not linear
diminishing
Y = √K
Solow Model
Solow Growth Model
Y = √K
S = I = s√K
D = dk
Capital K
Y
Output
K = 100
s = .30 or 30%
d = .025 or 2.5%
Y = ?
S = ?
D = ?
Consumption = ?
Quiz
Solow Growth
Model Y =
√K
S = I =
s√K
D = dk
Capital K
Y
Output
10
0
10
3
2.5
Solow Growth
Model Y = √K
S = I =
s√K
D = dk
Capital K
Y
Output
144
12
3.6
0
Consumption
8.40
Increase Savings
Increase
Productivity
Two Ways to Grow
Solow Growth
Model
Raise
Savings
Rate
30%
40%
Capital K
Y
Output
Solow Growth Model
income is a function of K
add a productivity factor to
K
A = technology
Y = √K
Y = A√K
Increase Technology
Solow Growth Model
Yabut….
Diminishing?
Ideas
Increasing Returns
Romer
Growth Model
Ideas
Paul Romer
Every generation has
underestimated the
potential for finding new
ideas…Possibilities do not
add up.They multiply
A + B
A x B
AB
Economics of Ideas
Ideas
Inventions
Innovations
Increasing Returns
A candle loses
nothing by lighting
another candle
- John Heller
How many seeds in an apple?
How many apples in a seed?
Rates of Return
Increasing
Romer
Decreasing
Solow
Chapter 9
The Financial
System
Savers ,
Lenders,
Investors
Borrowers
Money
Market
Interest
Rate
Quantity
I.O.U.
$1
Dr. Pooley
I.O.U.
$100
Sept. 23, 2022
Dr. Pooley
I.O.U.
$100 plus 5%
Sept. 23, 2022
Dr. Pooley
I.O.U.
$100 plus 10%
Sept. 23, 2022
Dr. Pooley
I.O.U.
$100
Coupon Rate 10%
Each Year
Sept. 23, 2032
Dr. Pooley
$10 $10 $10 $10 $10 $10 $10 $10 $10 $10
Bonds
Special IOU
Price and Interest Rate go in
opposite directions
OPM
Other People’s
Money
Leverage
Debt
Equity
=
Leverage Ratio
Leverage Ratio
Other’s Money
My Money
=
$50
$50
=
1
Leverage Ratio
$90
$10
=
9
Leverage Ratio
Leverage
Start with $10
Borrow $90
Buy for $100
Sell for $110
Payback $90
End with $20
Double your $10
Leverage
Start with $10
Borrow $90
Buy for $100
Sell for $90
Payback $90
End with $0
Lost your $10
Leverage
Start with $10
Borrow $90
Buy for $100
Sell for $80
Payback $90
End with -$10
Bankruptcy
Concepts
Opportunity Cost
Comparative Advantage
Demand and Quantity Demanded
Price Ceilings and Price Floors
GDP
GDP per Capita
Nominal vs. Real
Rule of 70s
Time Preference
Financial Intermediaries
Capitals of Innovation
Worldview
Your Country

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Macro 7