英文标题：
《Option pricing models without probability: a rough paths approach》
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作者：
John Armstrong, Claudio Bellani, Damiano Brigo, Thomas Cass
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最新提交年份：
2020
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英文摘要：
We describe the pricing and hedging of financial options without the use of probability using rough paths. By encoding the volatility of assets in an enhancement of the price trajectory, we give a pathwise presentation of the replication of European options. The continuity properties of rough-paths allow us to generalise the so-called fundamental theorem of derivative trading, showing that a small misspecification of the model will yield only a small excess profit or loss of the replication strategy. Our hedging strategy is an enhanced version of classical delta hedging where we use volatility swaps to hedge the second order terms arising in rough-path integrals, resulting in improved robustness.
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中文摘要：
我们使用粗糙路径描述了金融期权的定价和套期保值，而不使用概率。通过将资产的波动性编码为价格轨迹的增强，我们给出了欧洲期权复制的路径表示。粗糙路径的连续性特性允许我们推广所谓的衍生品交易基本定理，表明模型的一个小的错误指定只会产生复制策略的一个小的超额利润或损失。我们的对冲策略是经典delta对冲的增强版本，我们使用波动率掉期对冲粗糙路径积分中产生的二阶项，从而提高鲁棒性。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Mathematical Finance 数学金融学
分类描述：Mathematical and analytical methods of finance, including stochastic, probabilistic and functional analysis, algebraic, geometric and other methods
金融的数学和分析方法，包括随机、概率和泛函分析、代数、几何和其他方法
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