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Título
Two New Strategies for Pricing Freight Options by Means of a Valuation PDE and by Functional Bounds
Año del Documento
2020
Editorial
MDPI
Descripción
Producción Científica
Documento Fuente
Mathematics, 2020, vol. 8, n. 4, 620
Zusammenfassung
Freight derivative prices have been modeled assuming that the spot freight follows a particular stochastic process in order to manage them, like freight futures, forwards and options. However, an explicit formula for pricing freight options is not known, not even for simple spot freight processes. This is partly due to the fact that there is no valuation equation for pricing freight options. In this paper, we deal with this problem from two independent points of view. On the one hand, we provide a novel theoretical framework for pricing these Asian-style options. In this way, we build a partial differential equation whose solution is the freight option price obtained from stochastic delay differential equations. On the other hand, we prove lower and upper bounds for those freight options which enables us to estimate the option price. In this work, we consider that the spot freight rate follows a general stochastic diffusion process without restrictions in the drift and volatility functions. Finally, using recent data from the Baltic Exchange, we compare the described bounds with the freight option prices.
Palabras Clave
Pricing
Precios - Fijación
Partial differential equations
Ecuaciones diferenciales parciales
ISSN
2227-7390
Revisión por pares
SI
Patrocinador
Junta de Castilla y León (grants VA148G18 and VA138G18)
Ministerio de Economía, Industria y Competitividad (grant MTM2017-85476-C2-P)
Ministerio de Economía, Industria y Competitividad (grant MTM2017-85476-C2-P)
Version del Editor
Propietario de los Derechos
© 2020 The Authors
Idioma
eng
Tipo de versión
info:eu-repo/semantics/publishedVersion
Derechos
openAccess
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