6533b827fe1ef96bd12863b8

RESEARCH PRODUCT

Dynamic copula models for the spark spread

Paul C. KettlerFred Espen Benth

subject

Statistics::TheoryMathematical financeCopula (linguistics)Statistics::Other StatisticsBivariate analysisLévy processStatistics::ComputationInverse Gaussian distributionsymbols.namesakeAutoregressive modelSpark spreadStatisticsEconometricssymbolsEconomicsStatistics::MethodologyMarginal distributionGeneral Economics Econometrics and FinanceFinance

description

We propose a non-symmetric copula to model the evolution of electricity and gas prices by a bivariate non-Gaussian autoregressive process. We identify the marginal dynamics as driven by normal inverse Gaussian processes, estimating them from a series of observed UK electricity and gas spot data. We estimate the copula by modeling the difference between the empirical copula and the independent copula. We then simulate the joint process and price options written on the spark spread. We find that option prices are significantly influenced by the copula and the marginal distributions, along with the seasonality of the underlying prices.

https://doi.org/10.1080/14697688.2010.481629