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EconoQuantum

versión On-line ISSN 2007-9869versión impresa ISSN 1870-6622

Resumen

OLMOS, Andrés  y  MURIEL, Nelson. Accurate delta hedging of european options using conformable calculus. EconoQuantum [online]. 2024, vol.21, n.1, pp.59-69.  Epub 17-Mayo-2024. ISSN 2007-9869.  https://doi.org/10.18381/eq.v21i1.7324.

Objective:

we aim to develop a method for delta hedging portfolios of European options based on the theory of conformable calculus which improves accuracy of risk management of listed options in a first-order approximation.

Methodology:

we allow the time derivative in the classic Black-Scholes-Merton model to have a fractional order 0 α 1 and calculate the corresponding delta of a portfolio of listed options as a function of this conformable parameter.

Results:

applying this method to a portfolio consisting of eight European options on the SPX index, we find that conformable delta hedging offers more accurate average predictions than classical delta hedging.

Limitations:

this method is applicable for delta hedging in European options only.

Originality:

this is the first successful application of conformable calculus to delta hedging in European options.

Conclusions:

application of Conformable Calculus allows for a greater flexibility in the local approximation to price in delta-hedging European options and offers a new and more precise methodology to this objective.

Palabras llave : option pricing; delta hedging; conformable calculus; risk management; G12; G17; G19.

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