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Chapter 2
Principles of
Corporate FinanceEighth Edition
Present Value, the Objectives of The Firm,
and Corporate Governance
Slides by
Matthew Will
Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved
McGraw-Hill/Irwin
Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved
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Topics Covered
Introduction to Present ValueFoundations of the Net Present Value
RuleCorporate Goals and Corporate
Governance
Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved
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Present and Future Value
Present Value
Value today of a future cash
flow.
Future Value
Amount to which an investment will grow after earning interest
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Discount Factors and Rates
Discount Rate
Interest rate used to compute
present values of future cash flows. Discount Factor
Present value of a $1 future payment.
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Future Values
Future Value of $100 = FV
FV r t $100 ( )1
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Future Values
FV r t $100 ( )1
Example - FV
What is the future value of $5400,000 if interest is compounded annually at a rate of 5% for one year?
000,420$)05.1(000,400$ 1 FV
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Present Value
1factordiscount =PV
PV=ValuePresent
C
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Present Value
Discount Factor = DF = PV of $1
Discount Factors can be used to compute the present value of any cash flow.
DFr t
1
1( )
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Valuing an Office Building
Step 1: Forecast cash flows
Cost of building = C0 = 400
Sale price in Year 1 = C1 = 420
Step 2: Estimate opportunity cost of capital
If equally risky investments in the capital market
offer a return of 5%, then
Cost of capital = r = 5%
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Valuing an Office Building
Step 3: Discount future cash flows
Step 4: Go ahead if PV of payoff exceeds investment
400)05.1(420
)1(1 r
CPV
30370400 NPV
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Net Present Value
r
C
1C=NPV
investment required-PV=NPV
10
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Risk and Present Value
Higher risk projects require a higher rate of return
Higher required rates of return cause lower PVs
400.051
420PV
5%at $420 C of PV 1
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Risk and Present Value
400.051
420PV
5%at $420 C of PV 1
375.121
420PV
12%at $420 C of PV 1
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Risk and Net Present Value
$5,000
370,000-75,0003=NPV
investment required-PV=NPV
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Rate of Return Rule
Accept investments that offer rates of return in excess of their opportunity cost of capital
Example
In the project listed below, the foregone investment opportunity is 12%. Should we do the project?
13.5%or .135370,000
370,000420,000
investment
profitReturn
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Net Present Value Rule
Accept investments that have positive net present value
Example
Suppose we can invest $50 today and receive $60 in one year. Should we accept the project given a 10% expected return?
55.4$1.10
60+-50=NPV
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Opportunity Cost of Capital
Example
You may invest $100,000 today. Depending on the state of the economy, you may get one of three possible cash payoffs:
140,000110,000$80,000Payoff
BoomNormalSlumpEconomy
000,110$3
000,140000,110000,80C payoff Expected 1
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Opportunity Cost of Capital
Example - continued
The stock is trading for $95.65. Next year’s price, given a normal economy, is forecast at $110
The stocks expected payoff leads to an expected return.
15%or 15.65.95
65.95110profit expectedreturn Expected
investment
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Opportunity Cost of Capital
Example - continued
Discounting the expected payoff at the expected return leads to the PV of the project
650,95$1.15
110,000PV
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Opportunity Cost of Capital
Example - continued
Notice that you come to the same conclusion if you compare the expected project return with the cost of capital.
10%or 10.000,100
000,100000,110profit expectedreturn Expected
investment
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Investment vs. Consumption
Some people prefer to consume now. Some prefer to invest now and consume later. Borrowing and lending allows us to reconcile these opposing desires which may exist within the firm’s shareholders.
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Investment vs. Consumption
A
B
100
80
60
40
20
40 60 80 100income in period 0
income in period 1
Some investors will prefer A
and others B
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Investment vs. Consumption
The grasshopper (G) wants to consume now. The ant (A) wants to wait. But each is happy to invest. Each invests $185,000 and returns $210,000 at the end of the year. G wants to consume now so G borrows $200,000 and repays $210,000 at the end of the year. The existence of capital markets allows G to consume now and still invest with A in the project.
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Investment vs. Consumption The grasshopper (G) wants to consume
now. The ant (A) wants to wait. But each is happy to invest. Each invests $185,000 and returns $210,000 at the end of the year. G wants to consume now so G borrows $200,000 and repays $210,000 at the end of the year. The existence of capital markets allows G to consume now and still invest with A in the project.
185 200 Dollars Now
Dollars Next Year
210
194
A invests $185 now and consumes $210 next year
G invests $185 now, borrows $200 and consumes now.
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Managers and Shareholder Interests
Tools to Ensure Management Pays Attention to the Value of the Firm
– Manger’s actions are subject to the scrutiny of the board of directors.
– Shirkers are likely to find they are ousted by more energetic managers.
– Financial incentives such as stock options
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Whose Company Is It?
24
29
78
83
97
76
71
22
17
3
0 20 40 60 80 100 120
United States
United Kingdom
France
Germany
Japan
% of responsesThe Shareholders
All Stakeholders
** Survey of 378 managers from 5 countries
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Dividends vs. Jobs
11
11
59
60
97
89
89
41
40
3
0 20 40 60 80 100 120
United States
United Kingdom
France
Germany
Japan
% of responsesDividends
Job Security
** Survey of 399 managers from 5 countries. Which is more important...jobs or paying dividends?
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Goals of The Corporation
Shareholders desire wealth maximization
Do managers maximize shareholder wealth?
Mangers have many constituencies “stakeholders”
“Agency Problems” represent the conflict of interest between management and owners
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Goals of The Corporation
Agency Problem Solutions
1 - Compensation plans
2 - Board of Directors
3 - Takeovers
4 - Specialist Monitoring
5 - Auditors
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Web Resources
www.smartmoney.com
www.moneychimp.com/features/rule72.htm
www.mhhe.com/business/finance/corpfinonline
www.bankrate.com/brm/default.asp
www.financenter.com
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