STOCKS, SHARES, EQUITY SHARES, PREFERENCE SHARES, BONDS, DEBENTURES, STOCK VALUATION, FEATURES OF COMMON STOCK, DETERMINING COMMON STOCK VALUES, EFFECTIVE MARKETS, etc.
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
This presentation covers the basics of Dividend Discount Model (DDM). Firstly, fundamental formula for valuing a stock using DDM is discussed. After that, 3 cases i.e DDM for zero growth, constant growth, and variable growth stocks, are discussed.
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
This presentation covers the basics of Dividend Discount Model (DDM). Firstly, fundamental formula for valuing a stock using DDM is discussed. After that, 3 cases i.e DDM for zero growth, constant growth, and variable growth stocks, are discussed.
The concept of the Security Market Line is very popular for portfolio management. It helps to derive the pricing of risky securities by plotting their expected returns.
To know more about it, click on the link given below:
https://efinancemanagement.com/investment-decisions/security-market-line
Fixed Income securities- Analysis and Valuation. Very useful for CFA and FRM level 1 preparation candidates. For a more detailed understanding, you can watch the webinar video on this topic. The link for the webinar video on this topic is https://www.youtube.com/watch?v=r9j6Bu3aUNI
Capital Asset Pricing Model (CAPM)
A model that describes the relationship between risk and expected return. The general idea behind CAPM is that investors need to be compensated in two ways: time value of money & risk. The time value of money is represented by the risk-free (rf) rate in the formula and compensates the investors for placing money in any investment over a period of time. The other half of the formula represents risk and calculates the amount of compensation the investor needs for taking on additional risk. This is calculated by taking a risk gauge (beta) that compares the returns of the asset to the market over a period of time and to the market premium (Rm-rf).
Dividend Policy resolves two questions:
Question 1: Does dividend policy affect firm value?
Question 2: If so, What is the optimal level of distribution ratio i.e., % Net Income to be distributed as dividend (Payout ratio). These issues are discussed under Irrelevance Theories (Modigliani and Miller’s Model) and
Relevance Theories (Walter’s Model , Gordon’s Model)
The concept of the Security Market Line is very popular for portfolio management. It helps to derive the pricing of risky securities by plotting their expected returns.
To know more about it, click on the link given below:
https://efinancemanagement.com/investment-decisions/security-market-line
Fixed Income securities- Analysis and Valuation. Very useful for CFA and FRM level 1 preparation candidates. For a more detailed understanding, you can watch the webinar video on this topic. The link for the webinar video on this topic is https://www.youtube.com/watch?v=r9j6Bu3aUNI
Capital Asset Pricing Model (CAPM)
A model that describes the relationship between risk and expected return. The general idea behind CAPM is that investors need to be compensated in two ways: time value of money & risk. The time value of money is represented by the risk-free (rf) rate in the formula and compensates the investors for placing money in any investment over a period of time. The other half of the formula represents risk and calculates the amount of compensation the investor needs for taking on additional risk. This is calculated by taking a risk gauge (beta) that compares the returns of the asset to the market over a period of time and to the market premium (Rm-rf).
Dividend Policy resolves two questions:
Question 1: Does dividend policy affect firm value?
Question 2: If so, What is the optimal level of distribution ratio i.e., % Net Income to be distributed as dividend (Payout ratio). These issues are discussed under Irrelevance Theories (Modigliani and Miller’s Model) and
Relevance Theories (Walter’s Model , Gordon’s Model)
1CHAPTER 7Stocks, Stock Valuation, and Stock Market Equili.docxhyacinthshackley2629
1
CHAPTER 7
Stocks, Stock Valuation, and
Stock Market Equilibrium
2
Topics in Chapter
Features of common stock
Valuing common stock
Preferred stock
Stock market equilibrium
Efficient markets hypothesis
Implications of market efficiency for financial decisions
1
ValueStock = + + +
D1
D2
D∞
(1 + rs )1
(1 + rs)∞
(1 + rs)2
Dividends (Dt)
Market interest rates
Firm’s business risk
Market risk aversion
Firm’s debt/equity mix
Cost of
equity (rs)
Free cash flow
(FCF)
The Big Picture:
The Intrinsic Value of Common Stock
...
For value box in Ch 4 time value FM13.
4
Common Stock: Owners, Directors, and Managers
Represents ownership.
Ownership implies control.
Stockholders elect directors.
Directors hire management.
Since managers are “agents” of shareholders, their goal should be: Maximize stock price.
5
Classified Stock
Classified stock has special provisions.
Could classify existing stock as founders’ shares, with voting rights but dividend restrictions.
New shares might be called “Class A” shares, with voting restrictions but full dividend rights.
6
Tracking Stock
The dividends of tracking stock are tied to a particular division, rather than the company as a whole.
Investors can separately value the divisions.
Its easier to compensate division managers with the tracking stock.
But tracking stock usually has no voting rights, and the financial disclosure for the division is not as regulated as for the company.
7
Different Approaches for Valuing Common Stock
Dividend growth model
Constant growth stocks
Nonconstant growth stocks
Free cash flow method (covered in Chapter 11)
Using the multiples of comparable firms
8
Stock Value = PV of Dividends
What is a constant growth stock?
One whose dividends are expected to grow forever at a constant rate, g.
P0 =
^
(1 + rs)1 (1 + rs)2 (1 + rs)3 (1 + rs)∞
D1 D2 D3 D∞
+
+
+ … +
9
For a constant growth stock:
D1 = D0(1 + g)1
D2 = D0(1 + g)2
Dt = D0(1 + g)t
If g is constant and less than rs, then:
P0 =
^
D0(1 + g)
rs – g
=
D1
rs – g
10
Dividend Growth and PV of Dividends: P0 = ∑(PV of Dt)
$
0.25
Years (t)
Dt = D0(1 + g)t
PV of Dt =
Dt
(1 + r)t
If g > r, P0 = ∞ !
11
What happens if g > rs?
P0 =
^
(1 + rs)1 (1 + rs)2 (1 + rs)∞
D0(1 + g)1 D0(1 + g)2 D0(1 + rs)∞
+
+ … +
(1 + g)t
(1 + rs)t
P0 = ∞
^
> 1, and
So g must be less than rs for the constant growth model to be applicable!!
If g > rs, then
12
Required rate of return: beta = 1.2, rRF = 7%, and RPM = 5%.
rs = rRF + (RPM)bFirm
= 7% + (5%)(1.2)
= 13%.
Use the SML to calculate rs:
13
Projected Dividends
D0 = $2 and constant g = 6%
D1 = D0(1 + g) = $2(1.06) = $2.12
D2 = D1(1 + g) = $2.12(1.06) = $2.2472
D3 = D2(1 + g) = $2.2472(1.06) = $2.3820
11
14
Expected Div.
Slide 1
7-1
Cash Flows for Stockholders
• If you own a share of stock, you can receive
cash in two ways
The company pays dividends
You sell your shares, either to another investor in
the market or back to the company
• As with bonds, the price of the stock is the
present value of these expected cash flows
Dividends → cash income
Selling → capital gains
In this module, we turn to the other major source of financing for corporations, common and preferred stock.
The goal of financial management is to maximize stock prices, so an understanding of what determines
share values is obviously a key concern. The dividends currently being paid are one of the primary factors
we look at when we attempt to value common stocks. This module explores dividends, stock values, and
the connection between the two.
A share of common stock is more difficult to value in practice than a bond, for at least three reasons.
First, with common stock, not even the promised cash flows are known in advance.
Second, the life of the investment is essentially forever, since common stock has no maturity.
Third, there is no way to easily observe the rate of return that the market requires.
However, we can come up with the present value of the future cash flows for a share of stock making some
assumptions.
Slide 2
7-2
One Period Example
• Suppose you are thinking of purchasing the
stock of Moore Oil, Inc.
– You expect it to pay a $2 dividend in one year
– You believe you can sell the stock for $14 at that
time.
– You require a return of 20% on investments of this
risk
– What is the maximum you would be willing to
pay?
Slide 3
7-3
One Period Example
• D1 = $2 dividend expected in one year
• R = 20%
• P1 = $14
• CF1 = $2 + $14 = $16
• Compute the PV of the expected cash flows
33.13$
20.1
)142(
P
0
Note, the calculation can also be done as:
FV = 14; PMT = 2; I/Y = 20; N = 1; CPT PV = -13.33
Slide 4
7-4
Two Period Example
• What if you decide to hold the stock for two years?
– In addition to the dividend in one year, you expect a
dividend of $2.10 in two years and a stock price of
$14.70 at the end of year 2.
– Now how much would you be willing to pay?
33.13$
)20.1(
)70.1410.2(
20.1
2
P
20
Calculator: CF0 = 0; C01 = 2; F01 = 1; C02 = 16.80; F02 = 1; NPV; I =
20; CPT NPV = 13.33
We can use uneven cash flow keys.
Slide 5
7-5
Three Period Example
• What if you decide to hold the stock for three
years?
– In addition to the dividends at the end of years 1 and 2,
you expect to receive a dividend of $2.205 at the end of
year 3 and the stock price is expected to be $15.435.
– Now how much would you be willing to pay?
33.13$
)20.1(
)435.15205.2(
)20.1(
10.2
20.1
2
P
320
Calcultator: CF0 = 0; C01 = 2; F01 = 1; C02 = 2.10; F02 = 1; C03 = 17.64;
F03 = 1; NPV; I = 20; CPT NPV = 13.33
Slide 6
7-6
Devel.
09 Chapter modelChapter 9. Stocks and Their Valuation (Models)Thi.docxhoney725342
09 Chapter modelChapter 9. Stocks and Their Valuation (Models)This model is similar to the bond valuation models developed in Chapter 7 in that we employ discounted cash flow analysis to find the value of a firm's stock.THE DISCOUNTED DIVIDEND MODEL (Section 9-4)The value of any financial asset is equal to the present value of future cash flows provided by the asset. Stocks can be evaluated in two ways: (1) by finding the present value of the expected future dividends, or (2) by finding the present value of the firm's expected future free cash flows, subtracting the market value of the debt and preferred stock to find the total value of the common equity, and then dividing that total value by the number of shares outstanding to find the value per share. Both approaches are examined in this spreadsheet.When an investor buys a share of stock, he/she typically expects to receive cash in the form of dividends and then, eventually, to sell the stock and to receive cash from the sale. Moreover, the price any investor receives is dependent upon the dividends the next investor expects to earn, and so on for different generations of investors. The basic dividend valuation equation is:P0 =D1+D2+. . . .Dn( 1 + rs )( 1 + rs ) 2( 1 + rs ) nThe dividend stream theoretically extends on out forever, i.e., n = infinity. It would not be feasible to deal with an infinite stream of dividends, but if dividends are expected to grow at a constant rate, we can use the constant growth equation as developed in the text to find the value.CONSTANT GROWTH STOCKS (Section 9-5)In the constant growth model, we assume that the dividend will grow forever at a constant growth rate. This is a very strong assumption, but for stable, mature firms, it can be reasonable to assume that the firm will experience some ups and downs throughout its life but those ups and downs balance each other out and result in a long-term constant rate. In addition, we assume that the required return for the stock is a constant. With these assumptions, the price equation for a common stock simplifies to the following expression:P 0 =D 1( r s − g )The long-run growth rate (g) is especially difficult to measure, but one approximates this rate by multiplying the firm's return on equity by the fraction of earnings retained, ROE x
(1 – Payout ratio). Generally speaking, the long-run growth rate is likely to fall between 5% and 8%.EXAMPLEAllied Food Products just paid a dividend of $1.15, and the dividend is expected to grow at a constant rate of 8.3%. What stock price is consistent with these numbers, assuming a 13.7% required return?D0$2.15g8.3%rs13.7%P0 =D1=D0 (1+g)=$2.33( rs − g )( rs − g )0.054P0 =$43.12STOCK PRICE SENSITIVITYOne of the keys to understanding stock valuation is knowing how various factors affect the stock price. We construct below a series of data tables and a graph to show how the stock price is affected by changes in the dividend, the growth rate, and rs. R ...
A business is usually defined as a commercial enterprise
Some are run by only one person who carry out all of the required functions
Others employ thousands of people and provide goods and services to people all over the world
Each business can be defined or described by its type of Ownership, the goods produced or services offered, the types of jobs provided, or the functions
it performs in a community
A case study is a detailed study of a specific subject, such as a person, group, place, event, organization, or phenomenon. Case studies are commonly used in social, educational, clinical, and business research
Human transformation is an internal shift that brings us in alignment with our highest potential. It is at the heart of every major aspect of our lives. It affects how we see and relate to the world and how we understand our place in it.
Entrepreneurship is the ability and readiness to develop, organize and run a business enterprise, along with any of its uncertainties in order to make a profit. The most prominent example of entrepreneurship is the starting of new businesses.
What Is Entrepreneurship
In economics, entrepreneurship connected with land, labour, natural resources and capital can generate a profit. The entrepreneurial vision is defined by discovery and risk-taking and is an indispensable part of a nation’s capacity to succeed in an ever-changing and more competitive global marketplace.
The entrepreneur is defined as someone who has the ability and desire to establish, administer and succeed in a startup venture along with risk entitled to it, to make profits. The best example of entrepreneurship is the starting of a new business venture. The entrepreneurs are often known as a source of new ideas or innovators, and bring new ideas in the market by replacing old with a new invention.
It can be classified into small or home business to multinational companies. In economics, the profits that an entrepreneur makes is with a combination of land, natural resources, labour and capital.
In a nutshell, anyone who has the will and determination to start a new company and deals with all the risks that go with it can become an Entrepreneur.
The word ‘Research’ is comprised of two words Re + Search.
It means to search again. So research means a systematic investigation or activity to gain new knowledge of the already existing facts.
MS-WORD is a part of the bigger package called MS OFFICE, which can do much more than word processing. fact when you open up MS OFFICE you will find four main components in it.
They are MS-WORD (for word processing), MS EXCEL (for spreadsheet), MS ACCESS (for database management), and MS POWERPOINT (for presentation purposes). However, we will limit ourselves to MS-WORD only in this presentation.
PROJECT REPORT, PROJECT REPORT ON COLD STORAGE, PROJECT FINANCE, CAPACITY, TOTAL CAPITAL INVESTMENT, COOL CHAMBER, CAPACITY UTILIZATION, METHODS OF STORAGE, PATTERN OF ASSISTANCE, BASIC DESIGN OF THE COLD ROOM, ANALYSIS OF COST OF COOL CHAMBER, etc.
PROJECT FINANCE, INTRODUCTION, CONCEPT OF PROJECT, TYPES OF PROJECT, MEANING OF PROJECT FINANCING, FEATURES OF PROJECT FINANCING, ADVANTAGES OF PROJECT FINANCING, DISADVANTAGES OF PROJECT FINANCING, etc.
LINEAR ALGEBRA, WITH OPTIMIZATION; VECTORS & MATRICES, LINEAR SUB-SPACES, LINEAR INDEPENDENCE & DIMENSION; MATRIX SUB-SPACES, MATRIX RANK, MATRIX INVERSE, SYSTEMS OF EQUATIONS, etc.
BUSINESS STUDIES PROJECT ON PRINCIPLES OF MANAGEMENTCHARAK RAY
BUSINESS STUDIES PROJECT ON PRINCIPLES OF MANAGEMENT, BUSINESS STUDIES PROJECT REPORT ON PRINCIPLES OF MANAGEMENT, BUSINESS STUDIES PROJECT REPORT ON PRINCIPLES OF MANAGEMENT OF A SWEETS MAKING COMPANY.
BUSINESS STUDIES PROJECT ON MARKETING MANAGEMENTCHARAK RAY
BUSINESS STUDIES PROJECT ON MARKETING MANAGEMENT, BUSINESS STUDIES PROJECT REPORT ON MARKETING MANAGEMENT, BUSINESS STUDIES PROJECT ON MARKETING MANAGEMENT OF A PIZZA MAKING COMPANY.
Financial Assets: Debit vs Equity Securities.pptxWrito-Finance
financial assets represent claim for future benefit or cash. Financial assets are formed by establishing contracts between participants. These financial assets are used for collection of huge amounts of money for business purposes.
Two major Types: Debt Securities and Equity Securities.
Debt Securities are Also known as fixed-income securities or instruments. The type of assets is formed by establishing contracts between investor and issuer of the asset.
• The first type of Debit securities is BONDS. Bonds are issued by corporations and government (both local and national government).
• The second important type of Debit security is NOTES. Apart from similarities associated with notes and bonds, notes have shorter term maturity.
• The 3rd important type of Debit security is TRESURY BILLS. These securities have short-term ranging from three months, six months, and one year. Issuer of such securities are governments.
• Above discussed debit securities are mostly issued by governments and corporations. CERTIFICATE OF DEPOSITS CDs are issued by Banks and Financial Institutions. Risk factor associated with CDs gets reduced when issued by reputable institutions or Banks.
Following are the risk attached with debt securities: Credit risk, interest rate risk and currency risk
There are no fixed maturity dates in such securities, and asset’s value is determined by company’s performance. There are two major types of equity securities: common stock and preferred stock.
Common Stock: These are simple equity securities and bear no complexities which the preferred stock bears. Holders of such securities or instrument have the voting rights when it comes to select the company’s board of director or the business decisions to be made.
Preferred Stock: Preferred stocks are sometime referred to as hybrid securities, because it contains elements of both debit security and equity security. Preferred stock confers ownership rights to security holder that is why it is equity instrument
<a href="https://www.writofinance.com/equity-securities-features-types-risk/" >Equity securities </a> as a whole is used for capital funding for companies. Companies have multiple expenses to cover. Potential growth of company is required in competitive market. So, these securities are used for capital generation, and then uses it for company’s growth.
Concluding remarks
Both are employed in business. Businesses are often established through debit securities, then what is the need for equity securities. Companies have to cover multiple expenses and expansion of business. They can also use equity instruments for repayment of debits. So, there are multiple uses for securities. As an investor, you need tools for analysis. Investment decisions are made by carefully analyzing the market. For better analysis of the stock market, investors often employ financial analysis of companies.
how to swap pi coins to foreign currency withdrawable.DOT TECH
As of my last update, Pi is still in the testing phase and is not tradable on any exchanges.
However, Pi Network has announced plans to launch its Testnet and Mainnet in the future, which may include listing Pi on exchanges.
The current method for selling pi coins involves exchanging them with a pi vendor who purchases pi coins for investment reasons.
If you want to sell your pi coins, reach out to a pi vendor and sell them to anyone looking to sell pi coins from any country around the globe.
Below is the what'sapp information for my personal pi vendor.
+12349014282
when will pi network coin be available on crypto exchange.DOT TECH
There is no set date for when Pi coins will enter the market.
However, the developers are working hard to get them released as soon as possible.
Once they are available, users will be able to exchange other cryptocurrencies for Pi coins on designated exchanges.
But for now the only way to sell your pi coins is through verified pi vendor.
Here is the what'sapp contact of my personal pi vendor
+12349014282
Yes of course, you can easily start mining pi network coin today and sell to legit pi vendors in the United States.
Here the what'sapp contact of my personal vendor.
+12349014282
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Seminar: Gender Board Diversity through Ownership NetworksGRAPE
Seminar on gender diversity spillovers through ownership networks at FAME|GRAPE. Presenting novel research. Studies in economics and management using econometrics methods.
how to sell pi coins in South Korea profitably.DOT TECH
Yes. You can sell your pi network coins in South Korea or any other country, by finding a verified pi merchant
What is a verified pi merchant?
Since pi network is not launched yet on any exchange, the only way you can sell pi coins is by selling to a verified pi merchant, and this is because pi network is not launched yet on any exchange and no pre-sale or ico offerings Is done on pi.
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STREETONOMICS: Exploring the Uncharted Territories of Informal Markets throug...sameer shah
Delve into the world of STREETONOMICS, where a team of 7 enthusiasts embarks on a journey to understand unorganized markets. By engaging with a coffee street vendor and crafting questionnaires, this project uncovers valuable insights into consumer behavior and market dynamics in informal settings."
Abhay Bhutada Leads Poonawalla Fincorp To Record Low NPA And Unprecedented Gr...Vighnesh Shashtri
Under the leadership of Abhay Bhutada, Poonawalla Fincorp has achieved record-low Non-Performing Assets (NPA) and witnessed unprecedented growth. Bhutada's strategic vision and effective management have significantly enhanced the company's financial health, showcasing a robust performance in the financial sector. This achievement underscores the company's resilience and ability to thrive in a competitive market, setting a new benchmark for operational excellence in the industry.
Turin Startup Ecosystem 2024 - Ricerca sulle Startup e il Sistema dell'Innov...Quotidiano Piemontese
Turin Startup Ecosystem 2024
Una ricerca de il Club degli Investitori, in collaborazione con ToTeM Torino Tech Map e con il supporto della ESCP Business School e di Growth Capital
3. COMMON STOCK: OWNERS, DIRECTORS, AND
MANAGERS
• Represents ownership.
• Ownership implies control.
• Stockholders elect directors.
• Directors hire management.
• Since managers are “agents” of shareholders, their goal should be:
Maximize stock price.
4. VALUES OF A COMMON STOCK
Book Value: Accounting value, Historical value =
Net worth/ shares outstanding
Par Value: Face Value of stock on which dividends
and earnings calculated
Issue Price: Par value or Par value + Premium
5. CONTINUED
Liquidation Value: Earnings available to share holders after meeting prior
claims like debts on liquidation
Market Value: Price at which traded in the market
Real Value/ Intrinsic Value: PV of all future benefits if shares are held.
6. DECISION CRITERIA
If MV > IV – Sell, shares overpriced
If MV < IV, Buy, shares under-priced
Logic
In efficient market, the MV closely reflects IV or
fundamental value.
Larger the difference, the investor would take
position on estimate of IV.
7. CONTINUED
More confidant the investor is about the valuation
model, the decision based on whether share
under-priced/over-priced.
Overpricing / under-pricing called mispricing in
the market.
Rational investors belief, market price would move
towards the IV in a fairly efficient market.
8. COMPLEXITIES IN STOCK VALUATION
Future benefits come from dividend, capital gain and
bonus issue.
In a share, each component is uncertain.
Benefits have to be fairly estimated.
No single tool / method can be appropriate.
All methods used are at best approximations.
Practically, multiple methods used to derive a
reasonably a better estimate.
9. APPROACHES TO VALUATION
Discounted cash flow or PV models:
Dividend discount model : based on cash
distributed to share holders
Free cash flow to equity model: based on cash
available to share holders
Multiplier models: Market multiplier models based on
Ratio of stock price to fundamentals like earnings,
sells, book value etc.
10. CONTINUED…
Enterprise Value model:
Market value of outstanding securities – cash, short term Investments
Common stock Value: Enterprise Value – value of long term liabilities and
preferred stocks.
11. DIVIDEND DISCOUNT MODEL
ssss r
D
r
D
r
D
r
D
P
1
...
111
ˆ
3
3
2
2
1
1
0
One whose dividends are expected to
grow forever at a constant rate, g.
Stock Value = PV of Dividends
What is a constant growth stock?
12. FOR A CONSTANT GROWTH STOCK,
t
tt gDD
gDD
gDD
1
1
1
2
02
1
01
gr
D
gr
gD
P
ss
10
0
1ˆ
If g is constant, then:
13. WHAT HAPPENS IF G > RS?
• If rs< g, get negative stock price, which is nonsense.
• We can’t use model unless (1) g rs and (2) g is expected to be constant
forever. Because g must be a long-term growth rate, it cannot be rs.
.rrequiresˆ
s
1
0 g
gr
D
P
s
14. ASSUME BETA = 1.2, KRF = 7%, AND RPM = 5%.
WHAT IS THE REQUIRED RATE OF RETURN ON
THE FIRM’S STOCK?
ks = kRF + (RPM)bFirm
= 7% + (5%) (1.2)
= 13%.
Use the SML to calculate ks:
15. D0 WAS $2.00 AND G IS A CONSTANT 6%. FIND
THE EXPECTED DIVIDENDS FOR THE NEXT 3 YEARS,
AND THEIR PVS. RS = 13%.
0 1
2.2472
2
2.3820
3g=6% 4
1.8761
1.7599
1.6508
D0=2.00
13%
2.12
16. WHAT’S THE STOCK’S MARKET VALUE?
D0 = 2.00, RS = 13%, G = 6%.
Constant growth model:
gr
D
gr
gD
P
ss
10
0
1ˆ
= = $30.29.
0.13 - 0.06
$2.12 $2.12
0.07
17. WHAT IS THE STOCK’S MARKET VALUE ONE YEAR
FROM NOW, P1?
• D1 will have been paid, so expected dividends are D2, D3, D4 and so on. Thus,
^
D2
P1 = rs - g
= $2.2427 = $32.10
0.07
18. FIND THE EXPECTED DIVIDEND YIELD AND CAPITAL
GAINS YIELD DURING THE FIRST YEAR.
Dividend yield = = = 7.0%.
$2.12
$30.29
D1
P0
CG Yield = =
P1 - P0
^
P0
$32.10 - $30.29
$30.29
= 6.0%.
19. FIND THE TOTAL RETURN DURING THE
FIRST YEAR.
• Total return = Dividend yield + Capital gains yield.
• Total return = 7% + 6% = 13%.
• Total return = 13% = rs.
• For constant growth stock:
Capital gains yield = 6% = g.
20. Rearrange model to rate of return form:
.rtoˆ
0
1
s
1
0 g
P
D
gr
D
P
s
Then, rs = $2.12/$30.29 + 0.06
= 0.07 + 0.06 = 13%.
^
21. WHAT WOULD P0 BE IF G = 0?
The dividend stream would be a
perpetuity.
2.00 2.002.00
0 1 2 3rs=13%
P0 = = = $15.38.
PMT
r
$2.00
0.13
^
22. IF WE HAVE SUPERNORMAL GROWTH OF
30% FOR 3 YEARS, THEN A LONG-RUN CONSTANT G
= 6%, WHAT IS P0? R IS STILL 13%.
• Can no longer use constant growth model.
• However, growth becomes constant after 3 years.
^
23. Nonconstant growth followed by constant
growth:
0
2.3009
2.6470
3.0453
46.1135
1 2 3 4rs=13%
54.1067 = P0
g = 30% g = 30% g = 30% g = 6%
D0 = 2.00 2.60 3.38 4.394 4.6576
^
5371.66$
06.013.0
6576.4$
Pˆ
3
24. WHAT IS THE EXPECTED DIVIDEND YIELD AND
CAPITAL GAINS YIELD AT T = 0? AT T = 4?
Dividend yield = = = 4.8%.
$2.60
$54.11
D1
P0
CG Yield = 13.0% - 4.8% = 8.2%.
At t = 0:
(More…)
25. • During nonconstant growth, dividend yield and capital gains yield are not constant.
• If current growth is greater than g, current capital gains yield is greater than g.
• After t = 3, g = constant = 6%, so the t = 4 capital gains gains yield = 6%.
• Because rs = 13%, the t = 4 dividend yield = 13% - 6% = 7%.
26. IS THE STOCK PRICE BASED ON
SHORT-TERM GROWTH?
• The current stock price is $54.11.
• The PV of dividends beyond year 3 is $46.11 (P3 discounted back to t = 0).
• The percentage of stock price due to “long-term” dividends is:
^
= 85.2%.
$46.11
$54.11
27. SUPPOSE G = 0 FOR T = 1 TO 3, AND THEN G IS
A CONSTANT 6%. WHAT IS P0?
0
1.7699
1.5663
1.3861
20.9895
1 2 3 4
rs=13%
25.7118
g = 0% g = 0% g = 0% g = 6%
2.00 2.00 2.00 2.12
2.12
.
P3
0 07
30.2857
^
...
28. WHAT IS DIVIDEND YIELD AND CAPITAL GAINS
YIELD AT T = 0 AND AT T = 3?
t = 0:
D1
P0
CGY = 13.0% - 7.8% = 5.2%.
2.00
$25.72
7.8%.
t = 3: Now have constant growth with
g = capital gains yield = 6% and
dividend yield = 7%.
29. IF G = -6%, WOULD ANYONE BUY THE STOCK?
IF SO, AT WHAT PRICE?
Firm still has earnings and still pays
dividends, so P0 > 0:
gr
D
gr
gD
P
ss
10
0
1ˆ
^
= = = $9.89.
$2.00(0.94)
0.13 - (-0.06)
$1.88
0.19
30. WHAT ARE THE ANNUAL DIVIDEND
AND CAPITAL GAINS YIELD?
Capital gains yield = g = -6.0%.
Dividend yield = 13.0% - (-6.0%)
= 19.0%.
Both yields are constant over time, with the
high dividend yield (19%) offsetting the
negative capital gains yield.
31. WHY ARE STOCK PRICES VOLATILE?
gr
D
0
P
s
1
rs = rRF + (RPM)bi could change.
Inflation expectations
Risk aversion
Company risk
g could change.
^
32. STOCK VALUE VS. CHANGES IN RS AND G
D1 = $2, rs = 10%, and g = 5%:
P0 = D1 / (rs-g) = $2 / (0.10 - 0.05) = $40.
What if rs or g change?
g g g
rs 4% 5% 6%
9% 40.00 50.00 66.67
10% 33.33 40.00 50.00
11% 28.57 33.33 40.00
33. WHAT IS MARKET EQUILIBRIUM?
In equilibrium, stock prices are stable.
There is no general tendency for
people to buy versus to sell.
The expected price, P, must equal the
actual price, P. In other words, the
fundamental value must be the same as
the price.
(More…)
34. In equilibrium, expected returns must
equal required returns:
rs = D1/P0 + g = rs = rRF + (rM - rRF)b.^
35. HOW IS EQUILIBRIUM ESTABLISHED?
If rs = + g > rs, then P0 is “too low.”
If the price is lower than the fundamental
value, then the stock is a “bargain.”
Buy orders will exceed sell orders, the price
will be bid up, and D1/P0 falls until
D1/P0 + g = rs = rs.
^
^
D1
P0
^
38. USING THE STOCK PRICE MULTIPLES TO ESTIMATE
STOCK PRICE
• Analysts often use the P/E multiple (the price per
share divided by the earnings per share) or the P/CF
multiple (price per share divided by cash flow per
share, which is the earnings per share plus the
dividends per share) to value stocks.
• Example:
• Estimate the average P/E ratio of comparable
firms. This is the P/E multiple.
• Multiply this average P/E ratio by the expected
earnings of the company to estimate its stock
price.
41. P/E BASED ON FUNDAMENTALS
• Firms has payout ratio = 60%
• Required rate of return = 11%
• Expected dividend growth rate = g = 5%
• Firm’s justified P/E ratio = 0.6/0.11-0.05 = 10
• Serves as a benchmark for comparison.
• If the firms actual P/E ratio is16.
• Stock considered to the overvalued
• Based on the formula: P0 = D1/ E1
E1 k-g
Continue…………..
42. FUNDAMENTAL P/E RATIO COMPARISON.
Company Industry Average
D/P ratio 25% 16%
Sales Growth 7.5% 3.9%
Total Debt/Equity 113% 68%
43. WHICH FACTORS SUGGEST A HIGHER FUNDAMENTAL P/E
FOR THE COMPANY.
High D/P ratio suggest a high P/E ratio.
High growth in sales suggest high dividend, high P/E.
High level of debt indicates high risk and higher RoE
which supports lower P/E than industry.
In practice increase in D/E will reduce ‘g’ which dividend
increases
values ‘g’ reduces value.
The phenomenon is called dividend displacement of
earnings.
Continue…………..
44. VALUATION USING COMPARABLES
Year end 2013 2012 2011
Stock holders Eq. 55.6 54.1 52.6
Net revenue 77.3 73.6 70.8
Net income 3.2 1.1 0.40
Net CFO 17.9 15.2 12.2
Stock price 11.4 14.4 12.05
Share outstanding 4.476 3.994 3.823
Continue…………..
45. INDUSTRY RATIO
P/E – 8.6
Price to cash flow – 4.6
Price to sales – 1.4
Price to book value -3.6
2013 2012 2011 Industry Company Avg
P/E 15.9 52.3 115.2 8.6 61.1
P/CF 2.9 3.8 3.8 4.6 3.5
P/S 0.7 0.8 0.7 1.4 0.7
P/B 0.9 1.1 0.9 3.6 1.0
Continue…………..
46. High P/E of the company may be due to depressed earnings due to high
depreciation, high taxes, high interest etc.
Calculating P/EBITD would be a better measure as it is unaffected by above
expenses.
On the whole, low ratios of the company suggest company may be currently under
valued.
Continue…………..
47. USING ENTITY MULTIPLES
• The Entity value (V) is:
• the market value of equity (# shares of stock
multiplied by the price per share)
• plus the value of debt.
• Pick a measure, such as EBITDA, Sales,.
• Calculate the average entity ratio for a sample of
comparable firms. For example,
• V/EBITDA
48. USING ENTITY MULTIPLES (CONTINUED)
• Find the entity value of the firm in question. For
example,
• Multiply the firm’s sales by the V/Sales multiple.
The result is the total value of the firm.
• Subtract the firm’s debt to get the total value of
equity.
• Divide by the number of shares to get the price per
share.
49. EXAMPLE ON ENTERPRISE VALUE
Daniel is a manufacturer of home appliances
the following are the figures:
Stock price 30.00
Shares outstanding 3,00,000
MV of LTD 8,00,000
book value of LTD 11,00,000
book value of total Debt 26,00,000
Cash and marketable security 3,00,000
EBITD 12,00,000
Continue…………..
50. Calculate EV/EBITD .
Book value of TD 26,00,000
Less Book value of LTD 11,00,000
Book value of STD 15,00,000
Assume Mkt. value of STD = Book value of STD
Mkt. value of TD = value of LTD + value of STD
= 8,00,000+ 15,00,000 =23,00,000
Continue…………..
51. Mkt. value of Eq = 30*3,00,000 = 90,00,000
Enterprise Value = Value of Debt + Value of Equity – cash
= 23,00,000 + 90,00,000 - 3,00,000 =
110,00,000
EV/EBITD = 9.2
If the industry avg. is more than 9.2 Daniel is under valued.
Continue…………..
52. EXAMPLE ON ASSET BASED MODEL
Willams optical is a publicly traded firm.
An analyst estimates that MV of net fixed assets is 120%
of Book value.
Liabilities and short term asset market values are close
to their Book value
Shares outstanding 2,000
Following Information is Available
Continue…………..
53. Cash - 10,000 A/P – 5,000
A/R - 20,000 N/P – 30,000
Inv - 50,000 Term loan – 45,000
NFA - 1,20,000 Equity – 1,20,000
TA 2,00,000 2,00,000
Calculate Equity Value per Share
Continue…………..
54. Market value of Assets =
10,000+20,000+50,000+1,20,000 (1.2)=2,24,000
Market value of Liabilities =
5,000+30,000+45,000=80,000
Adjusted Equity value → 2,24,000- 80,000 = 1,44,000
No. of share outstanding = 2,000
Value per share = 72.00
Continue…………..
55. WHAT’S THE EFFICIENT MARKET
HYPOTHESIS (EMH)?
Securities are normally in equilibrium
and are “fairly priced.” One cannot
“beat the market” except through
good luck or inside information.
(More…)
56. PREFERRED STOCK
• Hybrid security.
• Similar to bonds in that preferred stockholders receive a fixed dividend which
must be paid before dividends can be paid on common stock.
• However, unlike bonds, preferred stock dividends can be omitted without fear of
pushing the firm into bankruptcy.
57. WHAT’S THE EXPECTED RETURN ON PREFERRED
STOCK WITH VPS = $50 AND ANNUAL DIVIDEND =
$5?
%.0.1010.0
50$
5$
5$
50$
ps
ps
ps
r
r
V
59. 1. Weak-form EMH:
Can’t profit by looking at past trends. A
recent decline is no reason to think
stocks will go up (or down) in the future.
Evidence supports weak-form EMH, but
“technical analysis” is still used.
60. 2. Semistrong-form EMH:
All publicly available information is
reflected in stock prices, so it doesn’t
pay to pore over annual reports
looking for undervalued stocks.
Largely true.
61. 3. Strong-form EMH:
All information, even inside
information, is embedded in stock
prices. Not true--insiders can gain
by trading on the basis of insider
information, but that’s illegal.