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This study examines the empirical performance of emission allowance option pricing models, concentrating on the EU-ETS markets. For option pricing, we use parameters estimated from option market data whereas few papers in the extant literature use parameters from underlying asset data. As results, it is shown that the most appropriate is the one-factor model in which the EUA logarithmic spot prices follow the mean-reverting process of Ornstein-Uhlenbeck type. Also, the addition of jumps is not shown to make any significant improvement in the model performance. These results are quite striking in the sense that existing papers report the addition of jumps is necessary to improve option pricing on the EU-ETS markets. In sum, this paper is meaningful in the sense that it extends the growing empirical literature on the behavior of emission allowance spot prices

When the Black-Scholes assumptions hold market is instantaneously complete and options are redundant securities. This paper tests whether options are needed for spanning of the pricing kernel in addition to the risk-free bond and underlying asset in Korean stock index options market. Using Hansen's GMM estimation method, we find that pricing kernel cannot be spanned with the risk-free bond and underlying asset. Options are needed for spanning to incorporate the additional risk factor. This result is consistent with previous results using American options market data.

The term structure of KTB (Korea Treasury Bond) is empirically implemented and forecasted by the extended 2-factor CIR model. Pearson and Sun model. MLE is applied to estimate parameters. Using KTB prices forecasted by the model, strategies of trading and hedge between KTB, KTF (Korea Treasury Futures) are established. In this article we can see that Pearson and Sun model appropriately explains the term structure of KTB but does not fit forecasting KTB prices. However, the model well forecasts the direction of interest rate moving up or down. Through such a forecast‘ profit via trading KTB and KTF can be realized.