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In this paper, we propose an easy-to-use yet comprehensive model for a system of cointegrated commodity prices. While retaining the exponential affine structure of previous approaches, our model allows for an arbitrary number of cointegration relationships. We show that the cointegration...
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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...
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incorporating seasonal stochastic volatility represented with of two different sinusoidal expressions. We obtain an analytical …
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metal price series is investigated, as well as time-varying volatility. The results demonstrate that allowing for jumps and … time-varying volatility provides statistically important improvements in the modelling or prices, relative to GBM. These …
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