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Art of Finance Benutzerhandbuch

 

 

Version 3.0, September 2009

 <= /p>

THE ULTIMATE GUIDE THROUGH THE INDEX-GALAXY

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Email: support@= art-of-finance.net

URL:    www.art-= of-finance.net


&nb= sp;

Table of Contents

Table of Contents.. 3=

1      Einleitung.. 5=

1.1&= nbsp;      Ertrag und Risiko.. 5

1.2&= nbsp;      Überb= lick über Art of Finance.. 6

2   &nbs= p;  Art of Fin= ance – Hauptfenster.. 7=

2.1&= nbsp;      Menül= eiste.. = 7

2.2&= nbsp;      Pull down Menüs. 8

2.3&= nbsp;      Instrument= selektor. <= /span>11

2.4&= nbsp;      Spaltensel= ektion.. = 12

2.5&= nbsp;      Baumstrukt= urmenü.. = 13

2.6&= nbsp;      Suchfunkti= on.. = 14

2.7&= nbsp;      Datum und Währung.. 14

2.8&= nbsp;      Ertrags- u= nd Risikoanalyse.. 15

2.9&= nbsp;      Risikoanal= yse Menü.. 16

Effizienzkurve berechnen. <= /span>16

Real-time Marktanzeige. <= /span>17

Historische Datenanzeige. <= /span>18

Ertrags- und Risikodetails. <= /span>19

Portfolio-Optimierung. 21

2.10     Historische Simulation.. 23

3   &nbs= p;  Positionss= elektor.. = 24=

3.1&= nbsp;      Parametere= ingabe.. = 24

3.2       Emittentenselektor. 25

3.3&= nbsp;      Basketselektor. 25

3.4       Buchdialog.. 26

3.5       Risikoanalyse.. 27

4   &nbs= p;  Einstellun= gen.. = 30=

4.1&= nbsp;      Risikoeins= tellungen.. = 30

4.2&= nbsp;      Tabellenan= sicht. <= /span>31

4.3&= nbsp;      Datenreihe= n.. = 31

5   &nbs= p;  Historisch= er Daten Viewer.. 33=

5.1&= nbsp;      Zinskurve<= /span>.. = 33

Datenauswahl 33

Anzeigeeinstellungen= . <= /span>34

5.2&= nbsp;      Zinshistor= ie.. = 37

Datenauswahl 37

Anzeigeeinstellungen. 37

5.2.1. 37

5.3&= nbsp;      Aktien.. = 40

Datenauswahl 40

Anzeigeeinstellungen. 40

5.4&= nbsp;      Devisen / Rohstoffe.. 44

Datenauswahl<= span style=3D'mso-bookmark:_Toc227741017'> 44

6   &nbs= p;  Bewertung<= /span>.. = 46=

 

1&nb= sp;            =       Einleitung<= /h1>

1.1=       =         Ertrag und Risiko

 

Investitionen jeglicher Anlagekategorie müssen stets unter zwei Gesichtspunkten analysiert werden – erwarteter Gewinn ("Performance") sowie= die inhärenten Risiken, d.h. die Möglichkeit, dass die Performance unterhalb der Erwartungen bleibt.  Während die Performance direkt als Gewinn bzw. Verlust pro Investment in Prozent gemessen werden kann, ist die Quantifizierung des Begriffs Risiko deutlich schwieriger.

 

Der meist verwendete Ansatz zur Risikomessung ist der sogenannte Value-at-Risk Ansatz, welcher sich mittlerweile zum Industriestandard entwickelt hat und meist durch historische Simulation berechnet wird. Die zugrundeliegende Idee ist dabei, die historisch beobachteten Wertveränderungen der verschied= enen Anlageklassen über einen gewissen Beobachtungszeitraum anzuwenden auf = das vorhandene Investmentportfolio. Beispielsweise wird man für eine besti= mmte Aktie im Portfolio die täglichen Wertveränderungen in Prozent (Renditen) der letzten 500 Handelstage auf den aktuellen Marktwert der Aktie anwenden, wodurch man 500 verschiedene Gewinn- und Verlustszenarien erhält. Aus diesen fiktiven Gewinnen und Verlusten lässt sich ein Histogramm erstellen, um die Gewinn- und Verlustverteilung der Aktie zu analysieren – s. Abbildung 1.

 

Abbildung = 1: Histogramm von 500 historischen Gewinn- und Verlustszenarien. Gewinne sind auf den rechten, Verluste auf der linke Seite aufgetragen. Die 99% Value-at-Risk Kennzahl gibt das fünftschlechteste Ergebnis unter 500 Szenarien an.

 

Im Allgemeinen wird das Value-at-Risk ("VaR") für ein bestimmtes sogenanntes Konfidenzniveau (typischerweise > 90%) und eine definierte Halteperiode berechnet. Letztere gibt die Zeitperiode der zugrundeliegenden historischen Renditen an; eine Halteperiode von einem Tag bedeutet beispielsweise, dass die historische Simulation tägliche Wertveränderungen (Renditen) verwendet, bei einer Halteperiode von ein= er Woche werden entsprechend wöchentliche Veränderungen appliziert. = Das Konfidenzniveau gibt das Quantil der sich ergebenden Gewinn-  und Verlustverteilung an; z.B. gib= t  eine 99%-VaR Kennzahl den potentie= llen Verlust an, der nur in 1% der simulierten Szenarien erreicht bzw. überschritten wird.

 

VaR ist somit  ein Risikomass, wel= ches auf der Annahme beruht, dass das in der Vergangenheit beobachtete Verhalten= der Finanzmärkte repräsentativ ist für das  zukünftige Risiko.=

 

Ziel von Investmentmanagement ist typischerweise, das Verhältnis aus Ertrag= und Risiko eines Portfolios zu optimieren, wobei wir im Folgenden Risiken mit d= em VaR Ansatz quantifizieren werden. Ein Vorteil von VaR ist die Möglichk= eit, Diversifikation innerhalb eines Portfolios zu quantifizieren, da das VaR ei= nes Portfolios (in der Regel) kleiner ist als die Summe der VaR-Kennzahlen der Einzelkomponenten, während die Erträge der Einzelkomponenten stri= kt additiv sind. D.h. Portfoliodiversifikation verbessert typischerweise das Verhältnis aus Ertrag zu Risiko.

 

Nach der nobelpreisgekrönten Portfoliotheorie von H. Markowitz ist das Ziel der Portfoliooptimierung die Erreichung der Effizienzkurve des Investmentportfolios, wie nachfolgend illustriert:

 

Abbildung 2: Beispiel eines Ausgangsportfolios (blau) und dessen Effizienzkurve. Das optimierte Portfolio (rot) liegt auf der Effizienzkurve= und bietet eine höhere erwartete Rendite bei gleichem Risiko (gemessen als Portfoliovolatilität).

 

 

1.2&= nbsp;           &nbs= p; Überblick über Art of Finance=

 

Art of Finance erlaubt die Berechnung von Gewinn und Verlust ("GuV") sowie Value-at-Risk  für Portfolios für verschiedene Halteperioden und Konfidenzniveaus. Zudem = kann der Anwender Portfoliodiversifikation innerhalb des Portfolios oder definie= rter Sub-Portfolios berechnen. Die VaR Berechnung basiert dabei auf einer histor= ischen Marktdatenbank für Aktien, Zinsen, Devisen und Rohstoffpreise, welche = in die Software integriert ist.

 

Zudem können verschiedene Derivate wie Swaps, Forwards und Optionen bewerten= und analysiert werden.

 

Für die Portfoliobewertung werden intra-day-Preise für Aktien, Rohstoffe u= nd Devisen aus der Finanzdatenbank von Yahoo (www.yahoo.com= ) verwendet, falls verfügbar. Ansonsten werden die jeweils letzt verfügbaren Daten aus der internen Datenbank verwendet.

 

Art of Finance ist eine Software, welche kostenfrei vom Internet bezogen werden kann und zwei Betriebsmodi kennt:

·      =   Nicht-Lizenzierter Modus: Dem Anwender hat die Möglichkeit, Art of Finance kostenlos einen Monat vollumfänglich zu testen.

·      =   Lizenzierter Modus: Falls der Anwender durch Bezug eines Lizenz-Passworts (erhältli= ch auf www.art-of-finance.net) registrierter Anwender von Art o= f Finance wird, kann die Software ein Jahr uneingeschränkt verwendet werden. Das Lizenz-Passwort muss jährlich erneuert werden.

 


 

2        &n= bsp;          Art of Finance – Hauptfenster

 

Art of Finance stellt dem Benutzer eine Reihe von Funktionen zur Verwaltung und Bewertung von verschiedenen Finanzinstrumenten sowie zur Gewinn und Verlust (GuV) Berechnung und Risikoanalyse zur Verfügung, welche über das Hauptfenster gemäß = Abbildung 3 angesprochen werden können.

<= span style=3D'mso-bookmark:_Toc231892180'> 

Abbildung 3: Art of Finance Hauptfenster.

 

 

 Das Hauptfenster beinhaltet folgende Funktionen bzw. Informationen:<= /span>

·         Die Menüleiste mit verschiedenen Funktionen zur Portfolioadministration

·         Instrumentselektor

·         Spaltenselektion

·         <= span style=3D'mso-bookmark:_Toc231892180'>Baumstrukturmen&= uuml;

·         Suchfunktion

·         = Datum und Währung

·         Ertrags- und Risikoanalyse<= /span>

·         Risikoanalyse Menü

 

 

2.1        =       Menüleiste

 

Die Menüleiste enthält die folgenden Auswahlknöpfe bzw. Funktionen (von links nach rechts) gemäß= Abbildung 1:

 

Date= iverwaltung:

·      =    Öffnen eines Portfolios von einer existierenden Datei. Der Anwender wird informiert, falls beim Laden Fehler auftreten, wobei Details in der Datei „LogA.txt“ = zu finden sind.=

·      =   Speichern des Portfolios unter dem existierenden Namen

·      =   Speichern unter neuem Dateinamen

·      =   Exportieren des Portfolios als Textdatei

·      =   Importieren eines Portfolios=

·  &n= bsp;     Version/Lizenz Information zu Art = of Finance

·  &n= bsp;      Einstellungen: Öffnet das Einstellungsfenster

·      =   Schließen der Datei

·  &n= bsp;      Programmende<= /span>

<= span style=3D'mso-bookmark:_Toc231892180'> 

<= span style=3D'mso-bookmark:_Toc231892180'> 

Port= folioverwaltung:

·      =   Neue Position: Öffnet den Positionsselektor um eine neue Position zu definieren =

·      =   Positionsdetails: Öffnet den Positionsselektor um die bestehende Position zu sichten bzw. modifizieren

·  &n= bsp;     Löschen der selektiert= en Positionen

·  &n= bsp;     Ausschneiden der selektierten Positionen in das Clipboard

·  &n= bsp;     Einfügen des Clipboard in das Portfolio

·  &n= bsp;     Kopieren der selektierten Positionen ins Clipboard

·  &n= bsp;     Aggregieren kongruenter Positionen in eine Nettoposition

·  &n= bsp;      Drucken der Positionstabelle

·      =    Suchen von Positionen, welche den eingegebenen String als Namen enthalten oder nach der eingegebenen Buchnumm= er – siehe Abschnitt Suchfunktion

·      =    Neubewertung des Portfolios anhand aktue= ller Marktpreise von Yahoo. (nur möglich wenn als Reportdatum das aktuellen Datum gewählt wurde)

 

 

Risikoanalyse und Portfoliooptimierung:

·      =    Real time Marktanzeige: Zeigt eine Tabelle von real-time Kursen für f&u= uml;hrende Aktienindizes und deren Komponenten sowie Wechselkurse und Rohstoffpreise. =

·      =    Historische Datenanzeige: Zeigt historische Kursverläufe für Aktien-, Zin= s-, Währungs- und Rohstoffmärkte.

·      =    Gewinn/Verlust und Risikoanalyse: Verschiedene Funktionen und  Charts zur Analyse von Gewinnen, Verlusten sowie des Risikoprofils (Value-at-Risk) des Portfolios.

·      =    Portfoliooptimierung: Portfolio Benchmarking zu verschiedenen führenden Aktien- und Zinsindi= zes sowie Auswahl risikoeffizienter Aktieninstrumente.=

·      =    Historische Simulation: Historische Simulation des Portfoliowerts sowie des Value-at-Risk über einen gegebenen Zeithorizont.

·      =    Effizienzkurve: Portfoliooptimierung basierend auf der Nobelpreisgekrönten Methode= von Harry Markowitz.

 

 

2.2=       =         Pull down Menüs

 

Die Pulldown Menüs enthalten im Wesentlichen die gleichen Funktionen wie in der Menüleiste aufgeführt, sind jedoch logisch folgendermaß= en in vier Menüs gruppiert:

·      =   Info öffnet das Lizenzfenster

·      =   Datei: Enthält alle Funktionen für die Dateiverwaltung:


 

 

·      =   Editieren: Enthält alle Funktionen für die Portfolioverwaltung.

 

·      =   Werkzeuge: Enthält alle Funktionen zur Risikoanalyse und Portfoliooptimierung:

 

·      =   Anzeige: Ermöglicht dem Anwender die folgenden Komponenten im Hauptfenster aus- bzw. einzublenden:

 

Der Anwender kann hierbei die Menüleiste sowie die Risikoanalyseanzeigen ausblenden um sich auf die Positionstabelle konzentrieren zu können.

 

·      =   Präferenzen: Öffnet das Einstellungen Fenster.=

 


 

2.3&= nbsp;           &nbs= p; Instrumentselektor

 

Der Instrumentselektor gemäß Abbildung 3 enthält einen Auswahlbaum, anhand dessen der Anwender von der obersten Ebene (dem Gesamtportfolio) verschiedene Portfoliounterkategorien (Aktien, Zinsen, Devisen sowie Rohstoffe) sowie weitere Unterportfolios (z.B. Aktien, Futures, Optionen) auswählen kan= n. Für das ausgewählte Portfolioniveau werden die zugehörigen Positionen in der Positionstabelle dargestellt. Zudem werden die GuV und Risikoanalysetabellen sowie Graphiken automatisch angepasst, sodass diese d= ie relevanten Informationen für das ausgewählte Unterportfolio anzei= gen. Der Anwender kann die Auswahl weiter einschränken, indem er in der Positionstabelle eine Untermenge von Positionen auswählt, wie in = Abbildung 4 dargestellt.

 

Innerhalb der Positionstabelle kann der Anwender folgende Mausfunktionen verwenden:

·        Linke Maustaste: Selektiert Zeilen (d.h. Positionen), welche dann in gelb angezeigt werden, mit der Folge, dass die GuV sowie Risikoanalyse Tabellen und Graphiken automatisch an die getroffene Auswahl<= span style=3D'mso-spacerun:yes'>  angepasst werden.

·      =   Doppelklick linke Maustaste: Öffnet den Positionsselektor für die angewählte Position, um Details der Pos= ition zu sichten bzw. modifizieren zu können.

·        Mittlere Maustaste: Öffnet ein Pop-up Menü = mit Funktionen analog zu denen in der Menüleiste.

·        Rechte Maustaste: Hebt die Selektion von Positionen (markiert in gelb) in der Positionstabelle wieder auf.

 

<= /p>

Abbildung 4: Verwendung der Maus innerhalb der Positionstabelle= .

 

 

2.4        =       Spaltenselektion

 = ;

Im Allgemeinen enthält die Positionstabelle aufgrund der Existenz verschi= edenster Instrumente mit unterschiedlichen Attributen eine Vielzahl von Spalten, was= die Positionstabelle schnell unübersichtlich erscheinen lässt. Ist der Anwender nur an einer Untermenge der Attribute (=3DSpalten) der vorhandenen Positionen interessiert, so kann er die angezeigten Spalten mithilfe des Spaltenselektionsmenüs einschränken auf folgende Untermengen:

·      =   Alle anzeigen

·      =   Benutzerdefiniert – zeigt die Spalten an gemäß den Einstellungen des Anwende= rs im Menü Tabellenansicht

·      =   Positionsdaten: Zeigt alle Spalten an welche die statischen Attribute der Instrumente entha= lten (Coupon und Laufzeit einer Anleihe, Strike einer Option etc.)

·      =   Marktdaten: Zeigt alle Spalten an welche dynamische Daten enthalten (Underlying Preis e= iner Option, Volatilität, Zinssätze etc.)

·      =   Risiko und GuV: Zeigt alle Spalten an welche von Art of Finance berechnete Risiko-= und Ertragskennzahlen enthält.

 

Abbildung 5: Spaltenselektor.

 

 

2.5=       =         Baumstrukturmenü

In Art of Finance können Positionen in Bücher gruppiert werden, was = die Verwaltung grösserer Portfolios übersichtlicher gestaltet. Zudem können Bücher in einer Baumstruktur verwaltet werden, d.h. ausgeh= end vom Root-Portfolio welches das Gesamtportfolio darstellt kann der Benutzer verschiedene Bücher und Unterbücher in der Buchstruktur hinzufügen. Zur Verwaltung der Buchstruktur stehen vier Funktionen zur Verfügung:

·         Neues Buch: Erzeugt ein neues Buch welches das in der Tabelle selektierte Buch bzw. die selektierte Position enthält.

·         Aufwärts schieben: Das in = der Positionstabelle selektierte Buch wird innerhalb der entsprechenden Ebene e= ine Position nach oben verschoben.

·         Abwärts schieben: Das in d= er Positionstabelle selektierte Buch wird innerhalb der entsprechenden Ebene e= ine Position nach unten verschoben.

·         Ebene tiefer: Das in der Positionstabelle selektierte Buch wird in der Baumstruktur eine Ebene tiefer verschoben.

·         Ebene höher: Das in der Positionstabelle selektierte Buch wird in der Baumstruktur dem vorangehenden Buch als Unterbuch angehängt.

 

 

Folglich kann der Anwender über die entsprechenden Knöpfe zwischen zwei Mo= di wählen, um die Positionen im Portfolio anzeigen zu lassen: =

·      =    Listenansicht: Alle Positionen des Portfolios werden als eine unstrukturierte Liste angeze= igt, welche nach verschiedenen Kriterien (Spalten) sortiert werden kann.

·      =    Buchansicht: Positionen werden zu Büchern gruppiert angezeigt.  Jedes einzelne Buch kann dabei ent= weder in eine Zeile aggregiert (d.h. geschlossen) angezeigt werden, oder durch Doppelklick auf das Buchsymbol in der ersten Spalte geöffnet und mit a= llen einzelnen Positionen angezeigt werden. Sortieren durch Doppelklick auf entsprechende Spaltenköpfe sortiert dabei Positionen nur innerhalb jed= es Buchs.

o        Geöffnetes Buch

o        Geschlossenes Buch

 

 

Abbildung 6: Positionstabelle im Buchansicht Modus, bei der sämtliche Positionen in Bücher gruppiert werden, welche durch Doppelklick geöffnet und ge= schlossen werden können.

 

 

2.6&= nbsp;           &nbs= p; Suchfunktion

Neben der Auswahl von Unterportfolios anhand des beschriebenen Instrumentselektors kann der Anwender die Auswahl der Positionen in der Positionstabelle weiter einschränken, indem er im Suchfeld nach bestimmten Positionen sucht, w= obei zwei Suchmodi zur Verfügung stehen:

1.      Beginnt der = im Suchfeld eingegebene Text mit einem der mathematischen Operatoren “=3D”, “<” oder=   “>” gefolgt von einer ganzen Zahl (d.h. der eingegebe= ne Ausdruck entspricht einem mathematischen Vergleich), so werden nur Position= en angezeigt, deren Buchnummer die eingegebene Bedingung erfüllt. Gibt der Anwender beispielsweise „>4“= ein, so werden nur Positionen angezeigt, deren Buchnummer größer als vier ist.

2.      Andernfalls = wird die Auswahl in der Positionstabelle reduziert auf Positionen, welche im Feld “Name/Underlying” den spezifizierten Text enthalten.

 

In beiden Fällen wird das Selektionskriterium beibehalten wenn der Anwend= er andere Kriterien verändert, z.B. die Auswahl des Unterportfolios oder = die Auswahl anzuzeigender Spalten (s.u.). Um das Selektionskriterium aufzuheben, muss der Anwender das Suchfeld löschen und den Suchknopf betätige= n.

 

 

2.7&= nbsp;           &nbs= p; Datum und Währung

 = ;

Der Anwender kann in diesem Auswahlfeld das Datum sowie die Währung angebe= n, für welche sämtliche Ertrags- und Risikoberechnungen durchgeführt werden sollen. Ändern des Datums oder der Währu= ng führt zu einer unmittelbaren Neuberechnung des Ertrags sowie des Risik= os und zu einer entsprechenden Anpassung der GuV- und Risikotabellen und Graph= iken im Hauptfenster. Das jeweils effektiv zur Anwendung kommende Preisdatum pro Position wird im Detail beschrieben im Abschnitt Bewertung.=

 

Positionen welche bereits vor dem vom Anwender ausgewählten Reportdatum verfallen sind (z.B. Optionen, Anleihen) oder aber erst nach dem ausgewählten Reportdatum gekauft wurden (TradeDatum), werden in der Positionstabelle in grauer Farbe dargestellt, um anzuzeigen, dass zum gewählten Reportdatum die Positionen nicht existieren – siehe Abbildung 7. Diese Positionen werden in den Marktwert des Portfolios einbezogen (mit Bewertung zum Verfallsdatum bzw. TradeDatum), d.= h. sie werden in allen GuV sowie Risikoberechnungen wie Cash-Positionen in der Reportwährung behandelt und haben somit keinen Einfluss auf VaR- sowie Sensitivitätskennzahlen („Griechen“).

 

 

Abbildung 7: Positionen welche zum gewählten Reportdatum n= icht existieren (weil sie entweder vor diesem Datum bereits verfallen sind oder = erst nach dem Reportdatum gekauft wurden) werden in grau dargestellt, währe= nd existierende Positionen in schwarz erscheinen.

=  

Die Reportwährung dient als Basiswährung für alle Risiko und Ertragskennzahlen. Ändert der Anwender die Reportwährung, so werd= en alle Risiko- und Ertragskennzahlen automatisch neu berechnet und angezeigt.=

 

 

2.8&= nbsp;           &nbs= p; Ertrags- und Risikoanalyse

 = ;

Das Ertrags- und Risikoanalysefeld im unteren Teil des Hauptfensters fasst Schlüsselinformationen für die in der Positionstabelle angezeigten (oder vom Anwender selektieren und somit in gelb angezeigten) Positionen zusammen.

 

Die linke Tabelle zeigt die über die Positionsauswahl aggregierten Werte f= olgender Variablen:

·      =   Marktwert total<= /b>

·      =   Einstandswert total

·      =   Portfolio VaR

·      =   Diversifikationseffekt<= /span> zwischen den Positionen. Bezeichnet VaRi das Value-at-Risk der Position = i und VaRt das totale Value-at-Risk des selektieren Portfolios, so berechnet sich der Diversifika= tionseffekt D zu:=

 

 

 

·      =   Annualisierter Ertrag in % p.a: Der annualisierte Gewinn wird als vorausschauende Schätzung zukünftiger Performance für das gegebene Portfolio berechnet, wob= ei angenommen wird, dass für jede Position die zukünftige Veränderung des Marktwertes zum Reportdatum in Prozent gleich der in d= er Vergangenheit beobachteten Veränderung ist. Vergangene Performance wird dabei folgendermaßen berechnet: Für Positionen deren TradeDatum = mehr als ein Jahr vor dem Reportdatum liegt, wird der Ertrag in Prozent auf die = Laufzeit eines Jahres herunterskaliert, wobei exponentielle Skalierung für Akti= enprodukte und lineare Skalierung für alle anderen Anlageklassen verwendet wird. Für Positionen welche innerhalb eines Jahres vor dem Reportdatum gekau= ft wurden, wird die aktuelle Performance in Prozent ohne Skalierung verwendet. Positionen welche einen Einstandswert von Null haben (typischerweise Swaps = und Forwards) werden von der Berechnung ausgeschlossen, da ein prozentualer Ert= rag nicht definiert werden kann.

·      =   Ertrag pro VaR ist der Quotient von Ertrag und VaR, wobei der annualisierte Ertrag als Nen= ner und das Portfolio-VaR als Zähler verwendet wird. Das VaR wird dabei ebenfalls annualisiert, d.h. auf ein Jahr Halteperiode (=3D260 Handelstage)= hochskaliert.

 

Das Kuchendiagramm zeigt das Verhältnis zwischen totalem Portfolio-VaR und= dem Diversifikationseffekt in Prozent an.

 

Die rechte Tabelle enthält Gewinn und Verlustkennzahlen für die relevanten Unterportfolios sowie das Total. Das Säulendiagramm veranschaulicht Unterportfolios welche einen Gewinnbeitrag bzw. Verlustbeit= rag liefern sowie das Nettoergebnis.

 

 


 

2.9&= nbsp;           &nbs= p; Risikoanalyse Menü

 = ;

Die Risikoanalyse Menüleiste enthält drei Funktionsknöpfe fü= ;r die Analyse historischer Marktdaten sowie die Ertrags- und Risikoberechnung= des bestehenden Portfolios.

 

 

Effizienzkurve berechnen

 = ;

Durch Betätigung des entsprechenden Knopfes öffnet sich das Effizienzku= rvenfenster, welches zwei Unterfenster (Reiter) enthält, wie in Abbildung 8 sowie Abbildung 9 dargestellt.

 = ;

 

 

 

 


Abbildung 8: Effizienzkurvenfenster, welches  die involvierten Positionen oder Bücher (je nach Einstellung des Optimierungsniveaus) anzeigt.

 

Der Anwender kann das Optimierungsniveau (Positionsebene oder Bücherebene) bestimmen - entsprechend zeigt die Positionstabelle Positions- oder Büchereinträge. Für  jede Position bzw. jedes Buch wird eine erwartete jährliche Ren= dite angenommen und angezeigt, welche aufgrund langfristiger historischer Daten bestimmt wird.  Der Anwender k= ann die jeweils angenommene erwartete Rendite überschreiben durch Doppelkl= ick und anschliessende Eingabe in das jeweilige Renditefeld in der Tabelle. Dur= ch Betätigung des Resetknopfes können die manuellen Eingaben wieder rückgängig gemacht werden. Die Renditen werden als Eingabe in der Portfoliooptimierung verwendet.

 

Durch Betätigung des Berechnungsknopfes rechts unten wir die Effizienzkurve berechnet. Die Ergebnisse werden sind:

·      =   In der Positions/Buchtabelle wird das aktuelle Portfolio (in blau) verglichen = mit dem Portfolio auf der Effizienzkurve, welches die gleiche erwartete Rendite bedingt wie das aktuelle Portfolio jedoch einer minimierten Volatilität (in rot).

·      =   In der Risiko-Ertragstabelle im unteren Teil werden die erwartete Rendite, die Volatilität und der Sharpe-Ratio des aktuellen und des optimierten Portfolios verglichen.

·      =   In dem zweiten Unterfenster wird die Effizienzkurve graphisch im Volatilit&aum= l;ts-Rendite Raum dargstellt,  zusammen mit= dem aktuellen Portfolio und dem optimierten Portfolio. Der Anwender kann mit dem Mauscursor einen beliebigen Punkt auf der Effizienzkurve auswählen = 211; die oben genannten Vergleichstabellen passen sich dabei automatisch auf das ausgewählte Portfolio auf der Effizienzkurve an.

 

 

Abbildung 9: Darstel= lung der Effizienzkurve im Volatilitäts-Renditeraum. Der Anwender kann mit dem  Fadenkreuz einen Punkt au= f der Effizienzkurve auswählen – die entsprechenden Marktwerte der Positionen bzw. Bücher im Portfolio sowie die Volatilität und Ren= dite sowie der Sharpe-Ratio des optimalen Portfolios in den Tabellen passen sich automatisch an.

 

 

Real-time Marktanzeige

 

Die Real-time Marktanzeige erlaubt es, die Marktbewegungen der im Menu <= /span>D= atenreihen definierten Aktienindizes und Akt= ien real-time und intra-day zu beobachten. In der  Baumselektion kann entweder eine Übersichtstabelle über alle Aktienindizes ausgewählt werden = oder ein Index mit allen vorhandenen Komponenten angezeigt werden.

 

Abbildung 10:  Real-time Marktanzeige, bestehend aus dem Auswahlbaum sowie der Tabelle mit den entsprechenden Komp= onenten. 

 

 

Historische Datenanzeige

 

Öffnet den Historischen Daten Viewer. Falls der Anwender eine bestimmt= e Position in der Positionstabelle markiert hat (diese erscheint dann in gelb), so zei= gt der historische Daten Viewer die historischen Zeitreihen, welche Schlüsselrisikofaktoren der markierten Position sind, d.h.:=

·      =   Für Aktienpositionen zeigt das Aktienfenster den zugrundeliegenden Aktienpreis- oder Indexverlauf, während das Devisenfenster den Verlauf des Wechselk= urses zeigt, falls die Aktie in einer Währung ungleich der Reportwährung notiert. Für Derivative Instrumente wird zudem der historische Verlauf= des relevanten Zinssatzes im Zinsfenster angezeigt – s. Beispiel in = Abbildung 11.

·      =   Für Zinsprodukte wird die historische Entwicklung des zugrundeliegenden Zinssat= zes im Zinsfenster angezeigt, während das Devisenfenster wie bei Aktien den Wechselkurs zeigt.

·      =   Für Positionen in Devisen und Rohstoffen wird die Entwicklung des zugrundeliege= nde Devisen- bzw. Rohstoffpreises im Devisenfenster angezeigt.

 

 

        =      

Abbildung 11<= /span>:  Beispiel des historischen Daten Vie= wers für eine in der Positionstabelle ausgewählte Aktienoption (links = oben in gelb markiert), welcher den historischen Verlauf der Schlüsselrisikofaktoren der Option zeigt, nämlich den zugrundelie= genden Aktienkurs (rechts oben), den relevanten Zinssatz (rechts unten) sowie der = Devisenkurs (links unten). 

 

 

Ertrags- und Risikodetails

 

Das Ertrags- und Risikoanalysefenster enthält drei Unterfenster, welche detaillierte Informationen zu Ertrag und Risiko der in der Positionstabelle markierten bzw. dargestellten Positionen enthalten:

·      =   Das VaR Fenster, welches ein Histogramm der historisch simulierten Szenarien ze= igt sowie die VaR Kennzahl. Der Anwender kann zum einen das Konfidenzniveau des= VaR verändern sowie in den Verlustteil (linke Seite des Histogramms) der Wahrscheinlichkeitsverteilung zoomen, indem er die Abdeckung der Verteilung zwischen 90% und 100% verändert.

 

 

 

Abbildung 12: Historisch simulierte Gewinn- und Verlustverteilung sowie VaR-Kennzahl des selektieren Portfolios.

=  

  • Das VaR Verteilungsfenster, w= elches die Verteilung der VaR-Kennzahlen über Produktkategorien bzw. Sub= -Portfolios anzeigt, wobei der Anwender das darzustellende Unterniveau auswäh= len kann. Zudem wird der Diversifikationseffekt auf zwei Ebenen dargestell= t:
    • Diversifikation innerhalb ei= nes Unterportfolios – in Abbildung 13 dargestellt ist die Diversifikation jeweils innerhalb der Gruppe der Aktien, Zinsprodukte, Devisen und Rohstoffe.=
    • Diversifikation zwischen den Unterportfolios: In Abbildung 13 dargestellt ist die Diversifikation zwischen den Aktien-, Zins-, Devisen- und Rohstoffpositionen.

 

<= /p>

Abbildung 13<= /span>: VaR Verteilung des selektierten (Unter-)Portfolios.

 

 

  • Das Ertragsfenster zeigt die Verteilung von Gewinnen und Verlusten über die verschiedenen Produktklassen bzw. Unterportfolios, wobei der Anwender die angezeigte Ebene wählen kann – s. Abbildung 14.

 

Abbildung 14<= /span>: Gewinn-= und Verlustverteilung des gewählten (Unter-)Portfolios.<= /i>

 

 

Portfolio-Optimierung

Das Portfolio-Optimierungsfenster enthält zwei Unterfenster:

·        Das Risiko-Ertragsfenster vergleicht das gewählte (Unter-)Portfolio mit ei= ner Auswahl von Aktien- und Zinsrenditen in Bezug auf Risiko (gemessen als 90% / 1-Jahr VaR in Prozent) sowie annualisiertem Ertrag in Prozent. Während Risiko und Ertrag des Portfolios in der Reportwährung sowie dem gegebe= nen  Anlagehorizont berechnet werden, können die Renditen bzw. Risiken der Vergleichsindizes in verschiedenen Währungen (wodurch Währungsschwankungen mit in die Ertragsüberlegungen einfließen) sowie bzgl. verschiedener Anlagehorizonte berechnet werden. Die Auswahl "Basiswährung" berechnet dabei Risiko und Ertrag jedes Index in dessen Basiswährung. = Der Anlagehorizont kann vom Anwender gewählt werden und gibt an, über= wie viele Jahre die Renditen der Aktien- bzw. Zinsen als Vergleich betrachtet w= erden. Die Auswahl 5 Jahre beispielsweise bedeutet, dass für Aktienindizes die annualisierte  Rendite der let= zten fünf Jahre berechnet wird, für Zinsen wird die jeweilige 5-Jahres Umlaufrendite verwendet.

 

Abbildung 15: Risiko-Ertragsfenster.

 

 

·        Der Aktienbrowser dient dazu, dem Anwender anzuzeigen, welche Aktie aufgrund des Risiko- bzw. Ertragsprofils in sein bestehendes Portfolio passen könnt= e. Er enthält auf der linken Seite eine Baumstruktur zur Auswahl von Akti= enindizes, deren Aktien in der Tabelle rechts dargestellt werden. Konkret kann der Anwender einen fiktiven Anlagebetrag in der Reportwährung eingeben. Für jede Aktie (bzw. jeden Index) in der Tabelle werden grundlegende I= nformationen zur Analyse des Risiko-Ertragsprofils der Aktie angezeigt, basierend auf der Annahme, dass der spezifizierte fiktive Anlagebetrag in die jeweilige Aktie investiert würde, wie z.B. annualisierter Ertrag der Aktie (berechnet = als Durchschnitt über den vom Anwender gewählten Anlagehorizont), das= VaR der Aktie sowie das marginale VaR (d.h. die Veränderung des Portfolio-= VaR, wenn der gewählte Anlagebetrag in diese Aktie investiert und zum beste= henden Portfolio hinzugefügt wird) sowie das marginale Ertrags-VaR  Verhältnis.

 

 

Abbildung 16: Aktien-Browser, welcher den Einfluss eines fiktiven Aktienkaufs in Höhe des  angegebenen Betrags auf d= as VaR sowie das Ertrags-VaR Verhältnis des bestehenden Portfolios anzeigt.

 

 

2.10=           Historische Simulation= =

Die historische Simulation berechnet eine Historie des Portfoliowerts und des j= eweiligen VaR auf wöchentlicher Basis. Dies ist eine wichtige Funktion, um eine Portfoliostrategie sowie deren Risikoprofil im Zeitverlauf zu analysieren. = Der Anwender kann zwischen drei Darstellungsvarianten für die Simulationsresultate wählen:

·      =   Zeitverlauf des Marktwerts sowie des VaR des Portfolios.

·      =   Zeitverlauf des Verhältnisses von VaR zu Marktwert des Portfolios – diese Darstellung ist sinnvoll, um  = die Entwicklung des relativen Portfoliorisikos in der Zeit zu analysieren.=

·      =   Zeitverlauf von wöchentlichen Gewinnen und Verlusten im Vergleich zum jeweiligen V= aR der Vorwoche. Diese Darstellung ist insbesondere sinnvoll, um  die Genauigkeit der VaR Methode zu testen (“Backtesting”), wie in folgender Abbildung dargestellt.=

 Abbildung <= /i>= 17: Darstell= ung der wöchentlichen Gewinne und Verluste im Vergleich zum positiven und negativen VaR-Niveau der jeweiligen Vorwoche. Diese Darstellung ergibt Aufschluss über die Genauigkeit der VaR-Methode (“Backtesting= 220;).

 

Der Anwe= nder kann folgende Einstellungen festlegen:

·      =   Anzahl der Simulationen, d.h. die Anzahl der Wochen welche in der Vergangenheit simuliert werden.

·      =   Konfidenzniveau der VaR-Methode.

·      =   Die Art der Darstellung, wie oben erklärt.


 

3        &n= bsp;          Positionsselektor

 

Der Positionsselektor dient der Eingabe neuer Positionen sowie der Modifizierung bestehender Positionen.

 

3.1=       =         Parametereingabe

 

Der Eingabebereich besteht aus drei Eingabeblöcken, welche vom Anwender ausgefüllt werden müssen, wie in Abbildung 18 dargestellt:

·      =   Positionsbeschreibung:<= /span> Der Anwender hat Auswahlmenüs zur Verfügung zur Bestimmung von der/dem

    1. Kategor= ie: Aktien, Zinsen, Devisen oder Rohstoffe
    2. Typ: Instrumentart in Abhängigkeit der gewählten Anlagekategorie, z.B. für Zinsen stehen Anleihen, Swaps, FRA etc. zur Verfüg= ung.
    3. Positio= nstyp: Falls der Anwender als Instrumentart eine Option gewählt hat, so kann er aus verschiedenen Optionstypen auswählen.

·      =   Positionsparameter: Basierend auf dem gewählten Instrument muss der Anwender die statischen Positionscharakteristika eingeben, wie z.B.  die zugrundeliegende Aktie, Laufze= it einer Option, Coupon-Frequenz eines Bonds etc. Zur Auswahl einer Aktie oder eines Emittenten (Unternehmensanleihen) kann der Anwender zudem den Emitten= tenselektor verwenden, um eine Aktie / ein Unternehmen aus der Datenbank von Art of Fin= ance auszuwählen – s. Abbildung 19.  Zu= jeder Buch(-nummer) kann – wie weiter unten dargestellt - durch Betäti= gung des Buchknopfes ein Buchname eingegeben werden, welcher dann in der Spalte Beschreibung in der Positionstabelle angezeigt wird.

·      =   Preisparameter:<= span style=3D'mso-bookmark:_Toc231892180'> Der Anwender kann den Positionsselektor auf zwei Arten verwenden:

1.      Zum einen besteht die Möglichkeit, sämtliche Marktparameter manuell e= inzugeben und das Instrument durch Betätigung des MtM-Knopfes bewerten zu lassen. Dies ist hilfreich, wenn der Anwender den Preis bestimmter Instrumente (z.B. Optionen, Anleihen, Swaps etc.) bestimmen möchte. D.h. Art of Finance = wird in diesem Fall nur als Bewertungswerkzeug verwendet.

2.      Alternativ kann der Anwender den Suchknopf betätigen um die notwendigen Marktpara= meter aus der Datenbank von Art of Finance (bzw. über das Internet aus der Datenbank von Yahoo) zu laden, vorausgesetzt das Instrument ist bekannt. Bitte beachten Sie, dass das Einlesen= der Marktparameter über diese Funktion notwendig ist, um die Position &uum= l;ber den OK-Knopf ins Portofolio einfügen zu können. Grund hierfür ist, dass sämtliche Positionen im Portfolio aufgrund konsistenter Mark= tdaten bewerten bzw. simuliert werden müssen. Für besti= mmte Instrumente hat der Anwender jedoch zusätzliche Funktionen zur Verfügung, um die Positionsbewertung an beobachtete Marktpreise anzupassen:

-&nb= sp;         Für Optionen kann der Anwender nach dem Laden der Marktparameter durch Betätigung des Suchknopfes einen beobachteten Marktpreis eingeben und den Vola-Knopf betätigen, um die zugehöri= ge implizite Volatilität der Option zu berechnen, welche folglich Anwendu= ng findet. Der Quotient zwischen der von Art of Finance vorgängig vorgeschlagenen Volatilität und der impliziten Volatilität ist in= der Variable VolaFaktor in der Positionstabelle ersichtlich. 

-&nb= sp;         Eine analoge Funktion steht für die meisten Zinsprodukte zur Verfügung, wobei der Anwender für einen von ihm eingegebenen Marktpreis durch Betätigung des Rendite-Knopfes die impli= zite Umlaufrendite der Position berechnen und anwenden lassen kann. Die Differenz zwischen dem von Art of Finance zur Bewertung vorgeschlagenen Swap-Satz und= der impliziten Rendite ist in der Spalte Spread der Positionstabelle ersichtlich. 

 

        =             &nb= sp;            =           

 

 

 

Abbildung 18<= /span>: Positionsselektor.

 

 

3.2&= nbsp;           &nbs= p; Emittentenselektor=

 

Der Emittentenselektor erl= aubt es dem Anwender, eine Aktie / Emittenten aus der Datenbank auszuwählen – s. Abbildung 19.  <= /p>

 

Abbildung 19<= /span>: Der Anwe= nder kann entweder den Aktienindex sowie die entsprechende Indexkomponente (Emittent) direkt über die Menüs auswählen, oder über d= ie manuelle Eingabe und den Suchknopf den Emittentennamen suchen – bei e= rfolgreicher Suche erscheint der Status "erkannt". Durch Betätigung des OK-Knopfes werden die wesentlichen Informationen in den Positionsselektor übernommen (inklusive dem Beta und der Residualvolatilität der Aktie  sowie die Währung)= .

 

3.3&= nbsp;           &nbs= p; Basketselektor

Für Rainbowoptionen öffnet der Name/Underlying Knopf den Basketselektor, in dem der Anwender einen Aktienkorb als Liste von Aktien mit Gewichtungen def= inieren kann, wie Abbildung 20 dargestellt.

 

Abbildung 20<= /span>: Basketse= lektor, indem der Anwender einen Aktienkorb aus der Liste existierender Baskets auswählen oder einen neuen Korb definieren kann.=

 

Im Pulldown Menü  “Basket” kann der Anwender einen existierenden Basket auswählen. Die folgenden Funktionen dienen zum Definieren oder Modifizieren des gewählten Aktienkorbs:

 

·        Neuen Basket kreieren: Der Anwender muss die Anzahl Akt= ien im neuen Aktienkorb eingeben (zwischen 2 und 5).

 

·        Basket löschen: Leert die Baskettabelle.<= /span>

 

·        Änderungen speichern: = Speichert die Änderungen im aktuellen Basket.

 = ;

·        Matrix anzeigen: Zeigt die Korrelations- bzw. Kovarianzmatrix des aktuellen Basket an:

 

            Abbildung 21: Anzeige = der Korrelations- oder Kovarianzmatrix.

 

 

·        Normieren: Der Anwender kann die gewünschte Tranchengrösse eingeben. Die Anzahl Aktien pro Zeile wird entsprechend angepasst, sodass am Reportdatum jede Aktientranche den gewünschten Wert hat.

 

·        Basketname: Der Name des Baskets muss eingegeben werden.

 = ;

 

Der Anwender kann Aktien durch Doppelklicken auf ein Feld in den ersten beiden Tabellenspalten eingeben, wodurch sich der Emittentenselektor öffnet, = um eine Aktie auszuwählen. Doppelklicken auf ein Feld in der dritten Spal= te erlaubt die Eingabe der Aktienanzahl der jeweiligen Tranche.

 

 

 

3.4&= nbsp;           &nbs= p; Buchdialog<= /span>=

 = ;

Der Anwender kann den nachfolgend in Abbildung 24 dargestellte Buchdialog durch Betätigung des Buchknopfes öffnen:

 

Abbildung 22: Buchdia= log – der Anwender kann ein bestehendes Buch aus dem Menü auswä= hlen und den gewünschten Namen, die Buchwährung sowie Kotierungstyp eingeben. Nach Betätigung des Update-Knopfes wird die Eingabe verwende= t.

 

Die Dialogbox bietet die folgenden Funktionen zur Definition eines Buches an:

·      =   Auswahl des zu editierenden Buchs im Auswahlmenü “Vorhandene Bücher”

·      =   Der “Buchnummer” Knopf zur Veränderung der Buchnummer

·      =   Das “Buchname” Feld zur Eingabe des Buchnames

·      =   Der Kotierungstyp – der Anwender kann das Buch entweder als Marktwert oder als Prozentwert einer einzugebenden Basis in der angegebenen Währung zu kotieren.

·      =   Der “Buchgrösse festlegen” Knopf erlaubt den Marktwert des Buc= hes zum momentanen Datum oder zum Trade-Datum einzugeben, d.h. es werden alle Positionen im Buch linear skaliert, damit das Buch den genannten Marktwert = aufweist.

 

 

Der Buchdialog wird automatisch zu einem Produktdialog mit zusätzlichen Ei= ngabefunktionen erweitert, falls die Positionen in einem Buch folgende Kriterien erfül= len, welche ein strukturiertes Produkt definieren:

·      =   Alle Positionen haben das gleiche Trade-Datum

·      =   Alle Positionen mit Verfall haben das gleiche Verfallsdatum

·      =   Alle Positionen sind entweder ein Zinsinstrument oder gehören ausschlie&szl= ig;lich zu einer der Klassen Aktien, Devisen bzw. Rohstoffe.

·      =   Es sind Derivatepositionen im Buch enthalten.

 

Der entsprechende Produktdialog ist nachfolgend dargestellt:<= /span>

 

Abbildung 23: Produkt= dialog – Zusätzlich zu den Standardbuchfunktionen kann der Anwender das Start- und Verfallsdatum des Produkts, das Underlying sowie sämtliche Strikes und Barrieren eingeben. Zudem wird der Pay-off des Produkts dargestellt.

 

 

Der Anwender kann das Start- und Verfallsdatum, das Underlying sowie sämtl= iche Strikes und Barrieren eingeben. Durch Betätigen des „Update̶= 0; Knopfes werden die Eingaben automatisch auf sämtliche Positionen des Produkts angewendet.

=  

3.5          &n= bsp;   Ri= sikoanalyse

 

Nach= dem alle Marktparameterfelder ausgefüllt sind, stehen dem Anwender noch einige Funktionsknöpfe zur Verfügung:

·      =   Sind die Marktparameter über die Suchfunktion geladen worden, so kann der A= nwender durch Drücken des OK-Knopfes die Position ins bestehende Portfolio integrieren – ansonsten ist der OK-Knopf nicht auswählbar.<= /o:p>

·      =   Die Löschfunktion löscht die bestehende Position aus dem Portfolio (n= ur vorhanden falls existierende Position im Positionsselektor geöffnet wurde).

·      =   Die Clear Funktion löscht alle Marktpreiseingabefelder.<= /span>

·      =   Die Risikoanalysefunktion öffnet ein Fenster mit zwei Anzeigen:=

o       Ein Histogramm, welches die historisch simulierten Gewinne und Verluste der Position anzeigt sowie das Value-at-Risk – s. Abbildung 24.

o       Eine Anzeige, welches den Preis bzw. Sensitivitäten ("Griechen") = des Instruments in Abhängigkeit der Marktpreisparameter zeigt – s. <= span style=3D'mso-field-code:" REF _Ref157911034 \\h  \\* MERGEFORMAT "'>= Abbildung 25.

·      =   Der Plot-Knopf öffnet den historischen Daten Viewer, um  den historischen Verlauf der Schlüsselrisikofaktoren der Position anzuzeigen, analog zur Beschreibu= ng von Abbildung 11.

 

 

 

 

Abbildung 24<= /span>: Historische Szenarien und Value-at-Risk.

 

 

 

 

Abbildung 25<= /span>: Preis bzw. Sensitivität in Abhängigkeit = des vom Anwender gewählten Marktpreisfaktors.


 

= 4        &n= bsp;          Einstellungen

 = ;

Das Einstellungen Fenster kann über die Menüliste im Hauptfenster geöffnet werden und enthält drei Unterfester:

 

4.1&= nbsp;           &nbs= p; Risikoeinstellungen

 

<= /p>

Abbildung 26: Einstellungen für die historische Value-at-Ri= sk Berechnung.

 

Die Risikoeinstellungen beinhalten verschiedene Menüs zur Definition der historischen Simulation, welche wir folgend v= on links oben nach rechts unten detaillieren:

·        Volatilitätssimulation: Der Anwender kann wählen, ob Optionen mit konstanter Volatilität (=3Dder aktuellen Volatilität) oder absolute oder relative historische= Volatilitätsveränderungen angewendet werden sollen.

·        Zinssatzsimulation: Analog kann der Anwender zwischen absoluten und relativen historischen Zinsveränderungen in der historischen Simulation wählen.

·        Aktiensimulation: Dem Anwender stehen drei Methoden zur historischen Simulation von Aktienins= trumenten zur Verfügung:

o&nb= sp;      Verwendung individueller Zeitreihen für jede Aktie, falls in der historischen Marktdatenbank  vorhanden.

o&nb= sp;      Simulation jeder Aktie als Beta zum Index, d.h. basierend auf historischen Renditen de= s jeweiligen Aktienindex.

o&nb= sp;      Simulation als Beta-zum-Index, jedoch mit zusätzlichen Residualrisiko, dargestellt durch eine individuelle log-Normalverteilte Zufallsvariable pro Aktie mit d= er historisch beobachteten Residualvolatilität. =

·        VaR Einstellungen: Der Anwender kann das Konfidenzvniveau  (90%, 95% oder 99%) sowie die Halteperiode (1-10 Tage) für die historische Simulation angeben. 

·        Volatilitätseinstellungen: Art of Finance verwendet ein sogenanntes Garch(1,1) Modell um historische Zeitreihen für die Volatilität von Aktien, Zinsen, Devisen und Rohstoffen zu generieren. Die Modellparameter können vom Anwender modifiziert werden – jegliche Änderung führt unmittelbar zur Neuberechnung der  Volatilitätszeitreihen nach dem Betätigen des OK-Knopfes u= nd sind im Historischen Daten Viewer ersichtlich. 

·        Standarddatenquelle: Art of Finance basiert auf einer historischen Marktdatenbank zur Ertrags- u= nd Risikoberechnung. Der Anwender kann wählen, ob beim Programmstart die Datenbank von der lokalen Festplatte geladen wird oder die neueste Datenbank vom Internet bezogen wird – letzteres hat den Vorteil stets aktuellst= er Daten, setzt jedoch eine schnelle Internetverbindung voraus, da ansonsten d= ie Programmstartphase sehr lange dauern kann. In jedem Fall kann der Anwender = bei Bedarf die neuesten historischen Daten vom Internet im Fenster Datenreihen laden.

 

 

4.2&= nbsp;           &nbs= p; Tabellenansicht

In der Einstellung der Tabellenansicht kann der Anwen= der definieren, welche Spalten (=3DPositionsattribute) in der Positionstabelle = im Hauptfenster angezeigt werden sollen, in Abhängigkeit von der im <= span lang=3DDE style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"= Times New Roman"; mso-ansi-language:DE'>Instrumentselektor gewählten Anlageklasse. 

 

Abbildung 27: Auswahltabelle der anzuzeigenden Datenfelder pro Anlageklasse.

 

 

4.3&= nbsp;           &nbs= p; Datenreihen

 

Das Zeitreihenfenster dient der Administration der Zeitreihen für historischeMarktdaten, welche für die historische = VaR Berechnung benötigt werden und im historischen Daten Viewer angeschaut werden können. Der Anwender hat dabei prinzipiell Zugriff auf zwei Datenbanken – derjenigen auf der lokalen  Festplatte sowie die aktuellste Datenbankversion im Internet. Zudem kann der Anwender noch zusätzliche= , in der Standarddatenbank von Art of Finance nicht vorgesehene Datenreihen zu ergänzen durch Laden von Zeitreihen von der Financial Database von Yah= oo. Welche Datenbank beim Start von Art of Finance verwendet wird, definiert der Anwender im Fenster Ris= ikoeinstellungen. Die folg= enden Funktionen beziehen sich auf die beim Start geladene Datenbank.<= /span>

 = ;

Im Datenreihenfester gemäß = Abbildung 28 kann der Anwender anhand der Baumstruktur auf der linken Seite des Fensters die jeweilige Anlageklasse (Aktien, Zinsen, Devis= en sowie Rohstoffe) sowie Indizes innerhalb der Klasse anwählen. In der Tabelle werden dann jeweils die Indexkomponenten dargestellt, mit dem entsprechenden Symbol (Terminologie gemäß Yahoo) sowie der Statu= s (geladen oder nicht geladen).

 

 

Abbildung 28<= /span>: Das Datenreihenfester dient der Administration historischer Marktdatenreihen. D= er Index wird in der Baumstruktur links ausgewählt, die enthaltenen Indexkomponenten bzw. Datenreihen werden in der Tabelle angezeigt,  mit dem Status (geladen / nicht gel= aden).

 

 

Abbildung 29: Funktionalitäten innerhalb der Datenreihentabelle: Klicken mit der rechten Maustaste auf eine selektierte Datenreihe öffnet ein Pop-up Menü, welches dem Anwender ermö= glicht, die Datenreihe zu löschen, die Datenreihe von Yahoo zu laden oder als Textdatei zu exportieren.

 

 

Die Menüleiste enthält folgende Funktionsknöpfe:

·  &n= bsp;     Neuer Index: Nur innerhalb der Aktienkategorie möglich. Öffnet den Indexselektor gemäß = Abbildung 30, worin der Anwender den Namen und das Symbol (gemäß Yahoo) eines neuen Index spezifizieren kann. Zudem kann d= er Anwender optional eine Tabelle von Indexkomponenten aus einer externen Textdatei importieren, welche zwei durch Komma getrennte Spalten enthalten = muss – siehe folgendes Beispiel. Der Name und das Symbol des Index selber müssen dabei nicht über die externe Tabelle geliefert sondern dir= ekt im Indexselektionsfenster eingegeben werden:

ABBN.VX, ABB_Ltd

ADEN.VX, Adecco_SA

        &= nbsp;           &nbs= p;   etc.

·  &n= bsp;     Index löschen: Nur innerhalb der Aktienkatego= rie möglich. Löscht den ausgewählten Index inklusive aller Indexkomponenten.

·  &n= bsp;     Index exportieren: Exportiert die Zeitreihen des a= usgewählten Index in eine externe Textdatei.

·  &n= bsp;     Neue Reihe: Nur innerhalb der Aktienkategorie möglich. Öffnet ein Zeitreihenselektionsfenster gemäß = = Abbildung 31 – der Anwender kann den Namen sowie das Sym= bol (gemäß Yahoo) der neuen Indexkomponente eingeben.

·  &n= bsp;     Reihe löschen: Nur innerhalb der Aktienkatego= rie möglich. Löscht die ausgewählte Datenreihe.

·  &n= bsp;     Laden:  Datenreihen deren Status auf nicht-geladen steht (z.B. neue durch den  Anwender eingegebene Zeitreihen) werden durch diese Funktion von Yahoo geladen. Das Start- und Enddatum der geladenen Zeitreihe wird gleich dem Anfangs- und Enddatum der vorhandenen Zeitreihen gewählt. Details zum Ladevorgang (insbesondere aufgetretene Fehler) sind in der Datei "LogB.txt" zu finden.

·  &n= bsp;     Datenupdate: Nimmt ein komplettes Update der historischen Datenbank für alle Anlagekategorien aufgrund der neuesten Datenbank von Art of Finance im Internet vor. Falls der Anwender zusätzliche Aktienreihen in seine Datenbank eingefügt hat, werden diese von Yahoo geladen. Durch diese Funktion wird somit auch das abgedeckte Zeitfenster der Datenbank erneuert.

 

Abbildung 30<= /span>: Indexselektionsfenster: Der Anwender muss das Yahoo-Symbol sowie den Namen = und die Währung des Index eingeben. Die Indexkomponenten können ü= ;ber die Importfunktion aus einer externen Texttabelle importiert werden. <= /o:p>

 

 

Abbildung 31<= /span>: Zeitreihenselektionsfenster: Der Anwender kann das  Yahoo-Symbol sowie den Namen der Datenreihe  angeben.

 

 

 

5        &n= bsp;          Historischer Daten Viewer

 

Der historische Daten Viewer kann über das Hauptfenster aufgerufen werden = und enthält vier Unterfenster:

·        Zinskurve: Zeigt die Zinskurve (=3DGeldmarkt/Swapkurve), die Zero-Kurve und die Forward-Kurve für die= verschiedenen Währung an.

·        Zinshistorie<= span style=3D'mso-bookmark:_Toc231892180'>: Zeigt die Historie von Geldmarkt/Swapsätzen sowie die daraus abgeleiteten Zero-Sätze und Forward-Sätze für  verschiedene Währungen an.

·        Aktien: Zeigt Historien von Aktienpreise= n und Indexverläufen.

·        Devisen / Rohstoffe<= /span>: Zeigt Historien von Devisen- und Rohstoffkursen.

 

Jedes der vier genannten Fenster wird nachfolgend im Detail beschrieben. Allgemeine Funktionen der Anzeigefenster werden jedoch exemplarisch nur für das erste Fenster detailliert erklärt. =

 

 

5.1&= nbsp;           &nbs= p; Zinskurve

Datenauswahl

 

Das Zinskurvenfenster zeigt die Zinskurve (Geldmarkt/Swapsatzkurve) sowie die daraus abgeleitete Zero-Kurve sowie Forward-Kurve als Funktion der Laufzeit= . In der Datenauswahl kann der Anwender die jeweilige Währung sowie das Dat= um der Anzeige wählen.

 

 

Anzeigeeinstellungen

 

Der Bereich der Anzeigeeinstellungen ist für alle Fenster analog und enthält eine Reihe von Funktionen zur Optimierung der Anzeige:

·      =   Scrollbalken: Dienen der Einstellung von Anfang und Ende des Ausschnitts der angezeigten = Datenreihe.

·      =   Info: Zeigt statistische Daten (Durchschnitt, Standardabweichung etc.) des angeze= igten Datensatzes.

·      =   Y-0: Bei Reihen aus ausschließlich positiven Zahlen wird der Nullpunkt der y-Achse auf Null gesetzt.

·      =   X-Log: Schaltet die logarithmische Skala auf der X-Achse ein/aus.

·      =   Y-Log: Schaltet die logarithmische Skala auf der Y-Achse ein/aus.

·      =   Gitter: Schaltet das Koordinatengitter ein/aus. Die Anzahl angezeigter Gitterlinien wird in der Linien-Box bestimmt. 

·      =   Linien: Bestimmt die Anzahl der Gitterlinien.

 

 

 


 

 

 

 

 

 

 Abbildung <= /i>= 32:  Anzeige der Zinskurve, Zero-Kurve = sowie Forward-Kurve.


 

5.2&= nbsp;           &nbs= p; Zinshistorie

 

Datenauswahl

 

In der Datenauswahl kann der Anwender historische Datenreihen für Geldmar= kt- und Swapsätze sowie daraus abgeleitete Zero-Sätze und Forward-Sätze in verschiedenen Währungen anwählen, sowie zwischen der Anzeige der Datenreihe sowie der daraus abgeleiteten historisc= hen Volatilität wählen.

 

Anzeigeeinstellungen

5.2= .1      =             &nb= sp;  

Zusätzlich zu den Einstellungen im oben genannten Zinskurvenbereich hat der Anwender folgende Funktionen zur Auswahl.

·      =   “Plot:”:  Der Anwender kann den Anzeigetyp wählen zwischen:

o       X-Y: Zeigt die Datenreihe als Funktion der Zeit an.

o       Histogramm: Zeigt ein Histogramm der Verteilung der Zeitreihe.=

 

·      =   “Als”: Der Anwender kann auswählen unter

o       “Werten”: Zeigt die Zeitreihe direkt an.

o       “Absoluten Deltas”: Zeigt die Reihe der absoluten Veränderungen (xi – xi-1) der Zeitreihe an.

o       “Relative Deltas”: Zeigt die Reihe der relativen Veränderungen  xi  / xi-1 –1 der Zei= treihe an.

·      =   “Zeige”: Der Anwender kann folgende Operationen auf die angezeigte Zeitreihe anwenden lassen:

o       “1:1”: Zeigt die Daten ohne Manipulation an

o       “Mov(10)”: Zeichnet einen gleitenden 10-Punkte Durchschnitt.<= /p>

o       “Mov(30)”: Zeichnet einen gleitenden 30-Punkte Durchschnitt.<= /p>

o       „Trend-1“ / „Trend-2“: Zeichnet Trendlinien zwischen Extrema.<= /span>


 

Die folgenden Abbildungen zeigen die Zeitreihe des 5-Jahres CHF-Swapsatzes sowie die Reihe der absoluten Veränderung des USD-Swapsatzes an:<= /span>

 

 


<= /p>

 

 

 

 

 

Abbildung 33: Anzeige= der Historie des 5-Jahres CHF-Swapsatzes.

 

 

 

 

 

Abbildung 34: Anzeige der Historie der absoluten Veränderun= gen des 5-Jahres USD-Swapsatzes.

 

 

5.3&= nbsp;           &nbs= p; Aktien<= span style=3D'mso-bookmark:_Toc231892180'>

 

Datenauswahl

 

Der Anwender kann die anzuzeigende Aktienkurs- bzw. Indexhistorie wählen. =

 

Zudem kann durch die Funktion "Adjustiere" die gezeigte Aktie sowie der Index so adjustiert werden, dass relative Kursveränderungen kongruent dargestellt werden.

 

Anzeigeeinstellungen

 

Zusätzlich zu den bereits angeführten Einstellungsmöglichkeiten steht dem An= wender der Anzeigetyp  "Scatter&= quot; zur Verfügung, welcher historische Aktienrenditen gegenüber histo= rischen Indexrenditen anzeigt – s. Abbildung 35.

 

<= /p>

Abbildung 35<= /span>: Renditen der Aktie BNP gegenüber den Renditen des CAC40.<= /span>

 

 

Zudem kann der Anwender den Kursverlauf entweder in der Basiswährung der Akt= ie / des Index anzeigen lassen (als Standard eingestellt), oder aber in einer anderen Währung, wodurch die Rendite der Aktie aus der Perspektive ein= es Fremdwährungsinvestors dargestellt werden kann.

 

= Abbildung 36 zeigt als Beispiel die Kurshistorie einer Aktie g= egenüber ihrem Index.


 

 

 

 


<= /span>

 

 

 

 

 

 

Abbildung 36<= /span>: Anzeige= des Kurshistorie der Aktie BNP Paribas gegenüber dem CAC40 inklusive gleit= ende 30-Wochen Durchschnittswerte.

 

 

Mit der Online-Funktion kann der Anwender zudem die jeweils aktuelle Datenreihe (bezogen von Yahoo) anzeigen lassen, ansonsten wird die Datenreihe der in d= er geladenen historischen Datenbank angezeigt.


 

Eine weitere nützliche Funktion ist der Trend-Plot, bei dem die Trendlinien= vom Hoch zum folgenden Tief angezeigt werden, wie nachfolgend für den NASD= AQ illustriert:

 

Abbildung 37: Trendanalyse des NASDAQ.

 

 

5.4&= nbsp;           &nbs= p; Devisen / Rohstoffe

 

Datenauswahl

 

Das Devisen/Rohstofffenster zeigt historische Devisen- und Rohstoffkurse in ein= er vom Anwender bestimmbaren Währung&nbs= p; an, wie in folgendem Beispiel dargestellt:<= /p>

 

 

 


Abbildung 38: Anzeige= der historischen Volatilität in % p.a. des Ölpreises pro Barrel in Britischen Pfund.

 

 

 

 

 

 

 

Abbildung 39: Anzeige der historischen Ölpreisrenditen (entspricht den relativen Kursveränderungen) in Britischen Pfund.

 

 

= = 6        &n= bsp;          Bewertung

 

Art of Finance versucht stets,  Positionen in der Positionstabelle anhand Preisinformationen für das gewählte Reportdatum bzw. des&nbs= p; vorgängig nächst verfügbaren Datums zu bewerten. Das effektive Datum der verwendeten Preisinformation ist  für jede Position im Feld PreisDatum ersichtlich, welches sich folgendermaßen bestimmt:

·      =   Für alle Aktieninstrumente ist das PreisDatum das Datum, zudem der Preis des Underlying (der Aktie / des Index) verfügbar ist.

·      =   Für Zinsinstrumente ist das verfügbare Datum der zugrundeliegenden Zinskur= ve relevant.

·      =   Für Devisen- und Rohstoffpositionen richtet sich das PreisDatum nach dem Datum = des zugrundeliegenden Devisen- bzw.  Rohstoffpreises.

 

Alle Risikoberechnungen (VaR und Sensitivitäten) werden gemäß dem PreisDatum berechnet.

 

In jedem Fall hat der Anwender die Möglichkeit, für alle Positionen, welche das Attribut "Symbol" haben, externe Preisdaten in Art of Finance einzuspeisen. Hierzu dient die Datei "Prices.txt" im Unterverzeichnis "/FinDat/Interface/", welche eine Tabelle mit zw= ei durch Leerzeichen getrennte Spalten enthält für das jeweilige Sym= bol sowie den Preis – s. folgendes Beispiel:

UBSN.VX       75.2<= o:p>

MMM        &= nbsp;    77.4

^GDAX        &= nbsp;  6,593.09

        &= nbsp;  

Für Zinsprodukte muss dabei anstelle des Preises die jeweilige zur Bewertung verwendete Rendite geliefert werden.

 

Die extern gelieferten Preisdaten werden in jedem Fall verwendet, unabhäng= ig vom Reportdatum!

 

Für Aktienoptionen kann zudem der Underlying-Preis geliefert werden (für d= as Symbol) sowie der Optionspreis selber (im InstrumentSymbol), wobei Art of F= inanance in diesem Fall die implizite Volatilität entsprechend berechnet= .

 

 

 

&nbs= p;

 

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 0.  Table of Contents

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            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;     52/52        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;             &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;            52/52

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