We investigated term structure models for commodity prices to value derivative-linked securities (DLS) traded in Korea. We especially highlighted geometric Brownian motion (GBM) model considering a convenience yield and Schwartz model reflecting mean-reverting property.
One of key characteristics of the paper is that this paper provides theoretical models for multi underlying assets and the model combining GBM model and Schwartz model. Furthermore, it gives us an analysis for quanto adjustment which occurs in the valuation of DLS. In case of GBM model, quanto adjustment seems to be relatively simple by adjusting a constant ratio to risk-free interest rate. Unlike GBM model, we find out that, in case of Schwartz model, such adjustment can be achieved only when the stochastic process of foreign exchange rate is considered.
After having valuation, both models show stable results for DLS prices using WTI index as an underlying asset. However, they results in outcomes, which are relatively not stable, on valuing DLS written on multi underlying assets including nickel.
