按产量付费的绿色电力购买协议的定价与半静态对冲
Pricing and Semi-static Hedging of Green Pay-as-produced Power Purchase Agreements
AI总结：
本文针对按产量付费的绿色电力购买协议，构建半静态对冲的无模型定价框架，结合德国风电光伏数据估计模型，证明稀疏静态对冲可降低固定电量期货无法对冲的剩余风险。
AI中文摘要：
按产量付费的电力购买协议（PPAs）使买卖双方同时面临电价和可再生能源发电量的联合风险。本文构建了一种半静态策略对冲该风险的理论框架：用流动性期货动态对冲交易价格风险，同时用与可再生能源挂钩的固定索赔组合对冲剩余电量和协方差风险。定价与对冲分解是无模型的，而针对德国风电和光伏发电量的实证分析则采用了校准后的随机模型。在估值测度下，公平执行价是产量加权的现货价格预期，我们证明其可精确分解为基荷远期水平、确定性产量曲线修正项以及随机价格-产量协方差修正项，其中协方差项衡量了可再生能源自耗的定价效应。静态对冲通过有限维方差投影选取，投影对象为与可再生能源产量、交割期平均价格及价格-产量协方差相关的索赔。我们利用2023-2024年德国每小时数据估计了带状态依赖价格尖峰的Lévy驱动双变量MCARMA状态空间模型，并将其应用于2025年1-12月交割期的月度PPAs。结果区分了确定性曲线风险与随机协方差风险，表明稀疏的静态对冲组合可降低固定电量期货无法对冲的剩余敞口，所选组合还明确了哪些索赔类型对冲剩余可再生能源形态风险最为有效。
英文摘要：
Pay-as-produced power purchase agreements (PPAs) expose buyers and sellers to the joint risk of power prices and renewable production. This paper develops a theoretical framework for hedging this exposure using a semi-static strategy: liquid futures hedge traded price risk dynamically, while a fixed portfolio of renewable-linked claims targets residual volume and covariance risk. The pricing and hedging decomposition is model-free, whereas the empirical implementation for German wind and solar generation uses a calibrated stochastic model. Conditional on a valuation measure, the fair strike is a production-weighted expected spot price. We show that it decomposes exactly into the baseload forward level, a deterministic production-profile correction, and a stochastic price-volume covariance correction, where the covariance term measures the pricing effect of renewable cannibalisation. The static hedge is selected through a finite-dimensional variance projection onto claims linked to renewable volume, delivery-period average prices, and price-volume covariance. We estimate a Lévy-driven bivariate MCARMA state-space model with state-dependent price spikes using hourly German data for 2023-2024 and apply it to monthly PPAs over the January-December 2025 delivery horizon. The results distinguish deterministic profile risk from stochastic covariance risk and show how sparse static overlays reduce residual exposures that fixed-volume futures cannot hedge. The selected portfolios also indicate which claim types are most effective for hedging residual renewable shape risk.
