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E-book: Stochastics of Environmental and Financial Economics: Centre of Advanced Study, Oslo, Norway, 2014-2015

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These Proceedings offer a selection of peer-reviewed research and survey papers by some of the foremost international researchers in the fields of finance, energy, stochastics and risk, who present their latest findings on topical problems. The papers cover the areas of stochastic modeling in energy and financial markets; risk managemen t with environmental factors from a stochastic control perspective; and valuation and hedging of derivatives in markets dominated by renewables, all of which further develop the theory of stochastic analysis and mathematical finance. The papers were presented at the first conference on "Stochastics of Environmental and Financial Economics (SEFE)", being part of the activity in the SEFE research group of the Centre of Advanced Study (CAS) at the Academy of Sciences in Oslo, Norway during the 2014/2015 academic year.

Some recent developments in ambit stochastics.- Functional and Banach space stochastic calculi. Path-dependent Kolmogorov equations associated with the frame of a Brownian motion.- Nonlinear Young integrals via fractional calculus.- A weak limit theorem for numerical approximation of Brownian semi-stationary processes.- Non-elliptic SPDEs and ambit fields: existence of densities.- Dynamic risk measures and path-dependent second order PDEs.- Pricing CoCos with a market trigger.- Quantification of model risk in quadratic hedging in finance.- Risk-sensitive mean-field type control under partial observation.- Risk aversion in modeling of cap-and-trade mechanism and optimal design of emission markets.- Exponential ergodicity of the jump-diffusion CIR process.- Optimal control of predictive mean-field equations and applications to finance.- Modelling the impact of wind power production on electricity prices by regime-switching Levy semistationary processes.- Pricing options on EU ETS ce

rtificates with a time-varying market price of risk model.

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This is an open access book, the electronic versions are freely accessible online.
Part I Foundations
Some Recent Developments in Ambit Stochastics
3(24)
Ole E. Barndorff-Nielsen
Emil Hedevang
Jurgen Schmiegel
Benedykt Szozda
Functional and Banach Space Stochastic Calculi: Path-Dependent Kolmogorov Equations Associated with the Frame of a Brownian Motion
27(54)
Andrea Cosso
Francesco Russo
Nonlinear Young Integrals via Fractional Calculus
81(20)
Yaozhong Hu
Khoa N. Le
A Weak Limit Theorem for Numerical Approximation of Brownian Semi-stationary Processes
101(20)
Mark Podolskij
Nopporn Thamrongrat
Non-elliptic SPDEs and Ambit Fields: Existence of Densities
121(26)
Marta Sanz-Sole
Andre Suß
Part II Applications
Dynamic Risk Measures and Path-Dependent Second Order PDEs
147(32)
Jocelyne Bion-Nadal
Pricing CoCos with a Market Trigger
179(32)
Jose Manuel Corcuera
Arturo Valdivia
Quantification of Model Risk in Quadratic Hedging in Finance
211(32)
Catherine Daveloose
Asma Khedher
Michele Vanmaele
Risk-Sensitive Mean-Field Type Control Under Partial Observation
243(22)
Boualem Djehiche
Hamidou Tembine
Risk Aversion in Modeling of Cap-and-Trade Mechanism and Optimal Design of Emission Markets
265(20)
Paolo Falbo
Juri Hinz
Exponential Ergodicity of the Jump-Diffusion CIR Process
285(16)
Peng Jin
Barbara Rudiger
Chiraz Trabelsi
Optimal Control of Predictive Mean-Field Equations and Applications to Finance
301(20)
Bernt Øksendal
Agnes Sulem
Modelling the Impact of Wind Power Production on Electricity Prices by Regime-Switching Levy Semistationary Processes
321(20)
Almut E.D. Veraart
Pricing Options on EU ETS Certificates with a Time-Varying Market Price of Risk Model
341
Ya Wen
Rudiger Kiesel