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For example, suppose a put option with a strike price of $100 for ABC stock is sold at $1.00 and a put option for ABC with a strike price of $90 is purchased for $0.50, and at the option's expiration the price of the stock or index is greater than the short put strike price of $100, then the return generated for this position is:
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 ...
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.
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If the stock closes below the strike price at option expiration, the trader must buy it at the strike price. Example : Stock X is trading for $20 per share, and a put with a strike price of $20 ...
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where (,) is the price of the option as a function of stock price S and time t, r is the risk-free interest rate, and is the volatility of the stock. The key financial insight behind the equation is that, under the model assumption of a frictionless market , one can perfectly hedge the option by buying and selling the underlying asset in just ...
If the price of the underlying stock is above a call option strike price, the option has a positive intrinsic value, and is referred to as being in-the-money. If the underlying stock is priced cheaper than the call option's strike price, its intrinsic value is zero and the call option is referred to as being out-of-the-money. An out-of-the ...