The Widespread Wrong-Calculation and Wrong-Use of Central Financial Ratios

Abstract

Financial return ratios are often miscalculated in textbooks and practice because denominators are frequently based on ending balance sheet values rather than taking the average of the capital base. While this may not distort simple intra-firm or intra-industry comparisons, it leads to a flawed understanding of profitability measures and can produce misleading conclusions when ratios are used for investment analysis, valuation, or cost-of-equity benchmarking. We document the extent of this problem by examining 112 accounting and finance textbooks, extending prior work by Mankin and Jewell [1]. Using major global beer industry firms, we illustrate how different denominator conventions materially affect return ratios and their alignment with stock returns and implied cost of equity. Our findings show that denominator choice significantly influences assessments of performance and value creation. We argue that accounting standard setters could reduce confusion by providing clear, prescribed definitions for key financial ratios in management commentary for instance regulated in IFRS 18, and thereby improving financial literacy and preventing systematic misinterpretation.

Share and Cite:

Schøler, F. (2026) The Widespread Wrong-Calculation and Wrong-Use of Central Financial Ratios. Journal of Mathematical Finance, 16, 165-196. doi: 10.4236/jmf.2026.163009.

1. Introduction

The development of financial return ratios over recent decades has mainly focused on which accounting items to include. Typically, the numerator comes from the income statement and the denominator from the balance sheet, but exact entries vary widely (e.g., net income, EBIT, EBITDA for numerator; total assets, total invested capital, equity for denominator). By definition, the return ratios pair a flow number (numerator) with a stock number (denominator), raising the question of whether to use beginning, ending, or average stock numbers in the denominator—a detail which is often overlooked, since most focus is on the incorporated content. Consequently, our focus is not on which accounting items to include, but on the practical implementation of the denominator—whether one should use beginning, average, ending, or other balance sheet measures.

Return ratios serve multiple purposes in financial analyses: comparing performance over time, benchmarking against industry peers, evaluating against financial targets like cost of capital, and supporting valuation models such as EVA and Residual Income. If ratios are used narrowly (e.g., for year-by-year self-comparison or for relative industry comparisons) ending balance sheet numbers may be acceptable since all the ratios more or less use the same capital base. In contrast, they fail in absolute interpretation across financial targets due to the income appearance in both numerator and denominator, and since the ending numbers do not reflect the capital base during the period where the income is earned. Thus, we consider use of ending numbers in return ratios a misuse.

However, one leading international accounting textbook used at my university applies ending balance sheet numbers for Return on Equity aka ROE and Return on Assets aka ROA whereby it introduces a shortcut to financial ratio calculation that many accountants agree at best is misleading, and at worst explains why many students may never understand why their ratios lead to false results. A 2014 study by Mankin and Jewell [1] found only 29 of 70 textbooks recommended average stock numbers for ROA (for ROE the numbers were 20 out of 60), and recent editions of the textbooks show no change.

Notably, some authors like Penman [2] and Koller et al. [3] present real-world examples using both average and beginning-based ROE, which highlights the significance of denominator choice. Motivated by this, we collected accounting data from leading companies in the beer industry, and we aim in our study to examine and explain the differences between differently defined denominators, and thus we seek to prevent wrong-use, helping readers to avoid misleading accounting information in broader contexts.

Research Question: Despite broad consensus favouring average balances should be used in denominators, hard empirical evidence remains scarce. Many accounting practitioners use ending balances, which potentially leads to erroneous conclusions. How can this procedure be changed to improve general financial ratio accuracy and interpretation?

The reminder of the paper is organised in the following way: In Section 2, we present some relevant theoretical literature and history for the financial return ratios and their use in accounting and finance. In Section 3, we present relevant practical evidence by use of the beer industry as an illustrative case which challenge the definitions and use of return ratios. We compare and discuss the results, and in Section 4 we put our findings into an accounting context showing suggested derived perspectives for improved accounting regulation to eliminate wrong-use of return ratios (primarily ROE); and finally, we conclude the paper in Section 5.

2. The Theoretical Evidence-Literature

2.1. Theoretical Basis for Financial Ratios

Ratios, historically and now

When operating profit is related to different capital amounts, i.e., considered relatively rather than in absolute terms, this return ratio is referred to as profitability ratio. ROA represents the profitability ratio of all capital employed in the business, regardless of whether the financing is through equity, debt, or both, while ROE refers to the profitability of the equity employed in the business.

Horrigan made a thorough update on the historical development of financial ratios in [4], and he found that while the first useful financial ratios, like the current ratio, evolved in the 1890s’ credit analyses since commercial banks had begun requesting financial statements for lending purposes. However, according to [4] it was not until during World War I that Alexander Wall compiled a large sample of financial statements for comparison of different financial ratios across industry and geographical location. Simultaneously, the DuPont Company began a more comprehensive use of financial ratios in the linking of investment ratios, profit margin ratios, and capital turnover ratios that according to [4] was introduced by Donaldson Brown based on ideas originally from Alfred Marshall (Macmillan and Co., Ltd., 1892).

In a revised edition of “How to evaluate Financial Statements”, Wall introduce different financial ratios in [5], and among these the “Net Profits to Net Worth Ratio”, i.e. return on equity (ROE). He sees the ratio as a practical test of the effectiveness of management since it measures the return that the company, i.e. management, has earned for its capital. In this accounting for stewardship [5] uses ending balance sheet numbers in his examples, and apparently, he does not present further reflections on the denominator. [6] found several early studies inspired by the DuPont investment analysis ratios model including “Net Profits to Net Worth”, and he made detailed analyses on the petroleum industry financials from 1948 to 1957; but regrettably, he did not address the denominator issue neither.

In his early textbook on financial statement analysis, primarily for students at Copenhagen Business School, Jensen in [7] presents structured arguments on why average numbers should be used in denominator for the financial ratios ROE and ROA. According to pages 81 and 82 in [7], profitability is measured by comparing (operating) profit with (total) capital, thereby giving an indication of how the capital is earning returns, but these figures cannot be found and compared directly as they appear in the periodic income statement respectively in the balance sheet. He is probably not the first to present the logic, but he states that considering capital as it appears on the liability side of the balance sheet at the end of a given accounting period, the operating surplus for the accounting period will be included. Unfortunately, this has only arisen during the past accounting period, and it is therefore theoretically incorrect to include all of this when determining the capital that is part of profitability calculations. As a practical solution Jensen on page 82 in [7] suggests that one could include half of the operating surplus in the capital, since the operating surplus has arisen gradually; but if turnover does not occur evenly, caused by the company being subject to seasonal fluctuations or similar factors, it must however be regarded as incorrect to consider the operating surplus as having arisen gradually. Consequently, [7] finds that one must therefore go the other way and make average calculations of the invested capital. For example, if one assumes that the periodic profit calculation is prepared quarterly, one must, based on the monthly trial balances, supplement the accounting with monthly calculations of the invested capital, so that on this basis it becomes possible to make average calculations of the real invested capital during the accounting period. If the periodic return calculation is prepared monthly, the capital can be calculated as an average of the invested capital at the beginning and end of the month; and likewise quarterly and yearly. Additionally, the approach eliminates the inaccuracies in calculations that could occur if one bases them on the capital amounts at a single point in time, which can be random.

[8] confirms this point of view on determining the denominator, emphasising on page 95 that the average of beginning and ending numbers is simply the best, and clearly should be the preferred one. [9] presents a similar approach stating on page 64 that for ROA, total assets (in denominator) are calculated as the equally weighted average of the opening and the closing total asset figure for the fiscal period and likewise for ROE. And where seasonal patterns occur, a moving average based on quarterly data, or even monthly data if available, may be preferred.

In real life, discrete return, i.e. that all income is earned at the very ending of a financial year is usually quite improbable, although it to some degree can be seen in some industries—for instance children’s toys, where the majority of sales to consumers (and income) is often recognised just before Christmas and not before ending November (Black Friday). Similar might be seen for companies having activities connected to public services that have strong budgets year by year. However, in most business the income seems to be spread out through the hole financial year although not necessary evenly. [2] clarifies this on page 157 elaborating on the ROE-denominator, by stating that the denominator should be a proxy of the weighted average of book values during the financial year, and he finds that unless there are large share issues or stock repurchases near the beginning or end of a year, the average will most often be a good fit. Further, [10] finds that when comparing income statement numbers to balance sheet numbers, averaging the balance sheet numbers preserves the matching principle, since the balance sheet numbers are measured at a point in time, while the average proxies the average size in the same period as the income is earned. For shorter periods, like a month or a fiscal quarter, this might not matter much, but for longer periods, like a full financial year, it does.

[3] and [11] follow a slightly different approach, since they simply show calculations using both beginning and average numbers in denominator—and without further comments! Thus, they leave it to the reader to decide if beginning or average should be the preferred denominator, since they simply disregard ending numbers as a possibility. Concerning the latter, [12] was refreshingly honest in his textbook when he argued in favour of using ending numbers, since he found that partly it provides 5 observations when analysing 5 years of historical financial statements, and not only 4 observations, and partly, and maybe most important: it is the easiest.

Quite recently, [13] found it opportune (on page 147) to assert that “there is consensus among analysts that the average equity provides the basis for most meaningful analysis, but there are those who believe that beginning equity is the most important measure, since this is the equity base on which the earnings are generated”. As we see it, the last is as such correct in the beginning of a company’s financial year but for the last part of the year the capital basis will most likely have changed since the company has generated income during the whole year, and thus the income during the first months will most certainly have contributed to the income generating process during the last months. Consequently, since income is continuously generated during the financial year, the best and most appropriate capital basis must also reflect the financial year, and thus the most suitable is to use average numbers as proxy for the capital size during the financial year.

How are ratios taught in education?

Our presentation of financial ratios so far contrasts how financial ratio definitions are presented and taught in a great variety of textbooks. In an article on problems in financial ratio education, which among other things covers ratio definitions of ROE (and ROA), [1] presents evidence that using ending numbers in the denominator is most common. They examined a large number of business textbooks covering accounting, finance, management, marketing and financial statement analysis, and they identified a sample of 77 textbooks that included a clearly defined chapter, section or appendix on financial ratios.

For our purpose here we updated and extended the original sample of 77 textbooks with another 35 textbooks from our collection of inspection copies received randomly from different large publishers before they switched to only providing e-books as inspection copies. The criterion for including a textbook was that it should include detailed financial return ratio definitions and the decisive question is subsequently whether the denominator is defined as the average of beginning and ending balance sheet numbers, or not. The complete list of all 112 commonly used textbooks including sections dealing with financial ratios can be found in Table S1.

From these 112 commonly used textbooks we present in Table 1 statistics on the denominator issue in the definitions and associated comments for the two probably most used financial ratios, ROE in Table 1(A) and ROA in Table 1(B). First, we reproduce the highlights from Table 12A in [1] from which can be seen that out of the 77 textbooks distributed into four topic categories in the original sample, the ROE was defined in 60 textbooks, and 40 (or 66.7 percent) used ending numbers in denominator while 20 used average numbers (in some cases supplemented with beginning numbers). Second, we include data from our additional 35 textbooks which leaves us with a total sample of 112 textbooks of which 95 include definition and comments on ROE. And of these 95 textbooks 53 (or 55.8 percent) used ending numbers in denominator. Based on our previous discussion, this is the same as concluding that only 44.2 percent of the books presenting the financial ratio ROE are doing it properly—and even in the topic categories Accounting and Financial Statement Analysis only 40 out of 59 (or 67.8 percent) are doing it properly.

In Table 1(B), the corresponding statistics for ROA are presented, and it seems that the “success-rates” here are only slightly better since only 29 out of 70 (or 41.4 percent) use average numbers in denominator in original study, while 51 out of 105 (or 48.6 percent) use average numbers in denominator in the extended study. Similarly, in the topic categories Accounting and Financial Statement Analysis only 49 out of 66 (or 74.2 percent) are using properly denominators.

Table 1. Textbook statistics for the two probably most used financial ratios, Return On Equity (ROE) and Return On Assets (ROA). (A) Return On Equity (ROE), (B) Return On Assets (ROA).

(A)

Original study content

Accounting

Finance

Management

Financial Statement Analysis

Total

Percent

Net Income/Equity

6

21

11

2

40

66.7%

Net Income/Average Equity

15

2

0

3

20

33.3%

Textbooks with defined ratio in original Mankin & Jewell study

21

23

11

5

60

100.0%

Total textbooks in original Mankin & Jewell study

31

27

13

6

77

-

Extended study (defined ratios)

Accounting

Finance

Management

Financial Statement Analysis

Total

Percent

Net Income/Equity

6

21

11

2

40

42.1%

Net Income/Average Equity

15

2

0

3

20

21.1%

Additional Net Income/Equity

11

1

1

0

13

13.7%

Additional Net Income/Average Equity

14

0

0

8

22

23.2%

Textbooks with defined ratio

46

24

12

13

95

100.0%

Total textbooks using Ending Equity

17

22

12

2

53

55.8%

Total textbooks using Average Equity1

29

2

0

11

42

44.2%

Total number of textbooks extended study

56

28

14

14

112

-

1: Or eventually supplemented with Beginning-but definitely not using Ending.

(B)

Original study content

Accounting

Finance

Management

Financial Statement Analysis

Total

Percent

Net Income/Assets

4

23

12

2

41

58.6%

Net Income/Average Assets

24

2

0

3

29

41.4%

Textbooks with defined ratio in original Mankin & Jewell study

28

25

12

5

70

100.0%

Total textbooks in original Mankin & Jewell study

31

27

13

6

77

-

Extended study (defined ratios)

Accounting

Finance

Management

Financial Statement Analysis

Total

Percent

Net Income/Assets

4

23

12

2

41

39.0%

Net Income/Average Assets

24

2

0

3

29

27.6%

Additional Net Income/Assets

11

1

1

0

13

12.4%

Additional Net Income/Average Assets

14

0

0

8

22

21.0%

Total number of textbooks

53

26

13

13

105

100.0%

Total textbooks using Ending Assets

15

24

13

2

54

51.4%

Total textbooks using Average Assets1

38

2

0

11

51

48.6%

Total number of textbooks extended study

56

28

14

14

112

-

1: Or eventually supplemented with Beginning-but definitely not using Ending.

2.2. Investor’s Perspective

According to IASB’s conceptual accounting framework from 1989 and until 2011 the primary user of annual reports was the investor, and since 2011 the investor is considered one of the most central users out of several users of financial reporting [14]. Consequently, accounting regulation focus on his need for information as it is determined in Section 1.3 in [14] and in paragraph 8 in [15] (referring to Section 1.2 in [14] which it extends).

Following [16] accounting information is expected to uncover two investor needs—informativeness that concerns relevant and reliable information for evaluation of future cash flows, and stewardship that conveys if management has acted in the stockholders’ interests, and thus if the company has generated a return at an acceptable level in past period. Feltham-Ohlson and their residual income model framework in [17] establish a link between accounting and valuation using beginning numbers. Basic equation is RIt = (ROEtre) × Et−1 stating that the residual income in time t is defined by ROE in time t less cost-of-equity capital in time t times equity value beginning time t. Thus, when a company’s ROE is larger than it’s re the RI is positive, and the company adds value. For this to make sense, the two measures compared must be comparable. Since the re most appropriately is calculated over the time span from t0 to t1, we must insist that ROE is also calculated over that time span, thus appropriately using an average denominator value for the calculation of ROE. Alternatively, one could use beginning values for both measures, insisting to follow the discrete valuation in the [17] setting closely.

According to for instance [18], capital market-based definitions on returns, re, centre on two different approaches, reflecting the return generating process, which we thus accordingly could call discrete re = (P1 + D1P0)/P0, respectively continuously re = ln(P1 + D1) − ln(P0), where D1 is received dividend on stock at time 1 while P1 and P0 are the prices on stock at time 1 respectively time 0. The discrete calculation reflects a one-period return, eventually yearly, and the time t = 1 is thus the very last day in the period, while time t = 0 is the beginning of the first day. In contrast, the continuously compounded calculation is a more realistic setting, since it reflects that the price P changes continuously from time 0 until time 1 including an eventual dividend payment, like [18] advocates. As an alternative to using natural logarithm, one could proxy the continuously compounded return by the average return, re = [P1P0 + D1]/[(P0 + P1)/2], which makes the return directly comparable with an accounting-based return on average equity.

Following [19], a market is effective in semi-strong form when all publicly available information is reflected in the stock price, and thus financial and accounting return are compatible. The return on company investment over some period is consequently in effect the same if only accounting information is the only information available to the market, since using accounting information or market information should lead to same return, if the accounting-based ROE is calculated using average numbers in denominator.

3. Practical Evidence—Beer Industry as Illustrative Case

3.1. Short on Beer Industry—Real World Example

For illustrative purposes we look at just one industry, breweries. The advantage of this choice is that beer in essence is a simple product as the result of fermentation using the malt of barley and other grains, flavoured with hops, and has been made in the same way for thousands of years. More recently, brewers differentiate their products through branding, and by adding different substances and ingredients, allowing them to obtain higher prices and thus earn higher profits. The best-known brands provide reassurance to consumers, since the taste and quality will be the same over time and across countries, and thus also follow any brand-associated lifestyle. The brewing industry consists of many small (local) producers, and a few large ones supplying standard beers to an international market. By concentrating production and setting up sophisticated distribution facilities, the big brewer can enjoy significant economies of scale. Inspired by the Top-20 list made by Affan Mir dating March 2023 we have chosen to use 16 of the largest companies measured by volume of output (beer) where we were able to access full public available financial data as an illustrative industry case, see Table 2.

Table 2. 16 largest beer breweries and companies in the world (in Table S2).

Company name

Country

Revenue 2022 in billion USD6)

Volume output in hectoliters (2022)7)

Financial Year

Accounting Regime

Accounting numbers in size and currency

Anheuser-Busch Inbev

Belgium

57.78

518.0

2022

IFRS

Mio USD

Heineken

Netherlands

37.60

256.9

2022

IFRS

Mio EUR

Diageo

UK

20.57

23.9

2021/221)

IFRS

Mio GBP

Asahi Group

Japan

19.22

59.3

2022

IFRS

Mia YEN

Kirin Holdings

Japan

15.20

24.4

2022

IFRS

Mia YEN

Molson Coors

USA

10.70

82.3

2022

US

Mio USD

Carlsberg

Denmark

10.20

102.4

2022

IFRS

Mio DKK

Constellation Brands

USA

9.56

33.2

2022/232)

US

Mio USD

China Resources Beer

China

5.13

122.2

2022

IFRS

Mio RMB

Tsingtao

China

4.86

79.6

2022

CAS3)

Mio RMB

Efes Beverage Group

Türkiye

4.70

34.0

2022

TFRS4)

Mio TRL

Compania Cervecerias Unidas

Chile

3.40

17.6

2022

IFRS

Mia CLP

Boston Beer Company

USA

2.09

9.6*

2022

US

Mio USD

HiteJinro5)

South Korea

1.92

5.5

2022

IFRS

Mia WON

Royal Unibrew

Denmark

1.60

4.8

2022

IFRS

Mio DKK

Olvi plc

Finland

0.63

5.2

2022

IFRS

Mio EUR

1) June 30, 2022, 2) February 28, 2023, 3) China’s Accounting Standards for Business Enterprises, 4) Turkish Accounting/Financial Reporting Standards, 5) HiteJinro: The numbers are provided from the ORBIS-database, since we did not succeed in finding the company’s annual report., 6) Revenue 2022 from the article “Top 20 Beer Companies in the World” by Affan Mir, March 30, 2023, found on Yahoo Finance., 7) Volume 2022 found in the article “The 40 Biggest Beer Companies in the World in 2023” by Vinepair staff (http://www.vinepair.com/). Note*: 8183th Barrels sold-converted to million hectolitres.

In Table S2, all relevant collected accounting information from the 16 companies covering the five years 2020 to 2024 is shown accompanied by relevant market information necessary for calculation of return ratios using different denominator choices as well as market-based return ratios and implied cost-of-equity capital in the beer industry. As can be seen, some of the companies report for a financial year that is different from the calendar year, and not all companies use same accounting practice. However, for our purpose her we suggest that those differences should be of minor concern.

Except for health regulations that apply to all food and drink producers, the production of beer is not regulated. However, the brewing industry does face restrictions on the sale of beer since it is an alcoholic beverage, and in most countries licensing laws limit the outlets that can stock it, while the sale of alcoholic beverages might even be banned in Muslim countries. The production of standard beers is quite capital-intensive, which suggest focus on the economies of scale since key inputs besides huge plant-costs are relatively small and consequently the products have low variable unit costs for raw materials and packaging, which make it difficult (i.e. expensive) to enter the industry.

3.2. Beer Industry Financial Ratios and Market

Risk adjusted Cost-of-Equity capital

Reflecting the globalisation for the industry, we estimate the cost-of-equity capital, re, taking a global perspective. Every company origins in a country in some region, like Anheuscher Busch from Belgium in Europe, and traditionally this is also where the main owners originate for which reason we also take a continental perspective. However, it might be most correct if our analysis is based on an ownership group that reflect a mix of investors from Europe, North America, and Far East Asia since this would suggest the reality for potential alternative portfolio investment decisions. We use CAPM for a simple and realistic estimate of cost-of-equity capital using different regional risk-free interests, rF, and equity risk premia, ERP, as well as Damodaran’s unlevered industry beta list and calculate an intermediate and unlevered cost-of-equity capital.

To arrive at individual company cost-of-equity capital estimates year-by-year, we convert the unlevered beta, βU, to a levered beta, βL, by use of accounting data from Table S2 and the following logic: βL = βU(1 + ((1 − marginal tax rate) × Debt/Equity)). Thus, our use of CAPM can be expressed as follows: re = rF + βL × ERP.

In Table 3(A), we present in (a) the necessary and relevant data (assumptions) for implied CAPM-estimation of cost-of-equity capital for the beer industry companies (year by year and looking forward) on global basis and regionally where each company’s primary relations (markets and investors) are located.

Table 3. (A) Calculation of levered CAPM based Cost-of-Equity-Capital on Global and Continent basis for the largest beer breweries and companies in the Worldi), (a) Relevant assumptions collected for the use of CAPM for the beer industry, (b) Individual Levered company calculations of implied cost-of-equity capital-Global and Continental (regional). (B) Comparison of Accounting Return on Equity using average, beginning and ending numbers in denominator for the largest beer breweries and companies in the World*). (C) Comparison of Market return on stocks based on prices three and four months after financial year end for the largest beer breweries and companies in the World*).

(A)

(a)

Basis forCAPM input

Continent (region)

2020

2021

2022

2023

2024

rF

ERP*)

rF

ERP

rF

ERP

rF

ERP

rF

ERP

20-year treasury bond

US

0.02010

0.04720

0.01544

0.04240

0.03043

0.05940

0.04165

0.04600

0.04535

0.04330

15-year German gov. bond

EU

0.02000

0.05830

0.01875

0.06000

0.02021

0.06000

0.03000

0.06000

0.02625

0.06000

10-year government bond

China

0.03186

0.03980

0.02970

0.05520

0.02800

0.03570

0.02710

0.04800

0.02120

0.04210

10-year government bond

Hong Kong (China)

0.01105

0.04780

0.01235

0.05130

0.01737

0.05820

0.02505

0.05870

0.03382

0.05340

10-year government bond

Japan

−0.00001

0.02790

0.00073

0.05090

0.00312

0.02370

0.00551

0.02130

0.00848

0.01870

Equal mix FarEastAsia gov.bond

FEA

0.01430

0.03850

0.01426

0.05247

0.01616

0.03920

0.01922

0.04267

0.02116

0.03807

Average global gov.bond

Global

0.01813

0.04800

0.01615

0.05162

0.02227

0.05287

0.03029

0.04956

0.03092

0.04712

Global Beta Unlevered

Global

0.610

0.720

0.880

0.910

0.510

*) Found at cnbc.com; Kroll.com’s page on cost of capital inputs (from 3.9.25); and on investing.com. Beta’s were found on Damodaran, stern.nyu.edu from the Alcoholic and Soft drink industries.

(b)

Company name

Country

2020*)

2021

2022

2023

2024

COCGlob.

COC Cont.

COC Glob.

COC Cont.

COC Glob.

COC Cont.

COC Glob.

COC Cont.

COC Glob.

COC Cont.

Anheuser-Busch Inbev

Belgium1)

0.0761

0.0904

0.0830

0.0965

0.1047

0.1138

0.1038

0.1190

0.0684

0.0740

Heineken

Netherlands1)

0.0752

0.0893

0.0789

0.0917

0.0936

0.1011

0.0990

0.1132

0.0675

0.0729

Diageo

UK1)

0.0834

0.0993

0.0936

0.1088

0.1131

0.1233

0.1335

0.1549

0.0871

0.0978

Asahi Group

Japan3)

0.0734

0.0586

0.0793

0.0784

0.0981

0.0724

0.0963

0.0761

0.0650

0.0487

Kirin Holdings

Japan3)

0.0612

0.0489

0.0703

0.0693

0.0887

0.0654

0.0947

0.0747

0.0646

0.0483

Molson Coors

USA2)

0.0628

0.0640

0.0692

0.0590

0.0860

0.1020

0.0913

0.0983

0.0635

0.0753

Carlsberg

Denmark1)

0.0588

0.0694

0.0648

0.0753

0.0891

0.0960

0.1067

0.1225

0.0722

0.0788

Constellation Brands

USA2)

0.0650

0.0678

0.0777

0.0660

0.1192

0.1394

0.1176

0.1227

0.0840

0.0941

China Resources Beer

China3)

0.0476

0.0380

0.0535

0.0522

0.0704

0.0519

0.0805

0.0625

0.0561

0.0415

Tsingtao

China3)

0.0475

0.0379

0.0534

0.0522

0.0689

0.0508

0.0755

0.0581

0.0550

0.0406

Efes Beverage Group

Türkiye1)

0.0569

0.0671

0.0636

0.0739

0.0864

0.0930

0.0946

0.1079

0.0624

0.0663

Compania Cervecerias Unidas

Chile2)

0.0550

0.0576

0.0639

0.0547

0.1076

0.1263

0.1139

0.1193

0.0736

0.0845

Boston Beer Company

USA2)

0.0490

0.0516

0.0549

0.0473

0.0705

0.0846

0.0767

0.0847

0.0556

0.0680

HiteJinro

South Korea3)

0.0581

0.0464

0.0651

0.0640

0.0831

0.0613

0.0865

0.0676

0.0617

0.0461

Royal Unibrew

Denmark1)

0.0633

0.0749

0.0851

0.0988

0.1040

0.1130

0.1150

0.1326

0.0720

0.0786

Olvi plc

Finland1)

0.0477

0.0560

0.0536

0.0623

0.0692

0.0735

0.0762

0.0855

0.0556

0.0576

*) Cost of implied equity capital, COC, is calculated from re = rF + βL × ERP; and βL = βU (1 + ((1 − marg.tax rate) × Debt/Equity)); rF is risk free return; ERP is Equity Risk Premium; β is beta Levered and Unlevered; and marginal tax rate, Debt and Equity are found in annual reports, see Table S2. 1) European Union continent (region), 2) United States continent (region), 3) Far East Asia continent (region), i) Measured by Volume output in liters (2022).

(B)

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue(last year)

2021

Comparison of comparables

2020

ROE(AVG)

ROE(BEG)

ROE(END)

COC Glob.

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0270

0.0260

0.0281

0.0761

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

−0.0056

−0.0051

−0.0061

0.0752

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.1564

0.1432

0.1723

0.0834

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0670

0.0742

0.0610

0.0734

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0890

0.0870

0.0911

0.0612

Molson Coors

USA

US

Mio USD

10,701

10,280

−0.0719

−0.0692

−0.0749

0.0628

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.1523

0.1479

0.1570

0.0588

Constellation Brands

USA

US

Mio USD

9453

8821

0.1539

0.1629

0.1459

0.0650

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

0.1021

0.1061

0.0984

0.0476

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1127

0.1169

0.1089

0.0475

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.0588

0.0596

0.0581

0.0569

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.0759

0.0750

0.0768

0.0550

Boston Beer Company

USA

US

Mio USD

2090

2058

0.2269

0.2610

0.2006

0.0490

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.0823

0.0840

0.0807

0.0581

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.3721

0.3856

0.3595

0.0633

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.1538

0.1550

0.1526

0.0477

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2021

ROE(AVG)

ROE(BEG)

ROE(END)

COC Glob.

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0775

0.0780

0.0771

0.0830

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.2074

0.2456

0.1794

0.0789

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.3269

0.3316

0.3224

0.0936

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0939

0.1013

0.0874

0.0793

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0610

0.0624

0.0596

0.0703

Molson Coors

USA

US

Mio USD

10,701

10,280

0.0767

0.0799

0.0738

0.0692

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.1739

0.1847

0.1643

0.0648

Constellation Brands

USA

US

Mio USD

9453

8821

0.0001

0.0001

0.0001

0.0777

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

0.2006

0.2158

0.1874

0.0535

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1442

0.1524

0.1368

0.0534

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.0736

0.0946

0.0602

0.0636

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.1546

0.1555

0.1537

0.0639

Boston Beer Company

USA

US

Mio USD

2090

2058

0.0150

0.0153

0.0148

0.0549

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.0661

0.0668

0.0654

0.0651

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.3890

0.3896

0.3884

0.0851

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.1711

0.1805

0.1626

0.0536

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2022

ROE(AVG)

ROE(BEG)

ROE(END)

COC Glob.

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0929

0.0958

0.0901

0.1047

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.1460

0.1543

0.1386

0.0936

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.4368

0.5079

0.3831

0.1131

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0825

0.0896

0.0764

0.0981

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.1198

0.1253

0.1147

0.0887

Molson Coors

USA

US

Mio USD

10,701

10,280

−0.0140

−0.0136

−0.0144

0.0860

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.0026

0.0022

0.0031

0.0891

Constellation Brands

USA

US

Mio USD

9453

8821

−0.0037

−0.0032

−0.0044

0.1192

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

0.1687

0.1776

0.1607

0.0704

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1520

0.1599

0.1448

0.0689

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.1260

0.1536

0.1068

0.0864

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.0947

0.0951

0.0944

0.1076

Boston Beer Company

USA

US

Mio USD

2090

2058

0.0656

0.0684

0.0630

0.0705

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.0771

0.0794

0.0750

0.0831

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.3508

0.4461

0.2891

0.1040

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.0259

0.0252

0.0266

0.0692

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2023

ROE(AVG)

ROE(BEG)

ROE(END)

COC Glob.

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0779

0.0818

0.0744

0.1038

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.1074

0.1095

0.1054

0.0990

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.3858

0.3891

0.3825

0.1335

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0733

0.0805

0.0673

0.0963

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.1123

0.1200

0.1055

0.0947

Molson Coors

USA

US

Mio USD

10,701

10,280

0.0727

0.0741

0.0713

0.0913

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

−1.3156

−1.1456

−1.5448

0.1067

Constellation Brands

USA

US

Mio USD

9453

8821

0.1878

0.2021

0.1754

0.1176

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

0.1703

0.1926

0.1526

0.0805

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1595

0.1655

0.1539

0.0755

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.2535

0.2490

0.2583

0.0946

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.0854

0.0825

0.0885

0.1139

Boston Beer Company

USA

US

Mio USD

2090

2058

0.0711

0.0714

0.0708

0.0767

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.0316

0.0307

0.0325

0.0865

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.2008

0.2123

0.1905

0.1150

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.1349

0.1367

0.1331

0.0762

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2024

ROE(AVG)

ROE(BEG)

ROE(END)

COC Glob.

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0818

0.0800

0.0836

0.0684

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.0514

0.0509

0.0518

0.0675

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.3504

0.3558

0.3452

0.0871

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0752

0.0784

0.0722

0.0650

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0580

0.0602

0.0559

0.0646

Molson Coors

USA

US

Mio USD

10,701

10,280

0.0867

0.0863

0.0871

0.0635

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.3642

0.3986

0.3353

0.0722

Constellation Brands

USA

US

Mio USD

9453

8821

−0.0036

−0.0031

−0.0044

0.0840

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

0.1364

0.1393

0.1337

0.0561

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1546

0.1590

0.1504

0.0550

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.1558

0.1797

0.1375

0.0624

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.1176

0.1323

0.1058

0.0736

Boston Beer Company

USA

US

Mio USD

2090

2058

0.0602

0.0557

0.0655

0.0556

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.0863

0.0876

0.0851

0.0617

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.2409

0.2547

0.2285

0.0720

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.2015

0.2143

0.1902

0.0556

1) China’s Accounting Standards for Business Enterprises, 2) Turkish Accounting/Financial Reporting Standards, *) Measured by Volume output in liters (2022).

(C)

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2020

re (3 mths)

re (4 mths)

COC Glob.

ROE(AVG)

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.3028

0.3575

0.0761

0.0270

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.0967

0.1624

0.0752

−0.0056

Diageo

UK

IFRS

Mio GBP

15,452

12,733

−0.2036

−0.2090

0.0834

0.1564

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.3034

0.2187

0.0734

0.0670

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0204

0.0158

0.0612

0.0890

Molson Coors

USA

US

Mio USD

10,701

10,280

0.3123

0.3312

0.0628

−0.0719

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.2632

0.2590

0.0588

0.1523

Constellation Brands

USA

US

Mio USD

9453

8821

0.3420

0.3048

0.0650

0.1539

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

n.a.

n.a.

0.0476

0.1021

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.5732

0.4200

0.0475

0.1127

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.2044

0.2361

0.0569

0.0588

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.0767

0.0892

0.0550

0.0759

Boston Beer Company

USA

US

Mio USD

2090

2058

1.1884

0.9584

0.0490

0.2269

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

0.5227

0.1631

0.0581

0.0823

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.3206

0.3755

0.0633

0.3721

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.3104

0.3368

0.0477

0.1538

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2021

re (3 mths)

re (4 mths)

COC Glob.

ROE(AVG)

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0186

−0.0514

0.0830

0.0775

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

−0.0555

−0.0912

0.0789

0.2074

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.3273

0.3930

0.0936

0.3269

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

−0.0224

0.0838

0.0793

0.0939

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

−0.1160

−0.0452

0.0703

0.0610

Molson Coors

USA

US

Mio USD

10,701

10,280

0.0542

−0.0035

0.0692

0.0767

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

−0.1269

−0.1473

0.0648

0.1739

Constellation Brands

USA

US

Mio USD

9453

8821

0.0374

0.0109

0.0777

0.0001

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

n.a.

n.a.

0.0535

0.2006

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

−0.0714

−0.0614

0.0534

0.1442

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.2391

0.2393

0.0636

0.0736

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

−0.0703

−0.1375

0.0639

0.1546

Boston Beer Company

USA

US

Mio USD

2090

2058

−1.1331

−1.1768

0.0549

0.0150

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

−0.2165

−0.1233

0.0651

0.0661

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

−0.0267

−0.1847

0.0851

0.3890

Olvi plc

Finland

IFRS

Mio EUR

584

462

−0.2750

−0.4714

0.0536

0.1711

Company name

Country

Accounting

Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2022

re (3 mths)

re (4 mths)

COC Glob.

ROE(AVG)

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.1308

0.0732

0.1047

0.0929

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

0.1845

0.1628

0.0936

0.1460

Diageo

UK

IFRS

Mio GBP

15,452

12,733

0.0707

0.0107

0.1131

0.4368

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.1206

0.0958

0.0981

0.0825

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.1642

0.1769

0.0887

0.1198

Molson Coors

USA

US

Mio USD

10,701

10,280

−0.0181

0.1064

0.0860

−0.0140

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

0.2764

0.2347

0.0891

0.0026

Constellation Brands

USA

US

Mio USD

9453

8821

0.0040

0.0686

0.1192

−0.0037

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

n.a.

n.a.

0.0704

0.1687

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.3222

0.2647

0.0689

0.1520

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.8736

0.7538

0.0864

0.1260

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.0512

0.1569

0.1076

0.0947

Boston Beer Company

USA

US

Mio USD

2090

2058

−0.1671

−0.1664

0.0705

0.0656

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

−0.3859

−0.4302

0.0831

0.0771

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

−0.0322

0.0064

0.1040

0.3508

Olvi plc

Finland

IFRS

Mio EUR

584

462

−0.1279

−0.0153

0.0692

0.0259

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2023

re (3 mths)

re (4 mths)

COC Glob.

ROE(AVG)

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

−0.0685

−0.0367

0.1038

0.0779

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

−0.1062

−0.1244

0.0990

0.1074

Diageo

UK

IFRS

Mio GBP

15,452

12,733

−0.1993

−0.1222

0.1335

0.3858

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.1455

0.0511

0.0963

0.0733

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0299

0.0670

0.0947

0.1123

Molson Coors

USA

US

Mio USD

10,701

10,280

0.6318

0.3828

0.0913

0.0727

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

−0.0828

−0.1327

0.1067

−1.3156

Constellation Brands

USA

US

Mio USD

9453

8821

0.0421

0.0566

0.1176

0.1878

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

−0.4468

−0.5573

0.0805

0.1703

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

−0.3906

−0.3173

0.0755

0.1595

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.8678

1.0652

0.0946

0.2535

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

−0.0508

−0.1123

0.1139

0.0854

Boston Beer Company

USA

US

Mio USD

2090

2058

−0.0767

−0.1314

0.0767

0.0711

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

−0.0317

−0.0077

0.0865

0.0316

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

−0.2383

−0.1071

0.1150

0.2008

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.0760

0.0594

0.0762

0.1349

Company name

Country

Accounting Regime

Accounting numbers in size and currency

Revenue (this year)

2022

Revenue (last year)

2021

Comparison of comparables

2024

re (3 mths)

re (4 mths)

COCGlob.

ROE(AVG)

Anheuser-Busch Inbev

Belgium

IFRS

Mio USD

57,786

54,304

0.0231

0.0401

0.0684

0.0818

Heineken

Netherlands

IFRS

Mio EUR

28,719

21,941

−0.0962

−0.0786

0.0675

0.0514

Diageo

UK

IFRS

Mio GBP

15,452

12,733

−0.1237

−0.2266

0.0871

0.3504

Asahi Group

Japan

IFRS

Mia YEN

2511

2237

0.0481

0.1108

0.0650

0.0752

Kirin Holdings

Japan

IFRS

Mia YEN

1989

1822

0.0201

−0.0347

0.0646

0.0580

Molson Coors

USA

US

Mio USD

10,701

10,280

−0.0710

0.0350

0.0635

0.0867

Carlsberg

Denmark

IFRS

Mio DKK

70,265

60,097

−0.0329

−0.0124

0.0722

0.3642

Constellation Brands

USA

US

Mio USD

9453

8821

−0.3191

−0.4012

0.0840

−0.0036

China Resources Beer

China

IFRS

Mio RMB

35,263

33,387

−0.0750

0.0740

0.0561

0.1364

Tsingtao

China

CAS1)

Mio RMB

32,172

30,167

0.1182

0.0465

0.0550

0.1546

Efes Beverage Group

Türkiye

TFRS2)

Mio TRL

90,504

39,284

0.0888

−0.1341

0.0624

0.1558

Compania Cervecerias Unidas

Chile

IFRS

Mia CLP

2711

1515

0.2133

0.2105

0.0736

0.1176

Boston Beer Company

USA

US

Mio USD

2090

2058

−0.2426

−0.1246

0.0556

0.0602

HiteJinro

South Korea

IFRS

Mia WON

2484

2192

−0.0655

−0.0647

0.0617

0.0863

Royal Unibrew

Denmark

IFRS

Mio DKK

11,487

8746

0.1868

−0.0086

0.0720

0.2409

Olvi plc

Finland

IFRS

Mio EUR

584

462

0.1324

0.1417

0.0556

0.2015

1) China’s Accounting Standards for Business Enterprises, 2) Turkish Accounting/Financial Reporting Standards, *) Measured by Volume output in liters (2022).

In (b) the individual levered company calculations of simple and yet realistic implied risk adjusted cost-of-equity capital are presented following the necessary CAPM assumptions. The table convey quite different results ranging from 0.0379 (for Tsingtao, Regional) in 2020 to 0.1549 (for Diageo, Regional) in 2023. This large difference is partly due to changes in year-by-year levels since average regional re in 2020 was 0.0636 while it was 0.1000 in 2023. But Tsingtao remains the company with smallest cost-of-equity capital through all years, while Diageo has the largest cost-of-equity capital all years.

Accounting

Table 3(B) shows ROE numbers of financial ratios calculated using beginning (ROEBEG), average (ROEAVG), and ending (ROEEND) balance sheet numbers in denominator and illustrates the differences due to different denominators in the beer industry and cost-of-equity capital for comparison taking a stewardship approach.

The most common definition of ROE use net profit as nominator in the income statement, which is what we present in Table 3(B), but an eventual use of the Feltham-Ohlson valuation framework calls for using comprehensive income as nominator due to their clean surplus requirements1. For companies experiencing steady growth in equity from beginning to ending by roughly the size of the net profit, ROE based on beginning numbers denominator should be larger than ROE based on average numbers, which again should be larger than ROE based on ending numbers. For comparison, Table 3(B) includes cost-of-equity cost global, and in total over the five years’ data sets i.e. 16 × 5 = 80 sets of data, the companies’ return ratios are smaller than the cost of capital, reflecting that the companies destroy value in 27 (or 34 percent) of the cases. The observable difference between beginning and average, respective between average and ending is typically up to 3.5 percent points for the largest differences, and thus as such in general not irrelevant. And in some cases where accounting ROE is close to the implied cost-of-equity capital, re, the choice of denominator will be decisive for management.

Finance

Since the annual reports are not published until some time after the end of the accounting financial year, the corresponding finance year is shifted some weeks. In some research focusing on comparing accounting and financing year return, a delay of three or four months has been practiced as proxies for the financial year in the market, see for instance [20] and [21].

Table 3(C) shows comparable stock-market based financial return ratios from largest companies in the beer industry using methodology from Xie (measuring financial return between two financial year end dates plus three months as in [21]) and Sloan (measuring financial return between two financial year end dates plus four months as in [20]), which ensures time for the companies to finish the annual reports. For comparison, cost-of-equity capital in beer industry and accounting ROEAVG are repeated from Table 3(A) and Table 3(B). As can be seen, some years have been difficult generally in the stock market, where many companies show returns below implied cost-of-equity capital and maybe even negative returns.

In total, the stock returns are lower than implied cost-of-equity capital in 47 (or 61 percent) cases of the 77 in total, reflecting an industry struggling especially the last few years. Especially the COVID19 pandemic period seems to entail quite pessimistic market perspectives in 2021. Further, in most years the return after four months is on average and individually slightly smaller than the return after three months since we only saw increase in 29 (or 37.7 percent) out of 77 cases. The difference between shifting three and four months reflect differences in observed financial yearly performance, but since there during later years has been a tendency towards finalising the annual reports increasingly earlier, the three-months shifting is probably the most correct proxy for comparisons now. We might also have used the return-year between consecutive two annual report announcement dates and a few days after and thus using first date when the accounting information seems to be absorbed in the stock price, i.e. when price-volatility and volume traded is back on pre-announcement date level, which may have shown a slightly more precise reflexion of the stock-market financial year.

However, the exact results are not the main point here, but rather that we compare what is comparable and as we suggested earlier, consensus is that average denominator best reflect return for a period, ROEAVG, which we compare year-by-year with three months delayed realised financial return in market, re (Xie), and a global CAPM-based implied cost-of-equity capital (Global). Following our earlier findings, we see implied cost-of-equity capital larger than both ROE and re in 18 (or 23.4 percent) cases of the 77 cases in total, which reflect that many companies destroy value. In contrast to this, we find 21 (or 27.5 percent) out of the 77 cases that show both accounting-return and market-return larger than implied cost-of-equity capital.

Generally, we observe quite large dispersion in the beer industry which may not be the case in other industries, but for illustrative purposes we see no reason to question that the pattern could be similar in other industries.

4. Perspectives for Accounting Regulation

4.1. Practical Support

Financial (statement) analyses are often circumstantial, and thus the denominator issue might not be felt so important. But for a proper comparison with a relevant benchmark, it is important, and it should be handled correctly to avoid misunderstandings and incorrect results in the financial analyses.

We saw in Table 1 that only a minority (44.2 percent) of textbooks use average numbers in denominator when calculating ROE. However, for non-accounting textbooks, the proportion is much smaller (2 out of 36 cases, or 5.6 percent). Since it is unrealistic that everybody takes a Master in Accounting or Financial Statement Analysis, where the probability of getting it right is higher (67.8 percent from Table 1), it should be considered to address the main accounting users more directly by implementing mandatory correct guidance in accounting regulation, and thus force the correct setting and provide everybody to prepare and use it correct and thus prevent misuse and misunderstandings.

For our beer industry the data in Table 3(B) shows that in 63 out of 77 cases (which corresponds to 78.8 percent) ROEAVG is larger than ROEEND. Thus, a false use of ROEEND would provide a too small ROE for a comparison to for instance cost-of-equity capital, which is not appropriate. Likewise, falsely using results when ROEEND ratios are larger than ROEAVG is exactly as inappropriate.

Further, in 2021 where cost-of-equity capital is estimated at 6.36 percent, for Efes Beverage Group, Türkiye, we have ROEAVG 7.36 percent (and ROEBEG at 9.46 percent), and ROEEND at 6.02 percent, and thus the correct calculated ROE would show positive residual income. Decisions should not be made by chance, but rather on thorough analyses where only comparable results are compared, and not for instance using ending number that would lead to a negative residual income. To ensure largest possible probability that exactly this will happen, prescribing investor a user-friendly exact practical definition of ROE would be a good solution. For our beer industry numbers, we see differences between ROEBEG and ROEAVG, respectively ROEEND and ROEAVG up to 3.8 percent points, and although it is only for Efes Beverage Group in 2021 a decision based on the size of residual income would be directly affected by denominator choice, we only know that because we made all the calculations.

In accordance with [10], the accounting support for using average numbers can be established through adapting the well-known matching principle. But the matching principle is currently being out-phased from accounting regulation because it reflects an income statement focused view (revenue-expense orientated) on accounting which contrasts with the present mainstream balance sheet focused accounting view (asset-liability orientated) practiced by IASB (and FASB) during the last few decades, see also for instance [22]. A stringent use of the asset-liability orientated view on accounting reporting give rise to severe challenges in relation to accounting information’s informativeness roll for the accounting user. [23] argued that operating income should be calculated on the basis of matching of expenses in the period incurred or with the products and services for which revenues have been recognised. The central argument for preserving this matching of operating expenses is that current operating net earnings provides the natural starting point for forecasting future operating net operating net earnings and future cash flows. However, although the latest revision of IAS 1 (i.e. introduction of IFRS 18 in [24] vs. former [15]) takes this aspect into some consideration, the denominator issue remains untouched.

Since accounting is complex and for many quite complicated, and when many non-accountants “only” take a relatively short introductory course on financial analysis, the overall aim for accounting regulators, like IASB and EU, should be to ensure that the content becomes as usable as possible (and in every respect as accurate as possible)—accounting numbers presented in annual reports including key figures should reflect the economic realities as best as possible, i.e. showing a fair, true, and faithful presentation, so that the accounting user gets the best possible information for his own use. This calls for the use of averages in denominator, ideally in all textbooks including introduction to financial ratios, since such ratios can then unproblematically be compared with financial figures, for example investors’ return on investment for company stocks.

Consequently, one way of preventing wrong-use and at same time encourage right use could be if IASB’s accounting regulation prescriptions were more supportive for financial ratios rather than leaving it completely to company management to decide which information to present and how (in accordance with the section Notes in [24]). This is a remarkably contrast to many other parts of the accounting disclosure prescribed in the IFRSs, and it could be considered a flaw that [24] does not prescribe at least some financial ratios (including precise definitions) that would be considered relevant for most accounting users’ performance evaluation.

4.2. Accounting Prescriptions for Financial Ratios in Annual Reports

Accounting prescriptions for financial ratios in annual reports for companies in EU-countries follow EU directives and EU regulations. The description of regulations can be found in Article 288 of the Treaty on the Functioning of the European Union, TFEU (former Art. 249 in TEC). According to this, the EU institutions adopt regulations, directives, decisions, recommendations and opinions that have legal validity in the listed order: A regulation is binding in its entity and directly applicable in all EU member states. Unlike this a directive needs to be transposed into national law in each member state, leaving choice of form and methods to the national authorities.

The scope of Article 5 in the EU Accounting Directive, [25], includes public and private limited liability companies as well as partnerships and limited partnerships where the fully liable members are constituted either as public or as private limited liability companies, and where members of partnerships in fact have limited liability for the partnership’s obligations because that liability is limited by other companies. Although the Directive excludes not-for-profit companies, it includes almost all companies. However, the Directive includes no prescriptions on financial ratios, and thus also no guidance. The Directive contains requirements on financial statements’ content and definitions, on accounting items’ recognition, measurement and presentation, and it is implemented in national accounting law and regulation in all EU member countries [25]. Further, and parallel, all listed companies in the EU are required to follow the prescriptions in the international financial reporting standards (as approved by the EU) due to EU Regulation No 1606/2002 on the application of international accounting standards [26].

Denmark as an EU member state has legislated in accordance with the EU directive and supplemented with special Danish regulation that government and parliament think should be part of the Danish Financial Act [27], which governs the preparation and presentation of financial statements for companies in Denmark.

The Danish Financial Act divides companies into 4 categories, A, B, C and D, by size of turnover, total assets, and number of employees [27]. Very small businesses (sole proprietors) would normally be in category A, and the largest businesses in category C while listed companies are in category D, and the logic is that the higher the category, the higher are the reporting requirements. Among the different requirements that medium sized and larger companies face, i.e. companies in category C and D, are prescriptions in accordance with Danish Financial Act paragraph 101 to present a five-year overview containing central accounting items, and some financial ratios that the company finds relevant for the company [27] that are defined and calculated in accordance with current Chartered Financial Analyst-guidance in [28]. Unfortunately, CFA present so many different financial ratios to choose among that it is almost too much, but they are persistent in using average denominator numbers from balance sheets where relevant, for instance ROE. Because of EU-regulation in [26] Danish listed companies apply IFRS (as approved by EU), and thus many paragraphs in Danish Financial Act [27] are superseded by prescriptions in the standards; but not paragraph 101.

Lately we see introduction of standard IFRS 18 prescribing presentation and disclosure in financial statements and effective from 1 January 2027 in [24], which presents a clearly defined operating profit and clear prescriptions of how different parts of net accounting profit items must be presented in the income statement. In the section “Notes”, IFRS 18 prescribes identification (paragraphs 117 - 120) and disclosure (paragraphs 121 - 125) of subtotals as management defined performance measures. A such is defined in paragraph 117 as “a subtotal of income and expenses” and it is further elaborated on in IFRS 18 Appendix B, paragraphs B113-B142, where especially paragraphs B116 and B117 are of interest. In paragraph B116.c IFRS 18 states that “financial ratios (for example ROA) are not management defined performance measures” because they are not subtotals of income and expenses. In contrast, it is in paragraph B117 established that a management defined performance measure could be part, i.e. nominator or denominator, of a financial ratio. See eventually [24] for further details.

The standard focus on the more specific demands related to details on management and their responsibilities in providing information to stakeholders and thus the disclosure on identification, definition and choice of adequate performance measures, but although the standard does not address the definition of financial ratios, like ROE, the standard can be expected to provide more transparency and comparability in nominator and can be seen as a kind of revival for the matching principle.

Unfortunately, the standard does not address the denominator issue which is neither mentioned in accounting framework nor in current accounting standards, and thus no prescriptions. And thus, little guidance–and no guidance on denominator either.

However, following the Danish prescriptions in [27], it would be easy to add requirements on financial ratios to the existing EU regulation for a listed company (IFRS approved by EU), stating that companies must present central financial ratios in accordance with [28] (eventually approved by EU), like ROE and ROA or ROIC together with other relevant common financial ratios presented in [28]. This could be done either by urging IASB to add appropriate prescriptions in IFRS 18 ([24]) or by adding this prescription to EU’s regulation 1606/2002 as an amendment to Article 3 ([26]).

Another possibility could be to add the requirements or some of them to the Accounting Directive [25] to ensure that mandatory prescription of certain financial ratios would be included in all EU member states’ accounting prescriptions, eventually formulated so that companies that the directive define as small (in Article 3, and like Danish categories A and B in [27]) could be exempted.

5. Concluding Remarks

In general, we see strong and convincing arguments and support for preferring use of average balance sheet numbers in denominator, although we also see arguments in favour of different positions. Consequently, looking forward this must lead to seeing that it is better from the beginning to learn a useful definition that holds in all sorts of use in financial analysis, rather than just a quick and dirty one, that can mislead one later, like using ending balance sheet values in denominator for instance when calculating ROE for comparison with re. If one only attends a smaller financial analysis course once, one will probably be best off learning and mastering financial ratios for broader and more practical use and thus learn to use averages from the start. In other words, we should help the accounting user without an MBA in accounting; and at least try to ensure the same starting point for a discussion on a company’s performance.

Since definition and calculation of financial ratios is not an exact science, it is so much more important that key players, like IASB and EU, support “common-knowledge” based guidelines for concrete use and definitions of ratios as presented by for instance CFA. Precise return definitions and detailed calculation guidance in financial accounting regulation prescriptions, for instance in management commentary, could ensure that calculated returns are always meaningful expressions ready and useful for all sorts of use in financial analysis.

Ultimately, the choice of denominator depends on both the specific analysis goals, the availability of data, and the context in which the financial ratio, for instance the ROE, is being used. Analysts may choose the method that best aligns with their objectives and the information they want to convey. However, keep in mind that different approaches may yield different ROE values, but the overall interpretation remains consistent: a higher ROE indicates better profitability relative to shareholders’ equity.

Appendix

Table S1: Extended 2014—article list of contributing textbooks (totalling 112).

Table S2: Beer Industry—relevant numbers for the 16 largest companies in the industry.

Table S1. List of all contributing textbooks in extended Mankin & Jewell study (total of 112)1).

Part of Mankin & Jewell’s original study

AUTHORS

A/F/M/FSA2)

TEXT BOOK TITLE

DATE

PUBLISHER

Yes

Ainsworth

A

Introduction to Accounting: An Integrated Approach, 6th ed.

2011

McGraw-Hill

No

Alexander, Britton, Jorissen, Hoogendoorn, VanMaerik

A

International Financial Reporting and Analysis, 7th ed.

2017

Cengage

No

Alexander, Nobes

A

Financial Accounting. An International Introduction, 6th ed.

2016

Pearson

Yes

Alrecht, Stice, Stice

A

Financial Accounting, 10th ed.

2008

Cengage

Yes

Anthony, Hawkins, Merchant

A

Accounting: Text and Cases, 12th ed.

2007

McGraw-Hill

No

Atrill, McLaney

A

Accounting and Finance for non-Specialists, 11th ed.

2019

Pearson

No

Beaver

A

Financial Reporting, 3rd ed.

1998

Prentice-Hall

No

Birt, Chalmers, Maloney, Brooks, Oliver

A

Accounting. Business Reporting for Decision Making, 5th ed.

2014

Wiley

Yes

Breitner, Anthony

A

Core Concepts of Accounting, 10th ed.

2006

Prentice-Hall

Yes

Brewer, Garrison, Noreen

A

Introduction to Managerial Accounting, 4th ed.

2008

McGraw-Hill

No

Carey, Knowles, Towers-Clark

A

Accounting a Smart Approach, 1st ed.

2011

Oxford

No

Collins, McKeith

A

Financial Accounting and Reporting, 1st ed.

2010

McGraw-Hill

No

Cotter

A

Advanced Financial Reporting: A complete Guide to IFRS, 1st ed.

2012

Prentice-Hall

Yes

Edmonds, Edmonds, Olds, McNair, Ysay, Schneider, Milam

A

Fundamental Financial and Managerial Accounting, 1st ed.

2007

McGraw-Hill

No

Elliott, Elliott

A

Financial Accounting and Reporting, 9th ed.

2019

Pearson

Yes

Harrison, Horngren, Thomas

A

Financial Accounting, 8th ed.

2010

Prentice-Hall

Yes

Hartgraves, Morse, Davis

A

Managerial Accounting, 5th ed.

2009

Cambridge Business

Yes

Horngren, Harrison, Oliver

A

Accounting, 8th ed.

2009

Prentice-Hall

Yes

Horngren, Harrison, Oliver

A

Financial and Managerial Accounting, 2nd ed.

2009

Prentice-Hall

Yes

Ingran, Albright

A

Financial Accounting, 6th ed.

2007

Cengage

Yes

Kieso, Weygandt, Warfield

A

Intermediate Accounting, 12th ed.

2008

Wiley

Yes

Kimmel

A

Financial Accounting: Tools for Business Decision Making, 5th ed.

2009

Wiley

Yes

King, Lembke, Smith

A

Financial Accounting: A Decision-Making Approach

2001

Wiley

No

Kothari, Barone

A

Advanced Financial Accounting: An International Approach, 1st ed.

2011

Pearson

Yes

Libby, Libby, Short

A

Financial Accounting, 5th ed.

2007

McGraw-Hill

Yes

Marshall, McManus, Viele

A

Accounting: What the Numbers Mean, 7th ed.

2007

McGraw-Hill

No

Miller-Nobles, Mattison, Matsumura

A

Horngren’s Financial & Managerial Accounting. The Financial Chapters, 6th ed.

2018

Pearson

Yes

Needles, Powers

A

Financial Accounting, 10th ed.

2009

Cengage

Yes

Needles, Powers, Crosson

A

Principles of Accounting, 11th ed.

2011

Cengage

Yes

Nikolai, Bazlay, Jones

A

Intermediate Accounting, 11th ed.

2010

Cengage

No

O’Regan

A

Financial Information Analysis, 2nd ed.

2006

Wiley

Yes

Porter, Norton

A

Financial Accounting: Impact on decision Makers, 6th ed.

2010

Cengage

Yes

Porter, Norton

A

Using Financial Accounting Information: The Alternatives to Debits & Credits, 6th ed.

2010

Cengage

No

Pratt

A

Financial Accounting in Economic context, 8th ed.

2011

Wiley

No

Radebaugh, Gray, Black

A

International Accounting and Multinational Enterprises

2006

Wiley

Yes

Reeve, Warren, Duchac

A

Accounting: Using Excel for Success

2011

Cengage

Yes

Rich, Jones, Hietger, Mowen, Hansen

A

Cornerstones of Financial & Managerial Accounting, 1st ed.

2009

Cengage

No

Schroeder, Clas, Cathey

A

Financial Accounting, Theory and Analysis, 10th ed.

2011

Wiley

No

Scott

A

Accounting for Business, 2nd ed.

2016

Oxford

No

Smith

A

Introductory Financial Accounting and Reporting

2010

McGraw-Hill

No

Spiceland, Thomas, Herrmann

A

Financial Accounting, 5th ed.

2019

McGraw-Hill

Yes

Stice, Stice, Skousen

A

Intermediate Accounting, 17th ed.

2010

Cengage

Yes

Stickney, Weil, Schipper, Francis

A

Financial Accounting, An Introduction to Concepts, Methods, and Uses, 13th ed.

2010

Cengage

No

Stolowy, Ding, Paugam

A

Financial Accounting and Reporting, 6th ed.

2020

Cengage

No

Sutton

A

Corporate Financial Accounting and Reporting, 2nd ed.

2004

Pearson

No

Tapira

A

Understanding Financial Statements. A Journalist’s Guide, 1st ed.

2004

Marion Street Press

No

Thomas, Tietz, Suwardy, Koh, Harrison, Horngren

A

Financial Accounting. International Financial Reporting Standards, 12th ed.

2023

Pearson

No

Thomas, Ward

A

Introduction to Financial Accounting, 9th ed.

2019

McGraw-Hill

Yes

Warren

A

Survey of Accounting

2011

Cengage

Yes

Warren, Reeve, Duchac

A

Financial and Managerial Accounting, 10th ed.

2009

Cengage

Yes

Weygandt, Kiese, Kimmel

A

Accounting Principles, 8th ed.

2008

Wiley

Yes

Weygandt, Kiese, Kimmel

A

Financial Accounting, 7th ed.

2010

Wiley

No

Weygandt, Kimmel, Kiese

A

Accounting Principles. IFRS version, 1st ed.

2019

Wiley

Yes

Wild, Larson, Chiapetta

A

Fundamental Accounting Principles, 18th ed.

2007

McGraw-Hill

Yes

Williams, Haka, Bettner, Carcello

A

Financial and Managerial Accounting, 15th ed.

2010

McGraw-Hill

No

Young, Cohen

A

Corporate Financial Reporting and Analysis, 3rd ed.

2013

Wiley

Yes

Berk, DeMarzo

F

Corporate Finance: The Core

2009

Prentice-Hall

Yes

Berk, DeMarzo, Harford

F

Fundamentals of Corporate Finance

2009

Prentice-Hall

Yes

Besley, Brigham

F

Essentials of Managerial Finance, 14th ed.

2008

Cengage

Yes

Block, Hirt

F

Fundamentals of Investment Management, 9th ed.

2008

McGraw-Hill

Yes

Block, Hirt, Danielson

F

Foundations of Financial Management, 13th ed.

2009

McGraw-Hill

Yes

Bodie

F

Essentials of Investments, 8th ed.

2010

McGraw-Hill

Yes

Booth, Cleary

F

Introduction to Corporate Finance, Canadian ed.

2008

Wiley

Yes

Brealey, Meyers, Allen

F

Principles of Corporate Finance, 10th ed.

2011

McGraw-Hill

Yes

Brigham, Daves

F

Intermediate Financial Management, 10th ed.

2010

Cengage

Yes

Brigham, Erhardt

F

Financial Management: Theory and Practice, 12th ed.

2008

Cengage

Yes

Brigham, Houston

F

Fundamentals of Financial Management, 12th ed.

2009

Cengage

Yes

Brooks

F

Financial Management: Core Concepts

2010

Prentice-Hall

Yes

Cornett, Adair, Nofsinger

F

Finance: Application and Theory, 1st ed.

2009

McGraw-Hill

Yes

Gallagher

F

Financial Management, 5th ed.

2009

Textbook Media

Yes

Gitman, Joehnk

F

Fundamentals of Investing, 10th ed.

2008

Prentice-Hall

Yes

Graham, Smart, Megginson

F

Corporate Finance, 3rd ed.

2010

Cengage

Yes

Hawawini, Viallet

F

Finance for Executives: Managing for Value Creation, 3rd ed.

2007

Cengage

Yes

Hirschey, Nofsinger

F

Investments, 2nd ed.

2010

McGraw-Hill

Yes

Jordan, Miller

F

Fundamentals of Investments, 5th ed.

2009

McGraw-Hill

Yes

Keown, Martin, Petty

F

Foundations of Finance, 7th ed.

2011

Prentice-Hall

Yes

Lasher

F

Practical Financial Management, 6th ed.

2011

Cengage

Yes

Mayo

F

Investments: An Introduction, 10th ed.

2008

Cengage

Yes

Megginson, Smart

F

Introduction to Corporate Finance, 2nd ed.

2009

Cengage

Yes

Melischer, Norton

F

Introduction to Finance: Markets, Investments, and Financial Management, 13th ed.

2008

Wiley

Yes

Ross, Westerfield, Jaffe

F

Corporate Finance, 9th ed.

2010

McGraw-Hill

Yes

Ross, Westerfield, Jordan

F

Essentials of Corporate Finance, 7th ed.

2011

McGraw-Hill

No

Van Horne

F

Financial Management and Policy, 10th ed.

1995

Prentice-Hall

Yes

Werner, Stoner

F

Modern Financial Managing: Continuity and Change, 3rd ed.

2010

Textbook Media

No

Damodaran

FSA

Investment Valuation, 3rd ed.

2012

Wiley

Yes

Easton, McAnally, Fairfield, Zhang, Halsey

FSA

Financial Statement Analysis & Valuation, 2nd ed.

2010

Cambridge Business

No

Foster

FSA

Financial Statement Analysis, 2nd ed.

1986

Prentice-Hall

Yes

Fraser, Ormisston

FSA

Understanding Financial Statements, 9th ed.

2007

Prentice-Hall

Yes

Gibson

FSA

Financial Reporting & Analysis, 12th ed.

2011

Cengage

No

Koller, Goedhart, Wessels

FSA

Corporate Valuation, 5th ed.

2010

McKinsey

No

Lundholm, Sloan

FSA

Equity valuation and analysis, 2nd ed.

2007

McGraw-Hill

Yes

Palepu, Healy

FSA

Business Analysis & Valuation, 4th ed.

2008

Cengage

No

Penman

FSA

Financial Statement Analysis and Security Valuation, 5th ed.

2013

McGraw-Hill

No

Plenborg, Petersen, Kinserdal

FSA

Financial Statement Analysis, 1st ed.

2017

Fagbokforlaget

No

Pratt

FSA

Valuing a Business, 6th ed.

2022

McGraw-Hill

No

Wahlen, Baginski, Bradshaw

FSA

Financial Reporting, Financial Statement Analysis, and Valuation, 7th ed.

2008

Cengage

Yes

White, Sondhi, Fried

FSA

The Analysis and Use of Financial Statements

2003

Wiley

Yes

Wild, Subramanyam, Halsey

FSA

Financial Statement Analysis, 9th ed.

2007

McGraw-Hill

Yes

Bamford, West

M

Strategic Management: Value Creation, Sustainability, and Performance, 1st ed.

2010

Cengage

Yes

Barney, Hesterly

M

Strategic Management and Competitive Advantage,3rd ed.

2010

Prentice-Hall

Yes

Coulter

M

Strategic Management in Action, 5th ed.

2010

Prentice-Hall

Yes

David

M

Strategic Management: Concepts and Cases, 13th ed.

2011

Prentice-Hall

Yes

de Kluyver

M

Strategy: A View from the Top

2009

Prentice-Hall

Yes

Dess, Lumpkin, Eisner

M

Strategic Management: Creating Competitive Advantages, 5th ed.

2010

McGraw-Hill

Yes

Gamble, Thompson

M

Essentials of Strategic Management, 2nd ed.

2011

McGraw-Hill

Yes

Grant

M

Contemporary Strategy Analysis, 7th ed.

2010

Wiley

Yes

Harrison, St. John

M

Foundations in Strategic Management

2010

Cengage

Yes

Kerin, Peterson

M

Strategic Management Problems: Cases and Comments, 11th ed.

2007

Pearson

No

Kotler

M

Marketing Management, 11th ed.

2003

Prentice-Hall

Yes

Peter, Donnelly

M

Marketing Management: Knowledge and Skills, 8th ed.

2007

McGraw-Hill

Yes

Thompson, Strickland, Gamble

M

Crafting and Executing Strategy: The Quest for Competitive Advantage, 16th ed.

2008

McGraw-Hill

Yes

Wheelen, Hunger

M

Strategic Management and Business Policy: Achieving Sustainability, 12th ed.

2010

Prentice-Hall

1) All extra textbooks were found in my office. I have always been open for receiving free inspection copies, and occasionally at a cost if needed. 2) Accounting/Finance/Management or Marketing/Financial Statement Analyses.

Table S2. 16 largest beer breweries and companies in the World basic accounting and market information.

NOTES

1Eventual use of comprehensive income instead of net profit would lead to 24 cases of ROEAVG smaller than cost-of-equity capital instead of 27 cases.

Conflicts of Interest

The author declares no conflicts of interest regarding the publication of this paper.

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