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Technological University Dublin

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2020

American options

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American Option Pricing: Optimal Lattice Models And Multidimensional Efficiency Tests, Qianru Shang, Brian Byrne Jan 2020

American Option Pricing: Optimal Lattice Models And Multidimensional Efficiency Tests, Qianru Shang, Brian Byrne

Articles

We introduce a set of lattice techniques to the Leisenā€Reimer and Tian binomial models with a view to accelerating computation time and improving accuracy of American Option valuation. A level of accuracy and efficiency combined can be achieved that surpass commonly used analytical analogues. We compare these efficient lattice models with analytical formulae for pricing different groups of options according to the deepness of American quality and moneyness. Our results reveal that counter to received wisdom, lattices constructs produce greater speed and accuracy for all option categories relative to the best performing closed form American analogues.