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  2. Options Price Reporting Authority - Wikipedia

    en.wikipedia.org/wiki/Options_Price_Reporting...

    A significant gauge of the level of options market data is messages per second (MPS), which is the number of messages (i.e., options trade and quote data) reported to OPRA by the options exchanges during any given second of a trading day. Data volume has increased dramatically since the early 1990s, as illustrated in the following table. [2] [3 ...

  3. How implied volatility works with options trading

    www.aol.com/finance/implied-volatility-works...

    The most common option pricing model is the Black-Scholes model, though there are others, such as the binomial and Monte Carlo models. ... It’s calculated using historical price data. While HV ...

  4. Monte Carlo methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_methods_for...

    The first application to option pricing was by Phelim Boyle in 1977 (for European options). In 1996, M. Broadie and P. Glasserman showed how to price Asian options by Monte Carlo. An important development was the introduction in 1996 by Carriere of Monte Carlo methods for options with early exercise features.

  5. Volatility (finance) - Wikipedia

    en.wikipedia.org/wiki/Volatility_(finance)

    Volatility as described here refers to the actual volatility, more specifically: . actual current volatility of a financial instrument for a specified period (for example 30 days or 90 days), based on historical prices over the specified period with the last observation the most recent price.

  6. Market data - Wikipedia

    en.wikipedia.org/wiki/Market_data

    Specialized software and hardware systems called ticker plants are designed to handle collection and throughput of massive data streams, displaying prices for traders and feeding computerized trading systems fast enough to capture opportunities before markets change. When stored, historical market data is a type of time series data.

  7. Implied volatility - Wikipedia

    en.wikipedia.org/wiki/Implied_volatility

    Inputs to pricing models vary depending on the type of option being priced and the pricing model used. However, in general, the value of an option depends on an estimate of the future realized price volatility, σ, of the underlying. Or, mathematically: = (,) where C is the theoretical value of an option, and f is a pricing model that depends ...

  8. Finite difference methods for option pricing - Wikipedia

    en.wikipedia.org/wiki/Finite_difference_methods...

    Finite difference methods were first applied to option pricing by Eduardo Schwartz in 1977. [2] [3]: 180 In general, finite difference methods are used to price options by approximating the (continuous-time) differential equation that describes how an option price evolves over time by a set of (discrete-time) difference equations.

  9. Binomial options pricing model - Wikipedia

    en.wikipedia.org/wiki/Binomial_options_pricing_model

    In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses a "discrete-time" ( lattice based ) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting.