Mercado a Término Término de de Rosario S.A. Estrategias con Futuros y Opciones 14/12/2016
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Contenidos Conclusión
•
Opciones: ¿qué son?
•
Tipos de opciones y operaciones básicas
•
Formas de cancelación de una posición en opciones
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Paridad Put-Call: posiciones sintéticas
•
Estrategias Estra tegias con futuros y opciones más comunes: 1. Pa Para ra mer merca cados dos al alci cist stas as 2. Par ara a mer merca cado doss baji bajist stas as 3. Pa Para ra mer merca cados dos la late tera rale less 4. Pa Para ra ca capt ptur urar ar vol volat atil ilid idad ad
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¿Qué es una Opción? Conclusión
•
•
Una opción es un contrato que otorga a su propietario el derecho a comprar o el derecho a vender una cantidad fija de cierto activo subyacente a un precio específico (precio de ejercicio) en o hasta un fecha determinada. Existen dos tipos de Opciones: Puts y Calls. 1. Un Put otorga a su propietario el derecho a vender el activo subyacente al precio de ejercicio de la opción.
2. Un Call otorga a su propietario el derecho a comprar el activo subyacente al precio de ejercicio de la opción. •
Como en cualquier transacción, existen dos partes en un contrato
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Opciones Merval: definiciones gener generales ales Conclusión
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Activo Subyacente: valor negociable objeto del contrato (ej. GGAL,YPFD, ERAR, etc.).
•
Lote: es la cantidad predeterminada de activos subyacentes objeto de negociación. Unidad mínima de negociación.
•
Titular (Tenedor/Tomador): sujeto que adquiere la opción y por lo tanto el único que la puede ejercer.
•
Lanzador: sujeto que vende la opción. Por lo tanto, se obliga a cumplir con el derecho que la opción otorga al titular.
•
Prima: es el precio de la opción, es decir, el monto que paga el titular al lanzador a cambio de la cesión de los derechos que otorga otorga la opción.
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Opciones Merval: Mer val: definiciones importantes Conclusión
•
Serie: se refiere al conjunto integrado por el activo subyacente, el tipo de opción (de venta o de compra), el precio de ejercicio y la fecha de vencimiento. vencimient o. Ej. GFGC40.0JU: call de galicia con strik strike e 40 y vto. Junio 2016; GFGV40.0JU: Put de Galicia “” “”.. https://www.bolsar.com/VistasDL/PaginaFuturosOpciones.aspx
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Valor de la Opción Conclusión
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La prima de la Opción tiene dos fuentes de valor: Valor Intrínseco y Valor Tiempo
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Prima= Valor Intrínseco+ Valor Tiempo Valor Intrínseco: es el máximo entre cero y la ganancia que proporcionaría la opción si se •
ejerciera inmediatamente. •
El valor mínimo de una opción Americana ITM es su valor intrínseco: A. Call=M Call=Máx(0 áx(0,Pre ,Precio cio del Suby Subyacen acente-P te-Prec recio io de Ejer Ejercicio cicio)) B. Put=M Put=Máx(0 áx(0,Pr ,Precio ecio de Ejer Ejercicio cicio-Pre -Precio cio de Suby Subyacen acente) te)
•
Valor Tiempo: •
Valor tiempo = prima - valor intrínseco. »
»
Representa para el comprador la posibilidad de que con el tiempo la opción adquiera valor intrínseco. Las opciones OTM no tienen valor intrínseco. Su valor consiste sólo en valor
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Terminología de las Opciones Conclusión
•
At The Money (ATM): –
Precio del Activo Subyacente = Precio de Ejercicio
–
Call o Put -> Precio Subyacente = Precio de Ejercicio
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Negociación: aspectos important importantes es Conclusión
•
Plazo de liquidación de las operaciones: 1. Pr Priima mas: s: 24h 24hs. s. (T+ (T+1) 1) 2. Ej Ejer erci cici cio: o: 72h 72hs. s. (T+ (T+3) 3)
•
Última rueda de negociación: es la que corresponde al día hábil inmediato anterior a la fecha de vencimiento, en el horario previsto para el primer
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Tipo de Ejercicio Conclusión
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Según el estilo de ejercicio las opciones se clasifican en: 1.
Americanas: la opción se puede ejercer en cualquier momento desde su adquisición hasta la fecha de vencimiento.
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Compraa de una Opción de Compra (Call) Compr Conclusión
•
Por qué alguien compraría “el el derecho derecho a comprar” comprar” una una acción en lugar de comprar directamente la acción? •
La respuesta dependerá de las motivaciones y las expectativas del
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•
Supongamos que nuestro inversor tiene las siguientes expectativas respecto a Petrobras: 1.
Cree Cr ee que que la la acción acción va a sub subir ir un un 20% 20% en el pró próxim ximo o mes(e mes(en n rela relación ción al
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Compraa de Call: conclusiones Compr
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Venta de Put: Lanzamiento descubierto (Naked Put) Conclusión Precio de la Acción a Vto. $ $ $ $ $ $ $ $ $
31,30 33,30 35,30 37,30 39,30 41,30 43,30 45,30 47,30
Garantías Depositadas $ $ $ $ $ $ $ $ $
2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00
Resultado Ejercicio $ $ $ $ $ $ $ $ $
-17.400,00 -13.400,00 -9.400,00 -5.400,00 -1.400,00 -
Ingreso por Primas $ $ $ $ $ $ $ $ $
2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00 2.600,00
Resultado Venta Put 40 $ -14.800,00 $ -10.800,00 $ -6.800,00 $ -2.800,00 $ 1.200,00 $ 2.600,00 $ 2.600,00 $ 2.600,00 $ 2.600,00
Rendimiento % sobre Inmovilización de Garantías -569,2% -415,4% -261,5% -107,7% 46,2% 100,0% 100,0% 100,0% 100,0%
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Venta de Put: gráfico de resultados Conclusión
BEP=PE-Prima=$38,70 Máxima Ganancia=$2.600
Pérdidas ilimitadas
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Razones para lanzar PUTs Conclusión •
•
¿Por qué un inversor estaría a asumir un riesgo tan significativo a cambio de obtener una ganancia limitada? Existen fundamentalmente dos razones: 1.
En el ejem ejemplo plo ant anteri erior or,, el inve invers rsor or esper espera a obtene obtenerr ganan ganancia ciass en un mercado neutral a moderadament moderadamente e alcista.
2.
Otra razón Otra razón para para el el ejempl ejemplo o anteri anterior or,, puede puede ser que que al preci precio o actual actual de la acción de $41,30, el inversor no esté dispuesto a adquirir la acción, pero sí, si el precio cae por debajo de $40; mediante esta estrategia
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Paridad Put-Call Conclusión •
•
La prima de las opciones de compra (Calls) y opciones de venta (Puts) con el mismo strike, sobre un mismo subyacente e igual fecha de vencimiento están vinculadas por una relación matemática. Esta relación está definida por la paridad Put-Call, las cual se basa en la construcción sintética de carteras con idénticas propiedades a partir de la combinación de una posición en opciones junto con una posición en el activo subyacente (acción, futuro, etc.).
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Paridad Put-Call Conclusión •
•
Antes de avanzar con la definición formal de paridad put-call analicemos el siguiente ejemplo: Supongamos que un inversor desea invertir en una acción, pero con riesgo limitado en caso de baja en el precio. Para ello analiza dos alternativas: 1. Compra Comprarr la acc acción+ ión+co compr mprar ar un un Put Put con con un un precio precio de ejercicio “X” 2. Com Compr prar ar un Call Call co con n un pr prec ecio io de de ejer ejercic cicio io “X”
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Paridad Put-Call Conclusión •
Conceptualmente, la compra de un call tiene el mismo perfil riesgo/retorno (ganancias ilimitadas en caso de suba y pérdidas limitadas en caso de baja de precios) que un protective put .
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Paridad Put-Call: Ejemplo Conclusión •
Tenemos los siguientes datos: 1.
La acción “A” A” tiene tiene un precio S0=$40
2.
El ca call ll a un un mes mes so sobr bre e la la acc acció ión n “A”, “A”, con con un strike X=$42 cotiza con un prima c=$2
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Long Call vs. Protective Put Conclusión Protective PUT (Long PUT+Long Acción) Rdo. compra Intereses Precio de la Acción Rdo. compra Put Rdo. compra Resultado Call $42 a vto. (Costo de $42 a vto. Acción a $40 Protective Put oportunidad)* -2,00 $ 8,00 $ -10,00 $ -1,01 $ -3,01 $ 30,00 $ $ 32,00 $ -2,00 $ 6,00 $ -8,00 $ -1,01 $ -3,01
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Long Call vs. Protective PUT Conclusión •
Dado que ambas alternativas son equivalentes en términos del perfil riesgo/ret ri esgo/retorno: orno: 1. Rie Riesgo sgo lim limit itado ado en en caso caso de baja de la la acción acción 2. Exposic Exposición ión al preci precio o de la acci acción ón a partir partir de $42 (strik (strike e de la opción opción))
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Long Call vs. Protective Put Conclusión •
Cuánto deberían costar el call y el Put exactamente? Eso no lo sabemos, pero lo que sí podemos establecer es a partir del valor de la prima del Put determinar cuál sería el valor de equilibrio del call y viceversa.
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Paridad Put-Call para opciones Europeas sobre acciones
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¿Paraa qué nos sirve entender la Paridad Put-Call? ¿Par
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Aplicación Paridad Put-Call
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Compra de Put como cobertura de una cartera: Protective Protective Conclusión Put •
•
•
•
En el caso anterior vimos que la compra de un put formaba parte de una estrategia bajista (bearish). Veamos el caso de un inversor que actualmente tiene en cartera 1.000 acciones de Petrobras cuyo precio es de $48,70. 1.
Tiene una Tiene una visión visión alcis alcista ta del del merc mercado ado,, pero le pre preocu ocupa pa la volat volatilid ilidad ad del del merc mercado ado para para el próximo mes.
2.
Por ello deci Por decide de prote proteger ger su inv inver ersió sión n en caso caso de que que la llega llegada da de de malas malas notic noticias ias desa desate te una fuerte corrección en el mercado, afectando la rentabilidad de la cartera.
Para cubrir su cartera el inversor decide comprar 10 lotes (1.000 puts). PBRV50.40JU a un costo de $4.20 ($4.20*10*100=$4200 invertidos en primas). Al hacer esto establece “un seguro” sobre su cartera, que le garantiza vender sus
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Resultados Resulta dos Protective Put: Compra de Put+Acciones Put+Acc iones Conclusión Inversión Inicial
Protective Put
Precio de la Valor Actual de la Valor Final de Resultado Inversión en Resultado Acción a Vto. la Cartera Cartera de Total Compra Put Resultado Primas PUT Acciones Acciones 50,4 48.700,00 $ 4.200,00 $ 52.900,00 $ 10.000,00 $ -12.500,00 $ -2.500,00 $ 50.400,00 $ 36,20 $ 38,70 $ 41,20 $
48.700,00 $
4.200,00 $ 52.900,00 $
7.500,00 $
-10.000,00 $
-2.500,00 $ 50.400,00
48.700,00 $
4.200,00 $ 52.900,00 $
5.000,00 $
-7.500,00 $
-2.500,00 $ 50.400,00
48.700,00 $
4.200,00 $ 52.900,00 $
2.500,00 $
-5.000,00 $
-2.500,00 $ 50.400,00
$
43,70 $ 46,20 $
48.700,00 $
4.200,00 $ 52.900,00 $
-0,00 $
-2.500,00 $
-2.500,00 $ 50.400,00
$
48,70 $
48.700,00 $
4.200,00 $ 52.900,00 $
-2.500,00 $
-
$
-2.500,00 $ 50.400,00
$
51,20 $
48.700,00 $
4.200,00 $ 52.900,00 $
-4.200,00 $
2.500,00 $
-1.700,00 $ 51.200,00
$ $ $
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Resultados Resulta dos Protective Put: Compra de Put+Acciones Put+Acc iones Conclusión
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Conclusiones Protective Put: Compra de Put+Acciones Conclusión •
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•
Como podemos apreciar esta estrategia estrategia produce efectos equivalentes equivalentes a la compra de un call+depósito en efectivo. Por ejemplo, en este caso ante el temor a un u n incremento en la volatilidad del mercado, el inversor podría haber vendido las acciones de Petrobras Petrobras por un total de $48.700, comprar 1.000 calls PBRC50.40JU e invertir a tasa el efectivo necesario para obtener una suma igual $50.400 (Caución o LEBAC). El efecto sería similar a comprar puts sobre la cartera y mantener las acciones. De ahí que las dos estrategias estrategias (compra call+cash=compra put+acciones se denominen de la misma manera “Protective “Protective Put).
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Ejercicio Protective Put Conclusión •
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•
Suponga un inversor inversor que tiene 2000 acciones de Galicia. Actualmente el precio de las acciones es $41.30. El put GFGV40.0JU se negocia actualmente con una prima de $1.30. Estime los siguientes parámetros. Para un protective put en base a los datos anteriores. anteriores.
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Ejercicio: Estime los resultados del Protective Put para los Conclusión de precios siguientes escenarios Valor actual de Galicia=$41.30 Prima Put GFGV40.0JU =$1.30
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Ejercicio: Protective Put con Calls+Efectivo Calls+Efectivo Conclusión •
Analice la alternativa para nuestro inversor de realizar un protective protective put con calls empleando el call GFGC40.0JU que actualmente cotiza a $3.5. (pasos: Vender las 2000 acciones, compr comprar ar 2000 calls e
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Ejercicio: estime los resultados del Protectiv Protective e Put Conclusión a Tasa) (Calls+Inversión
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Cash Secured Put: Venta de Put+Efectivo Conclusión •
•
El riesgo que enfrenta el lanzador descubierto de puts es cómo financiar la compra de las acciones en caso de que la opción sea ejercida por el titular titular.. Un estrategia conservadora conservadora es lanzar un put y guardar suficiente efectivo para hacer frente al eventual ejercicio.
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Cash Secured Put: cálculo de indicadores i ndicadores Conclusión •
Tasa de lanzamiento: Es el rendimient rendimiento o que obtengo por la estrategia considerando que el precio de la acción se mantiene en el nivel actual hasta el vencimiento de la opción. Tasa de Lanzamiento= (Prima- Valor Intrínseco de la Opción Vendida)/(Precio de Ejercicio Prima)*365/Tiempo (*)
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Cash Secured Put: ejemplo venta de Put+efectivo
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Cash Secured Put vs Covered Call
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Venta de Put: conclusiones
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Call Bull Spread: estrategia estrategia alcista con ganancia y riesgo
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Factores Factor es que afectan el precio de una opción Conclusión
1. El pr preci ecio o del del ac acti tivo vo su suby byac acen ente te (St (St)) 2. El pr prec ecio io de ej ejer erci cici cio o (K) (K) 3. El ti tiem empo po al ve venc ncim imie ien nto (T (T)) 4. La vo vola latil tilida idad d esper esperada ada de los los re reto torno rnoss del del pre precio cio del activo subyacen subyacente( te( σ) 5. La tas tasa a lilibr bre e de de ri ries esg go (rf (rf))
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Factores Factor es que afectan el precio de una opción Conclusión
•
Podemos pensar al precio de una opción como una función de estas seis variables: c=f(S ,K, ,K,T ,σ ,q) t T,r f p=f(S ,K, ,K,T ,σ ,q) t T,r f
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Factores Factor es que determinan el precio de las opciones opcion es Conclusión
Variable Precio del subyacent subyacente e Precio de ejercicio Tiempo hasta el vencimiento Volatilidad
Opción de compra
Opción de venta
+ -
+
+ + (americanas) (americanas) + +
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Los modelos de valuación Conclusión
•
Son una simplificación de la realidad -Precio del activo subyacente -Precio de ejercicio -Tiempo hasta la expiración -Volatilidad -Tasa de interés
Modelo de valuación
Prima Teórica
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Distintos Distint os modelos Conclusión
•
•
•
Arboles Binomiales (Cox – – Ross – – Rubinstein): desarrollado para opciones europeas y americanas. Black-Scholes: desarrollado para opciones europeas. (Black para opciones sobre futuros y GarmanKohlhagen para para opciones sobre monedas). Barone-Adessi-Whaley:
adaptación
del
Modelo
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Letras Griegas Conclusión •
Trazar el gráfico de resultados de las opción a vencimiento es útil para entender cómo se va a comportar nuestra estrategia en función de distintas escenarios de precios.
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Análisis de sensibilidad: Letra Letrass Griegas
1. Delta(Δ) 2. Gamma(Γ) 3
( )
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Letras Griegas
•
El valor teórico de una opción es función de 6 parámetros (S,K,T,rf ,σ,q).
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Letras Griegas
•
Las sensibilidades y riesgos están basadas en los modelos matemáticos usados para el pricing de las opciones.
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Letras Griegas
1. Medi Medició ción n del del ries riesgo go de las las op opcio cione ness fren frente te a cambios en los parámetros parámetros individuales de mercado. 2. Cr Creac eación ión sin sinté tétic tica a de los pa payo yoff ffss de las opc opcion iones es
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Delta
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GAMMA: impacto en la posición
•
Compra de opciones=gamma positivo.
•
Venta de opciones=gamma opc iones=gamma negativo. ne gativo.
•
•
El gamma hace que las opciones ganen valor a una tasa más rápida y pierdan a una más lenta (que lo que predice el delta). Por lo tanto, tanto, el gamma ayuda al comprador de
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GAMMA-Moneyness
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GAMMA-Moneyness
•
•
Si la opción está muy OTM o ITM, estas tienen un delta de 0 ó ±1. En los extr extremos, emos, pequeños cambios en el precio del subyacente no causan mayores cambios en el delta. Cuando la l a opción opción está ATM, ATM, su delta cambia rápidamente.
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GAMMA-efecto GAMMA-efect o del tiempo
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GAMMA-efecto GAMMA-efect o del tiempo
•
•
Una caída en el tiempo a vencimiento incrementa la probabilidad de que una opción ITM, termine ITM, y de que una opción OTM, termine OTM. Si una opción se encuentra ATM, ATM, la incertidumbre sobre si termina ITM u OTM
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GAMMA-efecto GAMMA-efect o del tiempo
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A mayor volatilidad, mayor gamma para las opciones ITM y OTM.
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GAMMA de una cartera •
El gamma de una cartera que depende de una sólo activo, es igual a la suma ponderada de los gammas de las opciones incluidas en la cartera:
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Cartera GAMMA neutral
•
El activo subyacente o un contrato forward sobre este activo no pueden utilizarse para cambiar el gamma de la cartera. Estos tienen
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Cartera GAMMA neutral
•
Si una cartera cartera delta neutral neutral tiene una gamma igual a Γ, la opción operada tiene una gamma ΓT ,y el número de opciones que se agregan es wT , el gamma de la carter cartera a será:
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Carteraa GAMMA neutral - Ejemplo Carter •
Tenemos las siguientes opciones de galcia, con los parámetr parámetros os de riesgo que se muestran mue stran en el cuadro siguiente: Opc i ó n GFGC14,5AG
De l t a 0 ,5 ,5 0
Ga mm a
Th e t a
Ve ga
0 ,2 ,2 34 34 73 73
-0 ,0 ,0 45 45 62 62 0 ,0 ,0 08 08 48 48
Rho 0, 0, 00 00 14 14 4
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Vega-Efecto del tiempo
•
•
El paso del tiempo hace que las opciones pierdan valor tiempo. Consecuentemente, vega se hace más pequeño con el transcurso del tiempo.
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Vega-Efecto de la volatilidad
•
•
Opciones ATM tienden tiend en a tener un vega constante constant e ante diferentes valores de volatilidad (VI). Opciones OTM e ITM tienen vegas menores ante VI bajas y mayores ante VI altas.
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Rho
•
•
Mide la sensibilidad de la opción frente a cambios en la tasa de interés.
Es la derivada primera primera del precio de la opción con respecto a la tasa de interés.
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Consideraciones Generales
•
•
•
Cada uno de estos parámetros se calcula mediante la fórmula de derivadas parciales, asumiendo que nuestro modelo de valuación es el correct correcto. o. Son conceptos dinámicos, que cambian según las variaciones en el precio del subyacente, el tiempo, la volatilidad y la tasa de interés. Por ende un inversor nunca sabe cuáles son las griegas reales de su cartera, ello depende que su estimación de la l a volatilidad
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Precios y Volatilidad: Resumen de Estrategias
Expectativas de Volatilidad
Expectativas de Precios Alcistas moderadas
Alcistas
Bajistas Moderadas
Long Call Alcistas
Neutrales
Long Put
Protective Put
Long Cono, Cuna
Long Cono, Cuna
Covered Call ATM y OTM
Bajistas
Short Call
Short Cono,
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Precios y Riesgo Precios en Alza Riesgo limitado
Riesgo ilimitado Long
Precios en Baja Riesgo limitado
Riesgo ilimitado Short
Precios Neutrales Riesgo limitado
Riesgo ilimitado
Precios Indefinidos Riesgo limitado
Riesgo ilimitado
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Estrategias sintéticas para opciones europeas que no pagan dividendos
Estrategia Estrategia Long Bull Spread
Put&Calls -(X
-rT-S
Con Calls )
Con Puts +(X -X )e-rT
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Bibliografía
•
Introducción a los Mercados de Futuros y Opciones. John C. Hull. Sexta Edición. Prentice Hall 2009.
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