Local sensitivity analysis of heating degree day and cooling degree day temperature derivative prices

We study the local sensitivity of heating degree day (HDD) and cooling degree day (CDD) temper-ature futures and option prices with respect to perturbations in the deseasonalized temperature or inone of its derivatives up to a certain order determined by the continuous-time autoregressive pro-cess modelling the deseasonalized temperature in the HDD and CDD indexes. We also consider anempirical case where a continuous-time process of autoregressive order 3 is fitted to New York tem-peratures and we perform a study of the local sensitivity of these financial contracts and a posterioranalysis of the results.