In this paper, we derive a new jump-diffusion model for electricity spot price from the "Price-Cap" principle. Next, we show that the model has a non-classical mean-reverting linear drift. Moreover, using this model, we compute a new exact formula for the price of forward contract under an equivalent martingale measure and we compare it to Cartea et al. (Appl Math Finance 12(4):313-335, 2005) formula.
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