RT info:eu-repo/semantics/article
T1 Two New Strategies for Pricing Freight Options by Means of a Valuation PDE and by Functional Bounds
A1 Gómez del Valle, María Lourdes
A1 López Marcos, Miguel Ángel
A1 Martínez Rodríguez, Julia
K1 Pricing
K1 Precios - Fijación
K1 Partial differential equations
K1 Ecuaciones diferenciales parciales
AB 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.
PB MDPI
SN 2227-7390
YR 2020
FD 2020
LK https://uvadoc.uva.es/handle/10324/52459
UL https://uvadoc.uva.es/handle/10324/52459
LA eng
NO Mathematics, 2020, vol. 8, n. 4, 620
NO Producción Científica
DS UVaDOC
RD 07-ago-2024