Search results for "91G20"

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Cross-Commodity Spot Price Modeling with Stochastic Volatility and Leverage For Energy Markets

2013

Spot prices in energy markets exhibit special features, such as price spikes, mean reversion, stochastic volatility, inverse leverage effect, and dependencies between the commodities. In this paper a multivariate stochastic volatility model is introduced which captures these features. The second-order structure and stationarity of the model are analyzed in detail. A simulation method for Monte Carlo generation of price paths is introduced and a numerical example is presented.

Statistics and Probability15A04Spot contractSABR volatility model01 natural sciences010104 statistics & probabilityEnergy marketVolatility swap0502 economics and businessEconometricsForward volatilityMean reversionstochastic volatilityleverage0101 mathematicsMathematics050208 financeStochastic volatilityApplied Mathematics05 social sciences91G60subordinator91G20Constant elasticity of variance modelVolatility smileOrnstein-Uhlenbeck process60H3060G1060G51Advances in Applied Probability
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Pricing of Forwards and Options in a Multivariate Non-Gaussian Stochastic Volatility Model for Energy Markets

2013

In Benth and Vos (2013) we introduced a multivariate spot price model with stochastic volatility for energy markets which captures characteristic features, such as price spikes, mean reversion, stochastic volatility, and inverse leverage effect as well as dependencies between commodities. In this paper we derive the forward price dynamics based on our multivariate spot price model, providing a very flexible structure for the forward curves, including contango, backwardation, and hump shape. Moreover, a Fourier transform-based method to price options on the forward is described.

TheoryofComputation_MISCELLANEOUSspread optionStatistics and Probability15A04Computer Science::Computer Science and Game TheoryFinancial economicsNormal backwardationImplied volatility01 natural sciences010104 statistics & probabilityEnergy marketVolatility swap0502 economics and businessEconometricsForward volatilitystochastic volatility0101 mathematicsMathematics050208 financeStochastic volatilityApplied Mathematics05 social sciencesContangosubordinatorforward pricing91G20Forward priceVolatility smile60H3060G1060G51Advances in Applied Probability
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