12-1 some lessons from capital market history chapter 12 copyright © 2013 by the mcgraw-hill...
TRANSCRIPT
![Page 1: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/1.jpg)
12-1
Some Lessons from Capital Market History
Chapter 12
Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin
![Page 2: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/2.jpg)
12-2
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 3: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/3.jpg)
12-3
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 4: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/4.jpg)
12-4
Risk, Return and Financial Markets
Looking back through time we know…..
1.There is a reward for bearing risk
2.The > the risk = the > the potential return!
![Page 5: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/5.jpg)
12-5
This is called: The Risk/Return Trade-
off
![Page 6: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/6.jpg)
12-6
Dollar Returns
Total dollar return =
income from investment
+ capital gain (or loss) due to the change in price
![Page 7: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/7.jpg)
12-7
What is my return?
• You bought a bond for $950 one year ago.
• You have received two coupons of $30 each.
• You can sell the bond for $975 today.
• What is your total dollar return?
![Page 8: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/8.jpg)
12-8
What is my return?
• Income = 30 + 30 = 60
• Capital Gain = 975 - 950 = 25
• Total Dollar return =60 + 25 = $85
![Page 9: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/9.jpg)
12-9
Percentage Returns
It is generally more intuitive to think in terms of percentage, (rather than dollar), returns
![Page 10: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/10.jpg)
12-10
Percentage Returns
1. Dividend Yield = income/beginning price
2. Capital Gains Yield = (ending price – beginning price) / beginning price
3. Total percentage return = dividend yield + capital gains yield
![Page 11: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/11.jpg)
12-11
Percentage Returns
• You bought a stock for $35.
• You received
dividends of $1.25.
• The stock is now selling for $40.
![Page 12: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/12.jpg)
12-12
Percentage Returns1. Dividend Yield = income/beginning
price1.25 / 35 = 3.57%
2. Capital Gains Yield = (ending price – beginning price) / beginning price
(40 – 35) / 35 = 14.29%
3. Total percentage return = dividend yield + capital gains yield
3.57 + 14.29 = 17.86%
![Page 13: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/13.jpg)
12-13
The Importance of Financial Markets
Financial markets allow companies, governments and individuals to increase their utility/wealth
Savers have the ability to invest in financial assets so that they can defer consumption and earn a return to compensate them for doing so
Borrowers have better access to the capital that is available so that they can invest in productive assets
![Page 14: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/14.jpg)
12-14
The Importance of Financial Markets
Financial markets also provide us with information about the returns that are required for various levels of risk
![Page 15: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/15.jpg)
12-15
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 16: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/16.jpg)
12-16
![Page 17: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/17.jpg)
12-17
Year-to-Year Total Returns
Large-Company Stock Returns
Long-Term GovernmentBond Returns
U.S. Treasury Bill Returns
Long-Term Government Bonds
U.S. Treasury Bills
Large Companies
![Page 18: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/18.jpg)
12-18
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average Returns• Capital Market Efficiency
![Page 19: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/19.jpg)
12-19
A Comparison of Average Returns
Investment Average Return
Large Stocks 12.3%
Small Stocks 17.1%
Long-term Corporate Bonds
6.2%
Long-term Government Bonds
5.8%
U.S. Treasury Bills 3.8%
Inflation 3.1%
![Page 20: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/20.jpg)
12-20
Now let’s add risk to the picture
![Page 21: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/21.jpg)
12-21
Risk Premiums
• The “extra” return earned for taking on risk
• Treasury bills are considered to be risk-free
• The risk premium is the return over and above the risk-free rate
![Page 22: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/22.jpg)
12-22
Average Annual Returns and Risk Premiums
Investment Average Return
Risk Premium
Large Stocks 12.3% 8.5%
Small Stocks 17.1% 13.3%
Long-term Corporate Bonds
6.2% 2.4%
Long-term Government Bonds
5.8% 2.0%
U.S. Treasury Bills 3.8% 0.0%
![Page 23: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/23.jpg)
12-23
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 24: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/24.jpg)
12-24
![Page 25: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/25.jpg)
12-25
Variance and Standard Deviation
![Page 26: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/26.jpg)
12-26
Variance and Standard Deviation
Variance and standard deviation measure the volatility of asset returns
The greater the volatility, the greater the uncertainty
In finance, we use both variance and standard deviation to measure… Risk!
![Page 27: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/27.jpg)
12-27
Variance and Standard DeviationHistorical variance = sum of squared deviations from the mean / (number of observations – 1)
Standard deviation = square root of the variance
Std. Dev. = √Variance
![Page 28: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/28.jpg)
12-28
Example – Variance and Standard
DeviationYear Actua
l Retur
n
Average
Return
Deviation from the
Mean
Squared Deviation
1 .15 .105 .045 .002025
2 .09 .105 -.015 .000225
3 .06 .105 -.045 .002025
4 .12 .105 .015 .000225
Totals
.42 .00 .0045
Variance = .0045 / (4-1) = .0015
Standard Deviation = .03873
![Page 29: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/29.jpg)
12-29
Work the Web Example
How volatile are mutual funds?
Morningstar provides information on mutual funds, including volatility
Click on the web surfer to go to the Morningstar site
Pick a fund, such as the AIM European Development fund (AEDCX)Enter the ticker, press go and then click “Risk Measures”
![Page 30: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/30.jpg)
12-30
![Page 31: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/31.jpg)
12-31
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 32: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/32.jpg)
12-32
Arithmetic vs. Geometric Mean
So which is better?
The arithmetic average is overly optimistic for long horizons
The geometric average is overly pessimistic for short horizons
![Page 33: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/33.jpg)
12-33
Arithmetic vs. Geometric Mean
So which is better?
The answer depends on the planning period under consideration:
15 – 20 years or less: use the arithmetic
20 – 40 years or so: split the difference between them
40 + years: use the geometric
![Page 34: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/34.jpg)
12-34
Example: Computing Averages
What is the arithmetic and geometric average for the following returns?
Year 1 5%Year 2 - 3%Year 3 12%
![Page 35: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/35.jpg)
12-35
Arithmetic vs. Geometric Mean
• Arithmetic average – return earned in an average period over multiple periods
(5 + (-3) + 12) /3 = 4.67%
![Page 36: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/36.jpg)
12-36
Arithmetic vs. Geometric Mean
Geometric average – average compound return per period over multiple periods
[(1 + .05)*(1-.03)*(1+.12)]1/3 -1
= .0449 = 4.49%
![Page 37: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/37.jpg)
12-37
Chapter Outline
• Returns• The Historical Return• Average Returns: The 1st
Lesson• The Variability of Returns:
The 2nd Lesson• More about Average
Returns• Capital Market Efficiency
![Page 38: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/38.jpg)
12-38
Efficient Capital Markets
Are stocks correctly valued or priced?
• If “the market” is perfect, then it should be “efficient”
• An “efficient market” is where stock prices are in equilibrium or are “fairly” priced
• If this is true, then you should not be able to earn “abnormal” or “excess” returns
• Efficient markets DO NOT imply that investors cannot earn a positive return in the stock market
![Page 39: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/39.jpg)
12-39
![Page 40: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/40.jpg)
12-40
What Makes Markets Efficient?
• There are many investors out there doing research
• As new information comes to market, this information is analyzed and trades are made based on this information
• Therefore, prices should reflect all available public information
• If investors stop researching stocks, then the market will not be efficient
![Page 41: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/41.jpg)
12-41
The Efficient Market Hypothesis (EMH)
There are three forms of the EMH:
1.Strong Form Efficiency
2.Semi-strong Form Efficiency
3.Weak Form Efficiency
![Page 42: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/42.jpg)
12-42
Strong Form Efficiency
• Prices reflect all information, including public and private
• If the market is strong form efficient, then investors could not earn abnormal returns regardless of the information they possessed
• Empirical evidence indicates that markets are NOT strong form efficient and that insiders could earn abnormal returns
![Page 43: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/43.jpg)
12-43
Semi-strong Form Efficiency
• Prices reflect all publicly available information including trading information, annual reports, press releases, etc.
• If the market is semi-strong form efficient, then investors cannot earn abnormal returns by trading on public information
• Implies that fundamental analysis will not lead to abnormal returns
![Page 44: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/44.jpg)
12-44
Weak Form Efficiency• Prices reflect all past market
information such as price and volume
• If the market is weak form efficient, then investors cannot earn abnormal returns by trading on market information
• Implies that technical analysis will not lead to abnormal returns
• Empirical evidence indicates that markets are generally weak form efficient
![Page 45: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/45.jpg)
12-45
Common Misconceptions
about EMH• Efficient markets do not mean that you
can’t make money
• They do mean that, on average, you will earn a return that is appropriate for the risk undertaken and there is not a bias in prices that can be exploited to earn excess returns
• Market efficiency will not protect you from wrong choices if you do not diversify – you still don’t want to “put all your eggs in one basket”
![Page 46: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/46.jpg)
12-46
Ethics Issues
Program trading is defined as automated trading generated by computer algorithms designed to react rapidly to changes in market prices. Is it ethical for investment banking houses to operate such systems when they may generate trade activity ahead of their brokerage customers, to which they owe a fiduciary duty?
Suppose that you are an employee of a printing firm that was hired to proofread proxies that contained unannounced tender offers (and unnamed targets). Should you trade on this information, and would it be considered illegal?
1-46
![Page 47: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/47.jpg)
12-47
Comprehensive Problem
Your stock investments return 8%, 12%, and -4% in consecutive years.
1.What is the geometric return?
2. What is the sample standard deviation of the above returns?
3. Using the standard deviation and mean that you just calculated, and assuming a normal probability distribution, what is the probability of losing 3% or more?
![Page 48: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/48.jpg)
12-48
Comprehensive Problem
Your stock investments return 8%, 12%, and -4% in consecutive years. 1. What is the geometric return?
(1.08 x 1.12 x .96)^ .333 -1 = .0511
![Page 49: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/49.jpg)
12-49
Comprehensive Problem
Your stock investments return 8%, 12%, and -4% in consecutive years.
1. What is the geometric return?
2. What is the sample standard deviation of the above returns?
Mean = (.08 + .12 + -.04) / 3 = .0533
Variance = (.08 - .0533)^2 + (.12 - .0533)^2
+ (-.04 - .0533)^2 / (3-1) = .00693Standard deviation = .00693 ^ .5
= .0833
![Page 50: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/50.jpg)
12-50
Comprehensive Problem
Your stock investments return 8%, 12%, and -4% in consecutive years.
3. Using the standard deviation and mean that you just calculated, and assuming a normal probability distribution, what is the probability of losing 3% or more?
Probability: a 3% loss (return of -3%) lies one standard deviation below the mean. There is 16% of the probability falling below that point (68% falls between -3% and 13.66%, so 16% lies below -3% and 16% lies above 13.66%).
![Page 51: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/51.jpg)
12-51
Terminology
• Dollar return• Percentage return• Dividend Yield • Capital Gain Yield• Risk Premium• Variance and Std. Deviation• Arithmetic vs. Geometric Mean• Efficient Market Hypothesis
![Page 52: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/52.jpg)
12-52
Formulas
Total Dollar return = income + capital gain (or loss)
Percentage return = dividend yield + capital gain yieldVariance = sum of the squared deviations from the mean / (number of observations – 1)
![Page 53: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/53.jpg)
12-53
Formulas (continued)
Arithmetic average = sum of the return earned over multiple years / number of years Geometric average = average compound return per period over multiple periods
![Page 54: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/54.jpg)
12-54
Key Concepts and Skills
• Calculate the return on an investment
• Compare returns to the various levels of risk of an investment
• Compute variance and standard deviation as a measure of financial risk
• Compare the three forms of the Efficient Market Hypothesis
![Page 55: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/55.jpg)
12-55
1. Risk and Return are directly related (risk/return tradeoff)
2. Variance and Standard Deviation are used to measure financial risk
3. The three forms of the EMH suggest how stocks are valued by the market
What are the most important topics of this chapter?
![Page 56: 12-1 Some Lessons from Capital Market History Chapter 12 Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin](https://reader036.vdocuments.us/reader036/viewer/2022062516/56649e035503460f94aee6f1/html5/thumbnails/56.jpg)
12-56
Questions?