20: Discounted Dividend Valuation Flashcards

1
Q

Dividends are appropriate as a measure of cash flow in the following cases:

A

The company has a history of dividend payments.
The dividend policy is clear and related to the earnings of the firm.
The perspective is that of a minority shareholder.

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2
Q

primary advantage of using dividends as the definition of cash flow

A

theoretically justified
dividends are less volatile than other measures

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3
Q

primary disadvantage of using dividends as the definition of cash flow

A

difficult to implement for firms that don’t currently pay dividends
takes the perspective of an investor who owns a minority stake in the firm and cannot control the dividend policy

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4
Q

three predominant definitions of future cash flows

A

dividends, free cash flow, and residual income

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5
Q

Free cash flow to the firm (FCFF)

A

cash flow generated by the firm’s operations that is in excess of the capital investment required to sustain the firm’s current productive capacity.

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6
Q

Free cash flow to equity (FCFE)

A

cash available to stockholders after funding capital requirements and expenses associated with debt financing.

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7
Q

Free cash flow models are most appropriate:

A

For firms that do not have a dividend payment history or have a dividend payment history that is not clearly and appropriately related to earnings.
For firms with free cash flow that corresponds with their profitability.
When the valuation perspective is that of a controlling shareholder.

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8
Q

Residual income

A

amount of earnings during the period that exceeds the investors’ required return

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9
Q

The residual income approach is most appropriate for:

A

Firms that do not have dividend histories.
Firms that have negative free cash flow for the foreseeable future (usually due to capital demands).
Firms with transparent financial reporting and high-quality earnings.

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10
Q

One-Period DDM

A
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11
Q

Multi-Period DDM

A
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12
Q

We can use one of several growth models, including the:

A

Gordon constant growth model.
Two-stage growth model.
H-model.
Three-stage growth model.

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13
Q

The Gordon growth model (GGM) assumes

A

dividends increase at a constant rate indefinitely

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14
Q

Example: Calculating value with the Gordon growth model

DownUnder Financial recently paid a dividend of 1.80 Australian dollars (A$). An analyst has examined the financial statements and historical dividend policy of DownUnder and expects that the firm’s dividend rate will grow at a constant rate of 3.5% indefinitely. The analyst also determines DownUnder’s beta is 1.5, the risk-free rate is 4%, and the expected return on the market portfolio is 8%. Calculate the current value of DownUnder’s shares.

A
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15
Q

Gordon growth model (GGM) formula

A
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16
Q

value of non-callable fixed-rate perpetual preferred stock.

A
17
Q

The Gordon growth model (GGM) has a number of characteristics that make it useful and appropriate for many applications

A

Is applicable to stable, mature firms

18
Q

There are also some characteristics that limit the applications of the GGM:

A

Valuations are very sensitive to estimates of r and g
The model cannot be easily applied to non-dividend-paying stocks.
Unpredictable growth patterns of some firms would make using the model difficult

19
Q

Example: Calculating PVGO

Reliable, Inc.’s shares trade at 60.00 Swiss francs (Sf) with expected earnings of Sf 5.00 per share and a required return of 10%. Suppose that the shares are properly priced, so price is equal to fundamental value. Calculate the PVGO and the portion of the leading P/E related to PVGO.

A
20
Q

present value of the growth opportunities (PVGO) formula

A
21
Q

justified leading P/E

A
22
Q

justified trailing P/E

A
23
Q

Example: Calculating justified leading and trailing P/E

Alliance, Inc., is currently selling for $16.00 on current earnings of $3.00 and a current dividend of $1.50. Dividends are expected to grow at 3.5% per year indefinitely. The risk-free rate is 4%, the market equity risk premium is 6%, and Alliance’s beta is estimated to be 1.1. Calculate the justified leading and trailing P/E ratios of Alliance, Inc.

A
24
Q

Example: Estimating terminal value

Level Partners is expected to have earnings in ten years of $12 per share, a dividend payout ratio of 50%, and a required return of 11%. At that time, the dividend growth rate is expected to fall to 4% in perpetuity, and the trailing P/E ratio is forecasted to be eight times earnings. Estimate the terminal value at the end of ten years using the Gordon growth model and the P/E multiple.

A
25
Q

Two-Stage Model Formula

A
26
Q

Example: Calculating value with a two-stage DDM

Sea Island Recreation currently pays a dividend of $1.00. An analyst forecasts growth of 10% for the next three years, followed by 4% growth in perpetuity thereafter. The required return is 12%. Calculate the current value per share.

A
27
Q

Example: Valuing a non-dividend-paying stock

Arena Distributors is a new company and currently pays no dividends. The company recently reported earnings of $1.50 per share and is expected to grow at a 15% rate for the next four years. Beginning in Year 5, Arena is expected to distribute 20% of its earnings in the form of dividends and to have a constant growth rate of 5%. The required rate of return is 12%. Calculate the value of Arena shares today.

A
28
Q

Valuation Using the H-Model

A
29
Q

Example: Calculating value with the H-model

Omega Foods currently pays a dividend of €2.00. The growth rate, which is currently 20%, is expected to decline linearly over the next ten years to a stable rate of 5% thereafter. The required return is 12%. Calculate the current value of Omega.

A
30
Q

sustainable growth rate (SGR)

A

rate at which earnings (and dividends) can continue to grow indefinitely

31
Q

SGR Formula

A

SGR = b × ROE

where:

b = earnings retention rate = 1 − dividend payout rate

ROE = return on equity

32
Q

demonstrate the use of DuPont analysis to estimate a company’s sustainable growth rate.

A
33
Q

Example: Calculating ROE and SGR

Halo Construction has been successful in a mature industry. Over the last three years, Halo has averaged a profit margin of 10%, a total asset turnover of 1.8, and a leverage ratio of 1.25. Assuming Halo continues to distribute 40% of its earnings as dividends, calculate its long-term SGR.

A

Answer:

g = P × R × A × T

g = 0.10 × (1 − 0.4) × 1.8 × 1.25 = 0.135 = 13.5%

34
Q
A