Commodity markets present several challenges for quantitative modeling. These include high volatilities, small sample data sets, and physical, operational complexity. In addition, the set of traded products in commodity markets is more limited than in financial or equity markets, making value...

Derivatives that manage commodity risk over multiple periods are not Sharīʿah-compliant. This study proposes a Sharīʿah-compliant swaption model (waʿd or promise on swap) for hedging commodity risk. The model combines two separate and independent waʿds (promises) on commodity swap through...

Spot option prices, forwards and options on forwards relevant for the commodity markets are computed when the underlying process S is modelled as an exponential of a process xi with memory as, e.g., a Volterra equation driven by a Levy process. Moreover, the interest rate and a risk premium rho...