## PE, PEG, and PEGY Valuation Ratios

June 19, 2017

The stock market lists several thousand stocks which have a variety of prices in relation to company profits. Company managers decide how they will use the profits to either pay dividends to shareholders or retain the earnings to build shareholders’ equity (ref. 1). The retained earnings may be used in ways that ultimately raise or lower the market price of the stock. Consequently, bankers and brokers pay attention to quarterly reports of the company profits measured as earnings per share (EPS).

Investors want to know whether the stock is priced too high (“overvalued”) or too low (“undervalued”) compared to the EPS. Professional analysts assist investors by preparing the PE, PEG, and PEGY valuation ratios.

• PE standardizes the market value of a stock for ease of comparison with other stocks.
• PEG refines the valuation of stocks by adjusting PE to the growth rate of company earnings. PE is in equilibrium with the growth of earnings at PEG = 1.
• PEGY adjusts PEG to stocks with high yields of dividends.

### PE

PE is the ratio of stock price (P) to company earnings (E). Formula 1 is used to calculate the PE (ref. 1,2):

PE = P / E,          formula 1

P is the price per share and E is the EPS accumulated over a 12-month period. For more information, please see notes at the end of this article.

example: if one share of stock is priced at \$50 and the company’s annual EPS is \$5, then 50/5 equals 10/1. The PE is 10.

The timing of company earnings determines whether the PE is labeled as “trailing” or “forward”.
Trailing PE is the current price per share divided by the EPS accumulated from the past 12 months or past 4 quarters. Trailing PE is based on known quantities.  Forward PE is the current price divided by the accumulated EPS expected for the next 12 months or next 4 quarters. Forward PE is an uncertain forecast of future market value based on the management’s or analyst’s expectation the EPS for the next 12 months.

PE represents the market value of all shareholders’ claims to \$1 of annual EPS, past or future. The market value is judged to be high (“overvalued”) or low (“undervalued”) compared to an arbitrary estimation of fair value. There are several ways of determining a fair value.

• Compare the stock’s PE to an average PE of the industry, market, or historical record (ref. 3).
• Normalize the PE to the company’s rate of earnings growth, which generates the PEG ratio. By convention, the PE is fairly valued when PEG = 1 (ref 5,6).
• The least practical method is a comparison to some theoretical PE that is not readily available to most investors (ref 1,4).

### PEG

PEG is the ratio of PE to G (ref. 1,7,8; formula 2):

PEG = PE / G,          formula 2

G is the compound annual growth rate of EPS over a time period of 3-5 years, perhaps even longer in special cases. For more information, please see endnotes.

example: if one share of stock is priced at \$50 with an annual EPS of \$5 and a 10% compound annual growth rate of EPS, then 50/5/10 equals 1.00. The PEG is 1.00.

PEG measures the market value of a stock relative to the company’s rate of earnings growth (ref. 7,8). The theoretical equilibrium between market value and the rate of EPS growth occurs at PEG = 1.0. PEGs below 1.0 suggest undervaluation and those above 1.0 suggest overvaluation (ref. 9).

Trailing- and Forward PEGs represent the stock’s market value relative to past and future eras (ref. 7,8). Trailing PEG is a factual measurement of market value provided that the EPS was measured during the past year and the EPS growth rate occurred during the past several years. Forward PEG is an uncertain prediction of market value based on the company’s expected earnings for next year and an analyst’s forecast of earnings growth for the next several years.

examples: when the forward PEG is above 1.0, the market expectation of growth exceeds consensus estimates and the stock is overvalued (ref. 8). If PEG is below 1.0, the stock is undervalued (ref. 2,7).

Limitations of PEG (ref. 3,8):

• The EPS growth forecast may be invalid.
• Another variable besides PEG could add or subtract value to the investment. For example, PEG ignores the value of a cash-rich company.
• An overvalued company, for example one with a PEG of 3.0, might still be a stable investment despite its low rate of earnings growth.
• PEG is best suited for stocks that don’t pay dividends; otherwise, calculate the PEGY.

### PEGY

Some investors prefer high-yield ‘value’ stocks rather than low-yield ‘growth’ stocks. High yield stocks typically pay higher dividends at lower EPS growth rates (e.g., the stocks of utility companies). PEGY includes dividends in its valuation ratio for high-yield stocks (ref. 8; formula 3).

PEGY = PE / (G+Y),          formula 3

Y is the stock’s dividend yield. Dividend yield is the ratio of the annual dividend per share to the price per share.

example: if one share of stock is priced at \$50, the annual EPS is \$5, the compound annual growth rate of EPS is 8%, and the dividend yield is 5%, then what are PEG and PEGY?
PEG = 50/5/8 = 1.25. PE is overvalued if the high dividend is excluded.
PEGY = 50/5/(8+5) = 0.77. PE is undervalued if the high dividend is included.

### Payback period

Besides measuring market value, the PE and PEG also predict the stock’s payback period. A payback period is the amount of time needed for the accumulation of company earnings to match the original amount of investment. If all accumulated earnings were paid to investors, which is unlikely, the payout would provide a 100% return. Longer payback periods represent riskier investments, especially when the company is still establishing its market position or competing with innovative companies (ref. 9,10,11).

The PE ratio also represents a payback period measured in years.

example: if a stock is priced at \$50 per share and the EPS is \$5 per share every year, then \$50/share divided by \$5/share/year equals the payback period of 10 years. The same units of \$/share cancel each other in the numerator and denominator.

The PE payback period is the time needed for an accumulated EPS to equal the original share price, assuming the EPS remains constant during the accumulation period. Most companies don’t repeat the same EPS every year.

The PEG payback period accounts for the desired phenomenon of EPS growth. The PEG payback period is the number of years that the growth of earnings accumulates enough value to match the original investment (ref. 9,10).

example: if a stock is priced at \$50 per share, the EPS is \$5 per share, and the EPS growth rate is 10%, it would take 7 years for the EPS to accumulate a value of the original stock price of \$50. The PEG payback (7 years) is earlier than the PE payback (10 years) due to the 10% rate of earnings growth.

### Conclusions

Company earnings are a strong determinant of stock value. PE, PEG, and PEGY ratios represent the stock market’s valuation of company earnings. Don’t rely solely on company earnings to judge the investment value of stocks. Also assess the business performance and company value (ref. 2,6).

### Endnotes

Formula 1: PE = P / E

• P is the current auction price for a share of common stock listed in the stock market. The auction price fluctuates often depending on when a trading order is filled at an agreeable price between buyer and seller. Analysts typically use the closing price of the latest trading day to calculate the PE.
• E is one year’s accumulation of the company’s earnings per share of common stock [EPS]. EPS represents the company’s net income divided by its outstanding shares and fluctuates at quarterly intervals. Any guaranteed payments of dividends to shares of preferred stock automatically reduce the EPS before calculation of the PE. EPS depends on the analyst’s choice between GAAP- and non-GAAP earnings and choice between basic and diluted outstanding shares.

Formula 2: PEG = PE / G

• PEG fluctuates with frequent changes of PE and infrequent changes of G.
• G is the EPS growth rate, which is the compound annual growth rate of EPS for a time period of at least several years. Although G is measured as a percentage change of EPS per year, the common practice is to ignore the units of measurement when calculating PEG.
• Trailing PEG is the trailing PE divided by the G for past earnings.
• Forward PEG is the forward PE divided by the G for future earnings.

### REFERENCES

1. How to Find P/E and PEG Ratios, by Thomas Smith, Investopedia LLC. http://www.investopedia.com/articles/fundamental-analysis/09/price-to-earnings-and-growth-ratios.asp?lgl=v-table
2. How to use the PE Ratio and PEG to tell a stock’s future, by the Investopedia Staff, updated March 17, 2016. http://www.investopedia.com/articles/00/092200.asp
3. What is the PEG Ratio? https://www.fool.com/knowledge-center/peg-ratio.aspx
4. Aswath Damodaran, Intrinsic Valuation in a Relative Value World. http://people.stern.nyu.edu/adamodar/pdfiles/country/relvalFMA.pdf .
6. How useful is the PEG Ratio? Joseph Khattab, April 6, 2006. The Motley Fool. https://www.fool.com/investing/value/2006/04/06/how-useful-is-the-peg-ratio.aspx
7. Price/Earnings to Growth- PEG Ratio. Investopedia LLC. http://www.investopedia.com/terms/p/pegratio.asp
8. PEG Ratios Nail Down Value Stocks, by Ryan Barnes, 11/24/2015. Investopedia LLC. http://www.investopedia.com/articles/analyst/043002.asp?lgl=v-table
9. Double your dollars. Selena Maranjian, September 7, 2010. The Motley Fool. https://www.fool.com/investing/value/2010/09/07/double-your-dollars.aspx
10. Payback period = double your money. Course 304: PEG and Payback Periods. Morningstar, 2015. http://news.morningstar.com/classroom2/course.asp?docId=3066&page=2&CN=C
11. The longer the payback period, the greater the risk. Course 304: PEG and Payback Periods. Morningstar, 2015. http://news.morningstar.com/classroom2/course.asp?docId=3066&page=3&CN=C

## Skim the profit?

February 7, 2017

Selling all or part of a profitable investment is a tough choice to make.  On one hand, holding the investment allows time to accumulate a high return, but at the risk of losing profit in the market’s next big decline. On the other hand, selling portions of the investment to ensure a profit today will diminish the future return.

Both choices are easy to illustrate by imagining a stock investment that pays no dividends.  Assume there is a consistent growth of stock price and that no additional shares are purchased after the original purchase. The profit is skimmed by selling part of the investment when its market value grows to twice the original purchase.  Repeat the process every time the market value doubles until the investment is closed.  Chart 1 illustrates the skimming of a \$1,000 investment.

chart 1, Market values.  \$1,000 was invested in a good growth stock that paid no dividends. A generous 15% annual return doubled the market value every 5 years. The HOLD strategy (black squares) was to avoid selling for 20 years. The SELL strategy (green circles) was to sell half the shares every time the market value doubled. There were no trading fees.

After 5 years, the investor could claim a profit of \$1,000 on the original \$1,000 investment. Then the choices would be to close the investment at \$2,000, withdraw only the \$1,000 profit and wait for more (green circles), or withdraw nothing and wait for a bigger profit (black squares). The largest profit is made by waiting 20 years.

Chart 2 illustrates the accumulated cash balances of the HOLD and SELL strategies.

chart 2, Cash balances. The cash balances of both strategies in chart 1 are illustrated in this chart using the same symbols for data points. The proceeds from every sale were held in a cash account and allowed to accumulate for 20 years.  After 20 years, the remaining shares were sold for cash. The end point of each strategy is the final cash balance.

After closing the investment in 20 years, the accumulated cash balance would be \$16,367 from the HOLD strategy and \$5,045 from the SELL strategy.

### Alternate conditions

The accumulated cash balance will vary according to the annual rate of return (appended chart 3), the amount skimmed (appended chart 4), and the payment of dividends (appended chart 5).  In every condition, the total profit of the HOLD strategy exceeds the total profit of the SELL strategy.

### Conclusion

On the question of whether or not to skim profits, skim if you need cash in the next 5-10 years. Otherwise, don’t sell without reassessing the investment or using a risk management scheme.  The question of selling for a loss was excluded from this discussion; that’s a different topic.

### Appendix: Tables of cash balances

Charts 3-5 are tables of cash balances that represent profits from an imaginary investment of \$1,000. The choices for taking a profit were to HOLD the investment for 20 years before liquidating the account or to SELL profitable portions of the investment.  Assume there were no trading fees.

Chart 3 shows that a 15% annual rate of return earned a bigger profit than a 7% annual rate of return.  Furthermore, the HOLD strategy earned a larger profit than the SELL strategy at both rates of return.

chart 3, Rate of return.  \$1,000 was invested in a good growth stock that paid no dividends. No shares were purchased after the original investment. The 20-year cash balance (cells) was only affected by the annual rate of return (rows) and liquidation strategy (columns).  The HOLD strategy did not sell shares for 20 years.  The SELL strategy sold half the shares whenever the market value doubled in size during the 20 year period.  The 7% rate permitted 1 selling period and the 15% rate permitted 4 selling periods.

Chart 4 illustrates the effect of skimming 50%, 100%, or 150% increments of market value.

chart 4, Increments of market value. \$1,000 was invested in a good growth stock that paid no dividends. The investment’s annual rate of return was 15% and no shares were purchased after the original purchase. The cash balances (cells) accumulated every time period (rows) among 3 different increments of market value (columns). The HOLD strategy did not sell shares for 20 years. The ‘rule’ for the SELL strategy was to sell a portion of shares when the market value grew by approximately 50% every 3 years (\$521), 100% every 5 years (\$1,011), or 150% every 7 years (\$1,660).

The HOLD strategy outperformed the SELL strategy. With the SELL strategy, waiting longer to skim bigger profits accumulated a larger cash balance after 20 years. Why? The bigger profits were less frequent, which had the effect of preserving the investment’s principal for longer time periods.

Chart 5 reveals a surprising effect for skimming profits from reinvested dividends.

chart 5, Dividends. \$1,000 was invested in a good growth stock that paid a 2% dividend on every share. No shares were purchased after the original investment unless the dividends were automatically reinvested. The cash balances (cells) accumulated with the passage of  time (rows) among 3 types of investments (columns). The HOLD strategy did not sell shares for 20 years. The SELL strategy removed half the remaining shares every 5 years.

There were no surprises in the HOLD strategy. Reinvested dividends accumulated the largest cash balance over 20 years. However, reinvested dividends accumulated the lowest cash balances in the SELL strategy. Why? Slightly more shares were sold every 5 years from ‘reinvested dividends’ compared to ‘no dividends’. Yet the same number of shares were sold from ‘cash dividends’ compared to ‘no dividends’. The cash dividends directly augmented the cash balances.

## Alpha is a point on a straight line, plus more.

December 22, 2016

{update on 12/23/2016: the significance of technical and operational alpha}

Alpha (⍺) is the cherished -but overrated- measurement of superior investment. Here are several interpretations:

• A measurement of how well an investment outperforms its market index (ref 1).
• The observed characteristic of a mutual fund that predicts higher fund performance (ref 2).
• A portfolio’s return that’s independent of market returns (ref 3).
• The excess (or deficit) return compared to the market’s return. Used this way, ⍺ is called Jensen’s Alpha.

Alpha represents a unique risk of outperforming the market’s returns. It is classically calculated as the “Y intercept” of a straight line attributed to the CAPM model (see appendix). In the last century, famous investors outperformed the market either by choosing exceptional investments or by investing in exceptional market sectors. The investment could be a single security (e.g., a stock) or a portfolio of capital assets (e.g., a mutual fund) (footnote 1, refs 1, 2). Now in this century, those alledged ‘alpha’ strategies are increasingly difficult to achieve. There’s an emerging sentiment among investors to avoid wasting time and money on attempting to outperform the market, the so called “loser’s game”. The current “winner’s game” is to seek ‘beta’ (refs 1, 2, 4, 5).

‘Beta’ is the portfolio’s return generated by market returns. Therefore, beta represents the risk of earning the market’s returns. The beta statistic, β, is currently calculated and reported by financial research firms as a coefficient for the incline of a straight line attributed to the CAPM model (see appendix).

### Straight line of imaginary returns

#### (refs 5-8)

A straight line of imaginary returns presumably offers the best possible comparison of investment returns to a market index (footnote 2). ‘Returns’ and ‘performance’ are interchangeable terms that indicate the direction and movement of prices over time. An investment’s rate of return is calculated as the percentage change in price at regular intervals of time [likewise, the market’s rate of return is a percentage change in value of the market’s index at regular intervals of time]. Any rate of return is easily converted to a risk premium by subtracting the guaranteed interest rate for a Treasury bill (“T bill”). The risk premium is an investor’s potential reward for purchasing a security other than the T bill.

The straight line is drawn on a graph that shows actual measurements of investment returns plotted against market returns. The returns may either be measured as the rate of return or the risk premium depending on the goal of analysis. In the following chart, black dots represent a series of investment returns plotted against corresponding market returns.

The blue line of imaginary returns is the best possible comparison of investment returns to market returns. The position of the line on the graph is governed by its incline (β) and intersection (⍺+ε) with the vertical axis.

### ⍺, the intersection

#### (refs 1-3, 5-8)

Alpha resides at the intersection of the theoretical line with the vertical axis for investment returns (chart). Since the vertical axis crosses the horizontal axis at 0% market returns, ⍺ is the theoretical investment return at 0% market returns. A positive value for ⍺ implies that the investment tends to outperform its market index. Likewise, ⍺ = 0 implies no inherent advantage of the investment and a negative value for ⍺ implies that the investment tends to move less than the market index.

There’s a degree of error (ε) involved in drawing the line of imaginary returns, which means that its intersection is defined by the term ⍺+ε. The ε declines when a series of returns lie close to the line. The chart shows plots for 2 different series of returns; one series of black dots and another series of white circles. Both series have an equally small ε as illustrated by the close alignment of data to each straight line. Alpha of the blue line is 0% return and ⍺ of the orange line is 5% return, both occuring when the market return is 0. The series of open-circle returns outperformed the series of black-dot returns by 5%.

### Significance

#### (refs 1, 2, 4, 5)

Alpha measures how well an investment outperforms the market. Yesterday’s ‘technical’ ⍺, shown in the preceding chart, applied to measuring superior stock-picking skills.  Today, the technical ⍺ of stocks is not reported by the most popular financial websites.

Today’s ‘operational’ alpha is really a beta loading factor of multi-factor models (see appendix).  Operational alpha is more relevant to measuring the performance of actively managed mutual funds and investment portfolios. The investment goal of an actively managed mutual fund is to outperform its market index. Active management may be the “loser’s game” of paying excessive fees in contrast to passive management, which may be the “winner’s game” of paying minimal fees.

### Footnotes

1. Capital assets are securities and other forms of property that potentially earn a long term capital gain(loss) for the owner.

2. The straight line has other names that precede my use of the term ‘imaginary returns’. The straight line is also called a regression line or security characteristic line (ref 6).

### References

1. Larry E. Swedroe and Andrew L. Berkin. Is outperforming the market alpha or beta? AAII Journal, July 2015. pages 11-15.

2. Yakov Amihud and Rusian Goyenko. How to the measure the skills of your fund manager. AAII Journal, April 2015. pages 27-31.

3. Daniel McNulty. Bettering your portfolio with alpha and beta. Investopedia. http://www.investopedia.com/articles/07/alphabeta.asp#ixzz4SYJ0rN9q

4. John C. Bogle. The little book of common sense investing. John Wiley & Sons Inc., Hoboken, 2007.

6. Professor Lasse H. Pederson. The capital asset pricing model (CAPM). New York University Stern School of Finance. undated. http://www.stern.nyu.edu/~lpederse/courses/c150002/11CAPM.pdf

7. MoneyChimp. Regression, Alpha, R-Squared. 2016. http://www.moneychimp.com/articles/risk/regression.htm

8. Invest Excel. Calculate Jensen’s Alpha with Excel. undated. http://investexcel.net/jensens-alpha-excel/

### APPENDIX: models for pricing assets and managing portfolios

#### (refs 1-3, 5-8)

The original one-factor model was called the Capital Assets Pricing Model (CAPM). The single factor is market returns (M).  The investment returns (I) are predicted by a best-fit line with incline (βm) and intersection with the vertical axis (⍺ + ε) (equation 1).

I = ⍺ + ε+ βmM,     equation 1, CAPM

Subsequent series of three-factor and four-factor models were sequential upgrades of CAPM. Equation 2 is an example of a four-factor model for the risk premium of an investment fund (F) comprised of separate portfolios for the broad market (M), asset size (S), asset value (V), and asset momentum (U).

F = ⍺ + ε + βmM + βsS + βvV + βuU,     equation 2, four-factor model

⍺ is the excess risk premium attributable to skillful management of the Fund.
ε is the model’s error
βm, βs, βv, and βu are portfolio loading factors assigned by the Fund’s manager

The four-factor model offers a spectrum of possibilities.

• During 1927-2014, the average annual returns of indices for the the four-factor model were 8.4% for the broad stock market, 3.4% for stock size, 5% for stock value, and 9.5% for stock momentum.  The sum of average annual returns, 26.3%, represented the alpha-threshold for superior fund returns (ref 1).
• Passive management could be predicted by setting βm to 1.00, measuring the market index return, and setting the remaining loading factors to 0.  A market index fund would  be expected to generate a risk premium that matches the market index risk premium with an ⍺ of 0 and slight ε for tracking error.
• Active management involves designing loading factors and portfolio assets to outperform the fund’s predicted returns.

## Beta is the incline of a straight line

December 10, 2016

Beta (which is symbolized as β) is the incline of a straight line. Mathematicians would say the same thing another way, that beta is the slope of a regression line. Either way, β describes the tendency of investment returns to move with market returns. The investment is a security (e.g., stock, bond, mutual fund) that has a unit price. The market is a trading place for a large group of securities. The combined value of all securities is measured by a market index.

### Returns

Trading causes security prices to change during the passage of time, a process called price movement. Calculations of β require price movements to be measured as percentage returns. In table 1, the daily closing prices of a security and its market index are listed under the column heading “close”. Percentage daily changes in closing price are listed under the column heading “Return %”.   Equation 1 is the formula used to calculate a return:

Return % = 100 x (current price – past price) / past price  (equation 1)

Notice in table 1 that all prices are a positive number and that the market’s close is bigger than the investment’s close. However, the calculated returns are positive and negative numbers of similar size. The positive and negative returns represent up and down movements of prices. Table 1 has 3 pairs of investment and market returns with corresponding dates.

### Beta (β)

β may be calculated directly from a table of returns, but it’s more meaningful to analyze a scatter plot of returns. The scatter plot in figure 1 has a solid blue line derived from 5 years of daily returns represented by more than a thousand black dots. Each dot has a pair of corresponding returns on each axis.

The blue line offers the single-best comparison of investment returns to market returns. The incline of the blue line is β, which is calculated as a ratio of the lengths AC and BC of the dashed lines. Since AC and BC have equal point spreads of 5%, β is 1.00, which means that the investment and its market TENDED to move together at the same rate of return.

Notice that the black dots are closely aligned to the blue line, therefore excluding the random movement of returns. Consequently, the blue line is highly predictive of this particular investment’s past performance.

### Significance

β is a measurement that literally means for every percent of market return, the percent investment return TENDED to change by the factor of β.  This is illustrated in figure 2.

The colored performance lines in figure 2 represent different investments. Each line offers the single-best comparison of investment returns to market returns. For the sake of graphic clarity, a large cluster of paired returns was not plotted as data points.

At β = 1.00 (black dashed line) the investment and market TENDED to move together at the same rate. At β >1.00 (yellow line), the investment performance was amplified by trading activity in the market. The yellow line’s β infers that the investment’s return was 1.72 times the market’s return. At β <1.00 (green line), the investment performance was diminished by market activity. The green line infers that the investment’s return was 0.86 times the market’s return. At β <0 (red line), the investment performance was reversed by market activity. The red line infers that the investment’s return was -3.86 times the market’s return.

Thus, β is a ‘pretend’ multiplier of market performance. Higher β ‘amplified’ the market performance, lower β ‘diminished’ the market performance, and negative β ‘reversed’ the market performance.

### Risk

Risk is the chance for a capital gain and capital loss. Betas greater than 1.00 tend to be riskier investments and those lower than 1.00 tend to be safer investments compared to performance of the market. Negative β infers a reversal of investment outcomes compared to market outcomes.

β is a statistic for past performance that describes the tendency of investment returns to move with market returns. When comparing the β of different investments, be sure to verify the time periods and market index used by the analyst. β is typically measured with weekly or monthly returns for the past 3-5 years.

## Why we need stocks and bonds

October 20, 2016

Believe it or not, Society is coming to the point where all capable people need to invest in stocks or bonds. So what are stocks and bonds, and why do we need them?

They are valuable certificates purchased from businesses by investors. Businesses need investors’ money to build and sell products to customers for a profit. Investors need the certificate to retrieve their money with a bonus payment. That bonus payment is an enticement to invest in businesses.

Stock and Bonds are different from each other. Stocks represent part ownership in a business. The stock owner hopes to collect portions of business profits called dividends and to eventually sell the stock certificate for a bonus amount. Bonds are written promises to refund investors’ money with an extra amount called interest. Both potentially offer individuals an extra source of money.

Markets for stocks and bonds will grow and endure for future generations.  More individuals will become investors out of necessity.  The details of investing are interesting and challenging.

## Income statements can surprise investors

March 15, 2016

No other report of profit exerts greater influence on the Stock Market than that of a company’s net income. Why? Stock analysts make predictions of future net income that influence the decisions of investors.  Eventual announcements of actual net income may be very pleasing or disappointing news to investors who then generate a surge of trading in the market place.

The company’s only sources of income are customers, investments, and investors.  For an established company, customers are the preferred source of profit!  Operating income (a.k.a. EBIT) is the profit earned from customers.  The adjustment of EBIT by extra items yields net income.  Net income (a.k.a. Earnings, EPS) represents the profit that a company can share with its stock holders. Market regulators require companies to reveal the operating income and net income in quarterly and annual income statements.

### Structure

The Income Statement is one of 3 financial statements that companies report to investors on a quarterly and annual basis. Accountants prepare the statement by consolidating all of the company’s non-cash transactions into a standardized ledger that measures the business operations used to earn a profit. Chart 1 shows the main elements of an income statement:

Chart 1

Total Revenues are also called the top line of the income statement. They measure the net sales of all products. Operating expenses are used to acquire, sell, and distribute the products. Extra items are additional transactions that don’t generate sales, but increase or reduce the profit from sales. Net income is also called the bottom line of the company. Net income is the profit that a company can share with its stock holders.

### Relevant information

In my opinion, the “LINE ITEM” column in Table 1 lists the income statement’s most relevant information for individual investors. The “\$” column shows the relevant measurement in units of U.S. dollars. The “% OF SALES” and “PROFIT MARGIN” columns display convenient ways of analyzing the income statement. At the time of this writing, I collected the “\$” and “% OF SALES” data from a company’s ‘financials’ tab in morningstar.com. I simply toggled the statement’s ‘view’ command to switch from \$ to %.

Table 1.

“Revenue” (a.k.a. Total revenues, Sales) is the total value of all products shipped to customers during the reporting period. The revenue is usually recorded at the time of delivery before any cash payment is made by the customer. “Gross profit” is the remaining revenue after deducting all costs of production from the Sales. “Operating income” is the remaining revenue after deducting all other expenses of operating the business from the gross profit. “Income before taxes” is the remaining revenue after adjusting the operating income available to pay taxes. Net income is the company’s earnings after the revenue is reduced by all operating expenses and extra items.

There are several line items of net income listed in every income statement.

• “Net income available to common shareholders” represents the residual net income after payments of dividends to the company’s preferred shareholders.
• “Diluted Earnings per share” (EPS) is the portion of “net income income available to common shareholders” divided by diluted shares. Diluted shares are all outstanding shares (“basic shares”) plus the potential gain of shares from convertible securities.

### Fundamental analysis of profitability

Profit margins are percentages of Revenue that represent intermediate and final profits. The profit margins in Table 1 measure the impact of production, operating expenses, and extra items on the company’s sales. Here are the units of measurement:

• Gross margin = 100 * Gross profit / Revenue = 41.3% = 43.1 cents of every sales dollar.
• Operating margin = 100 * Operating income / Revenue = 22.4 % = 22.4 cents of every sales dollar.
• Net margin = 100 * Net income / Revenue = 14.2% = 14.2 cents of every sales dollar.

In table 1, the gross margin reveals that after paying all costs of production, the company is left with 43.1 cents from every dollar of revenue to pay for the remaining operating expenses. Costs of production include all expenses of manufacturing goods and providing services. The manufacturing process requires equipment, labor, and basic materials to build an inventory of finished goods. The provision of services requires labor and equipment. A company can be more profitable by reducing its costs of production.

The operating margin (Table 1) represents a residual revenue of 22.4 cents per sales dollar after paying all costs of production plus the costs of maintaining the business and selling the product. Think of the operating margin as customer-derived profit.  A company can earn more profit from its customers by cutting some of its operating expenses.

Net income is the remaining profit after paying operating expenses and adjusting for extra items such as government taxes. In table 1, the net margin is 14.2 cents for every dollar of revenue. The company could be more profitable by cutting some of its expenses or earning extra income. The net income is available to reward share holders in a variety of ways that eventually translate into capital gains and possibly dividends. For example, the earnings per share (a derivative of the net income) enables thousands of stock market participants to place a value on each share of ownership in the company. An increase in market value would allow stockholders to sell their shares for a capital gain.

### Fundamental analysis of the competition

The business performance of 2 or more companies in the same industry can be compared by assessing their profit margins. Table 2 provides an hypothetical example of how 2 competitors manage their business revenue. For every sales dollar, company A is less profitable than company B as revealed by A’s lower profit margins. Why is B more profitable? Its 66% gross margin reflects a lower cost of production that ultimately generates a higher net margin of 24%. Game over!

Table 2.

Notice that company A is more efficient at maintaining its business and selling its product. Company A’s 19 percentage-point difference between 41% and 22% is less than company B’s 33 percentage-point difference between 66% and 33%. For every dollar of sales, Company A was better at squeezing some profit from its customers with lower maintenance and sales costs. Also notice that the impact of extra items (e.g. potential taxes) was nearly the same for both companies; 8 percentage-point versus 9 percentage-point differences between the operating and net margins.

### Conclusions

Income statements report a set of measurements that investors can use to analyze a company’s business operations and its ability to earn a profit. The company’s operating income (‘EBIT’) and net income (‘EPS’) are the key elements of an income statement.  Operating income is used to calculate the operating margin, which measures how much profit the company earns out of every sales dollar from its customers.  The net income  depends on total revenue and efficient management.  For every dollar of revenue, the company that operates more efficiently has a better chance of earning a net income as measured in separate ways by the net margin and EPS.  The company’s earnings per share (EPS) represent the profit that the company can share with its stock holders. There are several ways to increase the EPS: boost sales, trim costs, retrieve shares, and seek extra income.

## Lead article: Stock Index Funds

January 16, 2016

The only way an individual investor can quickly invest in hundreds of different stocks is to buy shares of a stock index fund. The tremendous advantage is an immediate ownership of a diversified portfolio in one affordable investment. It’s the surest way of earning the stock market’s returns provided the correct investment is held through a series of ‘bull’ and ‘bear’ markets. Selecting the ‘correct’ fund requires only a few hours of easy research based on the following information:

INDEX. Stock index funds are passively-managed investment funds designed to imitate a stock index. The index measures the investment performance of a hypothetical portfolio of stocks. Some indices are riskier than others by virtue of the underlying securities in the hypothetical portfolio. For example, micro-cap stocks are riskier than all stocks combined by virtue of differences in turnover, liquidity, and diversification.

FUND MANAGEMENT. The investment fund is an actual portfolio of stocks that are managed for the benefit of the fund’s shareholders. Passive management is an investment style that imitates the performance of the selected index. Active management intentionally avoids imitating the index and is a more costly endeavor.

The legal structure of an index fund regulates its style of management. A unit investment trust (UIT) is bound by a trust agreement to manage a portfolio of fixed composition. The UIT has an unmanaged portfolio because there is no allowance for adjustment of composition by the manager. The open-end investment company (OEIC) operates a managed portfolio of adjustable composition. The OEIC is bound by its investment strategy to operate either a passively or actively managed fund. OEIC managers of an index fund are bound to passive management but have leeway to supplement the fund’s income by revising, lending, or borrowing a minor portion of the portfolio. These operations may increase the risk and tax burden of investment.

PRICING. The pricing mechanism of an index fund is closely regulated. Mutual funds are OEICs that trade shares at net asset value (NAV); in other words, they are priced at the fund’s net worth-per-share. The mutual fund’s share price is not quoted until the next day because the NAV is determined after trading hours from closing prices of the underlying stocks. Mutual funds are marketed through an authorized broker and guaranteed to be priced at the NAV. Exchange-traded funds (ETFs) are OEICs or UITs that trade the fund’s shares in the stock market, which means that the share price is quoted by public auction during trading hours. ETFs are traded the same way as stocks. The intraday net asset value (iNAV) and share price are continually updated and reported by the stock market. The fund’s share price is linked to the fund’s iNAV by arbitrage. Individual investors can neither participate in arbitrage nor redeem ETFs at NAV.

FEES. Managers of investment funds are compensated by charging an annual expense ratio that diminishes the NAV. Competition has decreased the expense ratio of stock index funds to only a few basis points (1 basis point = 0.01%), but beware that the expense ratios of bond index funds and actively managed mutual funds are typically higher; read the prospectus. Mutual funds are notorious for adding special fees to trades and imposing minimal holding periods; check with the broker and read the prospectus. New, small index funds are at risk for early termination when the NAV fails to grow above an estimated fifty million dollars. The expense ratios of small funds generate insufficient compensation for the fund sponsors, so they close shop.

TAXES. OEICs and UITs are registered Investment companies (RICs) that pass all income taxes to the shareholders. The amount of tax depends on dividends and capital gains earned by the fund. Managed portfolios incur a higher tax burden due to the more frequent turnover of portfolio securities. Consequently, mutual fund shareholders pay taxes on unrealized capital gains that ETF shareholders don’t have to pay. In theory, UITs are more tax efficient than OEICs.

INVESTMENT PERFORMANCE. During the 10 year period of 2006-2015, the compound annual growth rate of Standard and Poor’s 500 Total Return Index was 7.2%. In comparison, the growth rates of an index ETF (ticker: SPY) and an index mutual fund (ticker: VFINX) were 7.1% and 7.0% respectively. The slight differences in performance were due to an expense ratio, tracking error, and pricing error of the investment funds compared to the index.

OTHER INDEX FUNDS. There are indices to measure the investment performance of bonds, commodities, precious metals, and other assets. Likewise, there are mutual funds and ETFs that track the various indices. Bond index funds are managed by OEICs and require frequent turnover of the underlying bonds. The index funds for commodities, precious metals, and other assets are structured as grantor trusts, partnerships, or debt instruments. Stock index funds are generally less expensive, taxed at lower rates, and less risky than other index funds. Leveraged ETFs are exceptionally risky investments designed for same-day trading.

CONCLUSION. A broad-market stock index fund is the correct investment for earning returns from the entire stock market or a sector of the stock market. Simply choose an established, reputable index for the particular market that interests you. Then choose an established, reputable mutual fund or ETF that imitates the index. Use screeners or reputable fund families to select appropriate funds. Verify the fund’s expense ratio, extra fees (if any), NAV, longevity, and passive management by reading the prospectus and/or research reports. XTF.com is a free and excellent rating service for screening and assessing ETFs. Cross check your research with a trusted broker.