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Flexible-forward pricing through Leisen–Reimer trees: Implementation and performance comparison with traditional Markov chains

Pier Giuseppe Giribone and Simone Ligato ()
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Pier Giuseppe Giribone: CARIGE Bank Group, 15 Cassa di Risparmio, 16123 Genoa, Italy
Simone Ligato: CARIGE Bank Group, 15 Cassa di Risparmio, 16123 Genoa, Italy

International Journal of Financial Engineering (IJFE), 2016, vol. 03, issue 02, 1-21

Abstract: This article aims to estimate the fair-value of flexi-forwards, popular financial instruments on currencies, through Leisen–Reimer trees. The first part of paper deals with Markov chains suitable for pricing American options: Cox–Ross–Rubinstein, Jarrow–Rudd, Tian, Leisen–Reimer Trees. The correctness of the implementation in Matlab has been tested by comparing their prices with those obtained through approximated closed-formulas. The second part highlights the better performance of Leisen–Reimer trees in terms of convergence speed and sensitivity. Finally, flexi-forward contracts have been priced by using the numerical methodologies which have outperformed in the previous parts.

Keywords: Alternative stochastic trees; Leisen–Reimer Markov chains; flexible-forward pricing; numerical schemes for American option valuation; numerical techniques for American option Greeks (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S2424786316500109

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