用卫星数据训练神经网络,提升天气衍生品定价准确性。
Neural and Time-Series Approaches for Pricing Weather Derivatives: Performance and Regime Adaptation Using Satellite Data
- 用卷积神经网络学习不同季节的降雨参数映射
- 相比传统模型,冬季定价偏差显著降低
- 适合金融量化、气候风险建模从业者
本文研究温度与降水相关的天气衍生品(WD)定价。针对多伦多和芝加哥的温度挂钩宽跨期权,对比了谐波回归/ARMA模型与前馈神经网络(NN),发现NN在样本外均方误差(MSE)上更优,并使12月公平价值明显偏离时间序列模型和行业标准的历史烧损法(HBA)。针对降水,采用复合泊松-伽马框架:形状与尺度参数通过最大似然估计(MLE)及基于30天降雨序列(跨多个季节)训练的卷积神经网络(CNN)估计。CNN自适应学习季节性(α,β)映射,捕捉静态独立同分布(i.i.d.)模型忽略的模式异质性。估值时,假设各时段内每日降雨服从Γ(ˆα,ˆβ),并采用均值计数近似(将泊松计数替换为均值nˆλ)推导闭式期权价格。对1981–2023年NASA POWER数据的探索性分析显示,夏冬季节间(α,β)存在显著异质性,表明全局静态拟合不足。在多伦多和芝加哥网格上的回测验证,该分段自适应CNN能实现具有竞争力的估值,凸显模型选择对期权定价的影响。收益计算在可能时解析求解,否则通过模拟实现,确保预测与估值方法的可比性。
原文摘要 · Abstract (English)
This paper studies pricing of weather-derivative (WD) contracts on temperature and precipitation. For temperature-linked strangles in Toronto and Chicago, we benchmark a harmonic-regression/ARMA model against a feed-forward neural network (NN), finding that the NN reduces out-of-sample mean-squared error (MSE) and materially shifts December fair values relative to both the time-series model and the industry-standard Historic Burn Approach (HBA). For precipitation, we employ a compound Poisson--Gamma framework: shape and scale parameters are estimated via maximum likelihood estimation (MLE) and via a convolutional neural network (CNN) trained on 30-day rainfall sequences spanning multiple seasons. The CNN adaptively learns season-specific $(α,β)$ mappings, thereby capturing heterogeneity across regimes that static i.i.d.\ fits miss. At valuation, we assume days are i.i.d.\ $Γ(\hatα,\hatβ)$ within each regime and apply a mean-count approximation (replacing the Poisson count by its mean ($n\hatλ$) to derive closed-form strangle prices. Exploratory analysis of 1981--2023 NASA POWER data confirms pronounced seasonal heterogeneity in $(α,β)$ between summer and winter, demonstrating that static global fits are inadequate. Back-testing on Toronto and Chicago grids shows that our regime-adaptive CNN yields competitive valuations and underscores how model choice can shift strangle prices. Payoffs are evaluated analytically when possible and by simulation elsewhere, enabling a like-for-like comparison of forecasting and valuation methods.
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