The construction of approximate replication strategies for derivative contracts in incomplete markets is a key problem of financial engineering. Recently Reinforcement Learning algorithms for pricing and hedging under realistic market conditions have attracted significant interest. While financial research mostly focused on variations of $Q$-learning, in Artificial Intelligence Monte Carlo Tree Search is the recognized state-of-the-art method for various planning problems, such as the games of Hex, Chess, Go,... This article introduces Monte Carlo Tree Search for the hedging of financial derivatives in realistic markets and shows that there are good reasons, both on the theoretical and practical side, to favor it over other Reinforcement Learning methods.
翻译:在不完善的市场上为衍生品合同建立近似复制战略是金融工程的一个关键问题。 最近,在现实的市场条件下进行定价和套期保值的强化学习算法吸引了极大的兴趣。 虽然金融研究主要侧重于Q美元学习的变数,但人工智能蒙特卡洛树搜索是公认的解决各种规划问题最先进的方法,例如Hex、Ches、Go等游戏。 文章介绍了蒙特卡洛树搜索,以便在现实的市场上套期保值金融衍生品,并表明在理论和实践方面都有很好的理由支持它而不是其他强化学习方法。