chapter 11 fundamentals of corporate finance sixth edition slides by matthew will mcgraw-hill/irwin...

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Chapter 11Fundamentals of

Corporate

Finance

sixth Edition

Slides by

Matthew Will

McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

Introduction to Risk, Return, and the Opportunity Cost of

Capital

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 2

Topics Covered

Rates of Return: A ReviewA Century of Capital Market HistoryMeasuring RiskRisk & DiversificationThinking About Risk

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 3

Rates of Return

20.2%or .202=

31.12

.825.47 =Return Percentage

P e rc e n ta g e R e tu rn = C a p i ta l G a in + D iv id e n d In i t ia l S h a re P r ic e

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 4

Rates of Return

D iv id e n d Y ie ld = D iv id e n d In i t ia l S h a re P r ic e

C a p i t a l G a in Y ie ld = C a p i t a l G a inIn i t i a l S h a r e P r i c e

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 5

Rates of Return

%2.6or 026.31.12

0.82= Yield Dividend

%17.6or 176.31.12

5.47= YieldGain Capital

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 6

Rates of Return

Nominal vs. Real

1+ real ror = 1 + nominal ror1 + inflation rate

%4.16ror real

164.1=ror real+1 .033 + 1.202 + 1

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 7

Market Indexes

Dow Jones Industrial Average (The Dow)

Value of a portfolio holding one share in each of 30 large industrial firms.

Standard & Poor’s Composite Index (The S&P 500)

Value of a portfolio holding shares in 500 firms. Holdings are proportional to the number of shares in the issues.

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 8

The Value of an Investment of $1 in 1900

Source: Ibbotson Associates

1

10

100

1000

10000

100000

Common StocksLong T-BondsT-Bills

Inde

x

Year End

$17,545

$160

$61

2004

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 9

Rates of Return

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

Ret

urn

(%

)

Year

Common Stocks (1900-2004)

2004

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 10

Expected Return

7.6+2.5=10.1% (2005)

7.6+14=21.6% (1981)

premium

risk normal+

billsTreasury

on rateinterest =

return

market Expected

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 11

Measuring Risk

Variance - Average value of squared deviations from mean. A measure of volatility.

Standard Deviation - Average value of squared deviations from mean. A measure of volatility.

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 12

Measuring RiskCoin Toss Game-calculating variance and standard deviation

(1) (2) (3)

Percent Rate of Return Deviation from Mean Squared Deviation

+ 40 + 30 900

+ 10 0 0

+ 10 0 0

- 20 - 30 900

Variance = average of squared deviations = 1800 / 4 = 450

Standard deviation = square of root variance = 450 = 21.2%

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

McGraw-Hill/Irwin

10- 13

Risk and Diversification

Diversification - Strategy designed to reduce risk by spreading the portfolio across many investments.

Unique Risk - Risk factors affecting only that firm. Also called “diversifiable risk.”

Market Risk - Economy-wide sources of risk that affect the overall stock market. Also called “systematic risk.”

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 14

Risk and Diversification

Deviation from SquaredYear Rate of Return Average Return Deviation

1999 23.7 19.52 381.03 2000 (10.9) (15.08) 227.41 2001 (11.0) (15.18) 230.43 2002 (20.9) (25.08) 629.01 2003 31.6 27.42 751.86 2004 12.6 8.42 70.90

Total 25.1 2,290.63 Average rate of return = 25.1/6=4.18%Variance = average of squared deviations = 2290.63/6=381.77Standard deviation = squared root of variance = 19.54%

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 15

Risk and Diversification

Portfolio rate

of return=

fraction of portfolio

in first assetx

rate of return

on first asset

+fraction of portfolio

in second assetx

rate of return

on second asset

((

((

))

))

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 16

Stock Market Volatility 1926-2004

0

10

20

30

40

50

60

Std

Dev

2004

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10- 17

Country Risk Premia (%)

0

2

4

6

8

10

12Italy

Japan

France

Germany (ex 1922/3)

Australia

South Africa

Sweden

USA

Average

UK

Ireland

Canada

Spain

Switzerland

Belgium

Denmark

Norway

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 18

Histogram of Returns

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 19

Risk and Diversification

05 10 15

Number of Securities

Po

rtfo

lio

sta

nd

ard

dev

iati

on

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10- 20

05 10 15

Number of Securities

Po

rtfo

lio

sta

nd

ard

dev

iati

on

Market risk

Uniquerisk

Risk and Diversification

Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved

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10- 21

Thinking About Risk

Message 1Some Risks Look Big and Dangerous but

Really Are Diversifiable

Message 2Market Risks Are Macro Risks

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10- 22

Web Resources

www.globalfindata.com

www.mscidata.com

www.econ.yale.edu/~shiller

http://pages.stern.nyu.edu/~adamodar

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