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Table of Contents
I. INTRODUCTION 3
II. LITERATURE REVIEW 6
III. FOOTBALL TRANSFER MARKET FEATURES, MECHANISM AND FACTORS WHICH EFFECT PLAYERS
PRICES 10
1. Transfer market features 10
2. Mechanism 11
3. Factors which affect players prices: 13
IV. TESTING METHODOLOGY 14
V. TEST RESULTS, EXPLANATION AND IMPLICATION OF TEST RESULTS 21
1. Test for stationary in my data series 21
2. Test results 23
3. Explanations 28
4. Implications 36
VI. CONCLUSION 38
REFERENCES 41
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2
Dissertation of MSc International Money
and Banking
September 2012
Supervisor: Dr.James Reade
UNIVERSITY OF
BIRMINGHAM
TESTING EFFICIENCY OF PREMIER LEAGUE TRANSFER MARKET USING
CORRELATION BETWEEN TRANSFER SPENDING AND FOOTBALL SUCCESS
QUANG HAI TRUONG
Abstract:
This dissertation tests for the efficiency of English Premier League transfer markets
from 1995-2012 using data from 43 clubs. If market participants (football clubs) value
assets (players) accurately, the transfer expenditures of club will reflect their strength
and, as a result, their success in the Premier League. Some of the most interesting
results are the following. Firstly, the transfer market in English Premier League during
post-Bosman era can be considered as efficient. Secondly, there are no evidences
about the premium for British players, but there are evidences about premium for
attackers and players who played in a recent major championship. Finally, the
traditional Big Four Man Utd, Arsenal, Chelsea and Liverpool are the most efficient
clubs, in other words they can get success with relatively less spending.
Keywords: Dummy variables, Market efficiency hypothesis, Premier League,
Transfer spending.
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MSc International Money and Banking
I. INTRODUCTION
There is a field where victory and success are based on rigorous statistical analysis,
ruthless drive of efficiency that capitalism demands, and democratization of
information causing a flattening of hierarchies. We are talking about the financial field,
with topics such as stock investment, M&A activity or foreign exchange high-frequency
trading? No, actually all of the terms above have been used on the famous book
Moneyball of Michael Lewis whose Liars Poker is considered as one of the most
classical books about Wall Street. Granted, baseball playing scenario is more static
than footballs counterpart, but a considerable proportion of footballs game plan (dead-
ball situations: free kicks, corners, throw-ins, penalties... and so on) is able to be
modelled1 . Presumably, we are living in an era when sports action and data analysis
are integrated deepest than ever: recently, the Premier League reigning champion
Manchester City has published a data analysis project named MCFCAnalytics, which
allow users to access to the full data set for all players in the whole 2011/12 Premier
League season. Kuper and Szymanski (2012) noted that data analysis has already
played a big role in player recruitment at four to five clubs, and this number probably
will increase in the near future. Hence football is not only one of the worlds most
popular and entertained sports, but also a potential area for testing economic theories.
1Sam Allardyce may be the one of most successful managers who used statistics and data to analyze games. His
Bolton team used to score 45-50% of their goals from set pieces, while the league average was about 33%.
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MSc International Money and Banking
Nowadays, as employees (football players) are quite free in choosing employers
(football clubs), especially in the European Union2
- where every EU nationals enjoy
similar working rights in a common market and the performances of employees are
quite easy to be measured, European football transfer market offers a very good field
for testing the market efficiency and the valuation of human capital. Indeed, other type
of employees might be reluctant to work abroad because of the language barrier, but
this type of barrier is easier to pass in football football language is surely simpler than
business language. Apart from barriers created by government legislation, normal
employers may also be reluctant to hire a foreign employee because of the lack of
transparency on measuring performance: who knows whether a foreign junior banking
staff will perform better than a domestic one? Luckily, in football it is easy enough to
realize that Eden Hazard is a better player than Daniel Sturridge and clubs would not be
hesitated to recruit Hazard. Thus, the barrier to employment in European football
perhaps is one of the softest barriers in the worlds labour market. As Kahn (2000)
pointed out, there is probably no other field other than sports where we know the name,
face and performance history of almost every worker in the industry.
It would be optimal to make research throughout the whole European football world, but
the workload would be too huge and it is beyond the scope of an MSc dissertation.
Furthermore, not every football leagues in Europe have transparent data and reliable
2Before 1995, there were limits on foreign players quotas, but after Bosman case EU footballers are able to play in
every Member States in the European Union without any restrictions. Currently there are still some barriers on the
movement of footballers under 18 years old.
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MSc International Money and Banking
statistics about players transfers. As a result, this dissertation will focus on ana lysing
the efficiency of the transfer market in English football, in particular the English Premier
League during 17 seasons from 1995-96 to 2011-12. Although there were some papers
looking on similar topics, most of them simply study the correlation between traditional
player statistics and their prices (Berg, E. Van den, 2011) and, as they admitted,
traditional statistics cannot fully reflect the performance of players (as I will explain
clearer in Chapter IV). This paper will use another proxy of measuring transfer market
efficiency: instead of estimating the correlation between individual factors and transfer
prices, I will study the relationship between clubs transfer expenditures and their
football success which will be measured by points they gain in the league. This
assumption is anything but reasonable: according to Tomkinstimes.com (2010), the
average amount of home-grown players on the Premier League from 1995 2010 is
roughly 1.5 players per match and, presumably, transfer should play an important role in
teams success if there is 9-10 players per side are not home-grown. Generally
speaking, transfer market efficiency means that all publicly information on the market
reflects on the players price and their prices are valued accurately, hence expensive
players and teams tend to perform better than cheap players and teams. In other words,
efficiency in the football transfer market means that other things being equal the
more a team spends on purchasing players, the higher its chance of getting success.
This paper is structured as follows: Chapter II discusses and summarise the ideas some
main working papers on football transfer market area. Chapter III describes the
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background of football transfer market, its regulation and mechanism and explain some
factors which affect players prices. Chapter IV describes the testing methodology, the
procedure of collecting and converting data and the test result. Chapter V draws some
implications of test result and explanations about the football transfer market. Ultimately,
chapter VI is conclusion one.
II. LITERATURE REVIEW
Can money buy success? is always a debated question in English football, especially
in the current period of globalisation when a lot of Premier League clubs are owned by
super-rich billionaires. Traditionally, people believe that a teams success must be built
gradually based on long-term investment such as youth academy, training facilities, and
building a team with balance, with certain characteristics that blend with each other
Sir Alex Ferguson. To an extent, Sir Alex was right: although he has spent the third
biggest amount of money during the Premier League, my results in following chapters
will reveal that his Manchester United team can be considered the most efficient during
last 17 years. But there is also a handful amount of examples about teams who
arguably bought their Premier League title by money, a lot of money Chelsea and
Manchester City to be named. My paper which is inspired by the work of Kuper and
Szymanski (2012) and Tomkins et al (2010) will try to provide another answer to this
debate.
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On Soccernomics (2012), Kuper and Szymanski have created a simple but convincing
way to study the efficiency of transfer market: they collected data about clubs wage and
transfer expenditures and studied the correlation between these two variables with
teams success on Premier League and Championship. After examining 58 Premier
League and Championship clubs, Kuper and Szymanski reached a conclusion that
teams wage bill can explain a remarkable percentage of their success (88.72%) during
1998-2007. They also test the correlation between transfer spending of 40 English clubs
between 1978 and 1997, but net transfer spending could only explain 16% of club
success. On the other hand, Tomkins et al used an extremely useful tool - the Transfer
Price Index to convert historical transfer prices into current price, allowing for inflation.
Using this index, they calculated how much each clubs squad cost each season and
how much does it cost on average to win the Premier League title, to qualify for
Champions League or to finish on the mid-table. This book Pay as You Play: The True
Price of Success in Premier focuses on individual clubs transfer effectiveness and does
not consider the impact of other teams spending, moreover Tomkins et al used gross
spending statistics instead of net spending.
There are, of course, other methods of testing transfer market efficiency. Using data
from all transfers to and from the English Premier League in 2008/09 and 2009/10
seasons, Berg (2011) presents a very detailed analysis about determinants of players
transfer prices, include future performance, players function and bargaining position of
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clubs and draw a somewhat surpriseconclusion that players function do not have any
significant influence on transfer fees, while age, games played last season and
domestic transfer premium. Unfortunately, some factors in the analysis remained
ambiguous and unreliable, for example the injury-proneness of a player3 or the available
transfer budget of a club4. Furthermore, variables in players function section may not
cover all necessary skills of a player: for example Berg assumed that players height
would affect transfer prices, but how could he value jumping and heading skills ? As I
will explain below, study the correlation between players function and transfer prices is
an extremely sophisticated job as there are so many skills that a football player needs
and a considerable proportion of them for example mental and technical skills are
impossible to measure. Similar to Berg, Carmichael et al (1999) also offers another
point of view on the relationship between players function and transfer fee, however
this paper only covered a few factors such as age, appearances, goals scored, goals
conceded (with goalkeepers and defenders), position (with dummy variables), national
team appearances and how many times this player has been transferred before.
Presumably, it is very difficult to value a midfielder using Carmichaels approach as his
most important assets are assists and the accuracy of passes. Dobson & Gerrard
(1999) studied 1,350 transfers in the English Premier League between 1990 and 1996
and found that career goal scoring rate, games and goals previous season, international
caps and goal difference of buying club last season have a positive relationship with
3Berg noted that there is a fair amount of noise in his use of injury-proneness and he admit that his method
collecting data on the number of weeks that a player was sidelined during previous season may be a very
inaccurate predictor.4As historical budgets are not easily available, Berg estimate a clubs transfer budget by its stadium capacity and
its presence on European competition. He admitted that this is an imperfect measure
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transfer prices while number of previous clubs and league position of both buying &
selling clubs last season possess negative correlation.
My paper will try to study the efficiency of transfer market by a different method. Instead
of study the correlation between players ability, club function and transfer prices, I will
research the relationship between transfer spending and club success, with the
assumption that clubs will win games if players play well. I suppose that net spending
(transfer fee paid minus transfer fee received) is a more accurate indicator for the
aggression of clubs in transfer market because it reflects the true changes on club
squads: clubs are generally strengthened with new transfer purchases, but they are also
weakened when players leave. Granted, some big clubs do not need to sell players for
money and their squads are not necessarily weakened even if they sell some stars. For
example, in my opinion, Chelsea was arguably benefited from selling Arjen Robben as
he to an extent - lost motivation and become more prone to injuries. However, there
are only three to four rich clubs which do not need to sell players to balance their books,
the others do not have such privilege and, in general, clubs strengths are reduced
when they sell players. Hence I will use net spending instead of gross spending as the
independent variable.
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III. FOOTBALL TRANSFER MARKET FEATURES, MECHANISM AND
FACTORS WHICH EFFECT PLAYERS PRICES
1. Transfer market features:
Football is by far the worlds most popular sport. And unlike (North American sports
which do not contain an official transfer market, the transfer market in European
football are highly organized. There are generally four main participants during a
transfer: the buying club, selling club, the player himself and the regulator
(national/continental/international football association). The buying club normally
have to pay a transfer fee for the selling club in order to get the service of the player,
unless he is a free agent under Bosman ruling. In this case the buying club would
not have to pay transfer fee and the deal is addressed as free transfer.
Although not an official participant himself, transfer agents are becoming very popular in
the modern era of football transfer market, as they practically act as a bridge between
clubs and players. Even the best football scouts do not fully know the whole market of
players, and players normally have a limited knowledge about their potential employers.
Furthermore, when contract terms and conditions become so complicated, clearly
players are not willing to negotiate all the complex law terms by themselves and it is
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better to let the negotiation task to their agents. An agent can give both players and
clubs wider and better choices.
2. Mechanism:
The mechanism in transfer market was completely changed after the Bosman rule.
Hence it will be useful if we divide the 20-years history of the Premier League into two
periods: before and after Bosman rule.
Bosman rule is named after Jean Marc Bosman, a Belgian player who tookhis club
(RFC Liege) to European Court of Justice because he was not allowed to freely move to
another club (US Dunkerque) even his contract has expired. As Dunkerque did not meet
Lieges transfer fee demand, Liege refused to let Bosman leave the club. According to
regulation in football transfer market at that time, in several countries buying clubs still
had to pay transfer fees to selling clubs in order to buy out-of-contract players. The
situation in English football was partially different: Simmons (1997) noted that from
1978, if the club does not offer a new contract with the same terms, the player has the
right to reject this contract and can move to a new club with no transfer fee attached.
Only in the case that the player whose contract has expired - rejected a new contract
with equal or better terms, the buying club would have to pay the compensation fee in
order to execute the transfer. It was clear that players in English league enjoyed far
more freedom than their colleagues in some continental European leagues, however
the European Court of Justice still amended the English transfer system in order to
apply the Bosman ruling.
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MSc International Money and Banking
Before the Bosman rule a footballer was practically an asset of the club. Even if his
contract has been expired, another club would have to pay a transfer fee to sign him,
otherwise he would have to wait two years which is too long in comparison to a
footballers career - to become a free player. However the Bosman rule changed
everything. From 1995 a footballer became a free agent right after his contract has been
expired and he was free to negotiate with other clubs 6 months before his contract
ended. Hence the power shifted from club to players hands and the transfer fee has, to
an extent, decreased because buying clubs no longer had to pay transfer fees for
players whose contract has expired or has been expiring (although other factors such
as inflation, higher club revenue from TV rights, marketing helped to bring players
transfer fee to a new record).
If the players contract still has more than 6 months left, the buying club will have to
approach the selling club first to make an inquiry whether they want to sell this player or
not. If the selling club also wants to sell this player, these two clubs can negotiate a
transfer fee. If they can reach an agreement in transfer fee, the buying club will have the
right to approach the player and negotiate personal terms such as wage, bonus, image
rights... and so on. If the buying club approach their transfer target without permission
from selling club, this type of action will be considered illegal. Furthermore, clubs can
use as much European Union (EU) players as they want and there are no restrictions
on player mobility within the EU.
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3. Factors which affect players prices:
As there are three parties (selling and buying clubs, player himself) included in a
transfer, a players transfer price is generally determined by internal and external
factors.
Internals are factors which belong to this player only: age, league and national team
appearances, position-specific performance, remaining years in contract, buy-out clause
(if available) in contractand so on. Clearly, age plays an important role in determine a
players price. His price will be highest during the peak period (normally 25-28) and
gradually lower before and after this period. Generally speaking, younger players are
not experienced enough to perform on the biggest stages, while older players are
physically weaker and has little value to be re-sold. About position-specific performance,
typically a striker will be valued by the amount of goals which he scores (although it is
not always true, there are some types of striker whose task is not only score goals but
also holding the ball, create space for teammates or assist), a goalkeeper will be valued
by his number of clean sheet, an attacking midfielder will be valued by his number of
assists and so on.About contract time remaining, after studying 239 transfers on the
German Bundesliga, Feess and Muehlheusser (2003) suggested that remaining
contract years have a positive correlation with transfer prices.
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External factors are buying and selling clubs financial ability, alternative choices and
regulation. About regulation, obviously the Financial Fair Play regulation5
has a strong
influence on European clubs willing to spend on transfer market, for example rich clubs
like Man City has to offload fringe players before they can purchase new signings,
otherwise they might be banned from European competition. Alternative choices are
also very important: Robin Van Persie is, undoubtedly, a very good player but Man City
is reluctant to pay a huge fee for him because they already have many other attacking
options Last but not least, financial abilities of both buying and selling club are very
important: in-debt clubs such as Valencia years ago had to sell their best players (Villa,
Silva, Mata) at a relatively cheap price to pay for their debt, while rich clubs such as
PSG can afford huge price for a player whos not a superstar just because their owners
are so rich.
IV. TESTING METHODOLOGY
In an optimal scenario, all data related to internal and external factors needs to be
collected and measured to check whether a players transfer price reflects all the market
information or not. However, collecting such data is a very difficult job as some of them
are ambiguous and, at best, unreliable. For example: the remaining time on a contract
surely plays a very important role on determining his transfer price. According to Vialli
and Marcotti (2006), 1.5 years remaining become a point of balanced power between
5This is a effort of UEFA to prevent European clubs from spending more money than they earn. During the period
from 2011/12 to 2014/14 seasons, clubs must not loss more than 39.4 million if they want to participate in
European club competitions.
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clubs and players, with 2 or more years the power shifted into clubs hands and the club
tends to ask for higher price than his fair value, with 1 year or less the player will hold
the power and the club may be forced to sell him at a lower transfer price. Undoubtedly,
studying this variable will be extremely useful but there is no clear and reliable source
for all transfers. Frick (2007) noted that information on contract duration is difficult to
obtain and further empirical study on this area is required. The same story happens with
buy-out clause: presumably, higher fee on buy-out clause (if it exists) on a players
contract tends to drift transfer price higher, but it is extremely hard to collect that
information for all transfers.
Furthermore, these criteria such as number of goals/assists/clean sheets. seem to be
too simple to measure players value, for example Xavi Hernandez (or Michael Carrick,
to an extent) is a very good player but his contribution is mainly ball retention and tempo
control, hence how can we measure his value by number of goals and assist ? With
defenders and defensive midfielders the situations are far more complicated: of course
Rio Ferdinand or Javier Mascherano do not score nor assist frequently, and we need to
value them through their amount of successful tackles, for instance. However there is a
famous story about Sir Alex Ferguson mis-sold Jaap Stam partially because he believed
that the Dutch defender is declining as his number of tackles decreased: in fact Stam
and other great defenders (Maldini, Baresi) choose their positions so well that they
did not have to make so much tackles (Kuper and Szymanski, 2012). Hence, we need
even more detailed analysis perhaps all Optas statistics - about a players
performance to measure his value and this task is almost impossible in the scope of this
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MSc dissertation. Berg (2011) also states that his approach using direct measures of
player performance is too individual-focused: it cannot demonstrate the actual
contribution of a player on the probability of winning or losing a game of his team.
The external factors are also very interesting but very hard to measure as well.
Obviously, the Financial Fair Play (FFP) regulation of UEFA will probably limit the
transfer spending of clubs, but because the information about FFP was leaked to the
public five years before this regulation come to effective, it is difficult to assess whether
this regulation has effect on a particular year and particular transfer. For example, clubs
have three years (up to 2014-15 season) to balance their football-related expenditures
(money spending on transfers and wages) and Martin Samuel (Daily Mail, 2011)
suggested that rich club such as Man City might not afraid of spending huge amount of
money on 2010-11 season to qualify for Champions League next season, knowing that
the revenue from Champions League would help them to balance books. Financial
ability of both buying and selling clubs is important as well, but many of Premier League
transfers include one foreign party (Italian, Spanish, German, Frenchclubs) and
financial data of these clubs are not always available.
To avoid such noises and obstacles, I will choose another proxy to study the efficiency
of the transfer market. Instead of measuring all internal and external factors as above, I
will study the correlation between the transfer expenditures and football success of
Premier League clubs. If the coefficients for transfer spending are significant and
different from 0, and independent variables can explain a considerable proportion in the
variation of dependent variables, the transfer market in English Premier League can be
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considered as efficient. Indeed, the basic concept of efficient market is that market
information will determine asset prices. With the semi-strong form, all publicly
information would be reflected on asset prices. It is relatively hard to define the term
publicly information on financial markets such as stock or currency, but luckily
enough it is not that hard to assess a players skill based on his performance on the
football pitch, especially on this highly-commercial era of football when top-tier clubs
might play more than 60 matches per season. In football, publicly information is simply a
footballers performance on the pitch. If the football transfer market is efficient, players
performance will reflect onto his price: the better one player is, the higher his transfer
price is. In other words, expensive players will tend to perform better than cheap
players. Hence, it is possible to test the efficiency on the transfer market using the
correlation between transfer spending and sport success of football clubs, using
assumption about a simple chain: club buys players, players play well, team wins
games, team is successful.
Granted, there are several factors which can determine the result of a particular match
and an expensive team may lose even if their players perform well because of bad luck.
A player can be playing his best and doing a lot of good things, but the results may just
not be happening for the team due to the uncertainties associated with football.
However, true luck should even itself our over years and if the dataset is big enough,
the effect of luck can be believed to diminish.
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To study the correlation between transfer spending and football success of Premier
League clubs, I collect all data about transfer for 20 Premier League clubs each season,
from 1995/96 to 2011/12 season. Transfer data is collected mainly from clubs financial
accounts and reputable websites such as transfermarkt.co.uk and transferleague.co.uk.
Data was cross-checked on trusted media sources such as English newspaper:
guardian.co.uk, telegraph.co.uk, dailymail.co.uk and several sport websites worldwide:
espn.go.com, sportsillustrated.cnn.com, football.uk.reuters.com and the Deloitte Annual
Review of Football Finance when possible. Clubs successes are measured by the
amount of points they gain during a particular season. Personally, I suggest that league
point is a more accurate tool to measure success than league position because of two
reasons. Firstly, points can demonstrate the difference between teams performance
better, for example: the difference between Man Utd and Arsenal in 2011/12 season is
19 points (89 in comparison with 70) but only 1 position (2 compared with 3). Secondly,
points can reflect the difference between the same teams performances in different
seasons. For instance, Man Utd attained 91 points in season 1999/00 and just 79 points
in season 1998/99 a 12 points difference but they won the Premier League title in
both seasons, so their positions are the same. .
To test whether transfer spending has a positive with clubs football success or not, I run
a regression between Premier League clubs transfer spending (with lagged spending)
and their respective football success in every season of Premier League. The concept
of lagged spending is quite clear: when clubs buy a new player, generally they do not
require him to play extraordinarily well in the very first season as this player needs time
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to settle down (normally it is easier to settle if he is from the British Isles, more difficult if
he is from overseas), adapt the playing style of new club, get familiar with new
teammates and coaches... and so on. Normally, a clubs squad can contain players that
they bought from two or three years ago and these players still have contribution to the
teams success (Fernando Torres is a good example: he played terribly during his first
season at Chelsea but is gradually recovering his form in the current season). Hence
the success of a spectacular team on a particular season does not depend only on its
spending in this season but also on previous seasons. However, the number of lagged
spending on previous seasons which we include in regression model should not excess
3, because the average time that a player spends in one club is around 3-4 years. For
newly promoted clubs who did not participate in the Premier League in the previous
season, I will use their transfer figures at Championship because it is all spending in
recent years which might help explain success in any given year.
Besides the dependent and independent variables, I also add dummy variables for each
team which has participated in the Premier League during the research period. From
1995 to 2012, there were 43 teams have played in the Premier League, hence I have 43
dummies for each team, from D1 to D43.
By using dummies, I will allow each club to have a different intercept, hence I can
compare the slope which is the relationship between spending and success of one
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particular team with other teams. In other words, I can examine whether one club is
more efficient than another.
The regression formula is as below:
(1)
With is club success on season t
is clubs transfer spending on season t
is clubs transfer spending on season t-1
is clubs transfer spending on season t-2
is clubs transfer spending on season t-3
D1 = 1 if it is Arsenal, D1 = 0 if it is other teams
D2 = 1 if it is Aston Villa, D2 = 0 if it is other teams
... and so on for all 43 teams.
I will run one big regression for all 17 Premier League seasons that I examine.
The benchmark is 50%: if independent variable (net spending) can explain more than
50% of dependent variable (success), there will be a positive correlation between clubs
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transfer spending and success. If beta value of at least one explanatory variable is
significant and different from 0, hence the transfer market can be considered as
efficient.
V. TEST RESULTS, EXPLANATION AND IMPLICATION OF TEST
RESULTS
1. Test for stationary in my data series
Before run the regression between transfer spending (include lagged variables) and
club success, I need to test for stationary of my data set first and make sure that my
data is stationary.
Non-stationary data can not be viewed as good input because of the potential
spuriousness problem that it can create. The ultimate target of regression analysis
technique is to estimate the real correlation between explanatory variables and
response variable correctly and precisely. However, if we simply consider the raw
number data set without the incorporation of economic theory, some fake relationship
between variables can happen though they may not have any relationship on the real
world. For example, both the rainfall in Vietnam and the unemployment rate in Southern
Europe has risen sharply in recent years and perhaps their rates of increase have some
relationship on purely number analysis, but obviously these two outcomes do not have
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any direct effect to each other in the real life. This fake relationship can be illustrated
by two drunken people walk randomly in the same direction. In fact they do not have
any incentive to follow each others route, but because of their random walks
observers may feel that they have fairly strong relationship, rather than such a
coincidence. By mathematical language, non-stationary data can be described as:
= + + with = 1, therefore = + + or= + .
That means this variable may not have the trend to move towards its equilibrium level
(since no such level exist) and only responds to new, random information (
Here below is the result for stationary test, using Statistics by PcGive/Unit-root test on
OxMetrics
Yt: ADF tests (T=337, Constant; 5%=-2.87 1%=-3.45)
D-lag t-adf beta Y_1 sigma AIC
0 -20.97** -0.13307 15.49 5.487
\Xt: ADF tests (T=337, Constant; 5%=-2.87 1%=-3.45)
D-lag t-adf beta Y_1 sigma AIC
0 -18.99** -0.034892 22.49 6.232
Xt-1: ADF tests (T=337, Constant; 5%=-2.87 1%=-3.45)
D-lag t-adf beta Y_1 sigma AIC
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0 -19.56** -0.066740 21.79 6.169
Xt-2: ADF tests (T=337, Constant; 5%=-2.87 1%=-3.45)
D-lag t-adf beta Y_1 sigma AIC
0 -18.91** -0.029781 20.7 6.066
Xt-3: ADF tests (T=337, Constant; 5%=-2.88 1%=-3.46)
D-lag t-adf beta Y_1 sigma AIC
0 -17.69** -0.030734 19.29 5.925
With all variables are stationary, I can carry out the regression without further data
modifying.
2. Test results
As I choose a model with lagged spending until season t-3 and the Premier League only
began on season 1992/93, the earliest season that I can start study is 1995/96 (if I start
with earlier season, will not be in the Premier League)
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Using OLS regression on OxMetrics6 to study the correlation between net spending and
success of Premier League clubs during 17 seasons from 1995/96 to 2011/12, I get the
results for quantitative variables as below:
Coefficient Std.Error t-value t-prob
Constant 31.9171 6.376 4.89 0.0000
Xt 0.0725144 0.02555 2.84 0.0049
Xt-1 0.12707 0.02786 4.56 0.0000
Xt-2 0.0272205 0.02932 0.928 0.354
Xt-3 0.0557588 0.02843 1.96 0.0508
R^2 0.71
With t-prob ofandlarger than 0.05, we do not reject the null hypothesis that
these two variables are insignificant. In contrast, andare significant as their t-
prob are smaller than 0.05.
Test for general restrictions:
&1=0;
&2=0;
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GenRes Chi^2(2) = 38.156 [0.0000]**
Hence we can reject the hypothesis that and= 0.
The value of R^2 is 0.71, which means the independent variables (net transfer spending
on the current and the previous season) can explain 71% of variation in dependent
variable (teams success measured by points). Thus, to an extent, the transfer market in
English Premier League can arguably be considered as efficient. Furthermore, one of
the direct conclusions from the result above is that, generally speaking, transfer
spending of the seasons 2 and 3 years ago do not have a significant effect on clubs
success.
Besides that, the result for qualitative variables (dummies) is as below:
Dummies Coefficient T - prob
D1 - Arsenal 42.1399 0.0000
D2 - Aston Villa 19.9842 0.0032
D3 - Blackburn 16.9707 0.0127
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D4 - Bolton 12.403 0.0704
D5 - Chelsea 31.7174 0.0000
D6 - Everton 19.965 0.0032
D7 - Fulham 11.8553 0.0873
D8 - Liverpool 31.6271 0.0000
D9 - Man City 11.4638 0.1002
D10 - Man Utd 47.1726 0.0000
D11 - Newcastle 20.7216 0.0023
D12 - Norwich 7.70734 0.3913
D13 - QPR 3.18549 0.7203
D14 - Stoke 10.5406 0.1765
D15 - Sunderland 5.3888 0.4362
D16 - Swansea 14.7369 0.181
D17 - Tottenham 20.449 0.0025
D18 - West Brom 3.65095 0.6192
D19 - Wigan 10.4137 0.1494
D20 - Wolves 0.716584 0.9268
D21 - Blackpool 7.43537 0.4993
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D22 - Birmingham 10.9313 0.1378
D23 - West Ham 14.8753 0.0293
D24 - Barnsley 3.37153 0.7592
D25 - Bradford -0.450164 0.9601
D26 - Burnley -1.94262 0.8598
D27 - Charlton 12.4793 0.08
D28 Coventry 10.2329 0.1642
D29 - Crystal Palace 1.80152 0.8411
D30 Derby 7.87135 0.2758
D31 Hull 2.31749 0.8331
D32 Ipswich 19.2679 0.0327
D33 Leeds 22.3836 0.0016
D34 Leicester 13.0829 0.0707
D35 Middlesbrough 10.6637 0.1191
D36 - Nottingham Forest 9.9728 0.2259
D37 - Sheffield United 5.11177 0.6421
D38 - Portsmouth 10.9893 0.1289
D39 Reading 13.1147 0.145
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D40 - Sheffield Wednesday 8.81745 0.242
D41 Southampton 12.2199 0.0803
D42 Watford -5.19343 0.5636
D43 Wimbledon 11.7918 0.1179
The figures above suggest that Man Utd (coefficient value is 47.1726), Arsenal (beta
value is 42.1399), Chelsea (31.7174), Liverpool (31.6271) are actually the most efficient
clubs. In other words, given the same level of net transfer spending, these four clubs
can achieve far more success than the rests of Premier League. Arsenals efficiency is
hardly a surprise: Arsene Wengers smart transfer policy is broadly recognized, and
Man Utds efficiency can also be explained by the appearance of Golden Generation
with Ryan Giggs, David Beckham, Paul Scholes, Gary Neville, Nicky Butt, Phil Neville.
All these players are home-grown, hence Man Utd did not have to pay any transfer fee
for them but they have helped the club to enormous success. However, Chelsea and
Liverpools efficiency are more difficult to explain: Chelsea was presumably the leagues
biggest spenders before the rise of Man City, while Liverpool did not win any Premier
League title and only had twice runners-up during the research period.
3. Explanations
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There results about R^2 and the significance of independent variables above indicate
that the English Premier League transfer market is efficient, but certainly it is not a
perfect market as R^2 is 71%. Apart from the randomness nature of football and,
admittedly, the uncertainty of my causal link, there may be some other reasons why the
transfer market is not perfectly efficient.
Why the transfer market efficiency is not perfect
Firstly, some nationalities are overvalued and some other nationalities may be
undervalued both of these two issues lead to an inaccurate valuation of players.
Established managers such as Arsene Wenger, Rafa Benitez, Sven-Goran Eriksson
and Martin Jol (notably, all of them are foreigners) have argued that English footballers
are often overpriced in comparison with their foreign counterparts, with disappointed
transfers such as David Bentley (17m, Tottenham), Francis Jeffers (8m, Arsenal),
James Beattie (16m, Everton) to name just a few. However, their opinions are not
necessarily true: as a players ability includes visible (passing, shooting, tackling, height,
weight...and so on) and hidden ability (tactical, work rate, influence, aggressive... and so
on), English (and British players in general) footballers hidden value may make up for
their relatively limited ability on the field. For example, they probably will settle down
quickly in the new club and will not have such relocation risk6, they are trained to play
in 4-4-2 formation that lots of Premier League managers prefer, they can help create a
6The risk that a new, foreign player fail to adjust to the new culture, new language, new society and underperform
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good atmosphere in the dressing room and after some years playing at the club they
can become not only managers messenger on the pitch but also mentor to the younger
players.
Nonetheless, English is not the only nationality which is believed to be overvalued on
the transfer market. Kuper and Szymanski (2012) suggest that Dutch and Brazilian are
overvalued nationalities as well, with the latter becomes the most favourable nationality
on transfer markets. Arguably, clubs are often willing to pay some premium for Brazilian
and fashionable nationalities - footballers and this behaviour makes the transfer
market less efficient. But the favour upon some particular nationalities are not only
because of clubs biases, it is also because of football regulation. Currently English
football regulators require a non-EU player to meet strict criteria: either played in at least
75% international games of their national team, and their national team must rank at
least 70th
on FIFA average ranking over a two years period prior to the work permit
application, or has significant contribution to the development of football at the highest
level. Hence clubs tend to pay a premium on EU nationals (compared with non-EU
nationals) who do not need to apply for a work permit, as Berg (2011) points out. It may
seems illogical that unrestricted supply of a good (EU players) lead to increase in price,
but clubs may want to avoid the complex procedure to registering a non-EU player,
especially if he does not meet the criteria above and has to be considered under the
category significant contribution to the development of football. In fact, Szymanski
(2000) pointed out that there is statistically significant evidence of racial discrimination,
which means clubs tend to pay less money for black players (although not every black
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players are non-EU nationals). In summary, non-EU nationals are generally
undervalued as clubs have to overcome lots of obstacles in order to obtain their
services and unfashionable nationalities may also be under-priced: Frick (2007)
suggested that Eastern European players actually suffered from discrimination in
Germany (though the situation in English football may be slightly different).
Another possible reason for the inefficiencies in football transfer market is that, certain
positions are overvalued. Normally attackers (strikers, attacking wingers/midfielders) are
over-priced because they are considered as the difference-makers in the team and they
can create flamboyant, magic moments. On the other hand, defenders and goalkeepers
are usually undervalued because they do not appear much on highlights, they are
judged as doing dirty works, they cannot make the team win themselves and
defenders can only help their teams not-lose.Arguably, attackers have to do a tougher
job than defenders as they have to beat the defender and put the ball accurately into the
net, while defenders only need to clear the ball away. Furthermore, in modern football
attackers are normally outnumbered by defenders because most teams use a 4-men
defence (4-4-2, 4-3-3, 4-5-1, 4-2-3-1... and so on). Consequently, clubs tend to pay
more money for an attacker than a defender.
However, all of the arguments above are purely theory. To test whether nationality and
position have a significant influence on players transfer fees or not, I carry out a simple
regression with two dummy variables for nationality and position. I hand-collect data for
all transfers during three seasons 1998/99, 2005/06 and 2011/12, with the final sample
includes 434 transfers. The regression equation is as below:
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(2)
With D1 = 0 if this is a non-British Isles player, 1 if yes.
D2 = 0 if this is a non-attacker, 1 if yes.
Here above I categorize English, Scottish, Welsh, Northern Irish and Irish players in to
British Isles group. While Scotland, Wales and Northern Ireland are all parts of the UK,
Carmichael et al (2000) noted that Irish players were not treated as foreigners even
before the Bosman ruling, and they also share the common language (English) and
culture. Hence, Irish should be categorized as non-British Isles (domestic) players
rather than foreign.
As a result, the base group on model (2) is non-British Isles and non-attackers. All
comparisons will be made in relation to this group.
The regression result is as below:
Coefficient Std.Error t-value t-prob
Constant 3.89695 0.4426 8.8 0.0000
D1 -1.38949 0.5681 -2.45 0.0150
D2 1.86279 0.5957 3.13 0.0019
Coefficients for both dummies are significant. As coefficient for D1 is less than zero,
non-British Isles players actually have higher transfer prices than British Isles
colleagues, which is quite a surprise and against the traditional stereotype. This result
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could be due to the fact that a considerable proportion of domestic player transfers in
Premier League include junior, relative cheap players, however there is no evidence on
the over-valuation of British Isles players. Berg (2011) also found the same conclusion
that UK nationality, in fact, has negative relationship with transfer prices. In contrast,
Pedace (2008) found that South American players in English professional soccer
(including Premier, First and Second Division) are overpriced in comparison with their
productivity contributions.
On the other hand, attackers are valued relatively higher than non-attackers, which
confirm the theory that clubs tend to pay a premium for attacking players
Moreover, players who perform well at major championship are often overvalued as
their prices are justified on just a good month with maximum 7 matches. The midfielder
Kleberson played extremely well for Brazil in the 2002 FIFA World Cup and even
contributed an assist in the final against Germany, after that Sir Alex Ferguson stated
that Kleberson won the World Cup for Brazil last summer. Man Utd paid 6.5 million to
sign him, however Kleberson would only make 20 appearances during his two seasons
at Old Trafford and became a big disappointment. During the same World Cup,
Senegalese striker El-Hadji Diouf also made a strong impression and helped his team
reach the quarter-final. Nevertheless he was a big flop at Anfield after scoring only three
goals in two seasons. Jamie Carragher even referred to Diouf as a forward with one of
the worst strike rates in Liverpool history, and the only No.9 failed to score even a single
goal during one whole season. Even a World Cup winner, Stephane Guivarch, failed to
make any impact at Newcastle after cost the club 3.5m. Guivarch played only four
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matches for Newcastle, scored one goal before leaving for Rangers.Roman
Pavlyuchenko is another example: after scoring 3 goals in 5 matches of Euro 2008 final
and be named on the Team of the Tournament, he was bought by Tottenham Hotspur
for a fee around 14 million. However, Pavlyuchenko never fulfilled the expectation and
had to accept a substitute role. Generally speaking, this problem is alike to the
Representativeness theory in behavioural finance, when market agents tend to make
decision based on a small sample sizes.
To test whether a World Cup premium really exists, I collect all transfers data from
three post-World Cup seasons: 1998/99, 2002/03 and 2010/11, with the final sample
includes 295 transfers and run a regression with one dummy variable:
(3)
With D1 =1 if this player has already played in the recent World Cup, D1 = 0 if not. The
base group is players who did not participate in the World Cup.
The result is as below:
Coefficient Std.Error t-value t-prob
Constant 3.70877 0.3934 9.43 0.0000
D1 4.45690 0.8722 5.11 0.0000
With coefficient of D1 bigger than zero and is significant, there is an indication that
recent World Cup (and perhaps other major international tournaments) performer will be
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valued higher than players who did not play in recent tournaments. Nonetheless, there
is another argument that these World Cup stars are probably better players than non-
World Cup players, hence their transfer prices should be higher as a result and it is still
unclear whether World Cup players are priced at their fair value.
Kuper and Szymanski (2012) also suggest another explanation that a new manager
usually wastes money. As he wants to add his own mark on the team, a new manager
will try to buy some new players just for the sake of spending and does not really care
whether it is a good long-term investment or not. In most cases, he does not have the
incentive to save money for the club as he will not get more bonuses if the club makes
profit. In the context of microeconomics, this situation can be drawn into information
asymmetry, and by more details, moral hazard category where a party (the manager)
have incentives to take risks (buy new players), knowing that he probably will not have
to bear the costs that could incur(clubs financial loss).
This problem is also partially noticed by Tomkins et al (2012) as the Newcastle effect:
when a manager moves to a bigger club, he will needs more money to achieve the
same level of success as with his former club. For example, Tomkins et al noted that
Mark Hughess cost per point at Blackburn was 584,081, however after he was
appointed as the manager of Man City Hughess cost per point rose to 1,557,045
nearly three times higher. According to the same source (Tomkins et al) Martin ONeill
needed to spend 453,849 to get a point at Leicester City, but he would have to spend
1,183,892 for one point at Aston Villa later, while Steve Bruces cost per point rose
sharply to 1,176,778 at Sunderland in comparison with 613,370 at Wigan earlier.
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Nevertheless, this reason remains debatable as not every new manager spends huge
sums on transfer, especially when his new club are not financially strong. Furthermore,
samples are not always comparable at these managers time at their clubs can be
highly different from each other, thus a simple cost per point figure may not reflect the
true story. As I can only provide arguments without quantitative testing, it would be very
useful if future analysis can examine the existence of this new manager effect.
4. Implications
The question of market efficiency has a very important place on investment valuation
theory. If there is evidence that market may be inefficient, there would be chances for
market participants to exploit by buying undervalued assets and selling overvalued
assets. In the context of football transfer, that means buying underpriced players and
selling overpriced ones. Though football has its own characteristics and having the best
assets (players) does not guarantee winning games and football success, it clearly
gives the club an big edge, especially if we note that recent studies did not find
evidence for strong managerial effects on English football clubs performances. Audas
et al (1997) indicated that clubs do not receive any short-term benefit from changing
manager after a spell of bad results, while Szymanski (2000) quote Johan Cruyff one
of the most influential players and managers during the history of football saying that
if your players are better than your opponents, 90 percent of the time you will win.
Hence it is worth study the efficiency of the football transfer market and try to figure out
the gap (if it exists) between a players true value and his market value.
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The result above implies that English Premier League transfer market is quite efficient
and clubs value players transfer prices quite exactly. This means, in general, good and
useful players will have higher transfer fees than bad players and clubs may not be able
to maintain the same level of success without keep spending money on purchasing new
players, unless they have a very good generation of home-grown players. There is not a
coincidence that Man City has emerged from virtually nothing to a dominance power
after spending 400 million on net transfer during last 4 seasons, while Arsenal cannot
compete for the Premier League title any longer after earning 19 million from players
trading during the same period.
Nevertheless, as the transfer market is far from perfect, there maybe some effects that
clubs can take advantage of. Firstly, regarding to nationality, clubs should not be afraid
of buying British talents as, in the scope of this dissertation, there is no evidences that
UK and Ireland nationality might be over valued. Besides that, they should carefully
scout South American players before make a purchase as this category of players often
be over priced. Furthermore it may be useful to look at the non-EU players market,
especially Eastern European and black players because these players are arguably
suffered from discrimination. Secondly, with some indications that players who played at
recent major championship might be valued at a higher level than their fair price, thus
clubs should be careful and selective and, if possible, simply buy him before the
tournament kicks off. For example, before World Cup 2010 Sir Alex Ferguson has
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bought Chicharito who would score 20 goals in his very first season at Man Utd - for
only 7 million to avoid the risk that his price might be inflated a lot after a successful
tournament.
Another interesting finding is that coefficient of net transfers spending on the last
season ( has the biggest value among four seasons. It can be loosely interpreted
that, in general, players who were recruited in the previous season will have biggest
contribution on clubs success in comparison with other groups. Although it does not
mean that teams should sell players who are in their 3rd
or 4st
year, this fact above
presumably indicates that clubs and fans should be patient with their new signings in
their very first year.
Last but not least, net transfer spending on season (t-2) and (t-3) do not have significant
effects on club success because their coefficients are not significant. This insignificance
may be due to the speed of purchasing new players of clubs: as they buy a handful
amount of new players every season, older players who arrive in 2 or 3 years ago would
be gradually replaced, thus transfer spending on (t-2) and (t-3) season are not
statistically significant.
VI. CONCLUSION
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This paper tries to test the efficiency on football transfer market by collecting related
data on Premier League transfers and studying the correlation between clubs net
spending and success. It also examines the existence of such a premium about British
players, attackers and recent World Cup players. Though there are, admittedly, some
weak points in my causal link (perhaps the weakest point is team win games if players
perform well) and transfer figures might not be 100 percent correct as there is no direct
confirmation from clubs, my dissertation has find some evidences about the efficiency of
the English Premier League transfer market and, to an extent, confirm the existence of
efficient market hypothesis. In other words, players are valued fairly accurate and
normally teams who consistently spend more money will get more success in the long
term. The efficiency of English Premier League transfer market might be due to the
liberalization of European labours market, the wider and deeper information that clubs
possess about potential targets or the English model of football management. In several
continental European countries Italy perhaps the best example Vialli and Marcotti
(2006) suggest that the sporting director also weighs strong influence in transfer market
and the manager is more like a first-team coach. In England, managers not only carry
out training and tactical planning but also take responsibility for players transfers. Thus,
Premier League managers arguably know better than their continental colleagues about
how to extract the best of talent from his transfer purchase.
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Besides that, it also shows that given the same level of net spending, some clubs can
get more success than others and it is interesting to note that four clubs with highest
intercept values much higher than the rests - during the research period are
traditionally Big Four: Man Utd, Arsenal, Chelsea, Liverpool (although Liverpool did not
win any Premier League title, their average league position is still higher than other
league winner such as Man City or Blackburn). Furthermore, at least within the scope of
this dissertation, it points out that the common stereotype about over-priced British
players is not necessarily true.
My research clearly has some limitations and it can be improved. First and foremost, it
would be optimal to establish an ELO-styled ranking system for all Premier League
clubs, with different weights for different competitions, instead of using plain points. This
ranking system should, generally speaking, reflect performances of Premier League
clubs better and it would provide a more exact view about the correlation between
transfer spending and success.
Then, it would be very useful and interesting to test the invariance proposition of Coase
Theorem using pre-Bosman and post-Bosman data. According to Coase Theorems
invariance proposition, the same outcome will happen regardless of the property rights
distribution. In the context of football transfer market, that means the movement of
football players during post-Bosman (free agent) era will be the same as pre-Bosman
era. I will hope for further analysis with much curiosity.
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MSc International Money and Banking
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