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lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
Der Marktpreisrechner f
r Optionen auf Futures kommt lediglich im Zusammenhang mit der Sensitivit
tsanalyse und dem Value-at-Risk-Ansatz der Risikoanalyse zum Einsatz.
Die Bewertung der Optionen auf Futures erfolgt analog der Bewertung von Futures, da auch diese
ber ein Margin-Account abgewickelt werden. Es erfolgt daher nur der Ausweis von
nderungsrisiken f
r Future-style-Optionen.
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
Zur Bewertung handelbarer Optionen m
ssen die Gesch
ftsdaten und alternativ eine Parcoupon- oder Zerocouponzinsstrukturkurve in der Gesch
hrung f
r den Auswertungstag vorgegeben werden.
Weiterhin m
ssen f
r die Bewertung von Optionen auf Futures die entsprechenden Marktwerte zur Bewertung des Underlyings (z.B. die Indexwerte einer Option auf Aktienindexfutures) vorgegeben werden.
Falls die Anzeigew
hrung von der Gesch
hrung der Option abweicht, wird der entsprechende W
hrungskurs ben
tigt. Falls der Horizont zeitlich nach dem Auswertungstag liegt und falls die Gesch
hrung von der Anzeigew
hrung abweicht, mu
zur Berechnung eines Terminw
hrungskurses zum Laufzeitende eine Parcoupon- bzw. Zerocouponzinsstrukturkurve in der Anzeigew
hrung (Geld- bzw. Briefs
tze) vorgegeben werden.
Zur Berechnung der Eingangsparameter kommen folgende Verfahren zum Einsatz:
Interpolation
Forward Rates
Zerobondabzinsungsfaktoren
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
Der Wert europ
ischer Optionen auf Futures werden mit der Black-Scholes-Formel bewertet.
Es gehen dabei die folgenden Parameter in die Optionspreisformel ein:
Strike der Option (notierungsabh
Spot des Underlyings (entspricht dem Futurepreis)
Wertpapierkurs (bei Futures auf festverzinsliche Wertpapiere)
Forwardsatz (bei Futures auf Zinsen)
Index-Kurs (bei Futures auf Indizes)
Volatilit
t des Underlyings der Option (zur Laufzeit der Option)
Volatilit
t des Bond-Futures (bei Futures auf festverzinsliche Wertpapiere)
Volatilit
t des Forwardsatzes (bei Futures auf Zinsen)
Volatilit
t des Indizes (bei Futures auf Indizes)
Dividenden (in der Regel bei den genannten Produkten gleich 0)
Mit diesen Eingangsparametern erfolgt die Bewertung der Option auf den Horizont.
Die Pr
mienabrechnung bei einer Option auf den Future erfolgt in Analogie zum zugrundeliegenden Future-Kontrakt. Nach dem Mark-to-Market-Prinzip wird die Option t
glich abgerechnet (Future-style). Dies f
hrt dazu, da
eine Aus
bung der Option erst zum F
lligkeitstermin optimal ist, damit kann diese Option wie eine europ
ische Option gem
Black/Scholes bewertet werden.
Da bei Kauf der Option keine Optionspr
mie gezahlt wird, mu
der Preis der Future-Option zur Optionsf
lligkeit ausgewiesen werden.
Die Formel zur Bewertung der Option auf einen Future kann man sich aus der Black-Scholes-Formel f
r Aktienoptionen in der Weise entstanden denken, da
der Aktienkurs durch den Futurepreis ersetzt und der kurzfristige Zinssatz gleich null gesetzt wird. Der kurzfristige Zinssatz spielt keine Rolle, da bei Aufbau eines Duplikationsportfolios weder das Underlying noch die Option eine Kapitalbindung verursachen.
Call = Futurepreis*N(d1)-Strike*N(d2)
Der Kurswert ermittelt sich je nach Underlying wie folgt:
r Optionen auf einen Index-Future: Kurswert = Anzahl Kontrakte * Indexpunktwert * Future-Option
r Optionen auf einen Zins-Future: Kurswert = Anzahl Kontrakte * Kontraktnominal/100 * Future-Option * M/12 (M entspricht der Laufzeit der zugrundeliegenden Forward-Zinsperiode in Monaten)
r Optionen auf einen Bond-Future: Kurswert = Anzahl Kontrakte * Kontraktnominal/100 * Future-Option
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
r Optionen auf einen Index-Future:
Kurswert = Anzahl Kontrakte * Indexpunktwert * Future-Option
r Optionen auf einen Zins-Future:
Kurswert = Anzahl Kontrakte * Kontraktnominal/100 * Future-Option * M/12
(M entspricht der Laufzeit der zugrundeliegenden Forward-Zinsperiode in Monaten)
r Optionen auf einen Bond-Future:
Kurswert = Anzahl Kontrakte * Kontraktnominal/100 * Future-Option
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
PADPADP
GerH 2015, 2020
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
https://github.com/gh28942
lSystem.Resources.ResourceReader, mscorlib, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089#System.Resources.RuntimeResourceSet
hSystem.Drawing.Bitmap, System.Drawing, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3aPADPAD3
QSystem.Drawing, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a
System.Drawing.Bitmap
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