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International Evidence on the Matching between Revenues and Expenses * Wen He School of Accounting University of New South Wales Kensington, Sydney, NSW 2052, Australia [email protected] Yaowen Shan School of Accounting University of Technology, Sydney Broadway, Sydney, NSW 2007, Australia [email protected] Abstract This study investigates the time-series trend and determinants of matching between revenues and expenses in a sample of 42 countries. We find that the decline in matching, documented by Dichev and Tang (2008), is not unique to the U.S. but a world-wide phenomenon. Our results show that matching is weaker in countries with: (1) more widely use of accrual accounting; (2) a larger portion of firms reporting significant special items; (3) slower economic growth; (4) more research and development activities; (5) larger service sectors; and (6) stronger investor protection. There is no evidence that mandatory IFRS adoption affects matching. Changes accounting and economic factors collectively explain the downward trend in matching. Overall, the results suggest that both accounting and economic factors are important determinants of matching over time and across countries. Key words: Matching; accounting principles; revenues and expenses; IFRS; international markets JEL Classification: G15, M41 August 2014 * We are grateful to helpful comments from Ilia Dichev, Brian Roundtree, Stephen Taylor, Terry Walter and workshop participants at the University of Technology, Sydney. Yaowen Shan gratefully acknowledges the financial support by UTS-BRG grants.

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Page 1: International Evidence on the Matching between Revenues and

International Evidence on the Matching between Revenues and Expenses*

Wen He

School of Accounting

University of New South Wales

Kensington, Sydney, NSW 2052, Australia

[email protected]

Yaowen Shan

School of Accounting

University of Technology, Sydney

Broadway, Sydney, NSW 2007, Australia

[email protected]

Abstract

This study investigates the time-series trend and determinants of matching between revenues

and expenses in a sample of 42 countries. We find that the decline in matching, documented

by Dichev and Tang (2008), is not unique to the U.S. but a world-wide phenomenon. Our

results show that matching is weaker in countries with: (1) more widely use of accrual

accounting; (2) a larger portion of firms reporting significant special items; (3) slower

economic growth; (4) more research and development activities; (5) larger service sectors;

and (6) stronger investor protection. There is no evidence that mandatory IFRS adoption

affects matching. Changes accounting and economic factors collectively explain the

downward trend in matching. Overall, the results suggest that both accounting and economic

factors are important determinants of matching over time and across countries.

Key words: Matching; accounting principles; revenues and expenses; IFRS; international

markets

JEL Classification: G15, M41

August 2014

* We are grateful to helpful comments from Ilia Dichev, Brian Roundtree, Stephen Taylor, Terry Walter and

workshop participants at the University of Technology, Sydney. Yaowen Shan gratefully acknowledges the

financial support by UTS-BRG grants.

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1. Introduction

Matching of revenues to expenses is a fundamental principle in accounting, and

proper matching ensures earnings to reliably capture a firm’s profitability.1 However, Dichev

and Tang (2008; hereafter DT) document a significant decline in the contemporaneous

revenue-expense relationship of large U.S. companies over the past 40 years, suggesting that

matching has declined. Though the evidence appears unambiguous, researchers disagree on

why matching has declined and how accounting standard setters should respond. One view is

that the decline is attributable to changes in accountings standards, such as a shift from an

income-statement approach to a balance-sheet approach to determine earnings (DT), and the

passage of SAB101 in 2000 that resulted in an increase in recognition of deferred revenues

(Prakash and Sinha 2012). Accordingly, this view suggests that these accounting changes led

to deterioration in the quality of accounting information, which contradicts standard setters’

objective of making accounting information more useful. The other view, however, believes

that changes in economic activities are responsible for the decline in matching. For example,

Donelson, Jennings and McInnis (2011; hereafter DJM) show that the decline is primarily

due to increasing incidences of large special items, which in turn is caused by changes in

economic activities rather than changes in accounting. Srivastava (2011) shows that the shift

in the U.S. economy towards industries with higher period costs and more research and

development activities has contributed to the decline in matching.

In this study we examine the trend and determinants of matching between revenues

and expenses using a sample of 42 countries. Our examination in the international setting is

important for at least three reasons. First, it helps us better understand the reasons behind the

decline in matching in the U.S. Existing U.S. studies mostly rely on time-series analysis and

1 The matching principle requires a firm’s expenses to be recognized in the same period in which the revenues

are earned. Dichev and Tang (2008) provide theoretical predictions and empirical evidence that the mismatch

between revenues and expenses (poor matching) is likely to increase earnings volatility and decrease earnings

persistence, implying lower quality of accounting information.

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make inference based on the coincidence of the decline in matching and changes in

accounting or economic activities over time. While such time-series analysis is informative, it

could not rule out the possibility of spurious correlation and there are potentially an unlimited

number of events that can be correlated with the time-series trend in matching. In contrast,

our examination using international data provides a unique setting where large cross-country

variations in accounting standards and economic activities enable us to conduct more

powerful tests and draw robust conclusions on the determinants of matching. Our results

therefore contribute to the current debate in the U.S. by providing out-of-sample evidence.

Second, there is little empirical evidence on matching in non-U.S. markets,2 despite the fact

that matching remains one of the fundamental accounting principles in the accounting

conceptual framework in many countries. Our international evidence thus fills in the void in

the literature and is informative to standard setters around the world concerning about the

quality of accounting information. Third, a number of countries mandatorily adopted

International Financial Reporting Standards (IFRS) in recent years. Accordingly, we use the

adoption of IFRS as a natural experiment to examine the relation between significant

accounting changes and matching between revenues and expenses. To our knowledge, we are

among the first to document evidence on the association between IFRS adoption and the

quality of matching.

Following Dichev and Tang (2008), we measure matching as the contemporaneous

relation between revenues and expenses. Our sample includes 42 countries for which we can

estimate matching annually from 1991 to 2010. We find that the decline in matching is not

unique to the U.S., but a world-wide phenomenon over the past two decades. The average

matching estimate has decreased significantly from 0.886 in 1990s to 0.801 in 2000s. The

result holds for a subsample of 13 countries that have non-missing matching estimates every

2 One exception is Jin, Shan and Taylor (2012) who examine matching in Australia.

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year during the sample period. In each of these 13 countries we observe a decrease in

matching, and the decrease is statistically significant for 11 countries.

We then examine whether accounting standards, economic activities and country-

level governance attributes explain cross-country differences in matching. For accounting

standards we consider the extensiveness of accrual accounting and the adoption of IFRS. The

extensiveness index of accrual accounting reflects the extent to which accrual accounting is

used in a country’s accounting standards. Accrual accounting could improve matching as

revenues and expenses are recognised as they are earned or incurred, regardless of the

receipts or payments of cash.3 However, accrual accounting could also lead to poor matching

because a large amount of accruals, as a reflection of managerial estimations and/or

discretions, is likely to contain large estimation errors or it allows managers to

opportunistically shift revenues or expenses over accounting periods. Therefore it remains an

empirical question as to how accruals accounting affects matching.

The adoption of IFRS represents one of the most significant changes in accounting

regime in many countries. Matching could decline after its adoption because IFRS follows a

balance-sheet approach and allows a larger scope for fair value accounting (DT). However,

there is some evidence that the adoption of IFRS restricts managerial opportunistic behaviour

and increases accounting quality (Barth, Landsman and Lang 2008), implying better quality

of matching under IFRS. We test these conjectures in our empirical tests.

We examine a number of economic factors as determinants of matching, including the

proportion of firms reporting large special items, economic growth, the weight of service

industry in a country’s GDP and the intensity of R&D activities. DJM show that changes in

economic activities, such as increasing competition, lead to rising incidences of large special

items that are responsible for the decline in matching in the U.S. In addition, large special

3 For example, depreciation allows the cost of a machine to be spread out in its useful life, which helps match

revenues generated by the machine to depreciation expenses over time.

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items tend to be recognized in recessions or economic downturns. Srivastava (2011), on the

other hand, finds that the matching decline in the U.S. is parallel to an increase in the weight

of service industry in the U.S. economy and an increase in the outlay of research and

development (R&D). Both increases lead to higher period costs (relative to production costs)

that have little relation to current revenues, resulting in a decline in matching.

We also consider whether country-level governance quality affects matching between

revenues and expenses. A growing body of literature has shown that a country’s legal system

and investor protections have a significant impact on its accounting system and properties of

financial reporting. In particular, in countries with a common law legal origin and stronger

investor protections, accounting is more conservative (Ball, Kothari and Robin 2000,

Bushman and Piotroski 2006) and earnings are less managed (Leuz, Nanda and Wysocki

2003). While conservative accounting could result in poor matching (DT), less managerial

discretion could improve matching. We test the effect of investor protection on matching

empirically.

Our results reveal a negative association between matching and the extensiveness of

accrual accounting in a country’s accounting standards, consistent with the view that

estimation errors and opportunistic earnings manipulation associated with accrual accounting

hinder the matching between revenues and expenses. This is also in line with DT’s findings

that the decline in matching is only evident in accrual-based revenues and expenses, but not

in cash-based revenues and expenses. Regarding the adoption of IFRS, we use a difference-

in-difference approach and compare IFRS adopters and non-adopters in the periods before

and after 2005, a year in which the majority of adopters mandated IFRS. However, we do not

find that the IFRS adoption has a significant impact on matching in our sample countries.

We find measures of economic activities are strongly associated with matching across

countries. Specifically, matching is weaker in countries where more companies report

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significant special items, where GDP growth rates are low, where there are more R&D

activities, and where service sector accounts for a larger portion in the economy. These

results support the view that economic activities are important determinants of matching.

Institutional factors are also found to have a significant effect on matching.

Contemporaneous revenue-expense relation is weaker in countries with a common law legal

origin and stronger investor protections. However, in these countries, there is a stronger

association between past expenses and current revenues, implying expenses are more likely

to be recognized before the associated revenues. If, as DT suggest, the extent to which

“expenses lead revenues” can be used as a measure of conservatism, our results imply more

conservative accounting in countries with strong investor protections. This is consistent with

Ball, Kathori and Robin (2000) and Bushman and Piotroski (2006) that asymmetric loss

recognition, a commonly-used measure of accounting conservatism, is greater in countries

with stronger investor protections. Our results also imply that more conservative accounting

is associated with a poorer quality of matching between current revenues and current

expenses, consistent with DT’s evidence from the U.S. where deterioration in

contemporaneous revenue-expense relations coincides with an increase in the relationship

between past expenses and current revenues.

Finally, we examine whether the accounting and economic factors are able to explain

the decline in matching around the world. Once we control for these factors in regressions,

we find the downward trend in matching disappears, and both accounting and economic

factors have independent and incremental effects on matching. The result therefore suggests

that the decline in matching is mainly attributable to changes in both accounting and

economic factors.

This study makes several contributions to the literature. First, it is among the first to

provide empirical evidence on matching for a large sample of countries outside of the U.S.

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This evidence is important for the understanding of cross-country differences in the

properties of accounting information and for the understanding of the determinants of these

differences (Ball, Kathori and Robin 2000, Ball, Robin and Wu 2001, Bushman and Piotroski

2006).

Second, our results show that both accounting and economic factors are important

determinants of matching, and changes in these factors are able to explain the observed

decline in matching. Our results contribute to the current debate on whether matching

decline in the U.S. is attributable to changes in accounting standards or changes in economic

activities. Our evidence provides useful insights and novel evidence to this debate, although

we do not aim to resolve this debate.

Third, we find no evidence that the mandatory adoption of IFRS affects matching in

our sample countries. This adds to a growing literature examining the effect of IFRS adoption

(e.g., Daske et al. 2008, DeFond et al. 2011, Landsman et al. 2012). The evidence would be

of interest to policy makers in counties (e.g., U.S.) that are considering adopting IFRS as the

principle accounting standards.

The rest of the paper proceeds as follows. Section 2 reviews related studies and

develops the hypotheses. Section 3 describes research design and Section 4 reports the

empirical results. We conclude in Section 5.

2. Hypothesis Development

Matching has long been recognized as a fundamental principle in accounting. For

example, in their classic book Paton and Littleton (1940) refer to matching as “the principal

concern” and “the fundamental problem” of accounting. Proper matching of revenues to

expenses incurred in generating such revenues is essential for earnings, the difference

between revenues and expenses, to appropriately capture profits earned in the accounting

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period. In contrast, poor matching could lead to over-stated or under-stated accounting profits,

resulting in reduced usefulness of earnings as a measure of a firm’s performance. However,

in the past several decades, matching has been found to decline in the U.S., and researchers

disagree on the reasons for the decline.

DT is the first study to document a downward time-series trend in matching. They

show that the contemporaneous relationship between revenues and expenses decreased, while

the relation between current revenues and lagged and future expenses increased in the period

from 1967 to 2003. DT further show that there is no temporal decline matching between

cash-based revenues and expenses, in sharp contrast to a significant decline in matching

between accrual-based revenues and expenses. Based on this evidence, DT attribute the

decline in matching mainly to accounting factors such as the shift in accounting standards

away from matching as the foundation of financial reporting and toward a balance-sheet-

based model. Prakash and Sinha (2012) find that the passage of SAB101 in 2000 resulted in

an increase in recognition of deferred revenues, potentially causing lower matching after

2000.

DJM also document a decline in contemporaneous revenues-expenses relation, but

they find that the decline is primarily driven by a low correlation between revenues and

special items and an increase in the incidence of large special items over time. They further

show that changes in economic activities, such as increasing competition pressure, are likely

to play an essential role in the increasing incidence of special items. Srivastava (2011)

provides evidence that decline in matching is associated with increasing research and

development expenses and higher period costs relative to variable costs in the U.S. industries.

Overall, these studies challenge DT’s explanation of accounting standard changes and

suggest changes in economic activities as the key driver of the decline in matching.

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In their discussion, DT (page 1427) note that there could be three possible reasons for

poor matching. The first one is economic or business factors, such as fixed costs in operation,

poor traceability of costs, and assets impairment or corporate restructuring that result in large

special item losses. The second reason is accounting rules. For example, R&D expenses are

required to be expensed regardless of traceability. The third is the managerial discretion, such

as shifting revenues or expense across accounting periods to smooth earnings or take a “big

earnings bath”.

These reasons, however, are likely to simultaneously affect matching. For example,

globalization of markets has caused influx of foreign goods and increasing use of outsourcing,

resulting in more competition, more bankruptcies, and more restructuring. One manifestation

of these significant economic changes in financial statements is the increasing number of

large special items and accounting losses. At the same time, U.S. accounting standards have

experienced several changes over the same time period, which is likely to affect matching

between revenues and expenses. Furthermore, the incentives for managers to alter reported

accounting numbers could also change over time in response to factors such as investor

sentiment (Rajgopal, Shivakumar and Simpson 2007) and regulations (e.g., Sarbanes-Oxley

Act). Simultaneity of these forces makes it difficult to disentangle their individual effect

from a pure time-series analysis as in prior studies, and a cross-country study with multiple

time-series would offer useful insights.

In our international setting, we first consider the effect of accounting standards on the

degree of matching success across countries. In particular we examine whether matching is

systematically associated with the use of accrual accounting in a country’s accounting

standards. As Hung (2001) documents, almost every country uses accruals accounting, but to

different degrees. For example, accruals accounting are more widely used in British-

American countries (e.g., Australia, Canada, the U.K. and the U.S.) than in continental

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European countries. The effect of accrual accounting on matching, however, is ambiguous.

On the one hand, accruals accounting improves matching because the key advantage of

accrual accounting over cash accounting is better matching of revenues and expenses

regardless of payments of receipts of cash. For example, depreciation allows the cost of fixed

assets to be spread over their useful life, matching the revenues generated in future periods.

As another example, in Finland, the local GAAP allows R&D expenditures to be capitalized,

which possibly enhances matching between R&D expenses and future revenues generated

from R&D activities. On the other hand, many accruals need to be estimated or forecast,

allowing managers to use discretion to shift expenses across accounting periods. For example,

managers could under-estimate depreciation expenses for a few years and report a large

write-down of asset value in one year. This practise will reduce the degree of matching of

revenues and depreciation expenses. Based on the above discussion, we state our first

hypothesis in the null form as follows.

H1: The use of accruals accounting does not affect the matching of revenues to

expenses.

In 2000s a number of countries adopted IFRS, which represents one of the most

significant regulatory changes in accounting history. It is unclear how the IFRS adoption

would affect matching. One view is that matching could improve after the adoption because

IFRS are more restrictive than local GAAP in many aspects and thus will reduce managerial

manipulation (Barth, Landsman and Lang 2008). The other view, however, predicts the

opposite because IFRS follows a balance-sheet approach and uses fair-value accounting that

will result in more gain or losses (expenses) from asset revaluation rather than from revenue

generating activities. These views lead to our second hypothesis, stated in null form as

follows.

H2: The adoption of IFRS does not affect the matching of revenues to expenses.

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Aiming to measure and capture business activities in firms, accounting numbers are

ultimately driven by economic factors. Changes in economic activities should have a

fundamental effect on outputs of the accounting system. For this reason, it is plausible that

matching between revenues and expenses is likely to be affected by variations in economic

activities (DJM, Srivastava 2011). We consider two economic factors as potential drivers of

matching success. The first factor is the growth rate of macro economy that could affect

matching in several ways. First, economic growth affects the weight of variables costs in total

expense. In an economic expansion period, firms increase production activities and variable

costs account for a large portion of total expenses. In recessions, production activities and

variable costs decline, but fixed costs are sticky and remain high, resulting in a lower portion

of variable costs in total expense. Since variable costs can be better matched to revenues than

fixed costs, one could expect matching between revenues and total expenses to be higher in

economic expansions than in recessions. Second, in recessions, firms are more likely to write

down or write off their assets, resulting in large negative special items that have little

correlation with revenues in that accounting period. Third, recessions also see intensified

industry competition and more corporate restructuring that lead to large restructuring

expenses, which also have little relation to revenues in that accounting period. These

arguments predict better matching between revenues and expense in periods with higher

economic growth. We therefore state our third hypothesis in null form as follows.

H3: Economic growth does not affect matching between revenues and expenses.

The second economic factor is the composite of economy. Srivastava (2011)

documents that the decline in matching in the U.S. coincides with an increase in aggregate

R&D spending and a growing service sector in the U.S. economy. Since R&D expenditures

are required to be expensed immediately regardless of their implication on future revenues,

more R&D spending is expected to result in a lower contemporaneous relation between

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revenues and expenses. Firms in service sectors usually have high fixed-to-variable cost ratio

(Brignall et al. 1991). Service firms also have high period costs such as marketing expense,

accounting and auditing fees, litigation and lobbing, expensed as incurred regardless of their

association with revenues (Srivastava 2011). These features will result in lower matching

between revenues and expenses in service industries. Based on this discussion, we state our

fourth and fifth hypotheses in null form as follows.

H4: R&D spending does not affect matching between revenues and expenses.

H5: The weight of service section does not affect matching between revenues and

expenses.

There is a growing literature on how country-level institutional factors affect the

properties of reported earnings (e.g. Ball, Kathori and Robin 2000). In particular Leuz, Nanda

and Wysocki (2003) document that reported earnings are less smoothed or managed in

countries with stronger investor protection. If stronger investor protection restricts managerial

discretion and earnings management, we could expect higher matching between revenues and

expenses in stronger investor protection countries. On the other hand, Bushman and Piotroski

(2006) find that accounting is more conservative in countries with stronger investor

protection. If conservative accounting results in accelerated recognition of expenses or

delayed recognition of revenues (DT), we might expect lower matching in stronger investor

protection countries. This discussion leads to our sixth hypothesis in the null form as follows:

H6: A country’s investor protection does not affect matching between revenues and

expenses.

3. Variables, Sample and Data

3.1 Measures of matching

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Following DT, we estimate the relation between revenues and expenses using the

following multivariate regression:

REVit= a + b1EXPit-1 + b2EXPit + b3EXPit+1 + e i t (1)

where REVit is the revenues for firm i in year t, and EXPit is total expenses, computed as the

difference between revenues and earnings after tax. Both revenues and expenses are deflated

by total assets in year t. We estimate Equation 1 for each country-year and use the coefficient

on current-period expenses (b2) as the country-specific measure of matching. Relative to

simple correlation coefficients, the multivariate specification in Equation 1 has an advantage

in that it controls for the strong auto-correlation in expenses. This is especially important if

researchers are interested in the relation between revenues and non-contemporaneous

expenses. Furthermore, since past, present and future expenses have roughly the same

variation, the coefficients in Equation 1 indicate the incremental correlations between

revenues and expenses. Both DT and follow-up studies use this specification and take b2 as a

quantitative measure of matching.

DT note that the coefficient of past expenses, b1, indicates the extent to which past

expenses “lead” current revenues. They propose to use b1 as a new measure of accounting

conservatism because recognizing expense before their associated revenues seems to capture

the very essence of conservatism. Lee (2011) provides some evidence supporting using b1 to

measure conservatism.

3.2 Accounting factors

There are significant differences in accounting standards across countries. We focus

on the use of accrual accounting, as DT find some evidence that accrual accounting could be

responsible for the decline in matching in the U.S. To measure the extent to which accrual

accounting is used in a country’s accounting standards, we use an accrual index developed by

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Hung (2001) who examined 11 accrual-related accounting standards in 1993. If a country

applied accrual method to a particular accounting standard, it scored one. The index is the

sum of the scores, with higher scores indicating a wider use of accrual accounting. The index,

however, is only available for 24 countries, and is based on accounting standards in 1993. In

2000s when a number of countries adopted IFRS, the accrual index is no longer a valid

measure of accrual accounting across countries. Therefore, our empirical test on the accrual

index uses data prior to a country’s adoption of IFRS.

We supplement this accrual index with an alternative measure based on total accruals.

If accrual accounting is widely used in a country, we would expect a higher magnitude of

reported total accruals. For each country-year, we use the median of absolute value of total

accruals to capture the degree of accrual accounting. Following Sloan (1996) we use balance-

sheet approach to construct total accruals, which is available every year for all countries in

our sample.

To examine the effect of mandatory adoption of IFRS on matching, we use a

difference-in-difference approach to control for any time-series change in matching

experienced by all countries in the sample period. This control is important as a number of

changes in economic activities could lead to a decline in matching in every country.

Specifically we bench mandatory adopting countries against those that do not adopt IFRS,

and examine whether the difference in matching between adopters and non-adopters changes

after IFRS adoption. In empirical tests we create an indicator variable, IFRS, which takes

value of 1 for countries that adopted IFRS in 2000s. Since most of the countries adopted

IFRS in 2005, we construct an indicator variable, POST, for years after 2005. We then

regress country-year measure of matching on IFRS, POST, and an interaction term between

IFRS and POST. The coefficient of IFRS captures the difference in matching between

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adopters and non-adopters prior to 2005. Of interest is the coefficient of the interaction term

which captures whether this difference has changed after 2005.

3.3 Economic factors

We consider the following measures of economic activities in a country. The first

measure is economic growth, captured by annual GDP growth rates. The second measure is

the proportion of firms reporting large special items in the annual financial statements.

Following DJM, we define large special items as those no less than 1% of total assets. DJM

show that the frequency of reporting large special items is closely related to a number of

economic events including employee growth, merger and acquisition activity, discontinued

operations, operating losses and sales growth. So the frequency of large special items could

serve as a parsimonious measure of economic activities.

The third measure is the weight of service sector in a country’s economy, calculated

as the ratio of service sector value added to GDP. Srivastava (2011) argues that decline in

matching in the U.S. is attributable to the increasing weight of service sector in the U.S.

economy. Our fourth measure is the intensity of R&D activity, captured by the number of

patents granted by the U.S. to non-U.S. citizens in a country, deflated by the country’s

population (in 100,000s). The rationale for using the number of patents is that more R&D

activities are expected to produce a larger number of patents recognized by the U.S.

We acknowledge that some of these measures of economic activities also have much

to do with accounting. For example, a key reason why R&D activities affect matching is the

accounting rule that requires most of R&D costs be expensed immediately, regardless of

whether they can bring in future revenues. Furthermore, although large special items may

capture the consequences of some economic activities, DT suggest that special items

themselves indicate poor matching because many special items arise because of assets

revaluation or unusual charges, which manifest a lack of relationship between revenues and

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expenses. These issues highlight the difficulty in disentangling the effect of accounting and

economic factors, since any accounting number is an outcome of both economic activities

and application of accounting rules.

3.4 Governance factors

Prior studies have shown that country-level governance factors, particularly investor

protections, have a significant impact on the outcomes of financial reporting (Ball, Kothari

and Robin 2000, Bushman and Piotroski 2006). Following this literature, we use three

measures of investor protection in our empirical tests. The first measure is an indicator

variable taking value of one for countries with a common law legal origin. La Porta et al.

(1998) find evidence suggesting that common law countries generally have stronger legal

protection for investor rights. The second measure is the anti-director rights index, developed

by La Porta et al. (1998). Based on six rules of investor voting (voting by mail, voting

without blocking of shares, and calling an extraordinary meeting) and minority protection

(proportional board representation, pre-emptive rights, and judicial remedies), the index

captures the strength of minority shareholder protections and has been widely used in the

literature. The third measure is the anti-self dealing index as in Djankov et al. (2008) who

construct the index based on legal rules that governs a specific self-dealing transaction. The

index captures the strength of legal protections of minority shareholders against expropriation

by corporate insiders.

3.5 Data and Sample

We obtain financial statement items from Compustat North America and Compustat

Global Vantage. We require firms to have non-missing data for total assets, revenues and net

profits for consecutive three year periods, as we need to calculate past, current and future

expenses to estimate matching. Our sample period starts from 1990 when accounting data are

more available for non-U.S. companies, and ends in 2011, with estimates of matching

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available in the 20 year period from 1991 to 2000. Following DJM we exclude financial firms

from the sample. To mitigate the effect of potential data errors and extreme values, we

winsorize revenues and expenses (deflated by total assets) at the 1st and 99th percentiles. To

have a reliable estimate of matching in a year, we require a country to have at least 100 firms

with sufficient data in that year. We also require a country to have estimates of matching for

at least five years. After these filters we obtain a Full sample of 42 countries and 623 country-

year estimates of matching.

One issue with the Full sample is that the number of firms in a country may increase

over time for two reasons. First, databases such as Compustat Global Vantage usually start

their coverage with largest companies, and then gradually include smaller firms in the

databases. Second, more firms go public than delist, increasing the number of public firms

over time. A practical way to maintain a relatively constant sample of firms that are important

to an economy is to focus on large firms only. For example, DT select largest 1,000 U.S.

firms each year to form their sample. Since most non-U.S. markets have less than 1,000 firms

covered by Compustat Global Vantage in most of the years, we instead select the largest 200

companies in a country each year to form the Top 200 sample. If a country has fewer than

200 firms (but more than 100 firms) covered by Compustat Global Vantage, we include all

the firms in that country. This sample selection criterion ensures that we have a large sample

of country-year observations and our estimates of matching are based on a relatively stable

and representative sample of firms.

In our empirical tests, we report the results for both the full sample and the Top 200

sample. Note that the difference between these two samples is that the full sample includes a

larger number of smaller firms and younger firms. To the extent that smaller and younger

firms are more likely to be service firms or have larger R&D expenditures, the difference in

the results for these two samples may reflect the impact of the shift in the real economy

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toward service sectors and R&D intensive industries. On the other hand, finding consistent

evidence from both samples would provide stronger support for our hypotheses and suggest

that the results are not driven by changes in the composition of the sample.

4. Empirical Results

4.1 Matching over time and across countries

Table 1 reports the time-series average estimate of matching for each country based

on the full sample and the Top 200 sample. We first validate our estimates by comparing our

estimates of matching for the U.S. with those reported in prior studies. As both DT and DJM

estimate matching using the largest 1,000 U.S. firms, we focus on our estimates based on the

Top 200 sample. In the bottom line of Table 1 we estimate the average matching of 0.900

based on the largest 200 U.S. companies for the period from 1991 to 2010. DT report an

average matching of 0.882 for the period from 1986 to 2003 (Table 3, p1437), while DJM’s

estimate is 0.895 for the period from 1986 to 2005 (Table 1, p948). This comparison suggests

that our estimates of matching are comparable to those in prior studies.4

Table 1 reveals that there are large cross-country variations in estimates of matching,

particularly in the full sample. Countries like Australia, Canada, and the U.S. have lowest

estimates of matching, while matching seems to be higher in countries like India, Pakistan,

Peru and Turkey. This variation is smaller in the Top 200 sample, with estimates ranging

from 0.692 in the Philippines to 1.019 in China.

Comparing the two samples, we find that the estimates of matching are always lower

in the full sample than those in the Top 200 sample. For example, the average matching for

the U.S. is estimated to be 0.479 in the full sample, but 0.900 in the Top 200 sample. Since

these two samples differ only in that the full sample includes smaller and younger firms, the

4 Our estimates of the coefficients of lagged and future expenses (b1 and b3, respectively) are also comparable

to those reported in prior studies. For example, we estimate that b1 (b3) is 0.093 (0.027), compared with 0.089

(0.025) as reported by DJM.

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difference in matching estimates suggest the smaller and younger firms are likely to have a

lower contemporaneous relation between revenues and expenses. This piece of evidence is

consistent with findings in Srivastava (2011) who shows that in the U.S. the average

matching of largest 1,000 firms with at least 10 year operating history is higher than that of

smaller and younger firms.

There may be a few reasons why smaller and younger firms have lower matching

between revenues and expenses. Firstly, these firms are likely to operate in service industries

and have large R&D expenses, as Srivastava (2011) documents a time-series increase in the

aggregate R&D outlays and the weight of service sector in the U.S. economy. Secondly these

firms are more likely to be affected by economic recessions and recognize larger amount of

special items losses. The third reason could be that managers in these firms may have

discretion in the recognition of revenues and expenses since they face less litigation risk and

investor monitoring. However, since both large and small firms in a country use the same set

of accounting standards, the difference in matching between these two groups of firms cannot

be explained by accounting factors alone. It appears that economic factors must be an

important driver of cross-sectional difference in matching.

[Insert Table 1 here]

In Table 2, we examine whether matching changes over time in our sample of

international markets. Panel A reports an average matching estimate across countries for

every year in our sample period. We find that average matching has declined from 1990s to

2000s. In the full sample, average matching decreased from 0.886 in 1990s to 0.801 in 2000s.

The Top 200 sample also shows a decline in matching from 0.936 to 0.883. Both decreases

are statistically significant at 5% level. At the same time we find an increase in the

relationship between current revenues and past expenses, and between current revenues and

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future expenses. This result is consistent with the U.S. evidence, suggesting that decline in

matching is a universal phenomenon.

Panel A also shows that the number of countries in our sample increases over time, so

there are different sets of countries in the two sub-sample periods, which may invalidate the

results from a simple comparison. To address this concern we focus on a constant sample of

13 countries that appear every year in the 20-year sample period. Panel B of Table 2 reports

the average matching each year for these 13 countries. The average matching for the full

sample decreased from 0.862 in 1990s to 0.691 in 2000s. For the Top 200 sample, average

matching declined from 0.946 to 0.871. These decreases are statistically significant at 1%

level.

In Figure 1, we plot the time-series of matching for the full sample and the Top 200

sample. A visual examination of the figure shows a clear downward trend in the matching for

the full sample. Matching for the Top 200 sample also exhibits an observable, though less

significant, downward trend over time.

Panel C in Table 2 examines the average matching in the two sub-sample periods for

each of these 13 countries. For the full sample we find matching has declined in every

country and the decline is statistically significant at 5% level in 11 countries. For the Top 200

sample matching has declined in 10 counties, and the decline is statistically significant at 5%

level in 3 countries. These results reinforce the conclusion that the decline in matching is not

unique to the U.S. but is a world-wide phenomenon.

Comparing the decline in matching in the two samples, we find that the decline is

usually larger in the full sample. For example, Panel B shows that average matching in the

constant sample of 13 countries declined by 0.171 in the full sample, compared with a decline

of 0.075 in the Top 200 sample. This result suggests that the decline in matching is more

striking in the smaller and younger firms, and that the previously documented decline in the

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1,000 largest U.S. firms is likely to underestimate the actual decline in matching in the

overall economy.

[Insert Table 2 and Figure 1 here]

4.2 Determinants of matching

We now investigate whether cross-country variations of matching can be explained by

accounting, economic and governance factors. Our empirical strategy is to regress matching

estimates on various determinants using pooled cross-country and time-series samples. One

issue with a pooled sample is potential under-estimates of standard errors. We follow

Petersen’s (2009) suggestion to include year fixed effect in regressions and adjust standard

errors for clustering effect at country level.5 We report two sets of results for estimates of

matching based on the full sample (in Panel A) and the Top 200 sample (in Panel B).

Table 3 examines the association between matching and a country’s accounting

standards. We first consider the scope of accrual accounting, as captured by an accrual index

and the median absolute value of total accruals. Model 1 and 2 show that both measures of

accrual accounting are negatively and significantly associated with matching, suggesting that

matching is weaker in countries where accrual accounting is more widely used. These results

are consistent in both panels, suggesting the use of accrual accounting affects both large and

small firms. This finding is consistent with DT’s evidence that decline in matching in the U.S.

is only observed for accrual-based revenues and expenses. Taking together the cross-country

evidence in our study and the time-series evidence in DT, we conclude that accrual

accounting is an important determinant of matching.

We then examine the effect of adoption of IFRS on matching. We use a difference-in-

difference approach and investigate if the difference in matching between adopters and non-

5 As a robustness test, we also run regression without year-fixed effect but adjust standard errors for two-way

clustering effect at both country and year level. Our main results remain intact with two-way cluster adjusted

standard errors.

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adopters changed after 2005 when the majority of adopters mandated IFRS. We use

observations in 2000s to do the test. In Model 3 the coefficient of the interaction term

between IFRS and POST is negative but statistically indifferent from zero, implying that

relative to non-adopters IFRS adopters did not experience a decline in matching after 2005.

For robustness we also examine various specifications such as including year-fixed effects in

regressions, excluding year 2005, or excluding Singapore from the sample. We do not find

significant results in any of these robustness tests. Therefore, we conclude that there is no

evidence that matching declined after the mandatory adoption of IFRS.

[Insert Table 3 here]

In Panel A of Table 4 we investigate the effect of economic activities on matching

estimated from the full sample. Model 1 shows that matching is weaker in countries where a

larger portion of firms report large special items. This result is consistent with the time-series

evidence in DJM that the decline in matching in the U.S. is primarily driven by the increasing

incidences of large special items resulting from various economic activities. In Model 2, we

find a positive association between matching and GDP growth rates, suggesting that

matching is weaker during economic downturns. In Model 3 the coefficient of Royalty is

negative and statistically significant, indicating that matching is weaker in countries with

more intensive R&D activities. Model 4 reveals a negative association between matching and

the weight of service sector in an economy, consistent with the argument of Srivastava (2011)

that service sectors have higher period costs that carry weaker association with current

revenues. In Model 5 we include all four measures of economic activities in the regression to

examine their incremental correlation with matching. The coefficient of Special Items

remains negative and statistically significant, while GDP Growth, Royalty and Service lose

significance in their association with matching.

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In Panel B, we report the effect of economic factors on matching for the Top 200

sample. Model 1 and 2 show that recognition of large special items and GDP growth rates are

important determinants of matching. However, the coefficients of Royalty and Service in

Model 3 and 4 become statistically insignificant. One reason for this result is that large and

mature firms in the Top 200 sample are less affected by shifts in real economy toward service

oriented and R&D intensive industries. Model 5 reveals that Special Items and GDP Growth

have significant coefficients when we include all the four variables in the regressions. Overall,

the results in Table 4 support the view in DJM and Srivastava (2011) that economic factors

are important cross-sectional determinants of matching.

[Insert Table 4 here]

Table 5 examines the effect of country-level investor protections on matching. In

Panel A the dependent variables are matching (the contemporaneous revenues-expenses

relation) and b1 (the relation between current revenues and lagged expenses) estimated from

the full sample. DT suggest that b1 could be an appropriate measure of conservatism because

it captures the extent to which expenses are recognized prior to revenues. The results show

that all three measures of investor protections have consistently negative and statistically

significant coefficients in the matching regressions, suggesting that matching is weaker in

countries with stronger investor protection. On the other hand, investor protection measures

are positively associated with accounting conservatism, as measured by b1.

In Panel B we re-estimate the regressions using matching and b1 for the Top 200

sample. The measures of investor protection have predicted signs but with lower statistical

significance. To the extent that the relation between revenues and past expenses captures

accounting conservatism as suggested by DT, our result implied that accounting is more

conservative in countries with stronger investor protections. This implication is consistent

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with findings in Ball, Kothari and Robin (2000) and Bushman and Piotroski (2006) that

losses are recognized in a more timely manner in countries with strong investor protections.

The results in Table 5 suggest that while accounting is more conservative in countries

with stronger investor protection, matching is weaker in such countries. We note that our

cross-country evidence is also consistent with time-series evidence in DT who find that

matching declines when accounting in the U.S. is more conservative. We take these results as

suggesting that there is a trade-off between conservative accounting and quality of matching

between revenues and expenses. We believe that standard setters and users of accounting

information should be aware of this trade-off as it has important implications on the

properties of earnings.

[Insert Table 5 here]

4.3 Time trend in matching

We have documented a downward trend in matching between revenues and expenses,

suggesting the decline in matching is a worldwide phenomenon. In this sub-section, we

explore whether the accounting and economics variables, as examined above, can explain the

time-series decline in matching in an international setting. This analysis will shed light on the

current debate that the decline in the U.S. is attributable to changes in accounting or changes

in economic activities. Our empirical strategy is simple: we investigate whether the time

trend disappears once we control for the accounting and economic factors.6 Table 6 reports

the results from this analysis.

In Panel A, we examine matching estimated from all the firms in the sample.

Consistent with the results in Table 2 and Figure 1, Model 1 shows a coefficient of -0.005 (t-

stat = -2.51) for the time trend, suggesting a downward trend in matching around the globe.

6 We do not consider governance variables for this analysis because these variables are time invariant.

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The coefficient of the time trend, however, becomes insignificantly different from zero in

Model 2 where we add accounting and economic factors as controls. This result indicates that

there is no clear time trend in matching once we control for the accounting and economic

factors. Models 3 and 4 focus on a constant sample of countries with complete 20 year data

and obtain similar results. The time trend in matching becomes much smaller in magnitude

and only marginally significant after we control for accounting and economic factors in

Model 4. In Panel B, we do not observe a significant time trend in matching when we

estimate matching using the top 200 firms in each country.

Considering the accounting and economics factors, we find Total Accruals and

Special Items have significant coefficients with predicted signs in the models. This result

suggests that both accounting and economic factors have independent effects on matching

and their effects are incremental to each others. Combined with the results in Table 3 and 4,

our evidence implies that both accounting and economic factors are important determinants

of matching across countries and over time. Overall, the results in Tables 6 show that the

downward trend in matching is mainly attributable to the time-varying accounting and

economic factors.

[Insert Table 6 here]

5. Conclusion

This study provides evidence on matching of revenues and expenses in a large sample

of 42 countries. We find that matching around the world has declined in the past two decades,

but the decline is mainly attributable to changes in accounting and economic factors. After

exploring cross-countries differences in a number of institutional factors we show that

matching is weaker in countries with a wider use of accrual accounting, a larger number of

firms reporting large special items, lower economic growth, more R&D activities, larger

Page 26: International Evidence on the Matching between Revenues and

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service sectors and stronger investor protections. We do not find robust evidence that the

quality of matching altered after the mandatory adoption of IFRS.

This study adds to the current debate on why matching declined in the U.S. Our

results suggest that both accounting and economic factors are important determinants of

matching. It thus would be difficult to conclude the decline is due to one factor but not the

other by examining only the time-series coincidence of some changes in accounting and

economic activities. It is likely that both accounting and economic factors changed in the past

decades, which jointly contributes to the decline.

Our study also provides first evidence on the time-series properties of matching for a

large sample of non-U.S. countries. We document an obvious decline in matching around the

world, suggesting that the decline is not unique to the U.S. Furthermore, there is no evidence

that matching declined after the adoption of IFRS. This result would help regulators and

researchers to gauge potential impact of a convergence of the U.S. GAAP to IFRS.

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References

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Bushman, M.R., and J. D. Piotroski, 2006. Financial reporting incentives for consevative

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Daske, H., L. Hail, C. Leuz, and R. Verdi, 2008. Mandatory IFRS reporting around the world:

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Working paper, Singapore Management University.

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Appendix A: Variable Definitions

Matching Variables

Matching The regression coefficient on current expenses obtained by regressing revenues on

past, current and future expenses on an annual basis by country.

b1 The regression coefficient on past expenses obtained by regressing revenues on past,

current and future expenses on an annual basis by country.

b3 The regression coefficient on future expenses obtained by regressing revenues on

past, current and future expenses on an annual basis by country.

Determinants

Accrual Index A measure of the extent to which accrual accounting is used in a country’s

accounting standards. Data from Hung (2001)

Total Accruals The median of absolute value of total accruals (deflated by total assets) in a country-

year.

IFRS An indicator variable equal to 1 for countries that mandatorily adopted IFRS, and 0

for non-adopting countries

POST An indicator variable equal to 1 for observations after mandatory IFRS adoption, and

0 otherwise. For non-IFRS adopting countries, POST takes value of 1 for years after

2005, and 0 otherwise.

Special Items The ratio of the number of firms with significant special items (above 1% of total

assets) to the total number of companies in a country in the year

Royalty Natural log of total amount (in current dollars) received from foreigners for the

authorized use of intangible, non-produced, non-financial assets and proprietary

rights (such as patents, copyrights, trademarks, industrial processes, and franchises)

and for the use, through licensing agreements, of produced originals of prototypes

(such as films and manuscripts). Data from World Bank.

Service The ratio of value added by service sectors to GDP. Data from World Bank.

GDP Growth The annual growth rate of GDP. Data from World Bank.

Common Law An indicator variable equal to 1 for countries with a common law legal tradition,

and 0 otherwise.

Anti-Self Dealing An index of the strength of anti-self dealing law in a country. Data from Djankov et

al. (2008)

Anti-Director An index of shareholder rights. Data from La Porta et al. (1998).

Time Trend The difference between the year of observation and 1990.

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Appendix B: Country-level Variables

Country IFRS

Adopter

Accruals

Index

Total

Accruals

Special

Items Royalty

GDP

Growth Service

Common

Law

Anti-

Self

Anti-

Director

Argentina 0 0.07 0.15 18.05 4.56 57.96 0 0.34 4

Australia 1 0.82 0.04 0.27 19.64 3.23 70.41 1 0.76 4

Austria 0

0.05 0.18 19.62 2.05 68.43 0 0.21 2

Belgium 1 0.68 0.05 0.21 21.01 1.78 74.28 0 0.54 0

Brazil 0 0.05 0.13 18.88 3.08 66.78 0 0.27 3

Canada 0 0.82 0.05 0.26 21.46 2.42 66.72 1 0.64 5

Chile 0 0.04 0.06 17.42 3.43 53.13 0 0.63 5

China 0 0.03 0.01 18.95 10.33 38.63 0 0.76

Denmark 1 0.55 0.04 0.15 1.60 72.53 0 0.46 2

Finland 1 0.55 0.04 0.18 20.53 2.53 64.31 0 0.46 3

France 1 0.64 0.04 0.25 21.92 1.56 74.46 0 0.38 3

Germany 1 0.41 0.05 0.18 22.20 1.45 68.03 0 0.28 1

Greece 1 0.03 0.15 17.14 2.48 0 0.22 2

Hong Kong 1 0.64 0.03 0.20 19.22 3.95 90.47 1 0.96 5

India 0 0.02 0.11 17.85 7.04 52.00 1 0.58 5

Indonesia 0 0.05 0.07 17.82 3.81 38.94 0 0.65 2

Ireland 1 0.82 0.05 0.27 20.12 4.47 60.62 1 0.79 4

Israel 0 0.03 0.17 20.11 3.67 1 0.73 3

Italy 1 0.45 0.04 0.18 20.62 0.91 69.99 0 0.42 1

Japan 0 0.55 0.04 0.00 23.02 0.97 65.77 0 0.5 4

Jordan 0 0.01 0.02 8.14 67.56 0 0.16 1

Malaysia 0 0.03 0.08 20.66 5.94 44.05 1 0.95 4

Mexico 0 0.04 0.09 17.35 2.58 64.00 0 0.17 1

Netherlands 1 0.73 0.05 0.14 17.87 2.28 71.76 0 0.2 2

New Zealand 0 0.73 0.04 0.18 21.74 2.68 68.17 1 0.95 4

Norway 1 0.82 0.04 0.19 18.42 2.24 58.80 0 0.42 4

Pakistan 0 0.02 0.06 19.33 4.52 52.09 1 0.41 5

Peru 0 0.03 0.13 16.14 6.33 58.22 0 0.45 3

Philippines 1 0.04 0.09 14.00 4.61 53.32 0 0.22 3

Poland 1 0.03 0.20 15.16 4.00 64.61 0 0.29

Russia 0 0.03 0.18 17.87 4.88 59.24 0 0.44

Singapore 1 0.64 0.02 0.12 19.64 6.46 68.08 1 1 4

South Africa 1 0.68 0.03 0.22 19.58 3.24 65.10 1 0.81 5

South Korea 0 0.03 0.00 17.51 4.59 57.42 0 0.47 2

Spain 1 0.77 0.07 0.22 19.79 2.53 67.24 0 0.37 4

Sweden 1 0.59 0.04 0.15 21.32 2.11 69.56 0 0.33 3

Switzerland 1 0.32 0.05 0.16 1.38 70.04 0 0.27 2

Taiwan 0 0.03 0.00 0 0.56 3

Thailand 0 0.04 0.05 16.71 3.83 47.37 1 0.81 2

Turkey 0 0.03 0.14 4.93 62.29 0 0.43 2

United Kingdom 1 0.82 0.06 0.22 22.85 2.32 72.16 1 0.95 5

United States 0 0.86 0.05 0.32 24.59 2.53 74.97 1 0.65 5

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Table 1

Matching across Countries

This table reports the average estimates of matching for each country in our sample. The matching measures are

estimated from annual country-specific regression of revenues on past, current and future expenses.

REVit= a + b1EXPit-1 + b2EXPit + b3EXPit+1 + e i t (1)

where REVit is the deflated revenues for firm i in year t, and EXPit is total expenses, measured as the difference

between revenues and earnings after tax, divided by average total assets in year t. The measure of matching is

the coefficient on current-period expenses (b2).

Full sample Top 200 sample

Countries Obs Matching b1 b3 Matching b1 b3

Argentina 10 0.863 0.098 0.053 0.863 0.098 0.053

Australia 20 0.551 0.270 0.134 0.793 0.157 0.134

Austria 13 0.843 0.083 0.068 0.843 0.083 0.068

Belgium 13 0.998 0.002 0.009 0.998 0.002 0.009

Brazil 15 0.620 0.201 0.034 0.839 0.118 0.034

Canada 20 0.386 0.277 0.110 0.902 0.111 0.110

Chile 12 0.857 0.107 -0.013 0.857 0.107 -0.013

China 18 0.920 0.076 0.014 1.019 0.007 0.014

Denmark 20 0.851 0.136 0.027 0.851 0.136 0.027

Finland 13 0.850 0.069 0.080 0.850 0.069 0.080

France 20 0.896 0.078 0.022 0.956 0.051 0.022

Germany 20 0.917 0.076 0.012 0.982 0.031 0.012

Greece 12 0.960 0.056 0.010 0.960 0.056 0.010

Hong Kong 19 0.735 0.152 0.095 0.889 0.084 0.095

India 14 1.008 0.005 0.006 0.984 0.014 0.006

Indonesia 15 0.873 0.063 0.076 0.874 0.063 0.076

Ireland 12 0.776 0.215 0.050 0.776 0.215 0.050

Israel 12 0.739 0.104 0.093 0.790 0.087 0.093

Italy 15 0.947 0.037 0.018 0.948 0.034 0.018

Japan 20 0.905 0.090 0.004 0.963 0.034 0.004

Jordan 5 0.920 0.029 0.069 0.920 0.029 0.069

Malaysia 20 0.852 0.096 0.058 0.908 0.072 0.058

Mexico 13 0.937 0.052 0.032 0.937 0.052 0.032

Netherlands 20 0.854 0.103 0.016 0.854 0.103 0.016

New Zealand 12 0.714 0.291 -0.015 0.714 0.291 -0.015

Norway 15 0.755 0.160 0.044 0.755 0.160 0.044

Pakistan 12 1.005 0.014 -0.009 1.005 0.014 -0.009

Peru 9 1.003 0.035 -0.015 1.003 0.035 -0.015

Philippines 12 0.692 0.128 0.117 0.692 0.128 0.117

Poland 12 0.882 0.084 0.023 0.905 0.075 0.023

Russia 8 0.997 0.019 -0.024 0.997 0.019 -0.024

Singapore 20 0.910 0.079 0.004 0.972 0.041 0.004

South Africa 13 0.902 0.098 -0.001 0.934 0.079 -0.001

South Korea 16 0.908 0.059 0.038 0.952 0.039 0.038

Spain 18 0.947 0.045 0.020 0.947 0.045 0.020

Sweden 20 0.842 0.119 0.043 0.926 0.068 0.043

Switzerland 20 0.909 0.054 0.036 0.909 0.054 0.036

Taiwan 12 0.976 0.018 0.020 0.989 0.023 0.020

Thailand 17 0.888 0.093 0.037 0.900 0.088 0.037

Turkey 8 1.008 0.007 -0.031 1.008 0.007 -0.031

United Kingdom 20 0.743 0.139 0.096 0.891 0.075 0.096

United States 20 0.479 0.190 0.027 0.900 0.093 0.027

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Table 2

Matching over Time

This table reports the average estimates of matching over time The matching measures are estimated from

annual country-specific regression of revenues on past, current and future expenses.

REVit= a + b1EXPit-1 + b2EXPit + b3EXPit+1 + e i t (1)

where REVit is the deflated revenues for firm i in year t, and EXPit is total expenses measured as the difference

between revenues and earnings after tax, divided by average total assets in year t. The measure of matching is

the coefficient on current-period expenses (b2). Prob represents the p-values for testing the difference between

1990-2000 and 2001-2010 for a two tailed t-test. All variables are defined in Appendix A. *** , ** and *

indicate the coefficient is significant at the 1% , 5% and 10% level, respectively.

Panel A. Matching over time for all countries

Full sample Top 200 sample

Year Countries Matching b1 b3 Matching b1 b3

1991 13 0.900 0.084 0.015 0.955 0.037 0.013

1992 14 0.901 0.093 0.004 0.962 0.057 -0.016

1993 16 0.909 0.064 0.025 0.949 0.049 0.007

1994 17 0.864 0.117 0.016 0.888 0.093 0.025

1995 18 0.885 0.074 0.037 0.951 0.043 0.013

1996 22 0.932 0.051 0.011 0.974 0.039 -0.011

1997 23 0.858 0.122 0.015 0.892 0.098 0.012

1998 29 0.855 0.108 0.030 0.912 0.066 0.027

1999 36 0.890 0.068 0.032 0.956 0.042 0.003

2000 36 0.863 0.110 0.001 0.920 0.088 -0.014

2001 37 0.734 0.184 0.053 0.778 0.162 0.053

2002 38 0.755 0.154 0.070 0.814 0.114 0.081

2003 40 0.827 0.094 0.040 0.900 0.079 0.018

2004 41 0.773 0.142 0.056 0.851 0.124 0.026

2005 41 0.825 0.094 0.043 0.901 0.068 0.021

2006 41 0.827 0.070 0.070 0.902 0.046 0.048

2007 41 0.866 0.079 0.022 0.945 0.041 0.015

2008 41 0.809 0.141 0.013 0.896 0.101 0.002

2009 40 0.824 0.105 0.029 0.925 0.054 0.021

2010 39 0.774 0.100 0.101 0.916 0.069 0.030

1991-2000 0.886 0.089 0.019 0.936 0.061 0.006

2001-2010 0.801 0.116 0.050 0.883 0.086 0.032

Difference -0.084*** 0.027* 0.031*** -0.053** 0.025 0.026***

(p-value) 0.000 0.071 0.005 0.014 0.108 0.010

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Panel B: Matching over time for a constant sample

Full sample Top 200 sample

Year Countries Matching b1 b3 Matching b1 b3

1991 13 0.900 0.084 0.015 0.955 0.037 0.013

1992 13 0.888 0.103 0.006 0.954 0.064 -0.015

1993 13 0.894 0.079 0.026 0.943 0.060 0.004

1994 13 0.847 0.133 0.012 0.878 0.102 0.024

1995 13 0.875 0.072 0.045 0.965 0.031 0.010

1996 13 0.929 0.040 0.021 0.998 0.020 -0.016

1997 13 0.837 0.150 -0.003 0.899 0.106 -0.006

1998 13 0.839 0.134 0.008 0.965 0.041 -0.002

1999 13 0.802 0.117 0.058 0.959 0.047 0.000

2000 13 0.811 0.142 -0.010 0.943 0.083 -0.032

2001 13 0.670 0.183 0.086 0.734 0.170 0.097

2002 13 0.687 0.181 0.070 0.800 0.107 0.108

2003 13 0.703 0.134 0.080 0.897 0.105 0.003

2004 13 0.670 0.192 0.062 0.833 0.143 0.028

2005 13 0.738 0.092 0.089 0.928 0.037 0.029

2006 13 0.797 0.080 0.047 0.948 0.045 0.010

2007 13 0.745 0.150 0.022 0.947 0.067 -0.013

2008 13 0.676 0.197 0.035 0.863 0.116 0.019

2009 13 0.666 0.178 0.057 0.880 0.085 0.033

2010 13 0.557 0.185 0.180 0.880 0.109 0.029

1991-2000 0.862 0.105 0.018 0.946 0.059 -0.002

2001-2010 0.691 0.157 0.073 0.871 0.098 0.034

Difference -0.171*** 0.052*** 0.055*** -0.075*** 0.039*** 0.036***

(p-value) 0.000 0.009 0.003 0.008 0.026 0.018

Panel C: Matching in two subsample periods for a constant sample

Full sample Top 200 sample

Countries 1990s

(A)

2000s

(B) A - B

1990s

(A)

2000s

(B) A - B

Australia 0.624 0.477 0.147** 0.725 0.862 -0.138

Canada 0.497 0.275 0.223*** 0.940 0.865 0.075

Denmark 0.982 0.720 0.262** 0.982 0.720 0.262**

France 0.964 0.827 0.137*** 0.971 0.941 0.030

Germany 0.971 0.864 0.107*** 0.979 0.985 -0.005

Japan 0.940 0.870 0.069** 0.983 0.944 0.038

Malaysia 0.853 0.850 0.003 0.919 0.898 0.022

Netherlands 0.989 0.720 0.269** 0.989 0.720 0.269**

Singapore 0.975 0.846 0.129*** 0.982 0.962 0.019

Sweden 0.960 0.725 0.235** 0.956 0.896 0.060

Switzerland 0.991 0.827 0.163 0.991 0.827 0.163

UK 0.820 0.666 0.154** 0.863 0.919 -0.055

USA 0.643 0.315 0.328*** 1.016 0.784 0.232***

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Table 3

Determinants of Matching: Accounting Standards

This table reports the effect of accounting standards on matching. All variables are defined in Appendix A.

Figures in parentheses are robust t-statistics based on standard errors adjusted for clustering effect at country

level. ***, ** and * indicate the coefficient is significant at the 1%, 5% and 10% level, respectively.

Panel A: Full sample

Variables (1) (2) (3)

Constant 1.323*** 1.040*** 0.778***

(10.41) (12.62) (15.25)

Accrual Index -0.672***

(-3.12)

Total Accruals -2.240**

(-2.49)

IFRS 0.016

(0.27)

Post 0.027

(1.50)

IFRS * Post -0.022

(-0.75)

Year Fixed Effect Yes Yes No

Obs 370 618 370

Adj. R2 0.273 0.081 0.002

Panel B: Top 200 sample

Variables (1) (2) (3)

Constant 1.084*** 1.107*** 0.865***

(17.61) (22.00) (33.23)

Accrual Index -0.200**

(-2.35)

Total Accruals -1.610***

(-3.19)

IFRS -0.014

(-0.37)

Post 0.058***

(2.75)

IFRS * Post -0.014

(-0.47)

Year Fixed Effect Yes Yes No

Obs 370 618 370

Adj. R2 0.137 0.102 0.020

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Table 4

Determinants of Matching: Economic Characteristics

This table reports the effect of economic factors on matching. All variables are defined in Appendix A. Figures

in parentheses are robust t-statistics based on standard errors adjusted for clustering effect at country level. ***,

** and * indicate the coefficient is significant at the 1%, 5% and 10% level, respectively.

Panel A: Full sample

Variables (1) (2) (3) (4) (5)

Constant 1.021*** 0.877*** 1.044*** 1.157*** 0.916***

(33.66) (16.03) (20.45) (12.43) (8.16)

Special Items -0.791*** -0.656***

(-3.83) (-3.30)

GDP Growth 0.010** -0.001

(2.66) (-0.11)

Royalty -0.026** -0.015

(-2.15) (-1.39)

Service -0.004** 0.001

(-2.35) (0.30)

Year Fixed Effect Yes Yes Yes Yes No

Obs 633 622 520 580 483

Adj. R2 0.173 0.066 0.121 0.088 0.194

Panel B: Top 200 sample

Variables (1) (2) (3) (4) (5)

Constant 1.011*** 0.943*** 0.994*** 0.984*** 0.820***

(33.34) (33.07) (22.46) (13.05) (13.43)

Special Items -0.319*** -0.362***

(-3.11) (-2.83)

GDP Growth 0.008*** 0.009***

(2.91) (3.26)

Royalty 0.002 0.008

(0.036) (1.22)

Service -0.000 0.002

(-0.43) (1.59)

Year Fixed Effect Yes Yes Yes Yes Yes

Obs 633 622 520 580 483

Adj. R2 0.102 0.089 0.080 0.077 0.139

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Table 5

Determinants of Matching: Investor Protection

This table reports the effect of governance factors on matching. All variables are defined in Appendix A.

Figures in parentheses are robust t-statistics based on standard errors adjusted for clustering effect at country

level. ***, ** and * indicate the coefficient is significant at the 1%, 5% and 10% level, respectively.

Panel A: Full sample

Variables Dependent variable: Matching Dependent variable: b1

(1) (2) (3) (1) (2) (3)

Constant 0.967*** 0.994*** 1.081*** 0.052** 0.026 0.008

(31.68) (26.22) (21.48) (2.64) (1.06) (0.27)

Common Law -0.145** 0.070***

(-2.52) (2.80)

Anti-Self dealing -0.166** 0.102***

(-2.32) (2.70)

Anti-Director -0.051** 0.024***

(-2.68) (3.16)

Year Fixed Effect Yes Yes Yes Yes Yes Yes

Obs 635 635 597 635 635 597

Adj. R2 0.140 0.079 0.137 0.101 0.078 0.096

Panel B: Top 200 sample

Variables Dependent variable: Matching Dependent variable: b1

(1) (2) (3) (1) (2) (3)

Constant 0.968*** 0.969*** 0.995*** 0.021 0.010 0.019

(29.65) (24.41) (27.95) (1.18) (0.41) (0.70)

Common Law -0.028 0.035*

(-1.23) (1.95)

Anti-Self dealing -0.025 0.048

(-0.55) (1.35)

Anti-Director -0.009 0.011**

(-1.33) (2.15)

Year Fixed Effect Yes Yes Yes Yes Yes Yes

Obs 635 635 597 635 635 597

Adj. R2 0.074 0.070 0.076 0.075 0.067 0.072

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Table 6

Time Trend in Matching

This table reports the effect of time trend, accounting, economic and governance factors on matching. All

variables are defined in Appendix A. Figures in parentheses are robust t-statistics based on standard errors

adjusted for clustering by country. ***, ** and * indicate the coefficient is significant at the 1%, 5% and 10%

level, respectively.

Panel A: Full sample

All countries Countries with 20 observations

Variables (1) (2) (3) (4)

Constant 0.879*** 1.261*** 0.933*** 1.185***

(24.95) (6.73) (20.65) (3.99)

Time trend -0.005** -0.001 -0.015*** -0.008*

(-2.51) (-0.43) (-6.98) (-1.98)

Total Accruals -1.762 1.110**

(-1.50) (-2.31)

Special Items -0.509** -1.044***

(-2.54) (-4.30)

GDP Growth -0.006 -0.013

(-1.21) (-1.50)

Royalty -0.010 -0.017

(-0.92) (-0.73)

Service -0.001 0.005

(-0.43) (0.98)

Obs 635 470 260 185

Adj. R2 0.014 0.141 0.113 0.368

Panel B: Top 200 sample

All countries Countries with 20 observations

Variables (1) (2) (3) (4)

Constant 0.920*** 0.744*** 0.950*** 0.064***

(35.68) (5.83) (26.26) (3.95)

Time trend -0.001 0.000 -0.004 -0.002

(-0.68) (0.08) (-1.25) (-0.66)

Total Accruals -1.649** -2.087**

(-2.02) (-2.32)

Special Items -0.218* -0.296**

-1.69 (-2.09)

GDP Growth 0.002 0.001

(0.48) (0.22)

Royalty 0.012* 0.020*

(1.79) (1.91)

Service 0.000 -0.001

(0.28) (-0.05)

Obs 635 470 260 185

Adj. R2 0.001 0.076 0.017 0.133

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Figure 1

Matching Over Time