TY - JOUR
T1 - Asymptotic Exponential Arbitrage in a Liu-Tang 3-Factor Model of Commodity Futures
AU - Welemical , Tesfamariam Tadesse
AU - Bidima , Martin Le Doux Mbele
AU - Aduda , Jane Akinyi
JO - African Journal for Industrial and Applied Mathematics
VL - 1
SP - 47
EP - 62
PY - 2025
DA - 2025/06
SN - 1
DO - http://doi.org/10.4208/ajiam.2025-0003
UR - https://global-sci.org/intro/article_detail/ajiam/24221.html
KW - Asymptotic exponential arbitrage, commodity market, futures contract, large deviation.
AB - <p style="text-align: justify;">From a 3-factor model of storable commodities discussed by Liu and
Tang (2010), we consider a cash market model such as futures exchange with a single futures contract on one such commodities and a money market account. After
verifying that this model is arbitrage-free and incomplete in any finite time horizon
or delivery date, we show that there still exists a possibility to generate exponentially growth risk-less profit in long term; a form of asymptotic arbitrage conjectured by Föllmer and Schachermayer (2008) and first solved by Mbele Bidima and
Rásonyi (2012) in financial security models. And we find that works in this paper generalize our recent works in Tadesse Welemical et al. (2019) on Schwartz’s
one-factor model of commodity futures.</p>