Estrategias de cobertura (hedging) y cómo entender el RTP para tomar decisiones prácticas

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¡Espera… no te lances sin calcular!

Si vas a cubrir una apuesta (hedge), lo primero que debes saber es esto: el hedge no borra la varianza ni convierte una mala expectativa en buena; solo redistribuye riesgo. Aquí tienes pasos prácticos para decidir si conviene cubrir y cómo hacerlo con números claros.

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)

¿Qué es hedging y por qué importa ahora mismo?

Algo no cuadra si crees que cubrir siempre es “seguro”.

Hedging significa apostar en la dirección opuesta para asegurar (parcial o totalmente) un resultado. Se usa mucho en apuestas deportivas y en mercados financieros, y en casinos aparece como “cashout” o apuestas contrarias en vivo.

La intención es reducir riesgo, no aumentar EV (valor esperado). Si la expectativa original es negativa, un hedge mal calculado solo te dará menos pérdida, no una ganancia esperada mayor a largo plazo.

RTP, ventaja de la casa y cómo influyen en tu hedge

Mi instinto dice: primero calcula la expectativa. Luego decide.

RTP (Return to Player) es el promedio teórico que el juego devuelve al jugador en el largo plazo. Si una tragamonedas tiene RTP 96%, la expectativa por cada $100 jugados es recibir $96 (esperanza matemática), pérdida esperada $4.

Pero atención: RTP es sobre millones de tiradas; en pocas sesiones la desviación es enorme. Eso cambia totalmente la utilidad de un hedge: en slots no hay «contraparte» para cubrir fácilmente; en apuestas deportivas sí.

Regla rápida: hedgea cuando la utilidad de reducir varianza en tu sesión vale más que la esperanza perdida por el coste del hedge.

Mini-guía numérica: cómo calcular un hedge en apuestas deportivas

Primero un ejemplo práctico.

Caso 1 — Ejemplo básico (fútbol):

  • Apuesta inicial: $100 a cuota 3.00 (decimal) por A. Si A gana: cobras $300 (beneficio $200).
  • Ahora A va ganando y dan cashout o aparece la opción de apostar a B con cuota 2.20.
  • ¿Cuánto apostar a B para igualar el resultado sea cual sea el final?

Fórmula para stake al hedging (S):

S · o2 = beneficio garantizado + pérdida del stake original

Sea R el retorno si A gana después de apostar S a B: R = 300 − S (si la apuesta a B pierde).

Si B gana: R’ = S·2.20 − 100 (pierdes el stake inicial).

Igualamos R = R’ → 300 − S = 2.20S − 100 → 300 + 100 = 3.20S → S = 400 / 3.20 = $125.

Resultado:

  • Si A gana: recibes $300, pierdes $125 = $175 neto.
  • Si B gana: recibes $275 (2.20·125), pierdes $100 = $175 neto.

Conclusión: con S = $125 aseguras $175 sin importar el final. ¿Te conviene? Depende de tu aversión al riesgo y de la EV esperada si no hedgearías.

Cómo evaluar si hedgear mejora tu resultado

Espera… pregunta clave: ¿cuál era tu objetivo?

¿Buscabas asegurar ganancias parciales, proteger capital para retirar, o minimizar pérdidas? Responder esto define la regla práctica.

Checklist de decisión (rápido):

  • ¿Obtengo un beneficio garantizado aceptable al hedging?
  • ¿El coste del hedge (comisiones, margen, vig) reduce demasiado mi EV?
  • ¿Mi bankroll necesita protección ahora (para pagar gastos, por ejemplo)?
  • ¿Hay alternativas (cashout, vender posición) con mejor ratio riesgo/beneficio?

Comparación de enfoques de cobertura

Método Ventaja Desventaja
Cobertura completa (stake proporcional) Resultados idénticos en ambos finales Puede requerir stake grande; reduce EV
Hedge parcial Reduce varianza sin sacrificar toda la upside Aún deja riesgo; decisión subjetiva
Cash-out ofrecido por operador Rápido y simple Operador ofrece precio con margen en tu contra
Sell bet en exchanges Mejor precio posible si hay mercado Requiere cuenta en exchange y liquidez

Un par de mini-casos reales (hipotéticos pero prácticos)

Caso A — Torneo de tenis:

Aposté $200 a 1.80 por Jugador X. Llega a 1 set arriba y odds caen a 1.10 a favor de X; puedo apostar al oponente a 6.00. Aplicando cálculo de cobertura parcial, aposté $40 al oponente para reducir riesgo extremo. Resultado: si X gana, mi beneficio baja de $160 a $120; si X pierde, mi pérdida se reduce considerablemente. Objetivo alcanzado: proteger ganancias parciales y mantener upside.

Caso B — Slot y RTP:

Intentar «hedgear» una slot no es práctico: RTP 96% no es una cuota contra la que apostar. Si buscas reducir varianza en slots, hazlo vía límites de apuesta y stop-loss. Ejemplo: sesión bankroll $200, stop-loss $60 (30%), objetivo de retiro $120 (60%). No hedge matemático, gestión de dinero.

Errores comunes y cómo evitarlos

  • Confundir volatilidad con esperanza matemática. Evita cubrir por pánico; calcula primero.
  • Hedging demasiado tarde: el precio puede ser peor y costarte más.
  • No considerar comisiones y margen del operador: en exchanges o cashout eso come tu beneficio.
  • Hedging sobre bonos con requisito de apuesta (WR): si estás cumpliendo rollover, cubrir puede invalidar condiciones.

Quick Checklist antes de cubrir

  • Calcula EV original y EV después del hedge.
  • Calcula stake necesario para cubrir y el beneficio garantizado.
  • Verifica comisiones, límites y políticas KYC/retiro del operador.
  • Decide si buscas seguridad (menor varianza) o upside (mayor EV potencial).
  • Si juegas en casinos online sin licencia visible, evita prácticas complejas: usa operadores regulados.

Herramientas y recursos prácticos

Para calcular stakes de hedge puedes usar una hoja simple con estas fórmulas o apps de apuestas que resuelven stakes automáticamente. Si operas en mercados líquidos, compara precio de cashout del operador con vender tu apuesta en un exchange.

Si solo quieres probar estrategias en un entorno controlado, puedes alternar apuestas en una cuenta de bajo riesgo y probar la función de cashout para ver su impacto en tu EV y psicología.

Recomendación práctica y enlace útil

Si lo que buscas es practicar y entender cómo se comportan cashouts y cuotas en vivo, prueba la plataforma y el flujo de mercado antes de arriesgar capital importante. Para experimentar con cashouts y probar productos, puedes echar un vistazo a opciones de juego en línea donde probar dinámicas sin apuestas altas — por ejemplo, considera abrir sesión y probar funciones como cashout y apuestas en vivo en sitios de prueba como start playing cuando desees familiarizarte con la interfaz y las probabilidades reales (hazlo siempre con responsabilidad).

Mini-FAQ

Preguntas rápidas

¿Cubrir reduce mis pérdidas siempre?

En la mayoría de los casos, sí reduce la varianza y puede limitar pérdidas, pero no cambia una expectativa negativa a positiva. Calcula si la reducción de riesgo compensa la pérdida de posible ganancia.

¿Puedo cubrir una slot con RTP bajo?

No de forma directa. Slots no tienen “contraparte” para apostar. Usa gestión de bankroll: límites de sesión, stop-loss y objetivos de retiro.

¿Qué impacto tiene la comisión o vig?

La comisión reduce tu beneficio garantizado. Siempre inclúyela en los cálculos: si usas exchange, resta el fee al retorno; si usas cashout, compara la oferta con el resultado teórico del hedge.

18+. Juega con responsabilidad. Si crees que tienes un problema con el juego, solicita ayuda: en México puedes consultar recursos de apoyo y líneas de ayuda locales. Verifica siempre la licencia y KYC/AML del operador antes de depositar fondos.

Fuentes

  • https://www.gob.mx/segob
  • https://www.ecogra.org
  • https://www.itechlabs.com

About the Author

{author_name}, iGaming expert. Experiencia práctica en apuestas deportivas y gestión de riesgo; enfocado en explicar la matemática aplicable y promover juego responsable.

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