Static Hedging of Weather and Price Risks in Electricity Markets
Javier Pantoja Robayo (1), Juan C. Vera (2) ((1) School of Economics, and Finance, Universidad EAFIT. Medellin, Colombia. (2) Tilburg School of, Economics, Management, Tilburg University, The Netherlands)

TL;DR
This paper derives a closed-form solution for optimal hedging of price and weather risks faced by electricity retailers using financial instruments, without assuming specific probability distributions.
Contribution
It introduces a novel closed-form, distribution-free solution for hedging risks in electricity markets, considering both price and weather index instruments.
Findings
Provides explicit formulas for optimal hedge portfolios.
Demonstrates the model's applicability without distributional assumptions.
Addresses combined price and weather risk management in electricity markets.
Abstract
We present the closed-form solution to the problem of hedging price and quantity risks for energy retailers (ER), using financial instruments based on electricity price and weather indexes. Our model considers an ER who is intermediary in a regulated electricity market. ERs buy a fixed quantity of electricity at a variable cost and must serve a variable demand at a fixed cost. Thus ERs are subject to both price and quantity risks. To hedge such risks, an ER could construct a portfolio of financial instruments based on price and weather indexes. We construct the closed form solution for the optimal portfolio for the mean-Var model in the discrete setting. Our model does not make any distributional assumption.
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