The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices

In this paper, we analyze the role of the jump size distribution in the US natural gas prices when valuing natural gas futures traded at New York Mercantile Exchange (NYMEX) and we observe that a jump-diffusion model always provides lower errors than a diffusion model. Moreover, we also show that al...

Full description

Saved in:
Bibliographic Details
Main Authors: L. Gómez-Valle, Z. Habibilashkary, J. Martínez-Rodríguez
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/3286549
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832553216631373824
author L. Gómez-Valle
Z. Habibilashkary
J. Martínez-Rodríguez
author_facet L. Gómez-Valle
Z. Habibilashkary
J. Martínez-Rodríguez
author_sort L. Gómez-Valle
collection DOAJ
description In this paper, we analyze the role of the jump size distribution in the US natural gas prices when valuing natural gas futures traded at New York Mercantile Exchange (NYMEX) and we observe that a jump-diffusion model always provides lower errors than a diffusion model. Moreover, we also show that although the Normal distribution offers lower errors for short maturities, the Exponential distribution is quite accurate for long maturities. We also price natural gas options and we see that, in general, the model with the Normal jump size distribution underprices these options with respect to the Exponential distribution. Finally, we obtain the futures risk premia in both cases and we observe that for long maturities the term structure of the risk premia is negative. Moreover, the Exponential distribution provides the highest premia in absolute value.
format Article
id doaj-art-ab1d2000bcc14e92a8e7abc1b0b44d4d
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-ab1d2000bcc14e92a8e7abc1b0b44d4d2025-02-03T05:54:38ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/32865493286549The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option PricesL. Gómez-Valle0Z. Habibilashkary1J. Martínez-Rodríguez2Departamento de Economa Aplicada e IMUVA, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, SpainDepartamento de Economa Aplicada e IMUVA, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, SpainDepartamento de Economa Aplicada e IMUVA, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, SpainIn this paper, we analyze the role of the jump size distribution in the US natural gas prices when valuing natural gas futures traded at New York Mercantile Exchange (NYMEX) and we observe that a jump-diffusion model always provides lower errors than a diffusion model. Moreover, we also show that although the Normal distribution offers lower errors for short maturities, the Exponential distribution is quite accurate for long maturities. We also price natural gas options and we see that, in general, the model with the Normal jump size distribution underprices these options with respect to the Exponential distribution. Finally, we obtain the futures risk premia in both cases and we observe that for long maturities the term structure of the risk premia is negative. Moreover, the Exponential distribution provides the highest premia in absolute value.http://dx.doi.org/10.1155/2017/3286549
spellingShingle L. Gómez-Valle
Z. Habibilashkary
J. Martínez-Rodríguez
The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
Abstract and Applied Analysis
title The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
title_full The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
title_fullStr The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
title_full_unstemmed The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
title_short The Jump Size Distribution of the Commodity Spot Price and Its Effect on Futures and Option Prices
title_sort jump size distribution of the commodity spot price and its effect on futures and option prices
url http://dx.doi.org/10.1155/2017/3286549
work_keys_str_mv AT lgomezvalle thejumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices
AT zhabibilashkary thejumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices
AT jmartinezrodriguez thejumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices
AT lgomezvalle jumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices
AT zhabibilashkary jumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices
AT jmartinezrodriguez jumpsizedistributionofthecommodityspotpriceanditseffectonfuturesandoptionprices