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<p class="MsoTitle"><span style="font-family:"Times New
Roman","serif"">Colloqui
Classe di Scienze<o:p></o:p></span></p>
<p class="MsoTitle" style="text-align:left" align="left"><span
style="font-size:
10.0pt;font-family:"Times New
Roman","serif""><o:p><span
style="text-decoration: none"> </span></o:p></span></p>
<h2><span style="font-family:"Times New
Roman","serif";mso-no-proof:yes">Mercoledė
16 ottobre 2013</span><span style="font-family:"Times New
Roman","serif""><o:p></o:p></span></h2>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">ore <span
style="mso-no-proof:yes">15:00</span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><u><span
style="font-size:16.0pt;
font-family:"Times New Roman","serif"">Scuola
Normale Superiore<o:p></o:p></span></u></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">Pisa<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">(Sala Azzurra)<o:p></o:p></span></p>
<p class="MsoNormal"
style="mso-margin-top-alt:auto;text-align:center" align="center"><b
style="mso-bidi-font-weight:normal"><span
style="font-size:24.0pt;
font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US">Prof. Damiano
Brigo</span></b><span style="font-family:"Times New
Roman","serif""><o:p></o:p></span></p>
<p class="MsoNormal"
style="mso-margin-top-alt:auto;text-align:center" align="center"><i
style="mso-bidi-font-style:normal"><span
style="font-family:"Times New
Roman","serif";
mso-ansi-language:EN-US" lang="EN-US">Imperial College,
London, UK</span></i><i style="mso-bidi-font-style:normal"><span
style="font-family:"Times New
Roman","serif""><o:p></o:p></span></i></p>
<p class="MsoNormal"
style="mso-margin-top-alt:auto;text-align:center" align="center"><i
style="mso-bidi-font-style:normal"><span
style="font-size:8.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></i></p>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif"">Terrā un seminario
dal titolo:<o:p></o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><span
style="font-size:10.0pt;
font-family:"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><span
style="font-size:10.0pt;
font-family:"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:center" align="center"><b
style="mso-bidi-font-weight:
normal"><i style="mso-bidi-font-style:normal"><span
style="font-size:22.0pt;font-family:"Times New
Roman","serif";mso-ansi-language:
EN-US" lang="EN-US">“</span></i></b><b
style="mso-bidi-font-weight:normal"><span
style="font-size:22.0pt;font-family:"Times New
Roman","serif";mso-ansi-language:
EN-US" lang="EN-US">The ongoing revolution in financial
modeling and the possible end of
platonic pricing: a stochastic analysis approach to credit and
funding
liquidity risk<i style="mso-bidi-font-style:normal">”</i><o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b
style="mso-bidi-font-weight:
normal"><i style="mso-bidi-font-style:normal"><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US">Abstract:</span></i></b><b
style="mso-bidi-font-weight:normal"><i
style="mso-bidi-font-style:normal"><span
style="font-size:11.0pt;font-family:"Times New
Roman","serif";
mso-ansi-language:EN-US" lang="EN-US"><o:p></o:p></span></i></b></p>
<p class="MsoNormal" style="text-align:justify"><i
style="mso-bidi-font-style:
normal"><span style="font-family:"Times New
Roman","serif";
mso-ansi-language:EN-US" lang="EN-US">The market for financial
products and derivatives
reached an outstanding notional size of 708 USD Trillions in
2011, amounting to
ten times the planet gross domestic product. Even discounting
double counting,
derivatives appear to be an important part of the world
economy and have played
a key role in the onset of the financial crisis in 2007. We
introduce the
Nobel-awarded option pricing paradigm by Black Scholes and
Merton, hinting
at precursors such as Thales, Bachelier and De Finetti. We
explain
how the self financing condition coupled with Ito's formula
lead to the Black
Scholes Partial Differential Equation (PDE) for basic option
payoffs. We hint
at the Feynman Kac theorem that allows to interpret the Black
Scholes PDE
solution as the expected value under a risk neutral
probability of the
discounted future cash flows, presenting the detailed solution
for Call Options
on equity, and highlighting the fundamental fact that the
option price does not
depend on the expected rate of return of the related
underlying asset. Finally,
we embed this theory in the recent financial landscape,
re-discuss its
assumptions and present a high level view of current issues in
financial
modeling, especially funding liquidity costs and credit risk,
leading to an
intuitive description of Nonlinear PDEs, recursive equations
and Backward
Stochastic</span></i><span style="font-family:"Times New
Roman","serif";
mso-ansi-language:EN-US" lang="EN-US"> <i
style="mso-bidi-font-style:normal">Differential
Equations (BSDEs). In a provocative conclusion, the challenges
of recursive,
holistic and aggregation-dependent nonlinear pricing
algorithms are
highlighted, and we explain how this may finally relegate
Platonic pricing to
history books, an awareness that, ironically, industries
different from the
financial one have shown for a long time. <o:p></o:p></i></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:16.0pt;
font-family:"Times New Roman","serif"">Tutti
gli interessati sono invitati a
partecipare.<o:p></o:p></span></p>
<p class="MsoNormal"><i style="mso-bidi-font-style:normal"><span
style="font-size:16.0pt"><o:p> </o:p></span></i></p>
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<pre class="moz-signature" cols="72">--
--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
Tel. 050-509260
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</a>
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:classi@sns.it">classi@sns.it</a>
Le informazioni contenute nella presente e-mail e nei relativi allegati possono essere riservate e sono, comunque, destinate esclusivamente al destinatario in indirizzo.
E’ vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali informazioni da parte di qualsiasi soggetto diverso dal destinatario.
Chiunque abbia ricevuto o letto questa e-mail per errore o senza esserne legittimato č invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
</pre>
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