Introduction
The purpose of this article is twofold; to propose a set of "most preferred" financial ratios and to test the relationship between financial ratios and stock returns. We select sets of financial ratios from a sample of recommendation reports by leading equity analysts. Then, we test a model on which stock returns are regressed on financial ratios. Results are discussed in terms of financial theory.
Two sets of results are provided: (1) most preferred financial ratios by equity analysts in Mexico, and (2) econometric tests on the relation of financial ratios and future stock returns. Results of this study might be of importance for diverse users of financial ratios (e.g., academics, corporate managers, banks). The high number of financial ratios used in practice could confuse users due to overlapping information. Thus, a reduced set, selected from a group of sophisticated users (e.g., equity analysts), might be valuable by itself. This information set is additionally valuable for the predictive ability of the selected ratios.
Overall, our proposed sets of most preferred ratios have predictive power, and the estimators have the signs as predicted by theory; supporting the proposition that those ratios indeed represent a set of valuable financial information. By using results from this study, users could become more selective about the information to use for financial analysis. Equity analysts would be interested in which ratios were used by competitors and firms interested in which ratios were used by equity analysts, which could lead to improved decision making by both parties. Moreover, since the literature on the use of financial ratios is scarce and focused primarily on the US market, we contribute to the finance literature.
Literature review
A recurring research question has been whether financial ratios predict firm performance. Wang and Lee (2010) used financial ratio categories (leverage, solvency, turnover, and profitability) to create a matrix that provide an estimate of the strength of a firm within the shipping industry in Taiwan. Recently, in a similar study of the U.S. agricultural industry, Katchova and Enlow (2013) used the DuPont ratios to compare return on equity components of agribusiness firms, finding that asset turnover was the most predictive ratio, leading to a stronger financial performance. In general, financial ratios have been used as inputs to forecast a number of business related situations such as financial distress, credit ratings, risk, future cash flows, among others (Beaver, 1966; Call, 2008).
A popular research area has been investigating the statistical relationship between financial ratios and stock returns since ratios are perceived as useful in forecasting future rates of returns (Barnes, 1987). Literature on stock predictability has evolved over the past few decades. Initial evidence that market returns are predictable was questioned by later studies that found such predictions did not hold in subsamples. Nonetheless, once methodological corrections have been made, some financial ratios, particularly dividend yield, earnings per share, and book to market value of equity have been found to consistently forecast market returns for long periods (Lewellen, 2004).1 A challenge on those studies is the selection of financial ratios to test since ratios tend to contain overlapping information.
A group of researchers has relied on statistical techniques to tease the relevant information out. Delen, Kuzey, & Uyar (2013) first used factor analysis to identify underlying dimensions of the ratios, followed by predictive modeling methods to determine relationships between firm performance and financial ratios. The authors found that the earnings before tax to equity ratio and net profit margin were the two most important variables in predicting future performance. Chen and Shimerda (1981) employed principal component analysis to 34 financial ratios that were useful in various studies on prediction of bankruptcy and found that all ratios were highly correlated to seven major factors. That is, many ratios revealed the same information. Such findings indicate that there is an opportunity to reduce the number of ratios employed to a much more limited but still representative set.
As an empirical alternative to factor analysis, researchers have surveyed security analysts about their opinion of the usefulness of financial ratios. Matsumoto, Shivaswamy, & Hoban (1995) surveyed security analysts, asking them to assume that they were analyzing a NYSE-listed firm. Analysts were asked to rate, in a 1-5 Likert-type scale, the usefulness of 63 financial ratios organized into 13 groups. The authors reported that the most important ratios were growth rates such as earnings per share (EPS) growth and sales growth, followed by valuation ratios (Price to Earnings and Market to Book), profitability ratios, and leverage ratios. Inventory turnover, receivables turnover, cash flow ratios and dividend ratios were moderately important with capital turnover and cash position ratios the least important. Gibson (1987) conducted a survey among Certified Financial Analysts charter-holders and found that analysts assigned the highest significance ratings to profitability ratios followed by the Price to Earnings ratio. Debt ratios, liquidity ratios and the rest of "other ratios" are lower in importance.
In this study, we test the relationship between sets of selected financial ratios and stock returns of firms in the Mexican Stock Exchange index. To select financial ratios, a sample of recommendation reports by equity analysts is studied. Unlike previous studies, our set of financial ratios is comprehensive as it includes all categories of ratios used in practice by a group of sophisticated financial users. Two sets of results are provided: (1) most preferred financial ratios by equity analysts in Mexico, and (2) econometric tests on the relation of financial ratios and future stock returns.
Our results on the most preferred financial ratios are, in general, consistent with Matsumoto et al. (1995) and Gibson (1987) as we find that valuation, profitability, and leverage ratios are the most used categories by research analysts following equities listed on the Mexican stock exchange. However, our findings differ about the relative importance of types of ratios. Furthermore, unlike previous research, we document that cash flow related ratios such as free cash flow yield and dividend yield, are of relatively high importance to financial analysts. In addition, our selection of preferred ratios based on analysts' reports and recommendations have predictive power in terms of future t + 4 (i.e., 1-year ahead) stock returns, with signs of estimators according to financial theory.
Data
We use two types of data: recommendation reports by equity analysts, and historical financial statement data and stocks prices of publicly traded Mexican firms.
Recommendation reports by equity analysts
Recommendation reports were obtained during the first quarter of 2011 from ISI Emerging Markets (ISI).2 All equity reports available on ISI, with an explicit buy, hold, or sell recommendation, were retrieved. The sample, 72 reports, from 40 firms, was restricted to non-financial firms trading on the Mexican Stock Exchange (MSE).3 Appendix 1 shows firms in the sample and presents some of their general characteristics including industry, annual revenues, and an indication of whether the firm was part of the MSE index or not. The MSE index contained 35 equity as of April 2011, with 6 financial firms and 29 non-financial firms. Of the 40 firms in our sample, for the regression analysis, we use the 29 non-financial firms that were part of the MSE index, implying that our sample represents the Mexican Stock Exchange market. Equity analysts are from J.P. Morgan, HSBC Global Research, Credit Suisse, among others.
Accounting data and stock prices
Accounting data and stock prices, from 1995 to 2011, are from Economatica. We use quarterly data, with variables from the income statement and the statement of cash flow annualized every quarter. That is, quarterly data are converted to trailing 12 months (TTM) data by adding figures from the current and previous three quarters to avoid within-year seasonality effects. This sample, used for the regression analysis, includes about 1150 firm-TTM observations.
Methods
Most preferred financial ratios
We use the recommendation reports sample to select the most preferred financial ratios. We find that equity analysts in the sample use standard templates, with the same financial ratios, regardless of the firm or industry covered. We assume they include financial ratios of their preference in their firm's standard template. Thus, we count the financial ratios used by analysts in the sample. While simple, this way of selecting the most used (preferred) financial ratios is straightforward and objective. Table 1 provides the frequency of use. Financial ratios are categorized as accounting ratios, valuation ratios or multiples; cash flow ratios, and other ratios. Accounting ratios are further grouped into profitability ratios and margins, and leverage or debt management ratios.4
Financial indicator\analyst | BBVA | CS | BB & T | DB | HSBC | Itau | JPM | MT | ST | VE | Total |
---|---|---|---|---|---|---|---|---|---|---|---|
Number of recommendations | 8 | 15 | 1 | 9 | 15 | 8 | 4 | 1 | 7 | 4 | 72 |
Profitability ratios and margins | |||||||||||
EBITDA margin | X | X | X | X | X | X | X | 7 | |||
Return on equity (ROE) | X | X | X | X | X | X | X | 7 | |||
EBIT margin | X | X | X | X | X | 5 | |||||
Return on investment (ROI) | X | X | X | X | X | 5 | |||||
Return on assets (ROA) | X | X | X | X | 4 | ||||||
Revenue to invested capital | X | 1 | |||||||||
Extended DuPont | X | 1 | |||||||||
Leverage or debt management | |||||||||||
Net debt to EBITDA | X | X | X | X | X | 5 | |||||
Net debt to equity | X | X | X | X | X | 5 | |||||
Interest coverage | X | X | X | 3 | |||||||
EBITDA to net interest expenses | X | X | 2 | ||||||||
Net debt to total capitalization | X | 1 | |||||||||
Debt to total capitalization | X | 1 | |||||||||
Assets to equity | X | 1 | |||||||||
Cash flows from op. to net debt | X | 1 | |||||||||
Multiples or valuation ratios | |||||||||||
Price to earnings (PE) | X | X | X | X | X | X | X | X | X | 9 | |
Firm value (FV) to EBITDA | X | X | X | X | X | X | X | X | X | 9 | |
Price to book value | X | X | X | X | X | X | X | 7 | |||
Price to sales | X | X | X | 3 | |||||||
Firm value (FV) to sales | X | X | X | 3 | |||||||
Firm value (FV) to EBIT | X | X | 2 | ||||||||
FV to invested capital | X | X | 2 | ||||||||
Price to capital employed | X | 1 | |||||||||
Cash flows | |||||||||||
Dividend yield | X | X | X | X | X | X | X | X | 8 | ||
Free cash flow (FCF) yield | X | X | X | X | X | X | X | 7 | |||
Dividends payout | X | X | 2 | ||||||||
Working capital to sales | X | 1 | |||||||||
CAPEX to operating cash flow | X | 1 | |||||||||
CAPEX to dep. & amortization | X | 1 | |||||||||
CAPEX to sales | X | 1 | |||||||||
Other | |||||||||||
Earnings per share (EPS) | X | X | X | X | X | X | X | X | X | X | 10 |
Sales growth | X | X | X | X | X | X | X | X | 8 | ||
Dividends per share | X | X | X | X | X | X | X | 7 | |||
Earnings per share (EPS) growth | X | X | X | X | X | X | 6 | ||||
Free cash flow (FCF) growth | X | X | X | X | 4 | ||||||
Free cash flow (FCF) per share | X | X | 2 |
BBVA stands for BBVA Bancomer; CS is Credit Suisse; BB&T is BB&T Capital Markets; DB is Deutsche Bank; HSBC is HSBC Global Research; Itau is Itaú BBA; JPM is J.P. Morgan; MT is Miller Tabak + Comp.; ST is Santander; VE is ValuEngine. EBITDA is earnings before interest, taxes, depreciation, and amortization; EBIT is earnings before interest and taxes; Net Debt is debt minus cash; CAPEX is capital expenditures. Financial ratios might be calculated slightly different among financial analysts (most analysts do not disclose their formulas). In Table 3, we specify how financial ratios are estimated for the empirical results in this study.
We define "most preferred" ratios as those that are used by 50% or more of the analysts in the sample.5 This reduces the set from 36 ratios used in practice by equity analysts, according to the sample, to fourteen most preferred ratios, summarized in Table 2.6
Profitability and margins | Valuation or multiples | Cash flow |
EBITDA margin (7) | Price to earnings (9) | Dividend yield (8) |
Return on equity - ROE (7) | Firm value (FV) to EBITDA (9) | Free cash flow yield (7) |
Return on investment - ROI (5) | Price to book value (7) | |
EBIT margin (5) | ||
Leverage or debt management | Other | |
Net debt to EBITDA (5) | EPS (and EPS growth) (10) | |
Net debt to equity (5) | Sales growth (8) | |
Dividends per share (7) |
Frequency of use of financial ratio among equity analysts, out of ten, indicated in parenthesis. Financial ratios might be calculated slightly different among financial analysts (most analysts do not disclose their formulas). In Table 3, we specify how financial ratios are estimated for the empirical results in this study.
Regressions
Our main interest is to examine whether the most preferred financial ratios used by equity analysts might predict stock performance. We use a two-way random effects model for our regression analysis. The regression model we estimate takes the form:
where RET is stock return at quarter t + n ; n is 4 for 1 year future returns or 8 for 2 years. FI are alternative sets of most preferred financial ratios (specified in the next section) at quarter t and log (MVE ), the logarithm of the market capitalization of the firm's equity, and BETA , the measure of systematic risk, act as control variables. Variables for Eq. (1) are computed using accounting data and stock prices obtained from Economatica, from 1995 to 2011, for firms included in the MSE index.
We control for serial correlation and heteroscedasticity using the Newey-West correction of standard errors.7
Table 3 provides descriptive statistics and Table 4 provides Pearson correlation coefficients of the main variables used in the study. These correlation coefficients help to avoid the inclusion of highly correlated variables in the models, as we explain next.
Variable | N | Mean | Std dev | Minimum | Maximum |
---|---|---|---|---|---|
Stock returns, t + 4 | 1138 | 0.28 | 0.58 | −0.91 | 5.04 |
Stock returns, t + 8 | 1016 | 0.21 | 0.55 | −0.91 | 5.04 |
Price to earnings | 1155 | 15.70 | 54.77 | −511.14 | 910.43 |
Firm value to EBITDA | 1155 | 7.94 | 17.77 | −363.27 | 325.95 |
EBITDA margin | 1155 | 0.43 | 0.87 | −0.01 | 7.51 |
ROI | 1155 | 0.08 | 0.49 | −9.11 | 10.07 |
Dividend yield | 1155 | −0.04 | 0.12 | −0.80 | 1.00 |
Free cash flow yield | 1155 | 0.18 | 0.74 | −3.61 | 14.30 |
Net debt to equity | 1155 | 0.92 | 0.73 | −0.17 | 4.12 |
Earnings per share growth | 1155 | 0.08 | 1.42 | −17.13 | 25.58 |
Sales growth | 1155 | 0.09 | 1.32 | −0.98 | 43.97 |
ROE | 1155 | 0.12 | 0.16 | −1.47 | 0.69 |
Net debt_to_EBITDA | 1155 | 2.65 | 12.15 | −298.51 | 194.27 |
Dividends per share | 1155 | −0.06 | 0.16 | −2.04 | 0.77 |
Price to book | 1155 | 2.18 | 3.83 | 0.01 | 35.84 |
EBIT margin | 1155 | 0.35 | 0.81 | −0.33 | 8.08 |
Variables are estimated as follows. Stock Return is the change in prices (price in year t divided by price in year t − 1) one-year (t + 4) and two-years ahead (t + 8). Price to earnings is stock price as of the end of the quarter divided by trailing 12 months (TTM) earnings per share. Firm value to EBITDA is firm value, defined as market capitalization (stock price times number of shares outstanding) plus total liabilities minus cash and short term investments, all divided by TTM earnings before interest, taxes, depreciation and amortization (EBITDA). EBITDA margin is TTM EBITDA divided by TTM revenues. ROI is return on investment, defined as TTM net operating profits after taxes divided by investment, where investment is common equity plus short term debt plus long term debt minus cash and short term investments. Dividend yield is dividends paid per share divided by stock price. Free cash flow yield is free cash flow per share, defined as TTM cash flow from operations minus TTM net investment in property, plant and equipment (Net CAPEX) divided by common shares outstanding, divided by stock price. Net debt to equity is total liabilities minus cash and short term investments, all divided by common equity. Earnings per share growth is the change of the ratio of net earnings divided by number of shares outstanding. Sales growth is the change of TTM revenues. ROE is net income divided by common equity. Net debt to EBITDA is total liabilities minus cash and short term investments, all divided by TTM EBITDA. Dividends per share is dividends paid divided by shares outstanding. Price to book is stock price divided by the common equity per shareoutstanding. EBIT margin is earnings before interest and taxes divided by revenues.
P_E | FV EB | EBD M | ROI | DIVY | FCF Y | DEQ | EPS g | Sales g | ROE | DEB | DPS | PB | EBIT% | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
P_E | 1.00 | 0.09*** | 0.02 | 0.04 | 0.06** | −0.06** | 0.07** | −0.01 | 0.00 | 0.03 | −0.01 | 0.03 | 0.52*** | 0.02 |
FV EB | 0.09*** | 1.00 | −0.10*** | −0.02 | 0.09*** | −0.09*** | 0.11*** | 0.02 | −0.01 | −0.09*** | 0.92*** | 0.04 | 0.18*** | −0.10*** |
EBD M | 0.02 | −0.10*** | 1.00 | 0.30*** | −0.30*** | 0.19*** | −0.01 | 0.02 | −0.01 | 0.16*** | −0.05** | 0.00 | 0.03 | 0.98*** |
ROI | 0.04 | −0.02 | 0.30*** | 1.00 | −0.09*** | 0.05* | 0.02 | −0.01 | 0.00 | 0.07** | −0.02 | 0.01 | 0.09*** | 0.30*** |
DIVY | 0.06** | 0.09*** | −0.30*** | −0.09*** | 1.00 | 0.06** | 0.12*** | 0.01 | −0.01 | −0.06** | 0.03 | 0.39*** | 0.13*** | −0.29*** |
FCF Y | −0.06** | −0.09*** | 0.19*** | 0.05* | 0.06** | 1.00 | 0.00 | −0.01 | −0.01 | 0.03 | −0.02 | 0.03 | −0.11*** | 0.19*** |
DEQ | 0.07** | 0.11*** | −0.01 | 0.02 | 0.12*** | 0.00 | 1.00 | 0.08*** | 0.02 | −0.06** | 0.11*** | 0.13*** | 0.31*** | −0.02 |
EPS g | −0.01 | 0.02 | 0.02 | −0.01 | 0.01 | −0.01 | 0.08*** | 1.00 | −0.01 | −0.20*** | 0.03 | 0.02 | −0.01 | 0.01 |
Sales g | 0.00 | −0.01 | −0.01 | 0.00 | −0.01 | −0.01 | 0.02 | −0.01 | 1.00 | −0.02 | 0.00 | 0.00 | −0.01 | −0.01 |
ROE | 0.03 | −0.09*** | 0.16*** | 0.07** | −0.06** | 0.03 | −0.06** | −0.20*** | −0.02 | 1.00 | −0.09*** | −0.12*** | 0.13*** | 0.15*** |
DEB | −0.01 | 0.92*** | −0.05* | −0.02 | 0.03 | −0.02 | 0.11*** | 0.03 | 0.00 | −0.09*** | 1.00 | 0.03 | 0.00 | −0.05* |
DPS | 0.03 | 0.04 | 0.00 | 0.01 | 0.39*** | 0.03 | 0.13*** | 0.02 | 0.00 | −0.12*** | 0.03 | 1.00 | 0.04 | 0.00 |
PB | 0.52*** | 0.18*** | 0.03 | 0.09*** | 0.13*** | −0.11*** | 0.31*** | −0.01 | −0.01 | 0.13*** | 0.00 | 0.04 | 1.00 | 0.03 |
EBIT% | 0.02 | −0.10*** | 0.98*** | 0.30*** | −0.29*** | 0.19*** | −0.02 | 0.01 | −0.01 | 0.15*** | −0.05* | 0.00 | 0.03 | 1.00 |
***PE is price to earnings, FV EB is firm value to EBITDA, EBD M is EBITDA margin, ROI is return on investment, DivY is dividend yield, FCF Y is free cash flow yield, DEQ is net debt to equity, EPS g is earnings per share growth, Sales g is sales growth, ROE is return on equity, DEB is net debt to EBITDA, DPS is dividends per share, PB is price to book, and EBIT% is EBIT margin. Variables estimated as stated in Table 3. 1% statistical significance level.
** 5% statistical significance level.
* 10% statistical significance level.
We have five FI categories (e.g., valuation, profit and margins, etc.). To reduce multicollinearity, alternative models are run with one variable per category. To avoid redundancy of information, and to have the number of variables/models manageable and results feasible to discuss in this article, we reduce the number of most preferred ratios from Table 2 following two criteria. (1) Financial ratios with high correlation coefficients are excluded from the models and (2) when two variables are similar, the most theoretically robust variable is included in the models.
First, ROE is statistically correlated with all financial ratios, but FCFY and Sales g (Table 4), so it is excluded from the regressions. Between EBITDA margin and EBIT margin, similar ratios, the former is chosen since it contains additional valuable information (depreciation and amortization). FV to EBITDA is chosen over price to earnings because the former is a more comprehensive measure than P /E , capturing both the relationship between market price and earnings and leverage. Net Debt to EBITDA is also excluded as the correlation between FV to EBITDA and Net Debt to EBITDA is very high (0.92, Table 4), and FV to EBITDA is used by 9 out of 10 equity analysts. Finally, dividends per share is considered redundant for the regressions as we have dividends yield and price to earnings per share. Thus, we use eight models for the empirical tests.8
Model 1: FV EBITDA, EBITDA margin, dividend yield, net debt to equity, EPS growth,
Model 2: FV EBITDA, EBITDA margin, dividend yield, net debt to equity, sales growth,
Model 3: FV EBITDA, EBITDA margin, FCF yield, net debt to equity, EPS growth,
Model 4: FV EBITDA, EBITDA margin, FCF yield, net debt to equity, sales growth,
Model 5: FV EBITDA, ROI, dividend yield, net debt to equity, EPS growth,
Model 6: FV EBITDA, ROI, dividend yield, net debt to equity, sales growth,
Model 7: FV EBITDA, ROI, FCF yield, net debt to equity, EPS growth, and
Model 8: FV EBITDA, ROI, FCF yield, net debt to equity, sales growth.
Results
Most preferred financial ratios
Tables 1 and 2 show the most preferred financial ratios used by equity analysts. This differs from what a typical financial textbook presents, especially pertaining to accounting ratios. Accounting ratios are usually classified in textbooks as profitability and margin ratios, asset turnover or efficiency ratios, liquidity, and leverage or management ratios. Equity analysts in this sample do not use liquidity or asset turnover ratios; instead, they concentrate on profitability and margins, and leverage. Probably equity analysts use cash flow related ratios as better substitutes for turnover and liquidity ratios.
Net debt to EBITDA and net debt to equity are the debt management ratios preferred by analysts. Textbooks, in general, do not mention net debt (defined as debt minus cash and cash equivalents), or net debt to EBITDA. This may be because net debt is used more by practitioners than by academics and instructors according to Bates, Kahle, & Stulz (1999).
Concerning valuation ratios or multiples, price to earnings (PE), firm value (FV) to EBITDA, and price to book value (P /B ) are by far the most preferred multiples. Among cash flow ratios, dividend yield and free cash flow yield are most preferred.9 In general, cash flow ratios, are as common, in terms of frequency of use, as earnings and price related ratios. This supports the idea that cash flows are at least as important as earnings. Furthermore, we observed that, with one exception, all analysts in the sample included cash flow statements projections in their reports, implying that cash flow metrics are highly valued by equity analysts. Concerning this, Call, Chen, & Tong (2009) suggest that earnings forecasts of analysts accompanied by cash flow forecasts could be more accurate than earnings forecasts without cash flow forecasts.
In the "Other" category, earnings per share (EPS), sales growth, and dividends per share are most preferred. This is consistent with the findings in Matsumoto et al. (1995) who surveyed analysts in the U.S. In their study, analysts ranked EPS and sales growth rates as the most important financial ratios for both retailers and manufacturing firms. Finally, according to results in Table 2, EBITDA is common across ratio categories. This is surprising, as EBITDA could be a misleading metric (Stumpp, 2000).
Financial ratios and stock returns
Table 5 provides regression results for all eight models with t + 4 stock returns (i.e., 1 year future returns) as the dependent variable. The market return (BETA ), to capture the firms' systematic betas from the market model (MacKinlay, 1997), and the natural logarithm of market capitalization (log (MVE )) are included to control for risk and size.10 In addition, we controlled by industry using industry dummies.
Model 0 | Beta | Size | |||||
Estimate | 1.158*** | −0.141*** | |||||
T Value | 4.570 | −11.720 | |||||
Adj R2 | 0.116 | ||||||
Model 1 | Beta | Size | FV EB | EB M | DivY | DEQ | EPS g |
Estimate | 1.159*** | −0.118*** | −0.002*** | 0.102*** | −0.358*** | 0.097*** | 0.011*** |
T | 6.050 | −18.410 | −23.240 | 18.040 | −11.900 | 6.010 | 3.620 |
Adj R2 | 0.168 | ||||||
Model 2 | Beta | Size | FV EB | EB M | DivY | DEQ | Sales g |
Estimate | 1.159*** | −0.119*** | −0.002*** | 0.103*** | −0.354*** | 0.100*** | 0.010*** |
T | 6.050 | −18.460 | −23.090 | 17.720 | −11.710 | 5.860 | 13.650 |
Adj R2 | 0.168 | ||||||
Model 3 | Beta | Size | FV EB | EB M | FCF Y | DEQ | EPS g |
Estimate | 1.159*** | −0.128*** | −0.002*** | 0.123*** | −0.053*** | 0.092*** | 0.010*** |
T | 5.990 | −19.970 | −22.410 | 21.170 | −11.350 | 5.680 | 3.210 |
Adj R2 | 0.167 | ||||||
Model 4 | Beta | Size | FV EB | EB M | FCF Y | DEQ | Sales g |
Estimate | 1.158*** | −0.129*** | −0.002*** | 0.125*** | −0.054*** | 0.095*** | 0.010*** |
T | 5.990 | −20.030 | −22.270 | 20.710 | −11.390 | 5.540 | 13.550 |
Adj R2 | 0.167 | ||||||
Model 5 | Beta | Size | FV EB | ROI | DivY | DEQ | EPS g |
Estimate | 1.152*** | −0.130*** | −0.002*** | 0.059*** | −0.446*** | 0.058*** | 0.013*** |
T | 5.810 | −19.940 | −22.860 | 10.100 | −14.780 | 3.710 | 4.140 |
Adj R2 | 0.158 | ||||||
Model 6 | Beta | Size | FV EB | ROI | DivY | DEQ | Sales g |
Estimate | 1.151*** | −0.131*** | −0.002*** | 0.059*** | −0.443*** | 0.061*** | 0.011*** |
T | 5.800 | −20.020 | −22.660 | 10.010 | −14.600 | 3.670 | 14.140 |
Adj R2 | 0.157 | ||||||
Model 7 | Beta | Size | FV EB | ROI | FCF Y | DEQ | EPS g |
Estimate | 1.150*** | −0.144*** | −0.002*** | 0.063*** | −0.045*** | 0.04** | 0.012*** |
T | 5.670 | −21.590 | −21.740 | 10.140 | −8.750 | 2.500 | 3.820 |
Adj R2 | 0.150 | ||||||
Model 8 | Beta | Size | FV EB | ROI | FCF Y | DEQ | Sales g |
Estimate | 1.149*** | −0.145*** | −0.002*** | 0.062*** | −0.045** | 0.043** | 0.011*** |
T | 5.670 | −21.670 | −21.540 | 10.060 | −8.790 | 2.520 | 14.320 |
Adj R2 | 0.149 |
***Stock returns are cumulative annual stock returns for 1 year. Beta is the systematic risk beta of the market model, Size is the natural logarithm of market capitalization, FV EB is firm value to EBITDA, EB M is EBITDA margin, ROI is return on investment, DivY is dividend yield, FCF Y is free cash flow Yield, DEQ is net debt to equity, EPS g is earnings per share growth, and Sales g is sales growth. Variables estimated as stated in Table 3. T and P are t-values and p-values respectively. T-values are corrected for serial correlation and heteroscedasticity using Newey-West estimator for standard errors. Variables estimated as stated in Table 3. 1% statistical significance level.
**5% statistical significance level.
With the exception of the estimate for net debt to equity (DEQ ) in models 7 and 8, all coefficients are statistically significant at 1% level. Furthermore, signs of coefficients are consistent across all eight models in Table 5.11
The estimate for FV to EBITDA (FV EB ) is negative, consistent with the view that managers are pressured to decrease multiples every period so their stock be perceived by investors as less expensive. EBITDA margin (EB M ) and return on investment (ROI ) are positive (e.g., higher profitability ratios and margins increase stock returns). Dividend yield (DivY ) is negative; when dividends are paid, stock price declines. Furthermore, firms with high dividend yields are generally large, stable, mature firms with low growth prospects. This result is consistent with our sample: mature, low growth stocks that are part of the Mexican Stock Exchange index. These equities are considered to be "value" stocks with the bulk of their value coming from dividend payouts rather than from price growth.
For FCF yield (FCF Y ), the negative sign could be explained by the free cash flow hypothesis (Jensen, 1986), which states that a higher free cash flow for a given price signals higher agency costs. The positive sign of net debt to equity implies that higher leverage increases firm value, as long as leverage is not unreasonably and unsustainably high (DEQ , for models 7 and 8, is statistically significant at 5%, unlike all coefficients/models, significant at 1%).12 Finally, the signs of EPS growth (EPS g ) and Sales growth (Sales g ) are positive, as expected given the direct pressure managers have on these metrics every quarter they disclosure financial statements.
Overall, these results provide evidence that the most preferred financial ratios used in practice by equity analysts following firms on the MSE have predictive power; with the signs of coefficients as predicted by financial theory. The marginal predictive power of these models (marginal to an asset pricing model), as expected, is not very high (model 0, in Table 5, provides results of CAPM and size as control variable). It would not be possible to have a model with financial ratios having a high explanatory power, which would be the main purpose of asset pricing models, as stock price changes are very noisy.
As robustness tests (untabulated results), we also run regressions on the same variables, but using growth rates rather than levels. Results with growth variables are consistent with results with level variables. Furthermore, to test the persistency of results, we run regressions with the same variables using t + 8 stock returns (i.e., 2-years future returns). We did not find evidence on the predictive power of these ratios as time passes. That is, the magnitude of the selected financial ratios at time t could explain part of the variation of stock returns in t + 4, but when new information arrives (1 year later), the new information is incorporated into stock prices.
Conclusion
In this study, we propose a set of the most preferred financial ratios used in practice by equity analysts covering Mexican publicly traded firms. Moreover, by using regression analysis, we test the relationship between financial ratios and leading stock returns.
We find that the set of most preferred financial ratios used in practice by equity analysts differs from what a typical financial textbook presents, especially pertaining to accounting ratios. Assuming that equity analysts represent a group of sophisticated users of financial information, other users (e.g., instructors, corporate managers) could use the results of this study, when conducting financial analysis, to: (1) use a reduced set of financial ratios, as opposed to a large number of ratios as used in practice, which would in turn reduce overlapping information, or (2) introduce the use of new financial ratios used by equity analysts but not in firms or in financial textbooks.
By regressing eight alternative models (with combinations of the most preferred financial ratios) on future stock returns, we find that financial ratios predict 1-year stock returns. All estimated coefficients are statistically significant after correcting for heteroscedasticity and autocorrelation. These results hold when stock returns 1 year ahead is used as the dependent variable. The predictive power of these ratios disappears with 2-year stock returns.
We recognize two main limitations in this study. First, a better asset pricing model might be needed as a benchmark to assess the predictive power of financial ratios. Factor loading, however, is neither standardized nor readily available for such asset pricing models in Mexico. Second, a larger sample of equity analyst reports may serve as a cross check for this study. To the best of our knowledge, however, a larger collection of recommendation reports by diverse equity analysts at any given point in time is not publicly available.