19 Dividends and Dividend Valuation Models Flashcards
How do dividends relate to the distribution of wealth
- Links to focus on increasing shareholder wealth
- Dividend policy will affect company value
- How it is split between RE and dividends
- As RE are reinvested and creates a growth of earnings
What is the formula for the Gordon Growth Model
- A more realistic case is where a constant proportion of each year’s earnings are retained. This is Dynamic Growth
- A model which can be used to value the equity of a company in a dynamic situation is known as the Gordon’s dividend growth model
V = D / (ke - g)
Or
ke = D / (V + g) - Where g is the growth rate
What is the modified Gordon Growth Model assuming dividends are continually discounted
V0 = D0 / (ke - g)
What is the modified Gordon Growth Model assuming dividends are discretely discounted
V0 = D1 / (ke - g)
- The rate of growth, g, in dividends is defined as:
g = b×r where:
b = proportion of Earnings (E) retained so
1 – b = proportion of E distributed and
E ( 1 – b ) = dividends
r = the rate of return on reinvestment
What determines the growth rate of dividends
- The amount of earnings retained for investment
- The rate of return earned on those retained earnings
- The rate of return earned on existing assets
How does rate of return relate to Ke
- The rate of return on reinvestments should be greater or equal to Ke .
- If this was not the case we would be earning less than the required rate of return and it would not be in the best interest of shareholders to reinvest earnings.
- Objective is to maximise shareholder wealth this would not be achieved if earnings were being reinvested at rates below Ke
What is expansion and how does it link returns to Ke
- If r = KE , we would have what is called expansion rather than growth
- Expansion is where the company reinvests at the cost of capital, i.e. it has more and more assets, but continues to earn the same rate of return.
- New assets producing same rate of return
What is growth and how does it relate to Ke and returns
- Growth is where a company has opportunities to invest at returns greater than the cost of capital
- New assets which accelerate growth
What does the Gordon Growth Model collapse to under expansion
V0 = E1 / ke
* Makes a perpetuity
* Assuming constant growth rate
* Need to be able to derive this formula
How do you find D1
- If you have D0 you can multiple by the growth rate to find D1
- Or if you know retention and earnings can you
D1 = E (1 - b)
Where:
E1 = E0 (1 + g)
Also might need to employ CAPM or SML
How do you find Ke
- We may need to find Ke as it is one of the variables in the model
- Could use SML:
Ke = Ei = Rf + (Em - Rf)βi
What conditions are necessary for the Expansion Growth model to hold
- g < Ke otherwise you would get some very peculiar figures.
- b should be constant over time.
- Also … it is important to note - the model is based on all equity financing, but, as an approximation and as a minimum, the debt / equity ratio should remain constant over time (otherwise ke would be changing because of the changes in the gearing ratio).
- While 1 and 2 will probably never be absolutely constant, they may well tend to be and use of this model may be valid under these circumstances.
- With reference to the debt equity ratio, simply by retaining earnings we are increasing the proportion of equity in the capital structure and so, to maintain the debt equity ratio constant we would need to raise some additional debt each year
What must you watch out for when using the Expansion Growth Model
- Model will always give you the value at the time point before the first cash flow
- If you want to find the value at the of fist year you need to apply the growth rate to the cash flow and find the CF and the end of the second year which you can put into the Gordon Growth Model
How do dividends relate to capital structure and theorists
- Dividends are part of capital structure
- As paying it reduces equity as being paid to shareholders
- Therefore links to Modigliani and Miller and the traditionalist views
How does Modigliani and Miller approach dividend policy
MM has lots of assumptions and need to ask if they are realistic
* Focuses on earnings and not how they are distributed
* If we agree then dividend policy is irrelevant to value of a company
o All about earnings generated from the investments and not how they are distributed
* If this argument is valid then the value of the equity and thus the wealth of the shareholders is not affected by the company’s dividend policy.
* The basis of MM’s hypothesis is that, once the investment opportunities open to a company are known, the expected future earnings are discounted to the present and this gives us the value of the equity
* Any time a new investment opportunity arises, its future earnings are immediately discounted and the value of the shares changes to take this into account.
* i.e. the equity value changes at the time the investment opportunity arises, and not as the actual earnings arise
* Given their view that dividend policy is irrelevant to the value of a company, MM’s conclusion is that two companies in the same risk class will have the same value, subject to a scale factor, regardless of dividend policy.
o Similar argument as with capital structure