REVISTA DE ECONOMÍA MUNDIAL 68, 2024, 141-166
ISSN: 1576-0162
DOI: http://dx.doi.org/10.33776/rem.v0i68.7996
DETERMINANTS OF THE PROFITABILITY OF SAVINGS BANKS IN THE
US AND THE MODERATING EFFECT OF THE PANDEMIC CRISIS
DETERMINANTES DE LA RENTABILIDAD DE LAS CAJAS DE AHORRO EN
ESTADOS UNIDOS Y EL EFECTO MODERADOR DE LA CRISIS PANDÉMICA
Marco Amaral
mamaral@ipca.pt
Polytechnic Institute of Cávado and Ave
Recibido: octubre 2023; aceptado: julio 2024
ABSTRACT
The pandemic crisis that began in 2020 and lasted until 2021 has raised
concerns about the impact on banking profitability. As a result, the global
banking system suffered a drop in the profitability of its banking business as
part of the crisis. Taking into account the problem of profitability in the banking
sector, some studies have been increasingly highlighted both in academia and
in the financial market. Therefore, this study aims to analyze the determinants
of bank profitability for banks operating in the savings segment in the United
States, for the periods between 2012 and 2022. To this end, four factors
explaining profitability (default rate, liquidity, solvency and productivity) were
analyzed for 57 banks. In addition, we wanted to assess the moderating effect
that the pandemic crisis had on the banking sector. To obtain the results, a
panel data analysis model was used, combining cross-section data (banks)
and time-series data (years), and a strongly balanced panel was obtained.
Four multiple linear regression models were then used, and it was possible to
identify liquidity and solvency as the main positive factors in bank profitability.
In contrast, the factors of default rate and productivity have a negative influence
on bank profitability. The results also show that banks with high default rates
had greater difficulties during the period of the pandemic crisis, that is, the
crisis negatively moderated the effect of default on profitability.
Keywords: Profitability, pandemic crisis, banks, US, panel data.
RESUMEN
La crisis pandémica que comenzó en 2020 y duró hasta 2021 ha suscitado
preocupación por su impacto en la rentabilidad bancaria. Como consecuencia,
el sistema bancario mundial sufrió una caída de la rentabilidad de su negocio
bancario en el marco de la crisis. En vista del problema de la rentabilidad en
el sector bancario, se ha hecho cada vez más hincapié en algunos estudios
tanto en el mundo académico como en el mercado financiero. Por lo tanto,
este estudio tiene como objetivo analizar los determinantes de la rentabilidad
bancaria para los bancos que operan en el segmento de ahorro en los Estados
Unidos de América, para los períodos comprendidos entre 2012 y 2022.
Para ello, se han analizado cuatro factores explicativos de la rentabilidad
(tasa de morosidad, liquidez, solvencia y productividad) para 57 bancos.
Además, se trató de evaluar el efecto moderador que tuvo la crisis pandémica
en el sector bancario. Para obtener los resultados, se utilizó un modelo
de análisis de datos de panel que combina datos de sección transversal
(bancos) y datos de serie temporal (años), obteniendo un panel fuertemente
equilibrado. A continuación, se utilizaron cuatro modelos de regresión lineal
múltiple y fue posible identificar la liquidez y la solvencia como los principales
factores positivos de la rentabilidad bancaria. Por el contrario, los factores
de morosidad y productividad influyen negativamente en la rentabilidad
bancaria. Los resultados también muestran que los bancos con altas tasas
de morosidad tuvieron mayores dificultades durante el periodo de la crisis
pandémica, es decir, la crisis moderó negativamente el efecto de la morosidad
en la rentabilidad.
Palabras clave: Rentabilidad; crisis pandémica; bancos; datos de panel.
JEL Classification/ Clasificación JEL: G01, G21, G28.
REVISTA DE ECONOMÍA MUNDIAL 68, 2024, 141-166
1. INTRODUCTION
Given the recent adverse economic contexts (financial crisis and pandemic
crisis) in which banks operate, it is becoming increasingly urgent to understand
the factors that may determine their profitability and the explanatory variables
that may influence banking performance. Recently, a large number of studies
on this subject (Messai et al., 2015; Duraj and Moci, 2015, Titko et al.,
2015; Elisa and Guido, 2016; Alshatti, 2016; Le and Ngo, 2020), among
others, have shown a set of dominant factors that drive profitability in the
banking sector. For the authors Wahdan and Leithy (2017), the factors that
affect bank profitability can come from external or internal sources. In the
same line of research, Serwadda (2018) states that external factors include
the government’s macroeconomic policies, central bank interest rates, climate
change and the current COVID-19 pandemic. In turn, internal factors include
interest income, overdue credit, capital adequacy, asset size and others (Islam
et al., 2017). Thus, the study of the determinants of bank profitability proves
to be fruitful and timely.
The purpose of this paper is to analyze the determinants of the profitability
of savings banks in the US and to assess the moderating effect that the
pandemic crisis has had on this sector. To achieve this goal, 57 savings banks in
the US banking system were analyzed for the period 2012 to 2022. In order to
analyze the profitability of US savings banks, two bank profitability indicators
were used and related to a set of management indicators, separated into four
categories, namely: level of default, liquidity, solvency and productivity. These
indicators make it possible to work with a significant number of variables such
as costs, revenues, loans, deposits, assets, capital, employees, among others,
and relate them to their respective profitability indicators, measured by RoA
(Return on Assets) and RoE (Return on Equity). In addition, in order to measure
the functional relationships between the variables in the study, control variables
such as interest rates, the consumer price index, the political organization
system, and size were considered. Specifically, we strive to answer a set of
questions that allow us to validate the level of profitability of savings banks
in the US banking system and identify the divergences between profitability
and the internal and external characteristics of banks, such as: default rate,
liquidity, solvency, productivity, inflation, central bank reference rate, type of
government, and size. In addition, for the sample period considered, we looked
at whether the pandemic played a moderating role in these effects. In this
144 Marco Amaral
sense, in addition to focusing on the relationship between internal and external
factors and the profitability of the banking sector, the debate in this research
also aims to assess the moderating effect of the pandemic crisis. Thus, it is
hoped that this study will make a strong contribution to research in this thematic
area, essentially in the analysis of the profitability of US banking institutions,
thus making it possible to portray the reality of US banking specializing in the
savings segment, as well as contributing to the teachings of bank profitability
focused on its internal and external determinants.
The final document of this work is structured as follows: in addition to
the first introductory section, a second section on the literature review is
presented, highlighting the evidence of similar studies and the formulation
of the hypotheses to be tested. This section describes the sample, data
collection, study variables, specification of the econometric model and
statistical methods, the results obtained and their discussion. Finally, the
fourth point, the conclusion of the study, is presented, which reflects on the
main conclusions of this research, as well as the main limitations of the study.
2. RELEVANT LITERATURE AND DEVELOPMENT OF HYPOTHESES
This section presents the literature review of this study in order to ensure and
substantiate the purposes of the work carried out, as well as the development
of the hypotheses to be tested, through the hypotheses formulated for this
purpose.
2.1. LITERATURE REVIEW
There are a number of studies that relate measures of bank financial
profitability, particularly with regard to the factors that determine the
profitability of credit institutions.
Analyzing the literature for the banking market on bank profitability, the
works carried out by authors such as Athanasoglou et al. (2008), Sanchez et
al. (2017) and Bikker and Vervliet (2018), use the Return on Assets (RoA) and
Return on Equity (RoE) indices as the main indicators to measure results and
assess their evaluations. Therefore, to ensure the purposes of this study, a set
of data in different environments from various authors was analyzed. In this
way, it was possible to distinguish some studies insofar as the results obtained
are different, but which, despite presenting mixed associated relationships,
have in common combinations of internal and external determinants to explain
bank profitability.
In Europe, Athanasoglou et al. (2008) analyzed the profitability of Greek
commercial banks, measured by RoA and RoE, from 1985 to 2001, in the
light of the recent economic recession. These authors carried out the most
popular decomposition of the determinants of bank profitability, adopting
three categories of factors that explain bank profitability. First, through bank-
specific factors, using variables such as size, capital, credit risk, loans, revenue
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REVISTA DE ECONOMÍA MUNDIAL 68, 2024, 141-166
diversification, type of bank and efficiency, they found a significant positive
effect for the capital variable and a significant negative effect for the credit
risk variable, while the results for bank size were insignificant. In a second
category of determinants of bank profitability, they adopted industry/sector-
specific factors such as ownership and bank concentration and concluded
that there is no clear relationship between sector concentration and bank
profitability. Finally, in the third category of determinants, they looked at the
macroeconomic environment (external factors) with a special focus on the
variable of economic growth measured by Gross Domestic Product (GDP), with
the authors concluding that strong economic growth combined with higher
interest rates is likely to increase bank profitability.
In a cross-sectional analysis of 154 financial entities from 22 countries for
the period 2005-2010, the study by Sanchez et al. (2017) aims to understand
the impact of corporate social performance on the financial performance
of the banking sector. In this sense, the authors’ study consists of verifying
which dimensions of corporate social performance (corporate governance,
employee relations, community relations and product responsibility) had the
greatest impact on banks’ financial profitability (measured by RoA and RoE),
as well as whether the 2008 financial crisis played a moderating role in these
effects. The authors also used control variables such as bank size and leverage
to avoid biased results. In order to assess the impact of social performance
on financial profitability, the authors used dynamic panel data through the
multiple linear regression equation for the fixed effects model. The results
showed that banks with better employee relations and corporate governance
had better profitability. However, the financial crisis negatively moderated the
effect of corporate governance, suggesting flaws in its mechanisms. Product
liability, contrary to the authors’ expectations, did not positively influence bank
profitability. Finally, the authors analyzed the moderating effect of the financial
crisis and concluded that the crisis has an interaction effect on the relationship
between social performance and banks’ financial profitability. This effect flows
mainly through the variables of corporate governance and community.
On the other side of the continent, namely in the US banking system,
the study by the authors Bikker and Vervliet (2018), for the years 2001 to
2015, made it possible to consider an analysis of the period before and after
the financial crisis. The work carried out by the authors aims to explore the
relationship between bank profitability and the economic environment of low
interest rates. The sample includes a set of panel data for 3,582 commercial
and savings banks, using profitability measures such as RoA, RoE, net interest
margin and profit. As determinants, the authors selected a set of bank-specific
variables (size, loans, capital, credit risk and revenue diversification) and
macroeconomic variables (GDP, inflation and interest rates). From the results
obtained, the authors concluded that variables such as capital, loans and size
have a significant positive effect on bank profitability, in contrast, the credit
risk variable has a negative effect and the macroeconomic variables GDP and
inflation were considered insignificant in explaining bank profitability. Finally,
146 Marco Amaral
the authors confirm that, in part, the low interest rate environment harms bank
profitability and crushes net interest income.
Table 1 shows, by author, a number of other studies on the subject of bank
profitability.
TABLE 1. STUDIES ON BANK PROFITABILITY, BY AUTHOR
Authors
(Year)
Period
(Sample) Profitability Metrics Determinants Conclusion
Bourke
(1989)
1972-1981
(Banks from
12 countries)
RoA
Liquidity
Capital
Leverage
Ownership
Concentration
- The results show that banking
concentration has a positive
effect on profitability. On the
other hand, capital and liquidity
show a negative relationship.
Demirguc-Kunt and
Huizinga
(1999)
1988-1995
(Banks in 80
countries)
Net Interest Margin
Dimension
Revenue
Capital
Liquidity
Credit Risk
GDP
Inflation
Interest Rates
- The authors note that deter-
minants such as capital, GDP
and inflation show a positive
and statistically significant
association. In contrast, the
liquidity variable shows a
negative relationship with bank
profitability.
Tregenna (2009) 1994-2005
(EUA)
RoA
RoE
Concentration
Market Share
Size
Efficiency
- The study shows that banking
concentration increases profit-
ability, even when the largest
banks are excluded.
Fronk
(2016)
1985-2015
(EUA) RoA
GDP
Unemployment Rate
Interest RateSpread
- Macroeconomic factors are
responsible for profitability be-
ing so low during and after the
financial crisis.
Paroush and
Schreiber (2019)
1995-2015
(EUA) RoA Capital
Risk
The authors found that capital
is positively related to profit-
ability, while risk is negatively
related.
Mendoza et al.
(2020)
1994-2011
(Banks from
134 coun-
tries)
RoA
Net Interest Margin
Concentration
Diversification
Risk
Liquidity
Capital
Loans
Efficiency
GDP
Inflation
- Determinants such as
banking concentration, GDP,
diversification of services and
products show a positive and
significant relationship with
bank profitability. On the other
hand, inflation shows a negative
relationship with profitability.
Veeramoothoo and
Hammoudeh
(2022)
2010-2017
(EUA)
RoA
RoE
Financing
Liquidity
Size
Capital
Risk
GDP
- The authors found that small
banks are more vulnerable to
short-term liquidity risks and
large banks are more suscep-
tible to medium and long-term
liquidity risks.
Wang
(2023)
2008-2016
(Japan and
EUA)
RoA
Risk
Liquidity
Efficiency
Capital
Size
GDP
- The author’s study shows that
holdings of risky securities in
Japan have a positive effect,
while in the US it has a negative
effect on the profitability of
large banks.
Source: Author´s own creation.
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The following subsections present the determinants that can influence
bank profitability, and which therefore relate to bank profitability. Thus, in light
of the literature, the following five hypotheses were developed, separated by
four specific categories for the sector of activity (default, liquidity, solvency
and productivity) and by a category designed to measure the effect of the
pandemic crisis on bank profitability, as shown in Table 2.
TABLE 2. SUMMARY OF THE STUDY HYPOTHESES
Factor Argument Hypotheses
Default Default rate on the portfolio of loans
granted to customers
H1: The sluggishness of banks, as measured by the
default rate on the loan portfolio, negatively affects
banks profitability
Liquidity Transforming customer funds into
customer loans
H2: Bank liquidity has a positive (negative) effect on
banks profitability
Solvency Capital adequacy H3: Bank solvency has a positive (negative) effect on
bank profitability
Productivity Employee production H4: Bank productivity has a positive effect on bank
profitability
Pandemic Moderating effect of the pandemic
crisis - COVID19
H5: The moderating effect of the pandemic crisis has a
significant influence on the relationship between the four
factors and bank profitability
Source: Author´s own creation.
2.2. DEFAULT
The default variable is intended to reflect the sluggishness of a bank’s
customer loan portfolio. In order to analyze the default rate of the loan portfolio,
this study used the effect of impairments and loan provisions on the customer
loan portfolio, thus making it possible to verify the weight of impairments
recorded in each financial year in the loan portfolio, i.e. in total loans. There is
a general consensus among the authors, Demirguc-Kunt and Huizinga (1999),
DeYoung and Rice (2004), Athanasoglou et al. (2008), Kosmidou (2008), Liang
et al. (2013), Barata (2014), Carvalho and Ribeiro (2016), Sun et al. (2017),
Bikker and Vervliet (2018), Mota et al. (2019), Paroush and Schreiber (2019)
and Wang (2023), that a bank’s profitability is directly related to the quality
of its loan assets. Thus, a lower quality of the loan portfolio negatively affects
bank profitability with the amount of provisioning for expected credit losses. It
should also be noted that these authors concluded that this variable is one of
those which most influences bank profitability. Thus, on the assumption that a
high default rate decreases bank profitability, the following hypothesis is tested:
H1: The sluggishness of banks, as measured by the default rate on the loan
portfolio, negatively affects banks profitability
2.3. LIQUIDITY
Since liquidity is related to a banking institution’s ability to honor its
commitments in relation to depositors’ capital, the level of liquidity of each
148 Marco Amaral
banking institution can be expected to have an impact on banks’ profitability.
The recent Basel III regulatory changes (BCBS, 2013; 2014), introduced two
minimum financial liquidity standards such as the liquidity coverage ratio
(LCR) and the net stable funding ratio (NSFR) which, despite being the best
options for measuring bank liquidity, were not used in this study as not all the
financial data was available for the period under analysis. Therefore, the ratio
of transformation of customer funds into loans granted was adopted for this
category of explanatory variable. This variable makes it possible to measure
how much customer capital (bank deposits) is used in loans granted to
customers of those same banks. This indicator is widely used by regulators to
measure banks’ liquidity. The higher this indicator, the greater the possibility of
a bank generating income, and therefore becoming more profitable, i.e. banks
with high value for this indicator will be those with a higher degree of leverage,
by converting deposits into loans, thus being appropriate to refer to as factors
of greater bank profitability. The studies carried out by various authors on
this variable are very ambiguous. In fact, while some studies have concluded
a positive relationship between bank profitability and liquidity (Molyneux and
Thornton, 1992; Barth et al., 2013; Trujillo-Ponce, 2013), other studies have
concluded a negative relationship (Bourke, 1989; Demirguc-Kunt and Huizinga,
1999; Hamdi and Hakimi, 2019). Thus, given the mixed character with
different types of positive and negative association, the following hypothesis
was developed to be tested:
H2: Bank liquidity has a positive (negative) effect on banks’ profitability.
2.4. SOLVENCY
With regard to the solvency of banks, this study highlights the importance
of capital ratios, specifically the Tier 1 solvency ratio, which reflects, in
accordance with Basel III guidelines, a bank’s obligation to maintain certain
amounts of capital, known as core capital, to cope with unexpected losses. This
ratio is measured by the relationship between Tier 1 capital and the bank’s
risk-weighted assets (RWA). However, given the difficulty in obtaining the data
provided by the banks in the sample, the financial data obtained from the
balance sheet resulting from the ratio between equity and total net assets
(solvency understood in accounting terms) was used as an indicator. The higher
this ratio the better, demonstrating, on the one hand, a greater capacity for
banks to cover losses on their assets and, on the other hand, less need to raise
external funds, and therefore greater bank profitability. However, some studies
do not agree on the relationship between solvency and bank profitability.
Bourke (1989), Hoffmann (2011) and Carvalho and Ribeiro (2016) concluded
a negative relationship, but the authors’ studies (Demirguc-Kunt and Huizinga,
1999; Athanasoglou et al., 2008; Kosmidou, 2008; Trujillo-Ponce, 2013; Bikker
and Vervliet, 2018 and Paroush and Schreiber, 2019) point in the opposite
direction, confirming the existence of a positive association. Given that there
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is no agreement on the relationship between the solvency and profitability of
banks, it was pertinent to formulate the following hypothesis to test:
H3: Bank solvency has a positive (negative) effect on bank profitability.
2.5. PRODUCTIVITY
The level of profitability obtained by a banking institution can be influenced
by its productivity. The productivity variable in this study is translated by the
management indicator called productivity of complementary activity per
employee. In general, this indicator is intended to reflect the relationship
between the net commissions generated by each employee of a bank, making
it possible to establish a comparative evaluation measure of the banking
sector. Authors such as Gambacorta and Ibanez (2011) and Trenca et al.
(2015), consider that the fact that an employee generates a high performance
in banking activity will reflect in higher bank profitability. This leads to the
following hypothesis to be tested:
H4: Bank productivity has a positive effect on bank profitability.
2.6. MODERATING EFFECT OF THE PANDEMIC CRISIS
The aim of this variable is to analyze how the moderating effect of the
pandemic crisis has influenced banks’ default, liquidity, solvency and
productivity and what effect it may have had on their profitability. To this
end, a dummy variable was used for the periods without a pandemic crisis (0
corresponds to the periods from 2012 to 2019 and 2022) and for the periods
with a pandemic crisis (1 corresponds to the periods from 2020 and 2021).
Studies such as Wu and Shen (2013) and Sanchez et al. (2017) analyzed the
effects before and after the financial crisis and found mixed effects (positive
and negative) between the explanatory variables and bank profitability. In this
sense, the following research hypothesis is proposed:
H5: The moderating effect of the pandemic crisis has a significant influence on
the relationship between the four factors and bank profitability.
3. METHODOLOGY
This section presents the analysis and description of the data, as well as
the sample considered, followed by the variables included in the model and
the treatment of the main statistical data, and concludes with the specification
of the econometric model.
3.1. SAMPLE AND DATA DESCRIPTION
The sample consists of a portfolio of 57 financial entities operating in the
US banking system in the specialized savings segment (see Appendix I), for
the period from 2012 to 2022, totaling 627 observations. The total volume of
assets and bank deposits of the entities considered in the sample amounts to
150 Marco Amaral
921 billion USD in 2022 (representing 71.9% of total assets, which amount to
1,281 billion USD) and 803 billion USD (representing 74.2% of total deposits,
which amount to 1,082 billion USD), respectively.
The data was collected using the database provided by BankFocus and
Bureau van Dijk, as well as statistical data published by the Federal Deposit
Insurance Corporation (FDIC). Macroeconomic data for the years in the sample
was obtained from the CountryEconomy database of Alldatanow, S.L.
In order to demonstrate the evolution and size of the US banking system
for the savings bank segment, a characterization of the system is given in
Table 3.
TABLE 3. CHARACTERIZATION OF THE SAMPLE: EVOLUTION OF SAVINGS BANKS IN THE US
Description Measure 2012 2019 2020 2021 2022
No. of Institutions Unit 1,011 659 627 607 579
No. of employees Unit 148,918 121,746 122,265 119,610 108,648
Total Assets 1,063 1,154 1,378 1,519 1,281
Of which:
Earning Assets:
- Total Loans
- Other (*)
Non-remunerated Assets
Billion USD
983
652
331
80
1,096
655
441
58
1,316
660
656
62
1,458
681
777
61
1,215
641
574
66
Total Deposits
% of Assets
Billion USD
%
805
75.7
921
79.8
1,139
82.6
1,287
84.7
1,082
84.5
Deposits-to-Loans
(Transformation Ratio) % 81.0 71.1 57.6 52.9 59.2
Equity Capital
% of Assets
Billion USD
%
127
11.9
125
10.8
134
9.7
147
9.7
93
7.3
Net Interest Margin
Of which:
Yield on Earnings Assets
Cost of Funding Earning Assets
%
3.46
4.38
0.92
3.87
4.83
0.96
3.09
3.65
0.56
2.78
3.06
0.28
3.28
3.73
0.45
Income
Of which:
Interest Income
Non-interest Income
Billion USD
54
33
21
54
41
13
52
37
15
53
38
15
51
41
10
Provisions for Credit Losses Billion USD 5 5 8 0,3 4
Net Income Billion USD 11 15 11 16 13
(*) Other Earnings Assets: Securities, Derivatives, Depository Institutions and other financial
instruments.
Source: Author´s own creation based on publications of FDIC statistical data.
Table 3 shows that in 2022 the FDIC supervised 579 savings banks with
108,648 employees and total assets and deposits of 1,281 billion US dollars
and 1,082 billion US dollars, respectively. Although during the sample period
total assets grew by more than 20% (from 1,063 in 2012 to 1,281 in 2022)
and total deposits by more than 30% (from 805 in 2012 to 1,082 in 2022),
the same was not true of the number of institutions and employees, with a
sharp reduction of 432 savings institutions (-42.7%) and 40,270 employees
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(-27.0%). In turn, the net interest margin rate, which corresponds to the
ratio between net interest income and the average balance of total interest-
generating assets, has remained stable throughout the analysis period (above
3%), with the exception of the year 2021, when there was a rate of 2.78%,
justified by a lower effect of household consumption in the period of the
pandemic crisis and greater reinforcement in terms of savings. It should also
be noted that there has been a change in the evolution of earning assets,
which grew by 23.6% (from 983 in 2012 to 1,215 in 2022). It should be
noted that customer loans remain stable in their composition, while there
has been a sharp increase in other earning assets such as debt securities
and other instruments, which grew from 331 billion US dollars in 2012 to
574 billion US dollars in 2022 (an increase of 73.4%), having reached the
highest amount in 2021 of 777 billion US dollars, an amount that for the
first time was higher than loans to customers, which amounted to 681 billion
US dollars. It can be concluded that, given the change in the type of earning
assets, income has remained stable (above 50 billion dollars), although other
income (such as commissions and others) has fallen substantially (-52.4%)
since 2012 (21 billion dollars) and will only reach 10 billion dollars in 2022.
However, despite the fact that income fell slightly in the period under review
(in 2012, 54 billion dollars, against 51 billion dollars in 2022), there was
a slight improvement in net income (in 2012, 11 billion dollars, against 13
billion dollars in 2022) as a result of tight and strong management in cost
containment, namely with a sharp reduction in physical branches and human
resources. Lastly, the level of provisioning for credit losses for the year 2021
was significantly reduced (0.3 billion dollars) as 82 financial institutions
adopted the new methodologies for accounting for current expected credit
losses (CECL), as published in the FDIC’s quarterly information report (FDIC,
2022).
3.2. STUDY VARIABLES
The dependent variable of bank profitability is measured in this study by
two alternative indicators of bank performance, RoA and RoE, according to
the authors’ studies (Athanasoglou et al., 2008; Tregenna, 2009; Sanchez et
al., 2017; Bikker and Vervliet, 2018 and Veeramoothoo and Hammoudeh,
2022). From the literature reviewed in this paper, it was felt that these are
the indicators most commonly adopted by authors who have addressed this
issue. They are also indicators widely used by regulators and banks to assess
a bank’s performance. While return on equity (RoE) measures the relationship
between net income and equity, allowing us to assess the performance of the
resources placed by investors in the bank, return on assets (RoA) measures the
relationship between net income and assets. This ratio assesses the profitability
generated by the assets financed by the bank.
The recent evolution of these two indicators in the US banking system, for
the savings bank segment supervised by the FDIC, was as follows (see Graph 1).
152 Marco Amaral
GRAPH 1 – EVOLUTION OF THE DEPENDENT VARIABLES IN THE US BANKING SYSTEM
Source: Obtained using STATA software.
Over the last 11 years, the North American banking sector in the savings
bank segment has shown a trend towards improved bank profitability, both in
terms of RoE (more pronounced) and RoA (more stable). However, it can be
seen that the number of financial institutions (numbmean) over this period has
decreased significantly, as opposed to the volume of assets (atmean) which
has increased.
The independent variables used in this study are reflected in the hypotheses
previously formulated and are indicators and ratios related to the activity of the
banking sector and represent a set of variables that identify five hypotheses to
be tested. Thus, the variables included in the model, as well as how they are
determined and the source of the data, are as follows (see Table 4).
TABLE 4. VARIABLES INCLUDED IN THE MODEL
Variables Notation Form of Determination Source
Dependent:
Return on Assets RoA RoA ratio (Return on Assets) =
Net Profit / Net Assets BankFocus
Return on Equity RoE RoE ratio (Return on Equity) =
Net Profit / Shareholders’ Equity BankFocus
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REVISTA DE ECONOMÍA MUNDIAL 68, 2024, 141-166
Independent:
Default DEF
Customer Loan and Advances Default Rate =
Loan Impairment (year) / Net Loans and Advances
to Customers
BankFocus
Liquidity LIQ Transformation Ratio =
Net Customer Loans / Customer Deposits BankFocus
Solvency SOL Solvency Ratio (in accounting terms) =
Equity / Net Assets BankFocus
Productivity PRO Degree of Production of Complementary Activity =
Net Commissions / No. of Employees BankFocus
Moderation:
Pandemic Crisis CRI
Dummy variable (binary) where:
0 - Without Pandemic Crisis (periods from 2012 to
2019 and 2022);
1 - With Pandemic Crisis (2020 and 2021)
Author
Control:
Macroeconomic:
Inflation INF
Consumer Price Index
(%)
Country Eco-
nomy
Central Bank
Reference Rate CBR US Central Bank Interest Rate
(%)
Country Eco-
nomy
Type of Govern-
ment TGO
Dummy variable (binary) where:
0 - Democratic Government;
1 - Republican Government
Author
Banks:
Dimension DIM Logarithm (natural) =
of Net Asset Value BankFocus
Source: Author´s own creation.
3.3. ECONOMETRIC MODEL AND STATISTICAL METHODS
The studies that evaluate the factors that determine the profitability of
banking institutions, such as Trujillo-Ponce (2013), Serrano and Pavia (2014),
Carvalho and Ribeiro (2016), Bikker and Vervliet (2018), Hamdi and Hakimi
(2019), Mota et al. (2019), Paroush and Schreiber (2019), Mendoza et al.
(2020), Otero et al. (2021), Veeramoothoo and Hammoudeh (2022) and
Wang (2023) basically use linear regression models, which make it possible
to describe and assess which independent variables have explanatory power
over the dependent variables. Thus, the proposed model, including the control
variables for the study of the determinants of profitability and their moderating
effects of the pandemic crisis on bank performance can be illustrated in the
following Figure 1.
The data in this study includes the descriptive statistics of the study
variables, as well as Pearson’s correlation analysis between the variables for
the period analyzed between 2012 and 2022 (11 years), as shown in Table 5.
TABLE 5. DESCRIPTIVE STATISTICS AND CORRELATION ANALYSIS
RoA RoE DEF LIQ SOL PRO INF CBR DIM TGO
(a)
CRI
(a)
Mean 1.08 9.20 0.19 85.40 12.60 19.35 2.55 0.98 15.37 - -
S. D. 1.09 6.18 0.49 23.59 9.45 32.13 2.04 1.24 1.18 - -
Min. -9.68 -12.41 -1.50 2.52 2.39 -57.68 0.70 0 10.07 - -
Max. 13.03 45.53 4.67 192.6 96.94 306.23 7.00 4.25 18.60 - -
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154 Marco Amaral
No.
Obs. 627 627 620 620 627 616 627 627 627 627 627
RoA 1
RoE 0.73 1
DEF -0.03 -0.03 1
LIQ 0.27 -0.01 -0.05 1
SOL 0.58 -0.04 -0.05 0.37 1
PRO -0.21 -0.10 -0.03 -0.24 -0.17 1
INF 0.10 0.19 -0.12 -0.13 -0.09 0.12 1
CBR 0.02 0.15 -0.05 -0.01 -0.09 0.10 0.46 1
DIM -0.10 0.01 0.10 0.07 -0.17 0.21 0.23 0.16 1
TGO -0.01 -0.03 0.11 0.04 0.02 -0.05 -0.23 0.16 0.10 1
CRI 0.05 0.03 0.09 -0.12 -0.02 0.01 0.38 -0.37 0.17 0.13 1
(a) Dummy variable.
Source: Author´s own creation.
FIGURE 1 – PROPOSED MODEL
Source: Author´s own creation.
It can be seen that bank profitability, measured by RoA and RoE, for the
period under analysis, averaged 1.08% and 9.20%, respectively. On the other
hand, the correlation coefficients are generally not significantly high (below or
above 75%) to cause concern about multicollinearity problems.
In order to answer the five hypotheses mentioned above, the following four
multiple linear regression models were developed, as shown in Table 6.
TABLE 6. LINEAR REGRESSION MODELS
RoAit = β0 + β1FATit + β2CRIit + β3VCit + εit Model 1
RoAit = β0 + β1FATit + β2CRIit + β3CRIit * INTFATit + β4VCit + εit Model 2
RoEit = β0 + β1FATit + β2CRIit + β3VCit + εit Model 3
RoEit = β0 + β1FATit + β2CRIit + β3CRIit * INTFATit + β4VCit + εit Model 4
Where,
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RoAit represents the return on assets ratio of institution i at time t;
RoEit represents the return on equity ratio of institution i at time t;
FATit represents the determining factors of institution i at time t;
In which there are four determining factors:
DEFit represents the default rate on loans to customers of institution i at time t;
LIQit represents the ratio of deposits to loans of institution i at time t;
SOLit represents the solvency ratio of institution i at time t;
PROit represents the production of complementary activity of institution i at time t;
CRIit represents the dummy of pandemic crisis of institution i at time t;
VCit represents the control variables of institution i at time t;
They are composed of four control variables:
INFit represents the inflation rate for institution i at time t;
CBRit represents the central bank reference rate for institution i at time t;
TGOit represents the type of government for institution i at time t;
DIMit represents the logarithm of the size of net assets institution i at time t;
CRISit * INTFATit represents the moderating effect of the interaction between the crisis and the determining fac-
tors of institution i at time t;
In which they are constructed by four crossed variables (see Appendix II):
DEFit*CRIit represents the interaction between default and the crisis of institution i at time t;
LIQit*CRIit represents the interaction between liquidity and the crisis of institution i at time t;
SOLit*CRIit represents the interaction between solvency and the crisis of institution i at time t;
PROit*CRIit represents the interaction between productivity and crisis of institution i at time t;
β0 is the constant term;
εit is the statistical error term of institution i at time t.
Source: Author´s own creation.
3.4. RESULTS AND DISCUSSION
The econometric estimation of the model uses the Panel Data technique
(Stata - Statistics Data Analysis) which combines cross-section data (banks)
and time-series data (years), obtaining a strongly balanced panel.
In order to model the functional relationship between the variables,
multiple linear regression models were used, using a panel data model,
and the Hausman test was applied in order to assess whether this method
best fits the fixed-effects Ordinary Least Square (OLS regression) model or
the random-effects Generalized Least Squares (GLS regression) model. The
analysis showed that the model with the highest quality is the random effects
model. According to Wooldridge (2002), the random effects model is more
efficient in large samples because the random effects estimators have smaller
standard errors.
3.4.1. ESTIMATION OF THE ECONOMETRIC RESULTS
In order to estimate the model, it is necessary to take into account that the
data treatments used in this study are arranged in a longitudinal panel, made
up of a set of different entities (N=57 banks) and over various periods of time
(T=11 years). Therefore, in order to model the functional relationship between
the variables, four multivariate linear regression models were adopted, using
the generalized least squares random effects model, as shown in Table 7.
156 Marco Amaral
TABLE 7. REGRESSION RESULTS
Variable RoA (Return on Assets) RoE (Return on Equity)
RE (Random Effects)
Model 1 Model 2 Model 3 Model 4
DEF -0.0866* -0.0128 -0.7276* -0.3770
LIQ 0.0064*** 0.0063*** 0.0535*** 0.0450***
SOL 0.0620*** 0.0590*** -0.4484*** -0.4536***
PRO -0.0040*** -0.0045*** -0.0321*** -0.0332***
CRI 0.0152 -0.9745*** -0.1735 -9.5107***
INF 0.0616*** 0.0434** 0.3775** 0.3000*
CBR -0.0080 0.0059 0.2116 0.2237
TGO 0.0099 -0.0051 -0.2990 -0.3628
DIM 0.0310 0.0646 0.8993** 1.1974***
DEF * CRI -0.2357*** -1.2861*
LIQ * CRI 0.0052** 0.0701***
SOL * CRI 0.0569*** 0.3558***
PRO * CRI 0.0010 -0.0003
_CONS -0.7226 -1.1663 -4.0365 -7.6483
No. Observations: 609 609 609 609
No. Banks: 57 57 57 57
R-sq.
Within 0.1635 0.2241 0.1837 0.2393
Between 0.3937 0.3696 0.0087 0.0140
Overall 0.3338 0.3435 0.0166 0.0253
Rho 0.5824 0.5896 0.5731 0.5776
Hausman:
chi²1.55 13.70 29.17 39.41
Prob> chi²0.9968 0.3954 0.0600 0.0520
(*) (**) (***) Statistically significant results for a significance level of 0.10, 0.05 and 0.01 respectively.
Source: Author´s own creation.
Table 7 shows the results obtained when estimating the regression model,
which was run four times, based on the profitability of US banks specializing in
the savings segment, measured by the RoA (models 1 and 2) and RoE (models
3 and 4). While models 1 and 3 allow us to assess the relationship between
bank profitability and the explanatory factors, models 2 and 4 allow us to
assess the moderating effects of the pandemic crisis on the influence of the
relationship between the factors and bank profitability. Thus, the results indicate
that there is an acceptable level of explanation of the determining factors for
the RoA indicators with an adjusted R² of 33.38% and 34.35%. Regarding
the RoE indicator, there is a low adjusted R² of 1.66% and 2.53%. As far as
the explanatory variables are concerned, the results obtained show statistical
significance in explaining bank profitability as measured by RoA and RoE for
the four determining factors under study, i.e. the variables of default (DEF),
liquidity (LIQ), solvency (SOL) and productivity (PRO). With regard to the control
variables, inflation (INF) and bank size (DIM) also show statistical significance.
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Finally, it can be seen that the moderating effect of the pandemic crisis, the
variables of default (DEF), liquidity (LIQ) and solvency (SOL) were the variables
that had an influence on both bank profitability indicators (RoA and RoE). It
should also be noted that a complementary analysis to this study was carried
out to highlight the sensitivity of the linear regression estimates (see Appendix
III). The data was removed for the periods considered during the pandemic crisis
(2020 and 2021) and the results show that the default (DEF) variable was not
statistically significant. We then analyzed the moderating effect of the interaction
between the pandemic crisis and default on bank profitability and found that
when the years of the pandemic crisis were included in models 1 and 3, it showed
a negative sign and became statistically significant for both indicators (RoA and
RoE) at a 10% significance level. Thus, the results show how the crisis negatively
moderated the effect of default on the profitability of US banks.
3.4.2. DISCUSSION OF RESULTS
This section first presents the results of the main effects of the dependent
variables testing hypotheses 1, 2, 3 and 4. Next, the moderating effects
related to hypothesis 5 are presented. Thus, the results of the hypotheses to
be tested are as follows:
H1: The sluggishness of banks, as measured by the default rate on the loan
portfolio, negatively affects banks’ profitability.
The results show that the explanatory variable in the model relating to
the default rate (DEF) contributes to the decrease in profitability of savings
banks in the USA. The regression coefficients for the RoA and RoE variables
in the four models show a negative sign, as expected, and are statistically
significant for models 1 and 3. In this case, they show a statistical significance
level of 10% for the RoA and RoE indicator. It can therefore be said that when
banks’ customer defaults increase, their profitability decreases. These results
are in line with the empirical evidence of Demirguç-Kunt and Huizinga (1999),
Athanasoglou et al. (2008), Bikker and Vervliet (2018), Paroush and Schreiber
(2019) and Wang (2023). In this way, hypothesis 1 can be validated.
H2: Bank liquidity has a positive (negative) effect on banks’ profitability.
Bank profitability varies with bank liquidity, and the results show that
the independent variable of liquidity (LIQ) has a positive relationship with
the profitability of US savings banks. For the four models tested, there is a
statistical significance level of 1% for both profitability indicators (RoA and
RoE). Although a mixed association between the variables was expected, it is
nevertheless possible to validate hypothesis 2, since it is possible to state that
banking institutions can obtain greater bank profitability by increasing their
liquidity indicators. These results are in line with studies by Molyneux and
Thornton (1992), Barth et al. (2013) and Trujillo-Ponce (2013).
H3: Bank solvency has a positive (negative) effect on bank profitability.
In the case of profitability measured by RoA, the sign of the regression
coefficient of the two models is positive and statistically significant, with a
158 Marco Amaral
statistical significance level of 1%, so an increase in the solvency indicator
(SOL) contributes to an increase in bank profitability. In contrast, profitability as
measured by RoE shows a negative and statistically significant relationship for
both models at a 1% significance level. The results show a positive relationship
for the RoA variable and a negative relationship for the RoE variable, as
expected. Hypothesis 3 can therefore be validated, since a mixed relationship
was predicted between the variables under study. This result is in line with the
studies by Bourke (1989) Hoffmann (2011) and Carvalho and Ribeiro (2016),
who concluded a negative relationship, and with the studies by Demirguc-Kunt
and Huizinga (1999), Athanasoglou et al. (2008), Kosmidou (2008), Trujillo-
Ponce (2013), Bikker and Vervliet, (2018) and Paroush and Schreiber (2019),
who concluded a positive relationship.
H4: Bank productivity has a positive effect on bank profitability.
The estimated results show that the productivity (PRO) of US savings banks
in terms of the ratio of complementary activity output, measured by the ratio
of commission generated by each employee, has a significant influence on
bank profitability. The results obtained for the four estimated models show
a statistically significant coefficient of 1%, which validates hypothesis 4.
However, the coefficients obtained for this indicator were negative, contrary to
the expected sign, which allows us to infer that the profitability of RoA and RoE
decreased. This result disagrees with the empirical evidence of Gambacorta
and Ibanez (2011) and Trenca et al. (2015), who concluded that there is a
positive association between productivity and bank profitability. Therefore,
this could be a field for further study of the results obtained and a considerable
expansion of research on this subject.
H5: The moderating effect of the pandemic crisis has a significant influence on
the relationship between the four factors and bank profitability.
The moderating effect of the pandemic crisis has a statistically significant
influence on the relationship between three of the four determining factors
and on the RoA and RoE profitability measures (Models 2 and 4). According
to Hayes (2013), an interaction is the product of the relationship between
each of the determining factors and the moderating effect. Thus, by analyzing
the interaction of the product of each of the variables under study (DEF*RIS;
LIQ*RIS; SOL*CRI; PRO*CRI) with the moderating effect of the pandemic
crisis, it can be concluded that the pandemic crisis has a moderating effect on
the relationship between the determining factors and profitability. In turn, this
effect mainly influences the variables of default (DEF*CRI), liquidity (LIQ*CRI)
and solvency (SOL*CRI), with a greater magnitude in default (DEF*CRI), since
it flows negatively and has an impact on the profitability indicator measured by
RoA (Coef = -0.2357) and the profitability indicator measured by RoE (Coef =
-1.2861). Thus, through the moderating effect, we can see how much the effect
of the default variable (DEF*CRI) on the profitability variables (RoA and RoE)
varies when we are in a period of crisis. As the default variable (DEF*CRI) shows
a level of statistical significance of 1% and 10% for RoA and RoE, respectively,
it can be concluded that the crisis negatively moderated the effect of default
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(DEF*CRI) on profitability as measured by both RoA and RoE, i.e. banks with
higher default rates during the pandemic crisis had greater difficulties in their
profitability. On the other hand, the results show that the crisis positively
moderated the effect of solvency (SOL*CRI) and liquidity (LIQ*CRI) on
profitability. This evidence suggests that US savings banks with better solvency
and liquidity had fewer difficulties during the pandemic crisis. In turn, the effect
of the crisis is null for the productivity variable (PRO*CRI) as it does not have
a significant influence. These results are in line with the studies by Wu and
Shen (2013) and Sanchez et al. (2017), who found mixed effects (positive and
negative) between the explanatory variables and bank profitability.
4. CONCLUSION AND LIMITATIONS OF THE STUDY
Although there has been a sharp decline in the number of savings institutions
in the United States in recent years, there continues to be an upward trend in
bank profitability.
This paper aims to analyze the impact of some factors specific to the
banking sector on the financial profitability of US savings banks for the period
from 2012 to 2022 and to assess the moderating effect that the pandemic
crisis has had on this sector. To this end, four econometric models were built,
which explain and can be used to predict the determinants of bank profitability
and the moderating role of the pandemic in these effects.
Thus, several conclusions emerge from this study. Thus, for a total of 609
observations corresponding to 57 savings banks, it can be seen that the banks
in the sample did not obtain economic benefits in their financial performance
in the four explanatory factors. The liquidity factor (LIQ) and the solvency
factor (SOL) have a clear positive effect on bank profitability, with a statistical
significance level of 1%. These results mean that a higher degree of leverage,
through the transformation of customer deposits into loans and advances to
customers (LIQ), together with robust equity capital (SOL), can translate into
higher profitability for banks. On the other hand, the default factor (DEF) shows
a negative relationship at a significance level of 10% for RoA and RoE, and it
can be inferred that poorer credit portfolio quality negatively influences bank
profitability. Finally, the results also emphasize the productivity factor (PRO),
showing, contrary to the expected sign, a negative association with bank
profitability at a statistical significance level of 1%. This unexpected result in
terms of revenue generation per employee could be directly related to the
sharp loss of commission income by North American banks in the period under
analysis, which, together with the sharp reduction in the number of employees,
as shown in Table 3, could translate into lower bank profitability. Therefore, this
could be a field for further research into, for example, different business models
that could lead to a generation of revenue per employee in future research.
Regarding the moderating effect of the pandemic crisis, the results show that
the crisis positively moderated the effect of solvency (SOL * CRI) and liquidity
(LIQ * CRI) on bank profitability. Thus, banks with better solvency and liquidity
160 Marco Amaral
had fewer difficulties during the pandemic period. In contrast, banks with high
default rates during the crisis had greater difficulties in their profitability, i.e.
the crisis strongly negatively moderated the effect of default (DEF * CRI), which
was the variable with the greatest magnitude on bank profitability in the USA.
Finally, the interaction effect of the pandemic crisis on the relationship between
productivity (PRO * CRI) and profitability is insignificant.
It is therefore felt that banks should have a contingency plan for the
occurrence of similar situations, namely a “buffer” of contingent capital to
temporarily strengthen the robustness of banks and that the role of banking
regulators and supervisors could also be more proactive in implementing
medium and long-term financial instruments to restore profitability.
According to the individual analysis of the p> |z| test, the control variables
of the central bank reference rate (CBR) and the type of government in the
US (TGO) do not have an impact on bank profitability. However, the bank size
variable (DIM) has a positive effect on bank profitability as measured by the
RoE indicator at a statistical significance level of 1% and 5%, i.e. an increase
in RoE implies an increase in profitability. In turn, the inflation (INF) variable
positively influences bank profitability for the four models tested, i.e. when the
inflation rate increases, bank profitability also increases.
The results of this study can be useful for bank decision-makers, as well
as supervisors and regulators in the banking sector, as they identify valuable
guidance on the effect of key financial variables on a bank’s profitability. It
could also be used to develop a framework for policies and regulations that
affect bank profitability.
However, the study has some limitations, since the sample used is small,
limited to fifty-seven banks in the North American banking system for the
savings segment. In addition, the period of analysis is medium-term (11
years) and some financial indicators, due to the lack of financial data, require
regulatory support, so the results obtained should be analyzed taking this
limitation into account.
Finally, it is suggested that future research should extend the sample and
the period of analysis and consider other indicators, whether of a financial
nature (tier 1 solvency ratio, liquidity coverage ratio - LCR, net stable funding
ratio - NSFR, technology systems, digital transition, environment, corporate
governance or business models) or of a non-financial nature (GDP, active
and passive market interest rates or the unemployment rate), which could
potentially explain bank profitability.
ACKNOWLEDGEMENTS
The author is grateful to the anonymous referees of the journal for their
extremely useful suggestions to improve the quality of the article.
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164 Marco Amaral
APPENDIX I | COMPLETE LIST OF US SAVINGS BANKS CONSIDERED IN THE SAMPLE AND
NET ASSET VALUE FOR THE YEAR 2022 IN BILLIONS OF USD
Sample Savings Banks Assets %
1 AMERICAN SAVINGS BANK, FSB 9,5 0.7
2 AMERIPRISE BANK, FSB 19,0 1.5
3 ATLANTIC UNION BANK 20,3 1.6
4 AXOS BANK 17,9 1.4
5 BANGOR SAVINGS BANK 7,4 0.6
6 BEAL BANK 6,7 0.5
7 BROOKELINE BANK 6,1 0.5
8 CAMBRIDGE SAVINGS BANK (MHC) 6,5 0.5
9 CAPITOL FEDERAL SAVINGS BANK (MHC) 10,0 0.8
10 COLUMBIA BANK 10,1 0.8
11 DOLLAR BANK, FSB 11,4 0.9
12 EL DORADO SAVINGS BANK, FSB 2,7 0.2
13 FIDELITY BANK, NATIONAL ASSOCIATION 3,1 0.2
14 FIRST FEDERAL BANK 3,8 0.3
15 FIRST FEDERAL SAVINGS & LOAN ASSOCIATION OF LAKEWOOD 2,5 0.2
16 FIRST FOUNDATION BANK 13,0 1.0
17 FIRSTRUST SAVINGS BANK 5,2 0.4
18 FLAGSTAR BANK, NATIONAL ASSOCIATION 90,0 7.0
19 GATE CITY BANK 3,4 0.3
20 HOME BANK, NATIONAL ASSOCIATION 3,2 0.3
21 HOME FEDERAL BANK OF TENNESSEE 2,8 0.2
22 HOMETRUST BANK 3,6 0.3
23 JOHN DEERE FINANCIAL, FSB 3,1 0.2
24 LENDINGCLUB BANK, NATIONAL ASSOCIATION 7,6 0.6
25 LIBERTY BANK 6,9 0.5
26 LUTHER BURBANK SAVINGS 8,0 0.6
27 MASCOMA BANK 2,7 0.2
28 MIDDLESEX SAVINGS BANK 6,2 0.5
29 MIDFIRST BANK 34,7 2.7
30 MORGAN STANLEY PRIVATE BANK NATIONAL ASSOCIATION 119,9 9.4
31 NORTH AMERICAN SAVINGS BANK, FSB 2,5 0.2
32 NORTH SHORE BANK 2,6 0.2
33 NORTHEAST BANK 2,8 0.2
34 NORTHWEST BANK 14,2 1.1
35 NORTHWEST BANK SUBSIDIARES 2,5 0.2
36 OCEANFIRST BANK, NATIONAL ASSOCIATION 13,0 1.0
37 PACIFIC PREMIER BANK 21,7 1.7
38 PATHWARD, NATIONAL ASSOCIATION 6,7 0.5
39 PREMIER BANK 8,4 0.7
40 PRINCIPAL BANK 8,4 0.7
41 PROVIDENT BANK 13,8 1.1
42 RAYMOND JAMES BANK 42,1 3.3
43 RIDGEWOOD SAVINGS BANK 6,8 0.5
44 S & T BANK 9,1 0.7
(Continue)
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45 SPENCER SAVINGS BANK, SLA 3,8 0.3
46 STERLING BANK & TRUST, FSB 2,4 0.2
47 TFS FINANCIAL CORP 15,8 1.2
48 THIRD FEDERAL SAVINGS & LOAN ASSOCIATION OF CLEVELAND 16,1 1.3
49 TIAA, FSB 39,4 3.1
50 TRUSTCO BANK 6,0 0.5
51 UNION SAVINGS BANKS 3,3 0.3
52 UNION SAVINGS BANKS SUBSIDIARES 3,0 0.2
53 UNITED FIDELITY BANK, FSB 5,7 0.4
54 USAA FEDERAL SAVINGS BANK 110,9 8.7
55 WASHINGTON FEDERAL BANK 21,6 1.7
56 WEBSTER BANK NA 71,2 5.6
57 WILMINGTON SAVINGS FUND SOCIETY, FSB 19,8 1.5
TOTAL ASSETS YEAR 2022 - SAMPLE CONSIDERED 920.8 71.9
SAVINGS BANKS NOT CONSIDERED (522) 360.7 28.1
TOTAL BANKING SYSTEM IN THE U.S.A. - SAVINGS BANKS 1.281.5 100.0
APPENDIX II | COMPOSITION OF THE FOUR LINEAR REGRESSION MODELS ESTIMATED
Model 1
RoAit = β0 + β1DEFit + β2LIQit + β3SOLit + β4PROit + DUMMYβ5CRIit + β6INFit + β7CBRit + β8TGOit + β9DIMit + εit
Model 2
RoAit = β0 + β1DEFit + β2LIQit + β3SOLit + β4PROit + DUMMYβ5CRIit + β6INFit + β7CBRit + β8TGOit + β9DIMit +
β10DEFit * CRIit + β11LIQit * CRIit + β12SOLit * CRIit + β13PROit * CRIit + εit
Model 3
RoEit = β0 + β1DEFit + β2LIQit + β3SOLit + β4PROit + DUMMYβ5CRIit + β6INFit + β7CBRit + β8TGOit + β9DIMit + εit
Model 4
RoEit = β0 + β1DEFit + β2LIQit + β3SOLit + β4PROit + DUMMYβ5CRIit + β6INFit + β7CBRit + β8TGOit + β9DIMit +
β10DEFit * CRIit + β11LIQit * CRIit + β12SOLit * CRIit + β13PROit * CRIit + εit
Where,
RoAit represents the return on assets ratio of institution i at time t;
RoEit represents the return on equity ratio of institution i at time t;
DEFit represents the default rate on loans to customers of institution i at time t;
LIQit represents the ratio of deposits to loans of institution i at time t;
SOLit represents the solvency ratio of institution i at time t;
PROit represents the production of complementary activity of institution i at time t;
CRIit represents dummy of the pandemic crisis of institution i at time t;
INFit represents the inflation rate for institution i at time t;
CBRit represents the central bank reference rate for institution i at time t;
TGOit represents the type of government for institution i at time t;
DIMit represents the logarithm of the size of net assets institution i at time t;
DEFit*CRIit represents the interaction between default and the crisis of institution i at time t;
LIQit*CRIit represents the interaction between liquidity and the crisis of institution i at time t;
SOLit*CRIit represents the interaction between solvency and the crisis of institution i at time t;
PROit*CRIit represents the interaction between productivity and crisis of institution i at time t;
β0 is the constant term;
εit is the statistical error term of institution i at time t.
166 Marco Amaral
APPENDIX III | SENSITIVITY OF LINEAR REGRESSION ESTIMATIONS CONSIDERING OR NOT
THE PERIOD OF THE PANDEMIC CRISIS
Variable RoA
(Return on Assets)
EA
(random effects) RoE (Return on Equity)
No Pandemic
Crisis (a)
With Pande-
mic Crisis (b)
(Model 1)
Crisis Effect
(c)
(Model 2)
No Pandemic
Crisis (a)
With Pande-
mic Crisis (b)
(Model 3)
Crisis Effect
(c)
(Model 4)
DEF -0.0155 -0.0866* -0.0128 -0.6713 -0.7276* -0.3770
LIQ 0.0048** 0.0064*** 0.0063*** 0.0296* 0.0535*** 0.0450***
SOL 0.0512*** 0.0620*** 0.0590*** -0.4991*** -0.4484*** -0.4536***
PRO -0.0055*** -0.0040*** -0.0045*** -0.0457*** -0.0321*** -0.0332***
CRI 0.0152 -0.9745*** -0.1735 -9.5107***
INF -0.0033 0.0616*** 0.0434** -0.1747 0.3775** 0.3000*
CBR 0.0558 -0.0080 0.0059 0.7200* 0.2116 0.2237
TGO -0.0352 0.0099 -0.0051 -0.7081 -0.2990 -0.3628
DIM 0.0847* 0.0310 0.0646 1.4638*** 0.8993** 1.1974***
DEF * CRI -0.2357*** -1.2861*
LIQ * CRI 0.0052** 0.0701***
SOL * CRI 0.0569*** 0.3558***
PRO * CRI 0.0010 -0.0003
_CONS -1.1859* -0.7226 -1.1663 -9.0192 -4.0365 -7.6483
No. Observations: 497 609 609 497 609 609
No. Banks: 57 57 57 57 57 57
R-sq.
Within 0.1547 0.1635 0.2241 0.2529 0.1837 0.2393
Between 0.3408 0.3937 0.3696 0.0025 0.0087 0.0140
Overall 0.3160 0.3338 0.3435 0.0204 0.0166 0.0253
Rho 0.6526 0.5824 0.5896 0.6332 0.5731 0.5776
(a) Not considering the financial data of the savings bank sample for the pandemic crisis periods
(2020 and 2021).
(b) Considering the financial data of the savings bank sample for the pandemic crisis periods (2020
and 2021).
(c) Considering the moderating effect of the pandemic crisis on the explanatory factors of the Default
(DEF), Liquidity (LIQ), Solvency (SOL) and Productivity (PRO).
(*) (**) (***) Statistically significant results for a significance level of 0.10, 0.05 and 0.01 respectively.