scholarly journals Stochastic Volatility and Dependency in Energy Markets: Multi-Factor Modelling

Author(s):  
Fred Espen Benth
2013 ◽  
Vol 45 (02) ◽  
pp. 545-571 ◽  
Author(s):  
F. E. Benth ◽  
L. Vos

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.


2013 ◽  
Vol 45 (2) ◽  
pp. 572-594 ◽  
Author(s):  
F. E. Benth ◽  
L. Vos

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.


2013 ◽  
Vol 45 (2) ◽  
pp. 545-571 ◽  
Author(s):  
F. E. Benth ◽  
L. Vos

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.


2013 ◽  
Vol 45 (02) ◽  
pp. 572-594 ◽  
Author(s):  
F. E. Benth ◽  
L. Vos

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.


2007 ◽  
Author(s):  
Armelle Guizot
Keyword(s):  

2011 ◽  
Vol 16 (02) ◽  
Author(s):  
G. Figà-Talamanca ◽  
M. L. Guerra ◽  
L. Stefanini

2016 ◽  
Vol 9 (2) ◽  
pp. 51-68 ◽  
Author(s):  
Saša Žiković ◽  
Ivana Tomas Žiković

2015 ◽  
Vol 8 (1) ◽  
pp. 1-35 ◽  
Author(s):  
Fred Espen Benth ◽  
Nina Lange ◽  
Tor Åge Myklebust
Keyword(s):  

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