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  2. Monte Carlo methods for option pricing - Wikipedia

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

    Here the price of the option is its discounted expected value; see risk neutrality and rational pricing. The technique applied then, is (1) to generate a large number of possible, but random, price paths for the underlying (or underlyings) via simulation, and (2) to then calculate the associated exercise value (i.e. "payoff") of the option for ...

  3. Valuation of options - Wikipedia

    en.wikipedia.org/wiki/Valuation_of_options

    In finance, a price (premium) is paid or received for purchasing or selling options.This article discusses the calculation of this premium in general. For further detail, see: Mathematical finance § Derivatives pricing: the Q world for discussion of the mathematics; Financial engineering for the implementation; as well as Financial modeling § Quantitative finance generally.

  4. Finite difference methods for option pricing - Wikipedia

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

    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. The discrete difference equations may then be solved iteratively to calculate a price for the option. [4]

  5. The option Greeks: The key factors that move option prices - AOL

    www.aol.com/finance/option-greeks-key-factors...

    For example, a calculator lets you raise the current stock price and assume 10 fewer days to the option’s expiration, and then figures out the estimated value of the option at that point.

  6. How implied volatility works with options trading

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

    To use these models, traders input information such as the stock price, strike price, time to expiration, interest rate and volatility to calculate an option’s theoretical price. To find implied ...

  7. Black–Scholes model - Wikipedia

    en.wikipedia.org/wiki/Black–Scholes_model

    In fact, the Black–Scholes formula for the price of a vanilla call option (or put option) can be interpreted by decomposing a call option into an asset-or-nothing call option minus a cash-or-nothing call option, and similarly for a put—the binary options are easier to analyze, and correspond to the two terms in the Black–Scholes formula.

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