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  2. Margrabe's formula - Wikipedia

    en.wikipedia.org/wiki/Margrabe's_formula

    The payoff of the option, repriced under this change of numeraire, is max(0, S 1 (T)/S 2 (T) - 1). So the original option has become a call option on the first asset (with its numeraire pricing) with a strike of 1 unit of the riskless asset. Note the dividend rate q 1 of the first asset remains the same even with change of pricing.

  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. Stock option return - Wikipedia

    en.wikipedia.org/wiki/Stock_option_return

    The break-even point is the stock purchase price minus the net of the call option price and the put option price. Break-even = $52.5 - ($2.00 - $0.50) = $51.00 As long as the price of the JKH stock is greater than $51 at stock option expiration, the position will be profitable.

  5. How implied volatility works with options trading

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

    Many options calculators will simply provide the implied volatility for you when you input the stock’s ticker symbol. Factors influencing implied volatility Implied volatility can be influenced ...

  6. Black's approximation - Wikipedia

    en.wikipedia.org/wiki/Black's_approximation

    The method essentially entails using the BS formula to compute the value of two European call options: (1) A European call with the same maturity as the American call being valued, but with the stock price reduced by the present value of the dividend, and (2) A European call that expires on the day before the dividend is to be paid. The largest ...

  7. Call option - Wikipedia

    en.wikipedia.org/wiki/Call_option

    In finance, a call option, often simply labeled a "call", is a contract between the buyer and the seller of the call option to exchange a security at a set price. [1] The buyer of the call option has the right, but not the obligation, to buy an agreed quantity of a particular commodity or financial instrument (the underlying) from the seller of ...

  8. 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.

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