What is the
best way to resurrect a semi-dying financial blog? My answer is "by
beginning a process of classification of Italian stocks based on two important
accounting based detective models: Altman’s
Z-Score and Beneish M-Score".
HOW WE WILL
PROCEED
Every end of
week:
-
we’ll calculate the scores for the
two company whose stock have appreciated/depreciated more looking at a 12
months rolling window (performance in EUR);
-
we'll assign a precise title for
each post: [date] + [ticker] + [name] + [1 yr. perf. {of the highest performing
stock}] & [ticker] + [name] + [1 yr. perf. {of the lowest performing
stock}] (for example see “191101_[EXSY] [Expert
System S.p.A.] [+138%] and [ON] [Bio On Spa] [-80%]_Altman&Beneish”);
-
we'll take the numbers from the
published annual reports, showing how we arrive at those numbers, providing all
the dates of the financial statement of reference and the performance from the
date of approval of the financial statements vs the FTSEMIB Index.
WHY
This exercise
should be useful in many ways:
-
we will gradually build a library of facts: considering that we have only 317 names in Italy with full financials
available and a at least 1 year of stock returns, if we can keep this promise
of 2 stocks a week, at the end of year 1 we’ll already have 104 names and in
only 3 year we’ll have built a full database of Italian stocks
-
thanks to this due-diligence exercise
(checking out numbers directly from annual reports) our knowledge of the
Italian market should accumulate gradually;
-
calculation of those scores can help
to actively contribute detecting corporate malfunction and therefore avoiding
permanent loss investing in the wrong stocks.
THE 1st
SCORE: “ALTMAN Z-SCORE”
The Z-Score is
a model used to predict whether a company is in financial distress.
First coined out in 1968 by Edward I. Altman, a professor at the Stern School
of Business at New York University, it is a quantitative model used to
distinguish between surviving and failing companies based on information
gathered from published financial statements.
Z = (1.2X1) +
(1.4X2) + (3.3X3) + (0.6X4) + (1.0X5)
where
X1 = Working
Capital/Total Assets
X2 = Retained
Earnings/Total Assets
X3 = EBIT/Total
Assets
X4 = Equity at
Market/Total Debt
X5 = Net Sales/Total Assets
Variable Name
|
Description
|
Rationale
|
X1
|
Working Capital/Total Assets
|
The working capital/total
assets ratio, frequently found in studies of corporate problems, is a measure
of the net liquid assets of the firm relative to the total capitalization.
Working capital is defined as the difference between current assets and
current liabilities. Liquidity and size characteristics are explicitly
considered. Ordinarily, a firm experiencing consistent operating losses will
have shrinking current assets in relation to total assets.
|
X2
|
Retained Earnings/Total Assets
|
Retained earnings is the
account which reports the total amount of reinvested earnings and/or losses
of a firm over its entire life. The age of a firm is implicitly considered in
this ratio. For example, a relatively young firm will probably show a low
RE/TA ratio because it has not had time to build up its cumulative profits.
Therefore, it may be argued that the young firm is somewhat discriminated
against in this analysis, and its chance of being classified as bankrupt is
relatively higher than that of another older firm, ceteris paribus. But, this
is precisely the situation in the real world. The incidence of failure is
much higher in a firm’s earlier years. In addition, the RE/TA ratio measures
the leverage of a firm. Those firms with high RE, relative to TA, have
financed their assets through retention of profits and have not utilized as
much debt.
|
X3
|
Earnings Before Interest
and Taxes/Total Assets
|
This ratio is a measure
of the true productivity of the firm’s assets, independent of any tax or
leverage factors. Since a firm’s ultimate existence is based on
the earning power of its assets, this ratio appears to be particularly
appropriate for studies dealing with corporate failure. Furthermore,
insolvency in a bankrupt sense occurs when the total liabilities exceed a
fair valuation of the firm’s assets with value determined by the earning
power of the assets.
|
X5
|
Sales/Total Assets
|
The capital-turnover
ratio is a standard financial ratio illustrating the sales generating ability
of the firm’s assets. It is one measure of management’s capacity in dealing
with competitive conditions.
|
Meaning of the
cut-off points:
Distress
Zones <--
|
Z < 1.81
|
Grey Zones <--
|
1.81 <Z
< 2.67
|
Non-distress
Zones <--
|
Z > 2.67
|
THE 2nd
SCORE: “BENEISH M-SCORE”
The M (“manipulation”)-Score
is a so-called fraud prediction model: it uses eight financial ratios
taken from the company accounts and apply statistical techniques in order to discriminate
between companies that have ((high probability to have) manipulated their
financial statements. Created by Professor Messod Beneish, it became famous
after students at Cornell University used it to name Enron Company as earnings
manipulators. In many ways it is similar to the Altman Z-Score, but it is
focused on detecting earnings manipulation rather than bankruptcy. M-score
model is a probability model, and as such cannot detect 100% manipulation. It
is important to note that financial institutions were excluded from the sample
in Beneish’s paper when calculating M-Score.
M = -4.84 +0.92*DSRI +0.528*GMI
+0.404*AQI +0.892*SGI +0.115*DEPI -0.172*SGAI +4.679*TATA -0.327*LEVI
where
Variable Name
|
Description
|
Rationale
|
DSRI = Days Sales in
Receivables Index
|
(Receiv. t/Sales t) / (Receiv.
t-1/Sales t-1)
|
When DSRI > 1 examine
the situation. This variable gauge whether receivables and revenues are in or
out-of-balance in two consecutive years. A large increase in days sales in
receivables could be the result of a change in credit policy to spur sales in
the face of increased competition, but disproportionate increases in
receivables relative to sales may also be suggestive of revenue inflation.
|
GMI = Gross Margin Index
|
(Gross Margin t-1) / (Gross
Margin t)
|
When GMI > 1 it
indicates that gross margins have deteriorated (declining operational
efficiency). Deteriorating margins predispose firms to manipulate earnings.
|
AQI = Asset Quality Index
|
[(TA t -CA t -PPE t)/TA t] / [(TA t-1 -Cur.A.
t-1 -PPE t-1)/TA t-1]
where PPE is property plant and equipment net, CA are Current Assets and TA are Total Assets |
All non-current assets
other than PPE as a percent of total assets in t divided by the same ratio in
t-1.
When AQI > 1 it indicates that the firm has potentially increased its involvement in cost deferral or excessive expenditure capitalization and deferred costs. |
SGI = Sales Growth Index
|
(Sales t) / (Sales t-1)
|
Managing the perception
of continuing growth and capital needs predispose growth firms to manipulate
sales and earnings.
Growth does not imply
manipulation, but growth firms are viewed by professionals as more likely to
commit financial statement fraud because their financial position and capital
needs put pressure on managers to achieve earnings targets.
|
DEPI = Depreciation Index
|
Depr.R. t-1 / Depr.Rate t
where Depr.R.=depreciation rate, equals Depreciation / (Depreciation+PPE]) |
When > 1 it indicates
that the rate at which assets are depreciated has slowed down, raising the
possibility that the firm has revised upwards the estimates of assets useful
lives. Captures declining depreciation rates as a form of earnings
manipulation.
|
SGAI = Sales General and
Administrative Expenses Index
|
(SGA t / Sales t) / (SGA
t-1/Sales t-1)
|
Decreasing administrative
and marketing efficiency (larger fixed SGA expenses) predisposes firms to
manipulate earnings
|
TATA = Total Accruals to
Total Assets
|
(Income Before
Extraordinary Items t- Cash from Operations t)/ Total Assets t
|
When TATA > 1 indicates
that a growing percentage of the entity’s working capital is comprised of non
cash items. Examine the situation. Capture where accounting profits are not
supported by cash profits. (…) expect higher positive accruals (less cash) to
be associated with a higher likelihood of earnings manipulation.
|
LVGI = Leverage Index
|
Leverage t / Leverage t-1
where Leverage is calculated as debt to assets
|
Increasing leverage
tightens debt constraints and predisposes firms to manipulate earnings
|
LEGENDA:
“Receiv./Sales” = Accounts Receivable to
Sales Ratio --> is a business liquidity ratio that measures how much of the
company’s sales occur on credit.
When a company has a larger percentage of
its sales happening on a credit basis, it may run into short-term liquidity
problems. Such a scenario may happen if a company is running low on cash due to
a lack of cash sales in the business cycle. It refers to sales that have
occurred on credit, meaning that the company has not yet collected the cash
proceeds from these sales. Found in the “current assets” section of the balance
sheet. Sales refers to all sales that the company has realized over the given
accounting period, including sales on credit and cash sales. Found on the
income statement.
“Gross Margin” = gross profit margin ratio
--> is a profitability ratio. It shows how much profit a company makes after
paying off its Cost of Goods Sold (COGS). Gross Margin Ratio = (Revenue – COGS)
/ Revenue
Meaning of the
cut-off points:
Financial
statements may have been manipulated <--
|
M > -2.22
|
Financial
statements not manipulated <--
|
M < -2.22
|
CONCLUSIONS
I like using
these kind of accounting-based fundamental analysis methodologies (another
great example is [Piotroski, 2000]) because they force me to purely follow the
numbers, step by step, limiting the interference that market driven price
actions (stimulating "behavioral economics instincts") could have on
our rational decision making process.
I hope this
exercise, surely useful for me, could be useful for other people too.
Sources:
-
Altman, E.I. (2000). Predicting
Financial Distress Of Companies-Revisiting The Z-Score And Zeta Models.
-
Beneish, M.D. (1999). The
Detection of Earnings Manipulation.
-
Beneish M.D., Lee C.M.C., Nichols
D.C. (2012). Fraud Detection and Expected Returns.
-
MacCarthy, J. (2017). Using
Altman Z-score and Beneish M-score Models to Detect Financial Fraud and
Corporate Failure: A Case Study of Enron Corporation. International Journal
of Finance and Accounting.
-
https://corporatefinanceinstitute.com/
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