A1 Business and Technical College Risk Diversification and Returns Paper & Excel Sheet Please download the file down bellow and follow the instructions.I added a pdf file for more materials.I added a sample video, Note: DO NOT use the same companies in the video. Thank you. CHAPTER 8
RISK AND RATES OF
RETURN
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
1
Learning Outcomes
LO.1 Explain what it means to take risks when
investing.
LO.2 Compute the risk and return of an
investment, and explain how the risk and
return of an investment are related.
LO.3 Identify relevant and irrelevant risk, and
explain how irrelevant risk can be reduced.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
2
Learning Outcomes (cont.)
LO.4 Describe how to determine the appropriate
rewardthat is, rate of returnthat investors
should earn for purchasing an investment.
LO.5 Describe actions that investors take when the
return they require to purchase an investment is
different from the return they expect the
investment to produce.
LO.5 Identify different types of risk, and classify each
as relevant or irrelevant with respect to
determining an investments required rate of
return.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
3
Defining and Measuring Risk
? Risk is the chance that an unexpected outcome
will occur.
? A probability distribution is a listing of all
possible outcomes with a probability assigned
to each.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
4
Probability Distributions
? It either will rain, or it will not rain; there are
only two possible outcomes.
Outcome
Rain
No Rain
Probability
0.40
= 40%
0.60
= 60%
1.00
100%
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5
Probability Distributions
? Martin Products and U. S. Electric
State of the
Economy
Boom
Normal
Recession
Probability of This
State Occurring
0.2
0.5
0.3
1.0
Rate of Return on Stock if
the Economic State Occurs
Martin Prod. U.S. Electric
110%
20%
22
16
60
10
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
6
Expected Rate of Return
? Rate of return expected to be realized from an
investment during its life.
? Mean value of the probability distribution of
possible returns.
? Weighted average of the outcomes, where the
weights are the probabilities.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
7
Expected Rate of Return
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
8
Total Risk (Stand-Alone Risk):
The Standard Deviation (?)
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9
Standard Deviation (?):
Martin Products
ri – r?
= (3)
(ri – r? )2
(4)
110% 15% = 95
22 15 = 7
60 15 = 75
9,025
49
5,625
ri
r?
(1) (2)
(5)
(ri – r? )2Pri
(4) x (5) =
0.2 9,025 x 0.2
0.5
49 x 0.5
0.3 5,625 x 0.3
Variance = ?2
(6)
= 1,805.0
=
24.5
= 1,687.5
= 3,517.0
Standard deviation = ? =
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
10
Estimated Standard Deviation, s
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11
Measuring Risk: Coefficient of
Variation
? Calculated as the standard deviation divided by
the expected return.
? Useful where investments differ in risk and
expected returns.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
12
Risk Aversion and Required
Returns
? Risk-averse investors require higher rates of
return to invest in higher-risk securities.
? Risk Premium (RP):
?
?
The portion of the expected return that can be
attributed to an investments riskiness.
The difference between the expected rate of
return on a given risky asset and that on a less
risky asset.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
13
Risk/Return Relationship
Return
(r)
rHigh
rAvg
r = rRF + RP
rLow
Payment for Risk = Risk Premium = RP
rRF
Risk-Free Return, rRF = r* + Inflation Premium = r* + IP
0
Below Average Risk
Average Risk
Above Average Risk
Risk
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
14
Portfolio Returns
? Expected return on a portfolio,
rp
?
The weighted average expected return on the
stocks held in the portfolio.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
15
Portfolio Returns
? Realized rate of return,
?
The return that is actually earned.
?
Actual return usually differs from expected
return.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
16
Portfolio Risk
? Correlation Coefficient, ?
?
Measures the degree of relationship between two
variables.
?
Positively correlated stocks (? > 0) have rates of
return that move in the same direction.
?
Negatively correlated stocks (? < 0) have rates of
return that move in opposite directions.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
17
Portfolio Risk
? Risk Reduction
?
?
?
?
Combining stocks that are not perfectly
correlated will reduce the portfolio risk through
diversification.
The riskiness of a portfolio is reduced as the
number of stocks in the portfolio increases.
The smaller the positive correlation, the lower
the risk.
The greater the negative correlation, the lower
the risk.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
18
Portfolio Risk
Portfolio Risk, ?P
(%)
30
.
.
25
.
20
Diversifiable Risk Related to
Company-Specific Events
(Unsystematic Risk)
.
.
Total Risk
15
10
Minimum Attainable
Risk in a Portfolio of
Average Stocks
Nondiversifiable Risk Related to
Market/Economic Fluctuations
(Systematic Risk)
5
0
1
10
20
30
40
All NYSE Stocks
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
19
Firm-Specific Risk versus Market
Risk
? Firm-Specific Risk:
?
That part of a securitys risk associated with
random outcomes generated by events, or
behaviors, specific to the firm.
?
Firm-specific risk can be eliminated through
proper diversification.
?
Also called diversifiable risk or unsystematic
risk.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
20
Firm-Specific Risk versus Market
Risk
? Market Risk:
?
?
That part of a securitys risk that cannot be
eliminated through diversification because it is
associated with economic, or market factors that
systematically affect all firms.
Also called nondiversifiable risk or systematic
risk.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
21
Firm-Specific Risk versus Market
Risk
? Relevant risk = market risk:
?
?
The risk associated with a security that cannot be
diversified away
This risk reflects a securitys contribution to the
total risk of a portfolio.
? Irrelevant risk = firm-specific risk:
?
The risk associated with a security that can be
diversified away.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
22
The Concept of Beta
? Beta Coefficient, ?:
?
A measure of the extent to which the returns on a
given stock move with the stock market, which
represents an average stock.
?
The entire market is extremely well diversified
(theoretically perfectly diversified), because it
includes all investments.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
23
The Concept of Beta (cont.)
? ? = 0.5: stock is only half as volatile, or risky, as
the average stock.
? ? = 1.0: stock has the same risk as the average
stock (same as the market).
? ? = 2.0: stock is twice as risky as the average
stock.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
24
Portfolio Beta Coefficients
? The beta of any set of securities is the
weighted average of the individual securities
betas
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
25
Risk Premium for a Stock
Risk premium for Stock j = RPj = RPM x ?j
= (rM rRF)?j
RPM = Market (average stock) risk premium
rM
= Market (average stock) return
rRF
= Risk-free rate of return
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
26
The Required Rate of Return for a
Stock, rj
Required return = Risk-free return + Premium for risk
rj
=
rRF
+
RPj
=
rRF
+
(RPM)?j
=
rRF
+
(rM rRF) ?j
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
27
Capital Asset Pricing Model
(CAPM)
? A model used to determine the required return on
an asset, which is based on the proposition that
any assets required rate of return should equal the
risk-free return plus a risk premium that reflects
the assets nondiversifiable risk.
Risk premium for
Required return = Risk-free return +
systematic risk
rj
=
rRF
+
(rM rRF) ?j
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
28
Security Market Line (SML):
? A graph of the CAPM
? The line that shows the relationship between
risk as measured by beta and the required rate
of return for individual securities.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
29
Required Rate
of Return (%)
Security Market Line (SML)
SML: ri = rRF + (rM rRF)?i
.
rHigh = 17
Relatively Risky
Stocks Risk
Premium: 12%
.
rM = rA = 11
.
rLow = 8
rRF = 5
Safe Stock
Risk
Premium: 3%
Market (Average Stock)
Risk Premium: 6%
Risk-Free
Rate: 5%
0
0.5
1.0
1.5
2.0
Relevant Risk, ?j
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
30
The Impact of Inflation
? rRF is the price of money to a riskless borrower.
? The nominal rate consists of:
?
?
a real (inflation-free) rate of return, and
an inflation premium (IP)
? An increase in expected inflation would
increase the risk-free rate.
? The SML would experience a parallel, upward
shift.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
31
Changes in Risk Aversion
? The slope of the SML reflects the extent to
which investors are averse to risk.
? An increase in risk aversion increases the risk
premium, which increases the slope of the
SML.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
32
Changes in a Stocks Beta
Coefficient
? The Beta risk of a stock is affected by:
?
?
?
?
composition of its assets
use of debt financing
increased competition
expiration of patents
? Any change in the required return (from
change in beta or in expected inflation) affects
the stock price.
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
33
Stock Market Equilibrium
? The condition under which the expected return
on a security, r, is just equal to its required
return,
r?
? Actual market price equals its intrinsic value as
estimated by the average investor, which leads
to price stability; otherwise, buying or selling
in the market makes the appropriate
adjustment.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
34
Changes in Equilibrium Stock Prices
? Stock prices are not constant due to changes
in:
?
?
?
?
?
Risk-free rate, rRF,
Market risk premium, rM rRF,
Stocks beta coefficient, bs,
Stocks expected growth rate, g, and
Changes in expected dividends, D?.
t
© 2017 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license
distributed with a certain product or service or otherwise on a password-protected website for classroom use.
35
Physical Assets Versus Securities
? Riskiness of real assets is only relevant in
terms of its effect on the stocks risk.
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
36
Word of Caution
? CAPM
?
?
?
?
Based on expected conditions
Only have historical data
As conditions change, future volatility might
differ from past volatility
Estimates are subject to error
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
37
Different Types of Risk
? Systemic Risks
? Interest rates
? Inflation
? Maturity
? Liquidity
? Exchange rate
? Political
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
38
Different Types of Risk (cont.)
? Unsystemic Risks
? Business
? Financial
? Default
? Combined Risks
?
?
Total
Corporate
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
39
CHAPTER 10
PROJECT CASH
FLOWS AND RISK
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distributed with a certain product or service or otherwise on a password-protected website for classroom use.
1
Learning Outcomes
LO.1 Describe the relevant cash flows th...
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