Lesson 4 of Investments: Stock Evaluation and Ratio Analysis Flashcards
Dividend Discount Model!
- The constant growth dividend discount model values a company’s stock by discounting the future stream of cash flows.
- The formula is also known as “The Gordan Growth Model” and “Intrinistic Value Formula”
- Intrinsic Value
Dividend Discount Model Formula
Formula Given
V = D1 ÷ (r-g)
r = required rate of return
g = Dividend growth rate
D1 = Next period’s dividend
Exam Tip:
- Be sure to use next year’s dividend when determining the value of stock using the constant growth dividend formula.
If D1 is not given?
To calculate D1 it is…
D1 = D0 x (1+g)
- Calculated using the current dividend and growth rate.
Expected Rate of Return!
Formula Given
- Through a restructuring of the formula used to calculate value, you can calculate an expected return rate of return (r).
- This formula uses “price” (P), that is, market price, in place of the value (V) in the calculation as follows.
r = ( D1 ÷ P ) + g
Example of Calculating the Intrinics Value of Stock and Expected Return of Stock
A stock recently paid a dividend of $3.25. The marlet price is $45.00 and the company’s growth rate is 6%. Your investor requires an 11% return on all investments.
- What is the intrinsic value of this stock?
- If he buys at market price what is the expected rate of return?
- Is the stock over or under-valued at its current market price?
1)
( 3.25 x 1.06 )
÷
(0.11 - 0.06)
=$68.90
2)
((3.25 x 1.06) ÷ 45.00)
+
0.06
=13.66%
3) Undervalued - The investor beleives the stock is worth $68.90 based upon the future dividends using the constant growth dividend model; however, the stock is only trading for $45.00
Exam Tip - Know the relationships
- Required rate of return and stock price
- Dividend and Stock Price
- If the required rate of return decreases, the stock price will increase.
- If the dividend is expected to increase, the stock price will increase.
- If the required rate of return increases, the stock price will decrease.
- If the dividend is expected to decrease, the stock price will decrease.
Exam Question
The current annual dividend of ABC Corporation is $2 per share. Five years ago the dividend was $1.36 per share. The firm expects dividends to grow in the future at the same compound annual rate as they grew during the past five years. The required rate of return on the firms common stock is 12%. The expected return on the market is 14%. What is the value of a share of common stock of ABC corporation using the constant dividend growth model?
a) $11
b) $17
c) $25
d) $36
e) $54
Answer: E
Step 1: Calculate growth
N = 5
I = Solve for = 8.02
PV = -1.36
PMT = 0
FV = 2.00
Step 2: Use constant growth dividend formula.
($2.00 x (1+.0802)) ÷ (.12 - 0.0802)
=$54.00
Dividend Discount Model
- Utilization
- Variable Dividend Growth Rate
The dividend discount model may be utilized for
- simplisitic perpetual dividend growth rate questions or for more complicated variable dividend growth rates.
The set up for variable dividend growth rate is the same as
- for a single growth rate except you must start with the last rate and work backwords.
Example
Exam Question
Shilo is invested in an MLP that has paid an annual dividend. The energy, oil, and gas industry is really booming so she expects the company will increase dividends by 7% for 3 years, 5% for 2 years, and will hold it stable at 3% from then on. The company’s recent financial statements shoe earnings per share of $12 and a retention ratio of 60%. If Shildo requires at least a 8% rate of return on her investment, what is the value?
Div0 = EPS x (1-Retention) = $12 x 0.40 = $4.80
Div1 = $4.80 x 1.07 = $5.14
Div2 = $5.14 x 1.07 = $5.50
Div3 = $5.50 x 1.07 = $5.89
Div4 = $5.89 x 1.05 = $6.18
Div 5 = $6.18 x 1.05 =$6.49
Div 6 = $6.49 x 1.03= $6.68
V = 6.68 ÷ (0.08 - 0.03) = $133.60
The calculate NPV
Div0 = $0
Div1 = $5.14
Div2 = $5.50
Div3 = $5.89
Div4 = $6.18
Div5 = $6.49 + $133.60 = $140.09
Answer: $114.04 value at Current Year.
Disadvantages of using the Dividend Discount Model
- The model requires a constant, perpetual growth rate of dividends.
- Many stocks do not pay dividends so the security value may not be estimated with this model .
- The growth rate of dividends cannot be greater than the expected return and
- the security price becomes very sensitive to the expected return when nearing the growth rate.
Price-Earnings Ratio!
-
The Price to Earnings (P/E) ratio represents how
- much an investor is willing to pay for each dollar of earnings.
- A measure of the relationship between a stock’s price and its earnings.
-
P/E ratio is a useful tool used to measure a stock
- if the firm pays no dividends.
- The relationship of price to earnings is known as the P/E multiplier, and price is arrived to as follows.
P/E Formula
Not given on exam
- P/E = Price Per Share ÷ EPS
OR
- Price Per Share = P/E x EPS
Example of P/E
3 Ways P/E Can be Asked
(1) Ice cream corp has earnings per share of $3.00, and its stock price is trading at $40 per share. What is its P/E ratio?
(2) Ice cream corp is trading at $50 per share and has a P/E ratio of 20. What is its EPS?
(3) Ice cream corp has EPS of $3 and a P/E of 20. What is its stock price?
(1) P/E = Stock Price ÷ EPS
P/E = $40.00 ÷ $3.00
P/E = $13.33
(2) P/E = Stock Price ÷ EPS
20 = $50.00 ÷ x
=20x = $50.00
EPS = $2.5
(3) P/E = Stock Price ÷ EPS
20 = x ÷ 3
Stock Price=$60 per share
PEG Ratio!
-
The Price/Earnings to Growth (PEG) ratio compares
- a stock’s P/E ratio to the company’s 3-to-5 year growth rate in earnings.
- The 3-to-5 growth rate in earnings is the historical earnings growth rate.
- The PEG ratio is used to determine if the stock’s P/E ratio
- is keeping pace with the firm’s growth rate.
- A PEG ratio equal to 1 suggests
- that the stock is fairly valued because the P/E ratio is in line with the earnings growth rate.
- A PEG ratio greater than 1 suggests
- that the stock price is fully valued (or even overvalued) because an expanding P/E ratio is contributing to the stock price appreciating more than the growth rate of earnings.
PEG Ratio Formula
Not given
(Stocks P/E Ratio)
÷
(3 to 5 Year growth rate in Earnings)
Book Value!
A firm’s book value represents
- the amount of stockholder’s equity in the firm or how much the company’s shareholders would receive if the firm was liquidated.
The book value per share is useful to compare
- to the firm’s stock price.
If the stock price is significantly higher than the firm’s book value,
- it may indicated that the firm is overvalued.
If the book value per share is equal to or higher than the firm’s stock price,
- it may indicate the firm is being undervalued.
Dividend Payout Ratio!
The dividend payout ratio is the relationship between
- the amount of earnings paid to shareholders in the form of a dividend,
- relative to earnings per share.
Typically, the higher the dividend payout ratio,
- the more mature the company.
A high dividend payout ratio may also indicate
- the possibility of the dividend being reduced.
A low payout dividend payout ratio may indicate
- that the dividend may increase, thereby increasing the stock price.
Dividend Payout Ratio Formula
Not given on CFP exam. Memorize
Common Stock Dividend
÷
Earnings Per Share
Dividend Payout Ratio Example
Cole’s Car Inc has the following information. What is the dividend payout ratio?
EPS: $2.00
C/S Dividend: $1.00
P/S Dividend: $0.50
Sales: $5,000,000
Share outstanding: 1,000,000
Total Equity: $7,000,000
=$1.00 ÷ $2.00
=50%
Return on Equity (ROE)!
Measures the overall profitability of a company.
- This is a direct relationship between
- ROE,
- earnings and
- dividend growth.
ROE Formula
Not On exam
Earnings Per Share
÷
Shareholders Equity Per Share