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Payoff of geometric Asian call option can be calculated by substituting the arithmetic average price of the underlying asset with its geometric equivalent. You are welcome to learn a range of topics from accounting, economics, finance and more. Star 3k.

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As the underlying changes, the proportions of the instruments forming the portfolio may need to be adjusted to keep the sensitivities within the desired range. About Authors Contact Privacy Disclaimer. Refer to data in Example 1 above, but assume that another trader bought a geometric put option with the same exercise price i. Hedging is an insurance to minimize exposure to market movements on the value of a position or portfolio. The Kemna-Vorst method is based on the geometric mean of the price of the underlying during the life of the option [1].

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An Asian option is an example of an option that has a path dependent payoff. This makes it ideally suited for pricing using the Monte-Carlo approach. The following MATLAB code is for generating a user specified number of simulated asset paths and then using those paths to price a standard Asian Put and Call option. Jul 20,  · Asian option (also known as average price option) is an option whose payoff is determined with respect to the (arithmetic or geometric) average price of the underlying asset over the term of the option.. While the payoff of a standard (American and European) option depends on the price of the underlying asset at a specific point of time i.e. the exercise date, the payoff of an Asian option. Asian Option Pricing: Monte Carlo Control Variate A discrete arithmetic Asian call option has the payo 1 N+ 1 XN i=0 S Ti N K! + A discrete geometric Asian call option has the payo 0 @ " YN i=0 S Ti N # 1 N+1 K 1 A + It is known that in the Black-Scholes model the price of the geometric Asian call option is given by e rT(S 0e ˆTN(d 1) KN(d 2.

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Pricing Arithmetic Asian Options using Moment Matching

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