Search results for "CARMA model"

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Futures pricing in electricity markets based on stable CARMA spot models

2012

We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes in the market. Instead of the usual purely deterministic trend we introduce a non-stationary independent increments process for the low-frequency dynamics, and model the large uctuations by a non-Gaussian stable CARMA process. The model allows for analytic futures prices, and we apply these to model and estimate the whole market consistently. Besides standard parameter estimation, an estimation procedure is suggested, where we t the non-stationary trend using futures data with long time until delivery, and a robust L 1 -lter to nd the states of …

FOS: Computer and information sciencesEconomics and EconometricsElectricity spot pricebusiness.industryEstimation theoryRisk premium60G52 62M10 91B84 (Primary) 60G10 60G51 91B70 (Secondary)Lévy processStatistics - ApplicationsCARMA model electricity spot prices electricity forward prices continuous time linear model Lévy process stable CARMA process risk premium robust filterddc:MicroeconomicsFOS: Economics and businessGeneral EnergyBase load power plantPeak loadEconometricsEconomicsApplications (stat.AP)ElectricityPricing of Securities (q-fin.PR)businessFutures contractQuantitative Finance - Pricing of Securities
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