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Chapter 27
!

Basic Tools
of
Finance
Survey
Question 1	

What would you prefer?	

!

A. Win 1,000 riyals	

!

B. Flip a coin: 	

50 percent chance you win 2,000 riyals	

50 percent chance you win nothing.
Survey
Question 2	

What would you prefer?	

!

A. Lose 1,000 riyals	

!

B. Flip a coin: 	

50 percent chance you lose 2,000 riyals	

50 percent chance you lose nothing.
Survey
Most people avoid risk 	

on gains	

!

but prefer to take risks
to avoid loss
Key Terms
finance	

present value	

future value	

compounding	

discounting	

risk aversion	

diversification

firm-specific risk	

market risk	

fundamental analysis	

efficient market
hypothesis	

information efficiency	

random walk
Key Formulas
r = rate 	

N = number of periods

Compounding 	


Discounting 	


Future Value or FV	

multiplying

Present Value or PV	

dividing

N

(1+r)

1
N
(1+r)
Finance
Time and Risk
Tomorrow	

One Year	

Ten Years
Discount the future	

!

Today is worth
more than
tomorrow
Today
One year

Ten Years

Grow	

in the
Future
Promissory Note
I.O. U.
10 SAR	

Dr. Gale

Trading paper for paper
Rates
and
Compounding
Linear
versus
Exponential
Linear versus Exponential	

Adding versus Compounding
64

64

^

56
48
40
32

32

24
16

16

8
0 2
1

+

4

2

8
6

8

3

4

10

5

12

6
Fixed Amount
N

Start

Add

End

0

100.00

7.00

107.00

1

107.00

7.00

114.00

2

114.00

7.00

121.00

3

121.00

7.00

128.00

4

128.00

7.00

135.00

5

135.00

7.00

142.00
Compounding
Grow by a percentage
each year, 	

not a fixed amount
Compounding
The process of finding
the future value of a
present sum of money	

!

multiplying
Discounting
The process of finding
the present value of a
future sum of money	

!

dividing
compounding is the
inverse of discounting	

discounting is the
inverse of compounding
Compounding
7%
N

Start

Add

End

0

100.00

7.00

107.00

1

107.00

7.49

114.49

2

114.49

8.01

122.50

3

122.50

8.58

131.08

4

131.08

9.18

140.26

5

140.26

9.82

150.07
Fixed vs. Compounding
Fixed

7%

N

Start

Add

End

Start

Add

End

0

100.00

7.00

107.00

100.00

7.00

107.00

1

107.00

7.00

114.00

107.00

7.49

114.49

2

114.00

7.00

121.00

114.49

8.01

122.50

3

121.00

7.00

128.00

122.50

8.58

131.08

4

128.00

7.00

135.00

131.08

9.18

140.26

5

135.00

7.00

142.00

140.26

9.82

150.07
amount

Compounding
8%

4%
2%

time
Rate

Amount in 30
years

1%

136.13

2%

184.76

4%

337.31

8%

1,086.77

16%

9,958.59

32%

546,753.87
Future Value
The amount of money
in the future, using an
interest rate, that a
present amount will
produce
Key Formula 1
Future Value or FV
N

(1+r)

r = rate 	

N = number of periods
r = 10%
FV =?
N

(1+r)

N
1
2
3
4
5

FV
1.100	

1.210	

1.331	

1.464	

1.611
Present Value
The amount of money
need today, using an
interest rate, to
produce a future
amount
Key Formula 2
Present Value or PV
Reciprocal	

1
of the 	

N
FV formula
(1+r)
r = rate 	

N = number of periods
r = 10% 	

N = 5	

PV =?
1
N

(1+r)

N
1
2
3
4
5

PV
.909	

.826	

.751	

.683	

.621	

3.791
7% discount
1

0.935

2

0.873

3

0.816

4

0.763

5

0.713

6

0.666

7

0.623

8

0.582

9
10

0.544
0.508

Worth less and less
due to time and risk
Insurance
Sharing risk	

!

Does not eliminate risk	

Spread around risk
Risk Aversion
A dislike of uncertainty
Scenario
Cost: 1000	

Risk: 1 in 100	

Expected cost = 	

cost x risk = 	

1000 x .01	

=10
Scenario
Expected cost =10	

Total Cost = 1000	

Get 100 people to give
10 each to fund the
account	

10 x 100 = 1000
Insurance Problems
Asymmetric Information	

Adverse Selection	

Moral Hazard
Asymmetric Information
Parties to a trade do
not have the same
information	

!

Not Equal
Adverse Selection
Making a bad choice
due to asymmetric
information
Moral Hazard
Changing behavior after
an agreement	

!

Temptation to abuse
the other party
Diversification
Replace one large risk
with lots of smaller
unrelated risks
Three Risks
Firm Risk	

Industry Risk	

Market Risk
Firm Risk
Risk that affects only a
single company
Industry Risk
Risk that affects all the
companies in an
industry
Market Risk
Risk that affects all the
companies in the stock
market
Valuation
What is it worth?	

!

Analyze financial
statements and future
prospects
Speculative Bubble
Price is greater than
fundamental value	

!

Buy because everyone
else is buying

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Economic History of the United States - Lecture 2
Economic History of the United States - Lecture 2Economic History of the United States - Lecture 2
Economic History of the United States - Lecture 2
 
Economic History of the United States - Lecture 1
Economic History of the United States - Lecture 1Economic History of the United States - Lecture 1
Economic History of the United States - Lecture 1
 
Economic History of the United States - Lecture 3
Economic History of the United States - Lecture 3Economic History of the United States - Lecture 3
Economic History of the United States - Lecture 3
 

Eco 202 ch 27 basic tools of finance