The valuation of clean spread options: linking electricity, emissions and fuels

The purpose of the paper is to present a new pricing method for clean spread options, and to illustrate its main features on a set of numerical examples produced by a dedicated computer code. The novelty of the approach is embedded in the use of a structural model as opposed to reduced-form models which fail to capture properly the fundamental dependencies between the economic factors entering the production process

Risk-Neutral Pricing of Financial Instruments in Emission Markets: A Structural Approach

We present a novel approach to the pricing of financial instruments in emission markets, for example, the EU ETS. The proposed structural model is positioned between existing complex full equilibrium models and pure reduced form models. Using an exogenously specified demand for a polluting good it gives a causal explanation for the accumulation of CO2 emissions and takes into account the feedback effect from the cost of carbon to the rate at which the market emits CO2. We derive a forward-backward stochastic differential equation for the price process of the allowance certificate and solve the associated semilinear partial differential equation numerically. We also show that derivatives written on the allowance certificate satisfy a linear partial differential equation. The model is extended to emission markets with multiple compliance periods and we analyse the impact different intertemporal connecting mechanisms, such as borrowing, banking and withdrawal, have on the allowance price.Comment: Section 5 in this version is new and contains an asymptotic analysis of the problem under consideratio

Optimal Investment in Energy Efficiency under Uncertainty

This paper deals with the optimal time to invest in an energy efficiency improvement. There is a broad consensus that such investments quickly pay for themselves in lower energy bills and spared emission allowances. However, investments that at first glance seem worthwhile are frequently not undertaken. Our aim is to shed some light on this issue. In particular, we try to assess these projects from a financial point of view so as to attract sufficient interest from the investment community. We consider the specific case of a firm or utility already in place that consumes huge amounts of coal and operates under restrictions on carbon dioxide emissions. In order to reduce both coal and carbon costs the firm may undertake an investment to enhance energy efficiency. We consider three sources of uncertainty: the fuel commodity price, the emission allowance price, and the overall investment cost. The parameters of the coal price process and the carbon price process are estimated from observed futures prices. The numerical parameter values are then used in a three-dimensional binomial lattice to assess the value of the option to invest. As usual, maximising this value involves determining the optimal exercise time. Thus we compute the trigger investment cost, i.e. the threshold level below which immediate investment would be optimal. A sensitivity analysis is also undertaken. Our results go some way towards explaining the so-called energy efficiency paradox.Energy efficiency, Real options

Risk Assessment for a Structured Product Specific to the CO2 Emission Permits Market

The aim of this work is to use a new modelling technique for CO2 emission prices, in order to estimate the risk associated with a related, structured product. After a short discussion of the specificities of this market, we investigate several modelling methods for CO2 emission prices. We use these results for risk modeling of the swap between two CO2 related instruments : the European Union Allowances and the Certified Emission Reductions. We estimate the counterparty risk for this kind of transaction and evaluate the impact of different models on the risk measure and the allocated capital.Carbon ; Generalized Hyperbolic Distribution ; CER ; EUA ; Swap ; Value at Risk

Modeling long-term electricity forward prices

In contrast to forwards and futures on storable commodities, prices of long-term electricity forwards exhibit a dynamics different to that of short-term and mid-term prices. We model long-term electricity forward prices through demand and supply for electricity, adjusted with a risk premium. Long-term prices of electricity, oil, coal, natural gas, emission allowance, imported electricity and aluminum are modeled with a vector autoregressive model. To estimate the model we use weekly prices of far-maturity forwards relevant for Nordic electricity market. Electricity prices experienced few substantial shocks during the period analyzed, however, we found no evidence of a structural break. Cointegration analysis indicates two stationary cointegrating vectors. Nord Pool price is found significant in the short- and the long-run model, while the gas price is insignificant in both. Other variables are significant only in the long-run model. The model shows some influence of the risk premium, however not on the long-term electricity forwards at Nord Pool.Electricity prices; long-term forward prices; VAR modeling; cointegration

Tradable permits for greenhouse gas emissions and investments in heat and power generation

This thesis explores how tradable greenhouse gas emission permit systems affect investments in heat and power generation. The research question is approached from a capital investor's or the regulator's perspective with six individual articles. Cap-and-trade and baseline-and-credit emissions trading systems are analyzed. The value of an emission permit and other relevant decision variables are treated as stochastic processes in a risk-adjusted framework. Models combining simulation and dynamic programming are presented to analyze single-firm problems with several stochastic variables. The approach extends the standard discounted cash flow analysis by taking into account the value of management's flexibility to adapt and revise later its decisions in response to market development. The implications are analyzed and discussed in association with several technologies. The thesis contributes to the research on emissions trading system design and on practical implications of emissions trading systems on investments in heat and power plants.reviewe

Derivative Pricing and Hedging on Carbon Market

The aim of this work is to bring an econometric approach upon the CO2 market. We identify the specificities of this market, and analyze the carbon as a commodity. We investigate the econometric particularities of CO2 prices behavior and their result of the calibration. We apprehend and explain the reasons of the non-Gaussian behavior of this market focusing mainly upon jump diffusions and generalized hyperbolic distributions. These models are used for pricing and hedging of carbon options. We estimate the pricing accuracy of each model and the capacity to provide an efficient dynamic hedging.Carbon, Normal Inverse Gaussian, CER, EUA, swap.

Long Term Dynamics in CO2 Allowance Prices and Carbon Capture Investments

In this paper we analyse the behaviour of the EU market for CO2 emission allowances; specifically, we focus on the contracts maturing in the Kyoto Protocol's second period of application (2008 to 2012). We calibrate the underlying parameters for the allowance price in the long run and we also calibrate those from the Spanish wholesale electricity market. This information is then used to assess the option to install a carbon capture and storage (CCS) unit in a coal-fired power plant. We use a two-dimensional binomial lattice where costs and profits are valued and the optimal investment time is determined. In other words, we study the trigger allowance prices above which it is optimal to install the capture unit immediately. We further analyse the impact of several variables on the critical prices, among them allowance price volatility and a hypothetical government subsidy. We conclude that, at current permit prices, from a financial point of view, immediate installation does not seem justified. This need not be the case, though, if carbon market parameters change dramatically and/or a specific policy to promote these units is adopted

Designing Climate Mitigation Policy

This paper provides an exhaustive review of critical issues in the design of climate mitigation policy by pulling together key findings and controversies from diverse literatures on mitigation costs, damage valuation, policy instrument choice, technological innovation, and international climate policy. We begin with the broadest issue of how high assessments suggest the near and medium term price on greenhouse gases would need to be, both under cost-effective stabilization of global climate and under net benefit maximization or Pigouvian emissions pricing. The remainder of the paper focuses on the appropriate scope of regulation, issues in policy instrument choice, complementary technology policy, and international policy architectures.global warming damages, mitigation cost, climate policy, instrument choice, technology policy

Environmental Law and Policy

This chapter provides an economic perspective of environmental law and policy with regard to both normative and positive dimensions. It begins with an examination of the central problem in environmental regulation: the tendency of pollution generators in an unconstrained market economy to externalize some of the costs of their production, leading to an inefficiently large amount of pollution. We examine the ends of environmental policy, that is, the setting of goals and targets, beginning with normative issues, notably the Kaldor-Hicks criterion and the related method of assessment known as benefit-cost analysis. We examine this analytical method in detail, including its theoretical foundations and empirical methods of estimation of compliance costs and environmental benefits. We include a review of critiques of benefit-cost analysis, briefly examine alternative approaches to analyzing the goals of environmental policies, and survey the efforts of the Federal governmental to employ these analytical methods. The chapter also examines in detail the means of environmental policy, that is, the choice of specific policy instruments, beginning with an examination of potential criteria for assessing alternative instruments, with particular focus on cost-effectiveness. The theoretical foundations and experiential highlights of individual instruments are reviewed, including conventional, command-and-control mechanisms, economic incentive or market-based instruments, and liability rules. In the economic-incentive category, we consider pollution charges, tradeable permit systems, market friction reductions, and government subsidy reductions. Three cross-cutting issues receive attention: implications of uncertainty for instrument choice; effects of instrument choice on technological change; and distributional considerations. We identify a set of normative lessons in regard to design, implementation, and the identification of new applications, and we examine positive issues, including three phenomena: the historical dominance of command-and-control; the prevalence in new proposals of tradeable permits allocated without charge; and the relatively recent increase in attention given to market-based instruments. Finally, the chapter turns to the question of how environmental responsibility is and should be allocated among the various levels of government. We provide a positive review of the responsibilities of Federal, state, and local levels of government in the environmental realm, plus a normative assessment of this allocation of regulatory responsibility. We focus on three arguments that have been made for Federal environmental regulation: competition among political jurisdictions and the race to the bottom; transboundary environmental problems; and public choice and systematic bias.