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Nadia Oudjane (EDF, France)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 9:00 
Advanced numerical methods for nonlinear PDEs and perspectives of applications for energy management control problems  
With the emergence of renewable energies (as wind or solar genera tion), local generation systems are rapidly multiplying integrating renewables, batteries or more conventional plants (such as gas turbines or hydro plants). The impact of random factors (such as demand, energy prices, wind, luminosity etc.) on the management of such local generation systems are significant. Hence, an important issue is to be able to manage efficiently such microgrids in presence of uncertainties. Mathematically, the related optimization problem can be stated in terms of a stochastic control problem which can be reduced to a nonlinear Partial Differential Equation (PDE), known as HamiltonJacobiBellman (HJB) equation. The presentation focuses on recent forward numerical schemes based on generalized FokkerPlanck representations for nonlinear PDEs in high space dimension. In the specific case of mass conservative PDEs, it is well known that the solution can be probabilistically represented as the marginal densities of a Markov diffusion nonlinear in the sense of Mckean. Then one can design forward interacting particle schemes to approximate numerically the PDEs solu tion. We present some extensions of this kind of representation and interacting particle scheme associated to a large class of PDEs including the case when they are nonconservative, non integrable with various kind of nonlinearities. (Joint work with Anthony Le Cavil, (HSBC, Paris) and Francesco Russo, (ENSTA ParisTech)  

Michael Coulon (University of Sussex, UK)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 10:15 
Spread option implied correlation and the optimal choice of strike con vention  
By means of Malliavin Calculus we construct an optimal linear strike convention for exchange options under stochastic volatility models. This convention allows us to minimize the difference between the model and implied correlations between the two underlying assets in the spread. Moreover, we show that this optimal convention does not depend on the specific stochastic volatility model. Numerical examples are given. Joint work with Elisa Alos.  

Gabriele D’Amore (Sapienza University of Rome, Italy)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 10:45 
Predictability information criterion for selecting stochastic pricing models  
Pricing models of derivative instruments usually fail to provide reli able results when risks rise and financial crises occur. More advanced stochastic pricing models try to improve the fitting results adding risk factors and/or pa rameters to the models, incurring the risk of overfitted results. Drawing on these observations, it is proposed a generalisation of the Akaike information criterion suitable to evaluate forecasting power of alternative stochastic pricing models for any fixed arbitrary forecasting timehorizon. The Predictability Informa tion Criterion (PIC) differs from the classical criteria for evaluating statistical models as it assumes that the random variable to study can ( or cannot) be par tially predictable, which makes it particularly suitable for studying stochastic pricing models coherently with the semimartingale definition of the price pro cess. On the basis of this assumption the criterion measures and compares the uncertainty of the predictions of two different alternative models when prices are (or are not) predictable. We conclude with a focus on Crude Oil market by comparing GBM and OU stochastic processes that are generally used for modeling West Texas Intermediate (WTI) oil spot price returns in derivative pricing models.  

Matteo Basei (University of ParisDiderot, France)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 11:15 
The coordination of centralised and distributed generation  
This paper analyses the interaction between centralised carbon emis sive technologies and distributed intermittent nonemissive technologies. In our model, there is a representative consumer who can satisfy her electricity demand by investing in distributed generation (solar panels) and by buying power to a centralised firm at a price he set up. Distributed generation is intermittent and induces an externality cost to the consumer. The firm provides nonrandom electricity generation subject to carbon price and to transmission costs. The objective of the consumer is to satisfy her demand while minimising investment costs, payment to the firm and intermittency cost. The objective of the firm is to satisfy consumer’s residual demand while minimising investment costs, de mand deviation costs and maximising payment from the consumer. Investment decisions are formulated as McKeanVlasov control problems with stochastic coefficients. We provide explicit, modelfree solutions to the optimal decision problems faced by each player, the solution of the Pareto optimum and the Stackelberg equilibrium where the firm is the leader. We find that, from the social planner point of view, carbon price or transmission costs are necessary to justify a positive share of distributed capacity in the longterm, whatever the re spective investment costs of both technologies are. The Stackelberg equilibrium is far from the Pareto equilibrium, leading to a much larger share of distributed energy and to a much higher price for centralised energy. Joint work with Rene Aid, Imen Ben Tahar and Huyen Pham  

Ana Busic (INRIA Paris, France)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 14:00 
Distributed demand control in power grids and ODEs for Markov decision processes  
Renewable energy sources such as wind and solar have a high degree of unpredictability and time variation. As a result, balancing supply and demand in real time is becoming ever more challenging and the power grids need greater flexibility on many levels. The proposed approach addresses this challenge by harnessing the inherent flexibility in demand of many types of loads. We develop a distributed control theory and algorithms for automated demand dispatch, which can be used by grid operators as ancillary service to regulate demand supply balance. The proposed approach uses local control solutions that a) take into account local measurements, constraints, and preferences, and b) lead to a controllable inputoutput model for the aggregate dynamics. The local control problem can be defined by a family of Markov decision processes, parameterized by a weighting factor that appears in the onestep reward function. This talk introduces a new methodology for solving an entire family of MDPs. In our application to demand control, the focus will be on a family of averagecost optimal control models in which the onestep reward function is defined by KullbackLeibler divergence with respect to nominal dynamics. The proposed ODE methodology can be seen as a generalization of the linearly solvable MDP framework of Todorov to the case with exogenous disturbances, such as weather or customer behavior.  

Rune Hjorth Nielsen (NEAS and University of Aalborg, Denmark)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 15:15 
Simulations of short term power prices: capturing the intraday structure of the German power dayahead auction  
This presentation is on the simulation of the hourbased German dayahead power auction, where I apply vector autoregressive (VAR) models, in order to capture the effects of the market infrastructure of the dayahead auction. This approach ensures that the correct intraday correlation structure is simulated, which will be important for valuing assets with production timing issues (e.g. pumped storages and batteries), thereby creating a more suitable simulation alternative to classic Brownian motion based stochastic simulation for these flexible assets. In order to handle the large dimensionality of the data created by the VAR approach, lasso and elasticnet shrinkages are applied, as well as their adaptive versions. The assessment of these methods is done by performing a classic forecast quality assessment, combined with an evaluation of the (often asymptotic) simulation relevant properties of each model. After estimating the model parameters, simulation from the fitted model is carried out using a block bootstrap. Sanity checks of the appropriateness of the forecasting approach are presented, highlighting both the advantages of the model and the points where future work is necessary.  

Marco Piccirilli (University of Padova, Italy)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Tue, 4. Jul 17, 15:45 
Additive energy forward curves in a HeathJarrowMorton framework  
In energy markets forward contracts can be of two types: in our ter minology, forwards and swaps. Who sells a swap contract commits to deliver over a certain period, for instance, power, while by forward we mean the classi cal financial agreement settled on a maturity date. Our purpose is to design a HeathJarrowMorton framework for an additive, meanreverting, multidimen sional market consisting of forward contracts of any maturity date or delivery period. The main assumption is that forward prices can be represented as affine functions of a universal source of randomness. In a Brownian setting, we are able to completely characterize the models which do not allow for arbitrage opportunities. We study the possibility of introducing more general L´evy com ponents either driving the dynamics of prices or in the context of a stochastic volatility model. Joint work with Fred Espen Benth and Tiziano Vargiolu.  

John Moriarty (Queen Mary University, London, UK)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 9:00 
Energy imbalance market call options and the valuation of storage  
The use of energy storage to balance electric grids is increasing and, with it, the importance of operational optimisation from the twin viewpoints of cost and system stability. In this paper we assess the real option value of balancing reserve provided by an energylimited storage unit. The contractual arrangement is a series of Americanstyle call options in an energy imbalance market (EIM), physically covered and delivered by the store, and purchased by the power system operator. We take the EIM price as a general regular one dimensional diffusion and impose natural economic conditions on the option parameters. In this framework we derive the operational strategy of the storage operator by solving two timing problems: when to purchase energy to load the store (to provide physical cover for the option) and when to sell the option to the system operator. We give necessary and sufficient conditions for the finiteness and positivity of the value function – the total discounted cash flows generated by operation of the storage unit. We also provide a straightforward procedure for the numerical evaluation of the optimal operational strategy (EIM prices at which power should be purchased) and the value function. This is illustrated with an operational and economic analysis using data from the German Amprion EIM. (Joint work with Jan Palczewsk (University of Leeds)).  

Carlo Sgarra (Politecnico di Milano, Italy)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 10:15 
A Branching Process Approach to Power Markets  
Energy markets, and in particular, electricity markets, exhibit very peculiar features. The historical series of both futures and spot prices include seasonality, meanreversion, spikes and small fluctuations. After the pioneer ing paper by Schwartz, where an OrnsteinUhlenbeck dynamics is assumed to describe the spot price behavior, several different approaches have been inves tigated in order to describe the price evolution. A comprehensive presentation of the literature until 2008 is offered in the book by Benth, SaltyteBenth and Koekebakker [8]. High frequency trading, on the other hand, introduced some new features in commodity prices dynamics: in the paper by Filimonov, Bic chetti, Maystre and Sornette [11] evidence is shown of endogeneity and struc tural regime shift, and in order to quantify this level the branching ratio is adopted as a measure of this endogenous impact and a Hawkes processes dy namics is assumed as a reasonable modeling framework taking into account the selfexciting properties [1]. The purpose of the present paper is to pro pose a new modeling framework including all the above mentioned features, still keeping a high level of tractability. The model considered allows to obtain the most common derivatives prices in closed or semiclosed form. Here with semiclosed we mean that the Laplace transform of the derivative price admits an explicit expression. The models we are going to introduce can describe the prices dynamics in two different forms, that can be proved to be equivalent: the first is a representation based on random fields, the second is based on Continuous Branching Processes with Immigration (CBI in the following). The idea of adopting a random fields framework for power prices description is not new: O.E. BarndorffNielsen, F.E. Benth and A. Veraart introduced the Ambit Fields to this end, showing how this approach can provide a very flexible and still tractable setting for derivatives pricing [2], [3]. A model based on CBI has been proposed recently by Y. Jiao, C. Ma and S. Scotti in view of short interest rate modeling, and in that paper it was shown that, with a suitable choice of the L´evy process driving the CBI dynamics, the model can offer a significant extension of the popular CIR model [12]. The model we propose extends in different ways some relevant models al ready available in the literature. It belongs to the class of arithmetic models (following the classification proposed by F.E. Benth, J. SalthytheBenth and S. Koekebakker), and the driving processes are L´evy processes with positive jumps, i.e. subordinators, so it extends the model proposed by F.E. Benth, J. Kallsen and T. MeyerBrandis [6] by formulating the dynamics via a random field ap proach, which allows to include some selfexciting features. On the other hand, the random field approach highlights some similarities with the Ambit Field based models introduced by O.E. BarnorffNielsen, F.E. Benth and A. Veraart [3]; the main difference between the model proposed in this paper and the Ambit Fieldbased models consists in the character of the extra dimension appearing in the random field adopted: while in the Ambit Field setting the parameter of this dimension is a time parameter, in the present setting this will be a pa rameter of space type. This main difference will be reflected moreover in the integration domain of the integrals defining the dynamics. The features of our modeling approach just outlined, allow to introduce the so called selfexciting properties in a simple and natural way and, although the pricing formulas for basic contracts like forward will exhibit very small changes with respect to those obtained for the previous models, the present model will exhibit a substantially different risk premium term structure. The presentation will be organized as follows: in Section 2 we’ll introduce the market model we are going to consider, while in Section 3 we shall discuss the relations between our model and the CBI processes. In Section 4 we’ll present some closed formulas for Futures and Option prices when the underlying dynamics is assumed to be given by the model introduced. Section 5 includes a theoretical analysis of the jumps behavior and the selfexciting property. In Section 6 we’ll provide some suggestions about estimation methods for the same model. In this last section, in particular, we are going to highlight the main issues and to propose a theoretical statistical approach. In particular, we are going to derive the maximum likelihood estimator for the parameters of the intensity process. By following the ideas presented in [7] and in [13], the first step to perform will be to deseasonalise the data. The second step, definitely less trivial, is to split the components Y1 and Y2 emerging from the data. This issue is well analyzed in [7] and [13] and their approach is directly applicable to our framework. Then, we first focus on the process Y1, sometimes called the base signal. Following [7], we look for the ergodic distribution of Y1 fitting the data. By recalling that the ergodic distribution of a CIR diffusion is of Gamma type [10], our model is in agreement with the previous literature (see subsection 5.4.2 in[7]) and we obtain the estimated parameters values for the driving processes. Joint work with Ying Jiao, Chunhua Ma and Simone Scotti. References [1] Bacry, E., Mastromatteo, J. and Muzy, J.F. Hawkes Processes in Finance, PREPRINT (2015). [2] BarndorffNielsen, O.E., Benth, F.E. and Veraart, A. (2013): Modelling en ergy spot prices by volatility modulated L´evy driven Volterra processes, Bernoulli, 19, 803845. [3] BarndorffNielsen, O.E., Benth, F.E. and Veraart, A. (2014): Modelling Electricity Futures by Ambit Fields, Advances in Applied Probability, 46 (3), 719745. [4] BarndorffNielsen, O.E. and Shephard, N. (2000): Modelling by L´evy Pro cesses for Financial Econometrics, in L´evy Processes Theory and Applications, eds. Barndorff Nielsen, Mikosch and Resnick, Boston, Birkhauser. [5] Benth F. E., Cartea A. and Kiesel R. (2008): Pricing forward contracts in power markets by the certainty equivalence principle: explaining the sign of the market risk premium, Journal of Banking and Finance, 32, 20062021. [6] Benth, F. E., Kallsen J. and MeyerBrandis T. (2007): A NonGaussian Ornstein Uhlenbeck Process for Electricity Spot Price Modeling and Derivatives Pricing, Appl. Math. Finance, 14(2), 153169. [7] Benth, F. E., Kiesel, R. and Nazarova A. (2012): A critical empirical study of three electricity price models, Energy Economics, 34, 15891616. [8] Benth, F. E., SalthyteBenth J. and Koekebakker S. (2008): Stochastic Mod elling of Electricity and Related Markets , World Scientific, Singapore. [9] Benth, F. E. and Sgarra C. (2012): The Risk Premium and the Esscher Transform in Power Markets, Stoch. Anal. Appl., 30(1), 2043. [10] Cox, J., Ingersoll, J. and Ross, S. (1985): A theory of the term structure of interest rate. Econometrica 53, 385408. [11] Filimonov, V., Bicchetti, D., Maystre, N., Sornette, D. (2015):Quantifica tion of the High Level of Endogeneity and Structural Regime Shifts in Com modity Markets, preprint. [12] Jiao, Y., Ma, C., Scotti, S. (2016): AlphaCIR Model with Branching Processes in Sovereign Interest Rate Modelling, preprint, hal01275397v2. [13] MeyerBrandis, T. and Tankov, P. (2008): Multifactor jumpdiffusion mod els of electricity prices. International Journal of Theoretical and Applied Fi nance, 11(5), 503528.  

Noor ’Adilah Ibrahim (University of Oslo, Norway)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 10:45 
Stochastic modelling of photovoltaic power generation  
In recent years, renewable energy has gained importance in producing power in many markets. The aim of this article is to model photovoltaic (PV) production for three transmission operators in Germany. PV power can only be generated during sun hours and the cloud cover will determine its overall production. Therefore, we propose a model that takes into account the sun intensity as a seasonal function. We model the deseasonalized data by an au toregressive process to capture the stochastic dynamics in the data. We present two applications based on our suggested model. First, we build a relationship between electricity spot prices and PV production where the higher the volume of PV production, the lower the power prices. As a further application, we discuss virtual power plant derivatives and energy quanto options. Joint work with Fred Espen Benth.  

Roberto Baviera (Politecnico di Milano, Italy)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 11:15 
Stoploss and leverage in optimal statistical arbitrage with an application to energy market  
In this paper we develop a statistical arbitrage trading strategy with two key elements in high frequency trading: stoploss and leverage. We con sider, as in Bertram (2009), a meanreverting process for the security price with proportional transaction costs; we show how to introduce stoploss and lever age in an optimal trading strategy. We focus on repeated strategies using a selffinancing portfolio. For every given stoploss level we derive analytically the optimal investment strategy consisting of optimal leverage and market en try/exit levels. First we show that the optimal strategy a la Bertram depends on the probabilities to reach entry/exit levels, on average FirstPassageTimes and on average FirstExitTimes from an interval. Then, when the underlying log price follows an OrnsteinUhlenbeck process, we deduce analytical expressions for average FirstExitTimes and we write the longrun return of the strategy as an elementary function of the stoploss. Finally we describe how to apply the strategy to a generic continuous meanreverting process. Following industry practice of pairs trading we consider two examples of pairs in the energy futures’ market. We report in detail the analysis for two spreads on HeatingOil and GasOil futures in a year and a half sample of halfhour market prices. Joint work with Tommaso Santagostino Baldi.  

Tiziano Vargiolu (University of Padova, Italy)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 14:00 
Capacity markets and the pricing of reliability options  
The growing penetration of nonprogrammable renewable sources, like solar and wind, introduced in the latest years market uncertainties in the quan tity of electricity produced, which can possibly originate price spikes. Capacity markets have exactly the purpose of providing new potential capacity when that present in the market is already allocated and there is a sudden drop in supply (due for example to unexpected adverse weather events). In this talk we will present the different capacity remuneration mechanisms, and analyze in more detail the socalled reliability option, which is a call option sold by producers to transmit system operators. This option has the important advantage of shaving possible price peaks, but its correct pricing require nontrivial techniques.  

Anca Pircalabu (NEAS and University of Aalborg, Denmark)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 15:15 
A regimeswitching copula approach to modeling dayahead prices in coupled electricity markets  
The recent price coupling of many European electricity markets has triggered a fundamental change in the interaction of dayahead prices, challeng ing additionally the modeling of the joint behavior of prices in interconnected markets. We propose a regimeswitching ARGARCH copula to model pairs of dayahead electricity prices in coupled European markets. While capturing key stylized facts empirically substantiated in the literature, this model easily allows us to 1) deviate from the assumption of normal margins and 2) include a more detailed description of the dependence between prices. We base our empirical study on four pairs of prices, namely GermanyFrance, Germany Netherlands, NetherlandsBelgium and GermanyWestern Denmark. We find that the marginal dynamics are better described by the flexible skew t distribu tion than the benchmark normal distribution. Also, we find significant evidence of tail dependence in all pairs of interconnected areas we consider. As appli cations of the proposed empirical model, we consider the pricing of financial transmission rights and the forecasting of tail quantiles. In both applications, we highlight the effects of the distributional assumptions for the margins and the tail dependence. Joint work with Fred Espen Benth.  

Erik Hove Karlsen (University of Oslo, Norway)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Wed, 5. Jul 17, 15:45 
Approximation of Volterra type processes  
In this paper we find an approximation to a nonsemimartingale Volterratype process by semimartingales, and furthermore, in the setting of gen eralized LebesgueStieltjes integration, we find an approximation to the pathwise stochastic integral with this nonsemimartingale process as noise. A link to the Itˆo integral and an algorithm for numerical simulation are presented. Joint work with Giulia Di Nunno.  

Delphine Lautier (University of ParisDauphine, France)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 9:00 
Equilibrium relations between the spot and futures markets for commodi ties: an infinite horizon model  
We give new insights into the theory of the dynamic behavior of com modity prices with an infinite horizon rational expectations equilibrium model for spot and futures commodity prices. Numerical simulations of the model emphasize the heterogeneity that exists in the behavior of commodity prices by showing the link between the physical characteristics of a market and some stylized facts of commodity futures prices. They show the impact of storage costs on both the variability of the basis and on the Samuelson effect. Finally, the simulations of the model show that an increase in the speculative activity on commodity futures markets has an overall positive effect on risk premia. However, not all of the agents benefit from it.  

Dylan Possamai (University of ParisDauphine, France)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 10:15 
Volatility demand management for electricity: a moral hazard approach  
In this work, we propose a model of electricity demand management through a principalagent problem, allowing to obtain almost explicit optimal compensations for the consumer. We then illustrate our findings through several numerical experiments, putting the emphasis on the practical implementation of the contracts. (Joint work with Rene Aid and Nizar Touzi).  

Jan Palczewski (University of Leeds, UK)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 11:15 
Regresslater Monte Carlo for optimal inventory control with applications in energy  
We develop a MonteCarlo based numerical method for solving discrete time stochastic optimal control problems with inventory. These are optimal control problems in which the control affects only a deterministically evolving inventory process on a compact state space while the random underlying pro cess manifests itself through the objective functional. We propose a Regress Later modification of the traditional Regression Monte Carlo which allows to decouple inventory levels in two successive time steps and to include in the basis functions of the regression the dependence on the inventory levels. We develop a backward construction of trajectories for the inventory which enables us to use policy iteration of LongstaffSchwartz type avoiding nested simulations.Our al gorithm improves on the grid discretisation procedure largely used in literature and practice, and on the recently proposed control randomisation by Kharroubi et al. (2014). We validate our approach on two numerical examples: one is a benchmark problem of energy arbitrage used to compare different methods available in literature, the other is a highdimensional problem of the manage ment of a battery with the purpose of assisting the operations of a wind turbine in providing electricity to a group of buildings in a cost effective way. Joint work with Alessandro Balata.  

Rüdiger Kiesel (University of DuisburgEssen, Germany)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 14:00 
Empirics and analytics for intraday power markets  
We will give an introduction to shortterm electricity markets. We will start with the relation of dayahead and intraday prices on the EPEX for deliveries in Germany/Austria. In the sequel we will focus on analyzing the intraday market. We will discuss empirical properties of intraday power markets and point out development in recent years. Furthermore, we study the optimal liquidation problem for traders in intraday power markets.  

Troels Sønderby Christensen (NEAS and University of Aal borg, Denmark)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 14:45 
Stabilizing revenue using wind power futures  an empirical study of the German market  
The newly introduced wind power futures on the European Energy Exchange have brought interesting opportunities for energy market players in Germany. In this paper, we analyze the benefits of wind power futures in the context of both the buyer’s and the seller’s side. From the buyer’s side, we con sider gasfired power plants. To increase the competitiveness of such plants, we propose a simple yet powerful spotbased trading strategy taking advantage of wind power futures. The purpose of the trading strategy is twofold: 1) increase the revenue of running the gasfired power plant, and 2) minimize the variance of the revenue generated from the strategy using wind power futures. To fa cilitate optimal hedging decisions, we employ ARMAGARCH models for the marginal behavior of electricity price, gas price, and wind power production, and a mixed vine copula for the dependency between the variables. We find that significant benefits can be achieved by employing a spottrading strategy as opposed to a strategy acting in the forward market (conditional on the for ward spark spread being positive). More importantly, using wind power futures reduces the variance of the spottrading strategy significantly. From the seller’s side, we have the wind mill owners who are facing a quite volatile revenue due to their exposure to joint price and volumetric risk, which they wish to minimize. By performing a similar analysis as in the case of the gasfired power plants, we again find that wind power futures are beneficial. Joint work with Anca Pircalabu.  

Iben Cathrine Simonsen (University of Oslo, Norway)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 15:15 
The Heston stochastic volatility model in Hilbert space  
We extend the Heston stochastic volatility model to a Hilbert space framework. The stochastic variance process is defined as a tensor product of a Hilbertvalued OrnsteinUhlenbeck process with itself. We compute the dynam ics of this process under certain conditions, and project it down to the real line to compare it with the onedimensional Heston variance process. The stochastic volatility process is defined by a Cholesky decomposition of the variance process. We define another Hilbertvalued OrnsteinUhlenbeck process with Wiener noise perturbed by this stochastic volatility, and compute the characteristic functional of this process. Joint work with Fred Espen Benth.  

Nina Lange (University of Sussex, UK)  OskarMorgensternPlatz 1, Lecture Room 13, 2nd floor  Thu, 6. Jul 17, 15:45 
Risk premia in forward freight agreements  
We investigate the risk premium in cash settled forward contracts on the Baltic Exchange Indices – the socalled Forward Freight Agreements – in the dry bulk shipping markets. We estimate multiple spot price models using Markov Chain Monte Carlo. Using a structurepreserving measure change, we then calibrate the risk premium of traded FFA contracts. Finally we link the risk premium to explanatory variables like e.g., oil prices, demand and supply for shipping and the state of the global economy. Joint work with Jonas Lager and Nikos Nomikos.  

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