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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Towards a Reference Ontology of Money: Monetary Ob jects, Currencies and Related Concepts</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Glenda Amaral</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tiago Prince Sales</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giancarlo Guizzardi</string-name>
          <email>giancarlo.guizzardig@unibz.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniele Porello</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nicola Guarino</string-name>
          <email>nicola.guarinog@cnr.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Conceptual and Cognitive Modelling Research Group (CORE), Free University of Bozen-Bolzano</institution>
          ,
          <addr-line>Bolzano BZ 39100</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>ISTC-CNR Laboratory for Applied Ontology</institution>
          ,
          <addr-line>Trento</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>170</fpage>
      <lpage>178</lpage>
      <abstract>
        <p>Money is so ever-present in modern life that we usually take its existence for granted. Financial crisis like the recent one in 2008 are signi cant alerts about the importance of money and nance. Having a clear understanding of the concepts on the nance domain is fundamental to gure out the evolution of the economy before innovations in the Finance Industry. This research aims at addressing these issues by investigating the conceptual foundations of money, grounded in the Uni ed Foundational Ontology and based on the literature review of the most relevant economic theories.</p>
      </abstract>
      <kwd-group>
        <kwd>Money Currency Uni ed Foundational Ontology</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Money permeates most aspects of life in modern societies. \Despite its immense
contribution for economic performance, we tend to be oblivious towards the
infrastructures that support the operation of the monetary system. As it is often
the case with infrastructures, whether social or technological, they remain
invisible as long as they operate and ful ll their functions. In case of accident,
disruption or crisis, their breakdown makes them visible and raises concerns and
questions about their operation" [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
      </p>
      <p>
        Having an integrated view that shares a common conceptualization of the
nance domain is paramount in a number of activities required to ensure the
proper functioning of the nancial system [
        <xref ref-type="bibr" rid="ref2 ref22">2, 22</xref>
        ], such as the formulation of
monetary policy, the safe-guarding of nancial stability, and the maintenance of
trust in the monetary system. The lack of conceptual clarity hinders the
analysis of business data, the communication among various economic and nancial
actors, the enactment of laws and regulations, the mitigation of risks, and the
achievement of an appropriate common governance model.
      </p>
      <p>
        In the last years, there has been a growing interest, within the nancial
sector, in the adoption of ontology-based conceptual models to make the nature
of the conceptualizations explicit [
        <xref ref-type="bibr" rid="ref22 ref8">8, 22</xref>
        ], as well as to safely establish the correct
relations between them. An example is the Financial Industry Business Ontology
(FIBO), \an industry standard resource for the de nition of business concepts in
the nancial services industry" [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Although FIBO includes a Currency Amount
Ontology, it is not comprehensive and only marginally touches the notions of
money and currency. For example, concepts related to money functions, types
of money, legal aspects and trust are not explored in this ontology.
      </p>
      <p>
        Despite the wide number of e orts to create a uni ed view of the reality
related to economic and nance domains [
        <xref ref-type="bibr" rid="ref3 ref8 ref9">3, 8, 9</xref>
        ], no formal model, signi cant
enough, has been developed to accurately describe the semantics regarding the
world of money and currencies. This research aims at tackling these issues by
investigating the ontological nature of money and of its underlying concepts,
grounded in the Uni ed Foundational Ontology (UFO) [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], based on the
literature review of the most relevant economic theories and considering the
innovations in the Finance Industry. In this paper we present and describe the ongoing
work towards a Reference Ontology of Money, with an initial focus on money
objects, currencies and related concepts.
      </p>
      <p>The remainder of this paper is organized as follows. First, in Section 2, we
discuss the ontological nature of money and currencies as described in the
literature. In Section 3 we present our proposal, an initial version of the Reference
Ontology of Money. We conclude in Section 4 with some nal considerations.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>On Money</title>
      <sec id="sec-2-1">
        <title>The Origins of Money</title>
        <p>
          Two leading schools of thought present fundamentally di erent arguments
regarding the origins of money. A classic theory, known as the commodity theory of
money was defended by many classical economists like Carl Menger [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], Georg
Simmel [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] and Ludwig von Mises [
          <xref ref-type="bibr" rid="ref28">28</xref>
          ]. They claim that \when the conditions
for exchange outside the family arose, with an increased division of labor, a
medium of exchange was introduced in order to facilitate the exchanges through
indirect exchange. With time and the sophistication of society, these initial forms
of media of exchange evolved from some merchandise, such as cattle or salt, to
metals, and later coined metals until human societies reached the stage of at
money that we have today" [
          <xref ref-type="bibr" rid="ref29">29</xref>
          ]. The commodity theory has also been referred to
as the catallactic theory, an expression derived from the Greek for \to exchange"
[
          <xref ref-type="bibr" rid="ref28">28</xref>
          ], and as the metallist theory [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ], as precious metals were supposed to have
been historically used as exchange media.
        </p>
        <p>
          Alternatively, there are those who argue that money is a social construction
in lieu of a physical commodity [6, 16{19]. This view is known as the credit
theory of money. According to this theory, money is merely a token of a \credit
relationship, a promise from someone to grant (or repay) a favor (e.g. a product,
a service) to the holder of the token" [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. In order to function as money, the
promise must be su ciently credible, that is, the issuer must be creditworthy
and the credit needs to be transferable. \It is commonly thought that the most
creditworthy issuer of money is the state" [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], and the view that only the state
can issue money is known as chartalism, or the state theory of money [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ].
2.2
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Forms of Money</title>
        <p>
          Historically, money has taken on scores of forms, from tobacco, salt and shells
to large circular stone discs. Early money was usually a commodity money, that
is, an object considered valuable itself. \The commodity can be gold, silver,
squirrel pelts, seashells, or whatever a community decided. In its simplest form,
commodity money is like barter. People trade one type of object for goods and
services" [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ]. \Around the eighteenth century, commodity-backed money started
to be used, which consisted of items representing the underlying commodity (e.g.
gold certi cates). These pieces of paper were not valuable themselves, but they
could be exchanged for a xed quantity of the underlying commodity. The main
advantages of this system were the portability of the money and that larger
amounts of money could be transferred"[
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
        <p>
          \Modern economies are typically based on at money, which is similar to
commodity-backed money in its appearance, but radically di erent in concept,
as it can no longer be redeemed for a commodity. Fiat money is any legal tender
designated and issued by a central authority. It is only really money because
some authority says it is money" [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ].
2.3
        </p>
        <p>
          Status Function and Trust
\Human beings have a special capacity, which is that they can impose functions
on objects and other people where the function is not performed in virtue of the
physical features of the person or object (or at least not the physical features
alone), but it is performed in virtue of the fact that a certain status has been
assigned to the person or object" [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ]. This status, also known as status
function, assigns a function that can be performed only in virtue of the collective
acceptance or recognition of that status in the community in question. Status
functions are all created by a certain type of speech act that Searle [
          <xref ref-type="bibr" rid="ref23 ref24">23, 24</xref>
          ] named
declaration, where you make something the case by declaring it to be the case.
According to Searle [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] \money always requires a declaration whereby some
representation makes it the case that it is money. It is this status that makes
money valuable and guarantees its acceptability". For example, a twenty-euros
banknote ts this de nition because it does have a de nite status of being a
twenty-euros banknote in Europe. People are willing to accept it in exchange
for goods and services because they trust the monetary system that support
this status function. In [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ], Castelfranchi and Falcone state that \trust is the
presupposition of money": originally money relies on the trust of the
individuals accepting a monetary item as an instrument to indirectly acquire a certain
amount of desirable goods [
          <xref ref-type="bibr" rid="ref29">29</xref>
          ]. Trust is therefore a crucial element of every
monetary system.
2.4
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>Functions of Money</title>
        <p>
          Although the format of money has changed considerably over time, the functions
of money remain unchanged. \Behind the diverse forms of money there is a
common intension, an unchanging core of meaning" [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ] that de nes what money
is. From the wide number of de nitions proposed in the literature, it is possible
to deduce a consensus in economics that this core set of identity-constituting
properties is related to the three di erent functions of money, namely:
{ medium of exchange: a means of payment with a value that everyone
trusts; \money is used as an intermediary in trade to avoid the
inconveniences of a barter system, i.e. the need for a coincidence of wants between
the two parties involved in the transaction"[
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. Borrowing an example from
[
          <xref ref-type="bibr" rid="ref23">23</xref>
          ], the statement \I bought this shirt for 20 euros" reports the use of money
as a medium of exchange.
{ a unit of account: \money acts as a standard numerical unit for the
measurement of value and costs of goods, services, assets and liabilities" [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. An
example, mentioned in [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ], that reports the use of money as a measure of
value is the statement \My car is worth 10,000 euros".
{ a store of value: \money can be saved and retrieved in the future" [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. The
statement \I have 1,000 euros in my bank account" [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] reports the use of
money as a store of value.
2.5
        </p>
      </sec>
      <sec id="sec-2-4">
        <title>Currency and Legal Aspects</title>
        <p>
          The Oxford Dictionary [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] de nes currency as \the system of money that a
country uses". The word currency \derives from Latin terms for running and owing,
and is since the seventeenth century used for the circulation of money, divided
into speci c monetary systems that are linked to nation states" [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]. According
to Papadopoulos [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ], \currency represents and communicates the idea of money
in our day-to-day transactions, attaching a set of visual representations to the
identity of economic value".
        </p>
        <p>
          A legal tender is anything recognized by law that can be used to pay
contractual debts. Countries specify which objects are considered legal tender for
debts that are subject to its contract law. In most of them, the national
government is the only party authorized to produce and distribute physical currency
in its geographical area of control. The government also regulates the
production of non-physical currency by banks through its monetary policy, usually
implemented via the central bank. In some countries, alternate currencies are
permissible, but only the nationally sponsored currency has the status of legal
tender. And in still other countries a foreign produced currency is both
acceptable currency and legal tender. For example, in the countries of the euro area,
only euro banknotes and coins are legal tender and therefore, by law, must be
accepted as payment for a debt within those countries. According to the Article
128 of the Treaty on the Functioning of the European Union [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ]: \The
European Central Bank (ECB) shall have the exclusive right to authorise the issue of
banknotes within the Union. The ECB and the national central banks may issue
such notes. The banknotes issued by the ECB and the national central banks
shall be the only such notes to have the status of legal tender within the Union".
2.6
        </p>
      </sec>
      <sec id="sec-2-5">
        <title>Money Dynamics and Exchange Value</title>
        <p>As previously mentioned, status functions, which can be expressed in terms of
laws, specify which objects are considered money. These monetary objects have
an associated exchange value, which allows them to be exchanged for something
(e.g. goods or services) with the same exchange value. Exchange value can be
de ned as the ratio in which one commodity exchanges for another. It represents
the worth of one good or service expressed in terms of the worth of another. In
modern economies, money emerges as a neutral commodity in which all other
commodities express their exchange values.</p>
        <p>In this context, agents holding the control of monetary objects have the power
to carry out economic transactions in the amount corresponding to its exchange
value. As the exchange value of goods and services can change, in uenced by the
economic environment and the dynamic of the system of prices, the purchasing
power associated with these economic transactions also changes. It means that
the exchange value of the transaction that the agent manages to carry out
remains the same (and is equal to the exchange value associated to the monetary
object under his control), however, the quantity of goods and services that he
manages to get with that value will vary, depending on the exchange value of
these commodities.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>The Reference Ontology of Money</title>
      <p>
        In this section we use the aforementioned theories to present a preliminary model
of the Reference Ontology of Money, which was designed taking as basis the
Unied Foundational Ontology (UFO). UFO is a foundational ontology developed
with an interdisciplinary approach, inspired by Formal Ontology, Philosophical
Logic, Linguistics, and Cognitive Psychology. It consists of three main parts:
UFO-A [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], an ontology of endurants (objects) UFO-B [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], an ontology of
events (perdurants), and UFO-C [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], an ontology of social entities built on the
top of UFO-A and UFO-B. For an in-depth discussion and formalization, one
should refer to [
        <xref ref-type="bibr" rid="ref11 ref15">11, 15</xref>
        ]. The Reference Ontology of Money is based upon the
usage of the OntoUML language [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], an ontological extension of UML that
incorporates the foundational directions in UFO. We formalize the concept of
money in the OntoUML model depicted in Fig. 1. In this diagram, we represent
types of substantials in pink, relations in green and modes in blue. We also use
the OntoUML semantics of sortals and non-sortals proposed in [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>In our analysis, we rely mainly on some concepts de ned in UFO-C. A basic
distinction in UFO-C is related to agents and (non-agentive) objects. An agent
is a specialization of a substantial individual (existentially independent objects)
that can be classi ed as physical (e.g., a person) or social (e.g., an
organization, a society). Objects are non-agentive substantial individuals that can also
be categorized in physical (e.g., a book) and social objects (e.g., language).</p>
      <p>
        We model the Status Function Description that de nes certain types
of objects as money and guarantees their acceptability as a type of Normative
Description. UFO-C de nes Normative Description as a type of Social
Object that de nes one or more rules/norms recognized by at least one social
Agent and that can de ne nominal universals such as social moment universals
(e.g., social commitment types), social objects (e.g., the crown of the King of
Spain) and social roles (e.g., president, or pedestrian). Examples of normative
descriptions include the Italian Constitution, the University of Bolzano PhD
program regulations, and also a set of directives on how to perform some actions
within an organization. In the nance domain, the Treaty on the Functioning
of the European Union [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] is an example of Status Function Description,
which de nes euro banknotes and coins as legal tender money in the countries
of the euro area.
      </p>
      <p>The entity Monetary Object Type represents the types of objects that are
considered money according to a Status Function Description. Historically,
di erent types of objects have been used as money in all its manifestations, such
as (i) tobacco, salt, among others, used as commodity money (money in the
form of objects considered valuable), (ii) banknotes and paper certi cates, used
as commodity-backed money (money backed by an underlying commodity such
as gold), and (iii) banknotes, coins and bank deposits in electronic format, used
as at money (money which is not backed by anything).</p>
      <p>In the ontology, Monetary Object represents instances of Monetary
Object Types and stands for the objects that are considered money according to
a certain Status Function Description. The Monetary Object Nominal
Value corresponds to the nominal value (also known as face value) stamped on
the Monetary Object by the issuing authority.</p>
      <p>Valid Monetary Object and Not Valid Monetary Object represent
two di erent phases of the Monetary Object's life cycle. For example, new
banknotes are not considered valid until they are released and put into public
circulation. Likewise, damaged banknotes are not considered valid and must be
destroyed.</p>
      <p>
        We represent the quantitative perspective of money by means of the
Monetary Object Exchange Value. This property is speci c to valid monetary
objects as only they can be exchanged for goods and services in the economy.
The exchange value of a Valid Monetary Object is equal to its nominal
value. In the ontology, both the Monetary Object Nominal Value and the
Monetary Object Exchange Value are represented as qualities inhering in
the Monetary Object and in the Valid Monetary Object, respectively. In
UFO, a quality is an objecti cation of a property that can be directly evaluated
(projected) into certain value spaces [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. It is possible to compare qualities, as
well as to establish equivalence relations and mappings of values among di erent
value spaces. Both the exchange value and the nominal value of a Monetary
Object are modeled as qualities that have a value in a Currency conceptual
space. Euro and US Dollar are examples of Currencies. Currency conversions
using exchange rates are examples of mappings of values among di erent value
spaces.
      </p>
      <p>As argued in the previous section, when an agent holds the control of a valid
monetary object she is endowed with the power to make economic transactions
in the amount corresponding to its exchange value. We capture it by means of
the objecti ed relationship labeled Control, between Valid Monetary
Object and Agent. The Exchange Power to carry out economic transactions
inheres in the Agent and is grounded on the Control relationship. It assumes
a value in a Currency conceptual space, which is equal to the exchange value of
the Valid Monetary Object. Finally, the Exchange Power has an
underlying Purchase Power that corresponds to the quantity of goods and services
that the Agent manages to get with that Exchange Power. As previously
discussed, the Purchase Power depends on the Exchange Value of goods
and services.</p>
      <p>In the ontology, objects considered valuable, such as goods and services,
are modeled as Value Bearers. We model the Exchange Value of these
commodities as a quality value that is \attached" to a Value Bearer, as
a result of an assessment made by an Agent. The relationship Exchange
Value Ascription represents this assessment. We are aware that the current
ontology does not provide a deep analysis of the concept of exchange value. This
analysis fall outside the scope of this paper, as our focus is the modeling of the
relationship between money and exchange value. We plan to address this issue
by future research.</p>
      <p>It is woth mentioning that Monetary Objects are also considered Value
Bearers as they can be traded in the economy as regular commodities, like
collectible items. For example, some rare banknotes are traded by banknote
collectors at far more than their nominal (or face) value. Even valid banknotes
in circulation can be traded as collectible items at a value above their face value.
However, for the acquisition of goods and services in the economy, a banknote
functions as a means of exchange and will always be worth its face value.</p>
      <p>
        It is clearly recognized in the literature that trust is a crucial element for
the well functioning of any monetary system [
        <xref ref-type="bibr" rid="ref21 ref23 ref29 ref4">4, 21, 23, 29</xref>
        ]. We make use of the
concepts and relations de ned in the Reference Ontology of Trust (ROT) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]
to model the relation between money and trust. ROT formalizes the general
concept of trust and distinguishes between two types of trust, namely, social
trust and institution-based trust. The latter builds upon the existence of shared
rules, regularities, conventional practices, etc. and is related to social systems [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
like the Monetary System. According to ROT, Institution-based Trust
is a specialization of Trust in which the Trustee is a social system. In our
ontology the entity Institution-Based Trust represents the Trust of the
society (a social Agent) in the Monetary System.
In this paper, we presented an initial proposal for a Reference Ontology of Money.
We investigated the ontological nature of money and currencies and formalized
these concepts in an OntoUML model. We believe this work clari es the notion
of money, which can serve as a basis for future business ontologies. As a next
direction, we plan to further validate our ontology and expand our analysis to
account for additional technological innovations in the Finance Industry, like
the advent of cryptocurrencies [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. We also plan to integrate it to well-known
ontologies in the nance domain (e.g. FIBO).
      </p>
    </sec>
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