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Proactive hedging European option pricing with a general logarithmic position strategy - MaRDI portal

Proactive hedging European option pricing with a general logarithmic position strategy (Q2073577)

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scientific article; zbMATH DE number 7468547
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Proactive hedging European option pricing with a general logarithmic position strategy
scientific article; zbMATH DE number 7468547

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    Proactive hedging European option pricing with a general logarithmic position strategy (English)
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    2 February 2022
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    Summary: This study proposes an exotic option that extends the classical European option by requiring option holders to continuously trade in underlying assets according to a predesignated trading strategy with a general logarithmic position. The pricing formula for the exotic option with a general logarithmic strategy is derived from the Black-Scholes option pricing formula, and its price advantage is compared (based on simulations) to the classical European option and to the exotic option with a linear position. By varying key parameters, we found that the exotic option with a general logarithmic position has a significant price advantage (up to 34\% under certain parameter settings) over the classical European option. Moreover, the exotic option with a general logarithmic strategy can save 5.5\% more of the option premium than applying a linear position strategy. Our simulation results indicate that the price advantage of this proactive hedging option with a general logarithmic strategy depends heavily on the initial amount of capital; in particular, this exotic option is more suitable for traders with limited initial amounts of capital.
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