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AnIntroductionto
SecurityValuationPT 2
INVINCIBLES
StockValuation
In financial market Stock Valuation is
the method of calculating theoretical
values of companies and their stock
2
Unlike bonds, valuating common stock is more difficult
why?
• The timing and amount of future cash flows is not
known
• The life of investment is essentially forever
• There’s no way to observe the rate of return that the
market requires
3
CommonStock
Valuation
To help us value a dividend of a stock, we need
to make three simple assumptions about the
pattern of future dividend
The three cases are ,
• The dividend has zero growth rate
• The dividend grows at a constant rate
• The dividend grows at a constant rate after
some length of time
4
Common Stock Features
• The term common stock usually implies that the shareholder
has no special preference either in dividend or in bankruptcy
• Shareholders however control the corporation through their
rights to elect the directors. The directors in turn hire
management to carry out their directives.
• Directors are elected on an annual shareholders’ meeting by
a holding of a majority of shares present and entitled to vote.
5
Share holders usually have the
following rights also
Right to share proportionally in dividends
Right to share proportionally in assets remaining after
liabilities and preferred shareholders have been paid in
liquidation
Right to vote on stockholder matters of great
importance such as merger or new share
issuance
Classes of Common Stock
• Some firms have more than one class of common stock;
often, the classes are created with unequal voting rights.
• Canadian tire corporation is an example of a company
with non-voting common stock trading in the market
• Non-voting shares must receive dividends no lower than
voting shares.
• A primary reason for creating dual classes of stock has to
do with control of the firm
6
Anik Costa & Tanvir Hasan Plabon
1711033189 1710233164
7
Zero Growth Model
The zero growth dividend growth model assumes that the stock will pay the
same dividend each year, year after year.
Formula:
Po= D1/r
Example: The dividend of Denham Company, an established textile manufacture
is expected to remain constant at $3 per share indefinitely. What is the value of
Denham’s stock if the required return demanded by investors is 15%?
8
Constant Growth Model
The constant dividend growth model assumes that the stock will pay dividends
that grow at a constant rate each year , year after year forever.
Formula
Po= D1 / (r-g)
For example, consider a company that pays a $5 dividend per share, requires a
10 percent rate of return from investors and is seeing its dividend grow at a 5
percent rate . what is the value of that company share?
9
RetainedEarning
Retained earnings represent a
business cumulative earning
since its inception that if has not
paid out as dividends to
common share holders.
CostofNew
Equity
The cost of a newly issued common
stock that takes into account the
flotation cost of the new issue
11
Flotation Cost
Flotation costs are incurred by a publicly treaded company when it issues new Securities and includes expenses such as
underwriting fees legal fees and registration fees
12
The following formula is used to calculate cost of new equity:
Cost of New Equity = D1 + g
P0 × (1 − F)
Where,
D1 is dividend in next period
P0 is the issue price of a share of stock
F is the ratio of flotation cost to the issue price
g is the dividend growth rate
XY Systems raised $300 million in fresh issue of commons stocks. The issue price was $25
per share, 4% of which was paid to the investment bankers. The company is expected to
pay $2 in dividend per share next year. Dividends are expected to increase by 5% per year.
Calculate the cost of new equity and compare it to the cost of (existing) equity
Components of Required Return
13
Components of Required Return
14
Components of Required Return
15
Infinite Period Dividend
Discount Model and
Growth Companies
16
1.Dividend grow at a constant
rate.
2.The constant growth rate will
continue for an infinite period.
3.The required rate of return (k)
is greater than the infinite
growth rate (g). If it is not, the
model gives meaningless result
because the denominator
becomes negative.
Present value of
operating free cash
flow
17
In this model, you are delivering the value of the total
firm because you are discounting the operating free cash
flow prior to the payment of interest to the debt holders
but after deducting funds needed to maintain the firms
asset base(capital expenditures).Also you are discounting
the firms total operating free cash flow, you would use
the firms weighted average cist of capital(WACC)as your
discount rate. So, once you estimate the value of the total
firm, you subtract the value of debt, assuming your goal
is to estimate the value of the firms equity.
18
The total value of the firm is equal to:
Vj= ƩOFCFt/(1+WACCj)^t
Where:
Vj=Value of the firm
n=Number of periods assumed to be infinite
OFCF=Operating free cash flow at the period 't'.
WACCj=Firms 'j' Weighted average cost of capita
Present value of free
cash flows to equity
19
The third discounted cash flow technique deals with free cash flows
to equity, which would be derived after operating have been adjusted
for debt payments(interest and principal).Also, these cash flows
precede dividend payments to the common stockholder. Such cash
flows are referred to as free because they are what is left after
providing the funds needed to maintain the firms asset base(similar
to the operating free cash flow).They're specified as free cash flows to
equity because they also adjust for payments to debt holders and to
preferred stockholders. Notably, because these are cash flows
available to equity owners, the discount rate used is the firms cost of
equity (k) rather than firms WACC.
20
Vj=ƩFCFEj/(1+Kj)^t
where;
vj=value of the stock of firm j
n=number of the year assumed
to be infinite
FCFEj=the firms free cash flow
to equity in period t.
21
Price to Earnings Ratio
22
Calculation
23
Example
24
Price to Book Ratio
25
Calculation
26
Summing Up
Price/CF Ratio
27
The price-to-cash flow (also denoted as price/cash flow or P/CF)
ratio is a financial multiple that compares a company’s market value
to its operating cash flow (or the company’s stock price per share to
its operating cash flow per share)
Price-to-Sales (P/S) Ratio
The price-to-sales (P/S) ratio is a valuation ratio that
compares a company’s stock price to its revenues. It is an
indicator of the value placed on each dollar of a company’s
sales or revenues.
28

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An Introduction to Stock Valuation PT 2 Methods

  • 2. StockValuation In financial market Stock Valuation is the method of calculating theoretical values of companies and their stock 2
  • 3. Unlike bonds, valuating common stock is more difficult why? • The timing and amount of future cash flows is not known • The life of investment is essentially forever • There’s no way to observe the rate of return that the market requires 3
  • 4. CommonStock Valuation To help us value a dividend of a stock, we need to make three simple assumptions about the pattern of future dividend The three cases are , • The dividend has zero growth rate • The dividend grows at a constant rate • The dividend grows at a constant rate after some length of time 4
  • 5. Common Stock Features • The term common stock usually implies that the shareholder has no special preference either in dividend or in bankruptcy • Shareholders however control the corporation through their rights to elect the directors. The directors in turn hire management to carry out their directives. • Directors are elected on an annual shareholders’ meeting by a holding of a majority of shares present and entitled to vote. 5 Share holders usually have the following rights also Right to share proportionally in dividends Right to share proportionally in assets remaining after liabilities and preferred shareholders have been paid in liquidation Right to vote on stockholder matters of great importance such as merger or new share issuance
  • 6. Classes of Common Stock • Some firms have more than one class of common stock; often, the classes are created with unequal voting rights. • Canadian tire corporation is an example of a company with non-voting common stock trading in the market • Non-voting shares must receive dividends no lower than voting shares. • A primary reason for creating dual classes of stock has to do with control of the firm 6
  • 7. Anik Costa & Tanvir Hasan Plabon 1711033189 1710233164 7
  • 8. Zero Growth Model The zero growth dividend growth model assumes that the stock will pay the same dividend each year, year after year. Formula: Po= D1/r Example: The dividend of Denham Company, an established textile manufacture is expected to remain constant at $3 per share indefinitely. What is the value of Denham’s stock if the required return demanded by investors is 15%? 8
  • 9. Constant Growth Model The constant dividend growth model assumes that the stock will pay dividends that grow at a constant rate each year , year after year forever. Formula Po= D1 / (r-g) For example, consider a company that pays a $5 dividend per share, requires a 10 percent rate of return from investors and is seeing its dividend grow at a 5 percent rate . what is the value of that company share? 9
  • 10. RetainedEarning Retained earnings represent a business cumulative earning since its inception that if has not paid out as dividends to common share holders.
  • 11. CostofNew Equity The cost of a newly issued common stock that takes into account the flotation cost of the new issue 11
  • 12. Flotation Cost Flotation costs are incurred by a publicly treaded company when it issues new Securities and includes expenses such as underwriting fees legal fees and registration fees 12 The following formula is used to calculate cost of new equity: Cost of New Equity = D1 + g P0 × (1 − F) Where, D1 is dividend in next period P0 is the issue price of a share of stock F is the ratio of flotation cost to the issue price g is the dividend growth rate XY Systems raised $300 million in fresh issue of commons stocks. The issue price was $25 per share, 4% of which was paid to the investment bankers. The company is expected to pay $2 in dividend per share next year. Dividends are expected to increase by 5% per year. Calculate the cost of new equity and compare it to the cost of (existing) equity
  • 16. Infinite Period Dividend Discount Model and Growth Companies 16 1.Dividend grow at a constant rate. 2.The constant growth rate will continue for an infinite period. 3.The required rate of return (k) is greater than the infinite growth rate (g). If it is not, the model gives meaningless result because the denominator becomes negative.
  • 17. Present value of operating free cash flow 17 In this model, you are delivering the value of the total firm because you are discounting the operating free cash flow prior to the payment of interest to the debt holders but after deducting funds needed to maintain the firms asset base(capital expenditures).Also you are discounting the firms total operating free cash flow, you would use the firms weighted average cist of capital(WACC)as your discount rate. So, once you estimate the value of the total firm, you subtract the value of debt, assuming your goal is to estimate the value of the firms equity.
  • 18. 18 The total value of the firm is equal to: Vj= ƩOFCFt/(1+WACCj)^t Where: Vj=Value of the firm n=Number of periods assumed to be infinite OFCF=Operating free cash flow at the period 't'. WACCj=Firms 'j' Weighted average cost of capita
  • 19. Present value of free cash flows to equity 19 The third discounted cash flow technique deals with free cash flows to equity, which would be derived after operating have been adjusted for debt payments(interest and principal).Also, these cash flows precede dividend payments to the common stockholder. Such cash flows are referred to as free because they are what is left after providing the funds needed to maintain the firms asset base(similar to the operating free cash flow).They're specified as free cash flows to equity because they also adjust for payments to debt holders and to preferred stockholders. Notably, because these are cash flows available to equity owners, the discount rate used is the firms cost of equity (k) rather than firms WACC.
  • 20. 20 Vj=ƩFCFEj/(1+Kj)^t where; vj=value of the stock of firm j n=number of the year assumed to be infinite FCFEj=the firms free cash flow to equity in period t.
  • 27. Price/CF Ratio 27 The price-to-cash flow (also denoted as price/cash flow or P/CF) ratio is a financial multiple that compares a company’s market value to its operating cash flow (or the company’s stock price per share to its operating cash flow per share)
  • 28. Price-to-Sales (P/S) Ratio The price-to-sales (P/S) ratio is a valuation ratio that compares a company’s stock price to its revenues. It is an indicator of the value placed on each dollar of a company’s sales or revenues. 28