Table 1
Composition of system dynamics model scenarios.
Table 2
Significance of the proposed scenarios.
Name
Description
Example
Stock
Number of athletes available to the club;
U17
Transition Flow
Migration of athletes to different levels in the club;
Stock U16 -» U17
Input Flow
Athletes acquired from other clubs, schools, new athletes;
Entry U17
Abandonment Flow
Athletes who give up playing for the club;
U17 Abandonment
Converter Number of athletes sold
Training athletes marketed by the club;
No. U17 Athletes sold
Rate Converter
Indexes adopted for calculation of variables
Rate U17 Abandonment
Investor Converter/ Do not invest Junior
Decision leverage points
Name
Description
Stock U17
Number of athletes available to the club;
Inventory Value Athlete Prof. BR or U17
Value of the federative right of the athlete (intangible);
Clean Flow
Process used to maintain the updated value of the Athlete Value stock;
Flow Athlete Value
Calculation of the value of the federative right of the athlete updated annually;
Sales Gross Revenue Flow
Gross amounts generated from the sale of federative rights of athletes;
Net Sales Revenue Flow
Net amounts generated from the sale of federative rights of athletes;
Sold Athletes Flow
Number of athletes sold in Brazil and internationally
Converter Number of athletes sold
Training athletes marketed by the club;
Rate Converter
Indexes adopted for calculation of variables
Converter release all existing athletes
Decision leverage points
Name
Description
Professional Stock (Prof.)
Number of athletes available to the club
Flow Athletes bought
Athletes bought by the club and at no cost
Loan return Flow
Athletes returning to the club after a loan period to other clubs
Retired/Dismissed Flow
Athletes dismissed by the club or dropouts
Loaned Flow
Athletes on loan to other clubs
Flow Sold
Athletes sold in Brazil and internationally
Rate Converter
Indexes adopted for calculation of variables
Reference Model
Objective
Equation
System dynamics model Junior Categories Module;
Entries in the base category of the club under study.
Input=(Ifi=1 Then Ifj30 Then 0 Else INTj+j2+k-l-mElse 0)(02)
Where:
e: admission of new athletes to junior categories; i: to invest or not to invest in junior categories; j: number of athletes in each junior category; k: transition between the junior categories; l: abandonment of athletes in each category; m: number of athletes sold in each category.
Athletes Sell Value Module;
marketing of federative rights of athletes
RLVA=A*(TXMS)*(TXRT)03
Where:
A: athlete sales gross revenue; RLVA: net revenue from athlete sales; TX: rate; SM: solidarity mechanisms; RT: amounts transferred to third parties;
RBVA=C*INT(B) (A)
Where: A: athlete value; B: number of athletes sold; INT: integer; RBVA: gross revenue from athlete sales;
NAV=(Sub17*TxRandom0,2)(B)
Where: NAV: number of athletes sold; U17: Junior category; Tx: rate.
V
A
t
l
e
t
a
=
(
V
A
P
S
M
*
M
C
F
*
M
*
A
T
*
T
X
C
V
A
(C)
Where:
AT: athlete's transition years between categories; CVA: growth in the athlete's value; M: number of annual months; TCM: training cost multiplication index; MW: minimum wage; TX: rate; VAthlete: athlete value; VAP: partial athlete value.
Modulesystem dynamics model hotel income and expenses
gross hotel revenue: consists of the entries “average hotel revenue per game,” “guest extras,” and “number of games”
RBH=rmj+reh*INT(nj) (05)
Where: RGH: gross hotel revenue; rmj: average hotel revenue per game; reh: extra revenue from guests; nj: number of games played by the club in the city.
Source
Category
Description
System dynamics model -EF variable
Football Club - Series A of the Brazilian Championship
Club balance sheets
Club reports support the construction of the model modules and the decisions made
SI; AVS; Junior Categories Structure; Liabilities and assets; Membership; Club sales; others described in the balance sheet
Globo.com. (2016).
Average stadium audience
The news in question presents the figures for average audience in the stadium and visitors, in addition to average ticket values
Third party Gain matches (average audience;
Average ticket value
Ticket value) and hotel (average number of guests)
Transfermarkt GmbH Co. KG. (2018).
Player values
The website displays the market values of players
Professional Athlete Value
Brasil. (1998).
Football Rules
Rules underpin the practice of football in Brazil and the financial organization of clubs
Athlete Value Junior Categories; junior Categories Structure
Brasil. (2006).
Brasil. (2015).
Confederação Brasileira de Futebol (2015).
Brazilian Series A Championship Regulations
The regulations justify the practice of football in Brazil
Amounts related to transmission revenues
Confederação Brasileira de Futebol (2017).
GloboEsporte.com (2017b).
Awards for South American Championship
The news brings the amounts to be paid to the clubs participating in the competition
Amounts related to transmission revenues
Hernan et al. (2017).
Libertadores Championship Award
The news brings the amounts to be paid to the clubs participating in the competition
Amounts related to transmission revenues
Federação Gaúcha de Futebol (2018).
Gaucho Championship Regulation
The regulation underlies the practice of football in Rio Grande do Sul
Amounts related to transmission revenues
GloboEsporte.com (2017a).
Brazilian Championship Award
The news brings the amounts to be paid to the clubs participating in the competition
Amounts related to transmission revenues
Diretoria de Competições. (2016).
A-2016 Series Club Balance Sheets
The reports of clubs listed in the regulations of the Series A 2016 Brazilian Championship were analyzed to identify the values of royalties broken down in them
Royalties
Rodrigues et al. (2014).
Hotel information
The study addresses the use of cost accounting as a management tool applied to hotel activities
Hotel revenue structure
Brasil (2018).
Hotel information
The report addresses the rate of growth in the value of hotel rates
Hotel revenue structure
No.
Variables and abbreviations of the model
Decision
Estimated value
Value generated by the model
01
Revenue from sport activity (Gross Operational Revenue Or GR)
Sale/Loan Athletes
-
X
Equity
-
X
Football Games
RANDOM (100;130)
-
Transmission
-
X
Advertising
-
X
02
Cost of sport activity (Cost Activity or CA)
Compensation, benefits/charges (Remuneration)
-
X
Comp./Part. of athletes and commissions
-
X
Amortization of rights of professional athletes
-
X
Travel expenses
-
X
Federation, images, services expenses (Federation expenses image)
-
X
Exp. Arena membership tickets (Arena supporter expenses)
RANDOM (-18,000;-19,000)
-
03
Surplus/Gross deficit of sport activity (Gross surplus)
-
X
04
Other Operating Revenues (Other Op Revenues Or OOR)
Royalties
-
X
Gross Grêmio Mania
-
X
ICMS Grêmio Mania
-
X
CMV Grêmio Mania
-
X
Sales Dev. Grêmio Mania (Sales return)
-
X
05
Other Operating Expenses (Other Op. Ex. Or OOE)
General expenses/ADM
RANDOM (-17,899;-22,494)
-
Third party services
RANDOM (-10,253;-12.300)
-
Tax/contr. Federal (Contributed taxes)
RANDOM (-6,358;-8374)
-
Legal contingencies
RANDOM (-8,321;-11.497)
-
Rentals, insurance... (Rentals)
RANDOM (-3,608;-4,067)
-
Depreciation of fixed assets
RANDOM (-2,635;-3,116)
-
Water, Light, Telephony...
RANDOM (-2,821;-3,736)
-
06
Other Operating Surpluses (Other Op. Supluses Or OOS)
Indemnity contractual fines
RANDOM (550,750)
-
Sale of fixed assets
RANDOM (7,9)
-
Donations
RANDOM (550,740)
-
Contractual facilitating payments
RANDOM (16,671;17,000)
-
Recovery expenses
RANDOM (6,037;7,462)
-
Arena Project Expenses (Exp. Arena Project)
RANDOM (-242;-300)
-
07
Other Net Operating Income/Expenses (Non-operating surplus)
-
X
08
Financial income (Financial Revenue Or Rfin)
-
RANDOM (6,688;10,192)
-
09
Financial Expenses (Financial expenses or FExp)
Finan. Exp.
-
X
Bank Expenses
-
X
Interest on loans
-
X
Installment interest
-
X
Monetary variation
-
X
Debt Service
-
X
10
Financial Result
-
X
11
Surpluses / Deficit for the fiscal year (Income for fiscal year)
-
X