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<div class="moz-cite-prefix">Il 07/10/2013 11:11,
<a class="moz-txt-link-abbreviated" href="mailto:valeria.giuliani@sns.it">valeria.giuliani@sns.it</a> ha scritto:<br>
</div>
<blockquote cite="mid:52527AA7.2080805@sns.it" type="cite">
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charset=ISO-8859-15">
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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 moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</a>
E-Mail: <a moz-do-not-send="true" 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>
</blockquote>
<br>
<br>
<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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