Price risk management in the copper market using commodity derivatives and options strategies

Metals price risk management is a key issue related to financial risk in metal markets because of uncertainty of commodity price fluctuation, exchange rate, interest rate changes and huge price risk either to metals’ producers or consumers. Thus, it has been taken into account by all participants in metal markets including metals’ producers, consumers, merchants, banks, investment funds, speculators, traders and so on. Managing price risk provides stable income for both metals’ producers and consumers, so it increases the chance that a firm will invest in attractive projects. The purpose of this research is to evaluate risk management strategies in the copper market. The main tools and strategies of price risk management are hedging and other derivatives such as futures contracts, swaps and options contracts. Hedging is a transaction designed to reduce or eliminate price risk. Derivatives are financial instruments, whose returns are derived from other financial instruments and they are commonly used for managing financial risks. Although derivatives have been around in some form for centuries, their growth has accelerated rapidly during the last 20 years. Nowadays, they are widely used by financial institutions, corporations, professional investors, and individuals. This project is focused on the over-the-counter (OTC) market and its products such as exotic options, particularly Asian options. The first part of the project is a description of basic derivatives and risk management strategies. In addition, this part discusses basic concepts of spot and futures (forward) markets, benefits and costs of risk management and risks and rewards of positions in the derivative markets. The second part considers valuations of commodity derivatives. In this part, the options pricing model DerivaGem is applied to Asian call and put options on London Metal Exchange (LME) copper because it is important to understand how Asian options are valued and to compare theoretical values of the options with their market observed values. Predicting future trends of copper prices is important and would be essential to manage market price risk successfully. Therefore, the third part is a discussion about econometric commodity models. Based on this literature review, the fourth part of the project reports the construction and testing of an econometric model designed to forecast the monthly average price of copper on the LME. More specifically, this part aims at showing how LME copper prices can be explained by means of a simultaneous equation structural model (two-stage least squares regression) connecting supply and demand variables. A simultaneous econometric model for the copper industry is built: {█(Q_t^D=e^((-5.0485))∙P_((t-1))^((-0.1868) )∙〖GDP〗_t^((1.7151) )∙e^((0.0158)∙〖IP〗_t ) @Q_t^S=e^((-3.0785))∙P_((t-1))^((0.5960))∙T_t^((0.1408))∙P_(OIL(t))^((-0.1559))∙〖USDI〗_t^((1.2432))∙〖LIBOR〗_((t-6))^((-0.0561))@Q_t^D=Q_t^S )┤ P_((t-1))^CU=e^((-2.5165))∙〖GDP〗_t^((2.1910))∙e^((0.0202)∙〖IP〗_t )∙T_t^((-0.1799))∙P_(OIL(t))^((0.1991))∙〖USDI〗_t^((-1.5881))∙〖LIBOR〗_((t-6))^((0.0717) Where, Q_t^D and Q_t^Sare world demand for and supply of copper at time t respectively. P(t-1) is the lagged price of copper, which is the focus of the analysis in this part. GDPt is world gross domestic product at time t, which represents aggregate economic activity. In addition, industrial production should be considered here, so the global industrial production growth that is noted as IPt is included in the model. Tt is the time variable, which is a useful proxy for technological change. A proxy variable for the cost of energy in producing copper is the price of oil at time t, which is noted as POIL(t ) . USDIt is the U.S. dollar index variable at time t, which is an important variable for explaining the copper supply and copper prices. At last, LIBOR(t-6) is the 6-month lagged 1-year London Inter bank offering rate of interest. Although, the model can be applicable for different base metals' industries, the omitted exogenous variables such as the price of substitute or a combined variable related to the price of substitutes have not been considered in this study. Based on this econometric model and using a Monte-Carlo simulation analysis, the probabilities that the monthly average copper prices in 2006 and 2007 will be greater than specific strike price of an option are defined. The final part evaluates risk management strategies including options strategies, metal swaps and simple options in relation to the simulation results. The basic options strategies such as bull spreads, bear spreads and butterfly spreads, which are created by using both call and put options in 2006 and 2007 are evaluated. Consequently, each risk management strategy in 2006 and 2007 is analyzed based on the day of data and the price prediction model. As a result, applications stemming from this project include valuing Asian options, developing a copper price prediction model, forecasting and planning, and decision making for price risk management in the copper market.

Game-theoretic view on intermediated exchange

Intermediaries permeate modern economic exchange. Most classical models on intermediated exchange are driven by information asymmetry and inventory management. These two factors are of reduced significance in modern economies. This makes it necessary to develop models that correspond more closely to modern financial marketplaces. The goal of this dissertation is to propose and examine such models in a game theoretical context. The proposed models are driven by asymmetries in the goals of different market participants. Hedging pressure as one of the most critical aspects in the behavior of commercial entities plays a crucial role. The first market model shows that no equilibrium solution can exist in a market consisting of a commercial buyer, a commercial seller and a non-commercial intermediary. This indicates a clear economic need for non-commercial trading intermediaries: a direct trade from seller to buyer does not result in an equilibrium solution. The second market model has two distinct intermediaries between buyer and seller: a spread trader/market maker and a risk-neutral intermediary. In this model a unique, natural equilibrium solution is identified in which the supply-demand surplus is traded by the risk-neutral intermediary, whilst the market maker trades the remainder from seller to buyer. Since the market maker’s payoff for trading at the identified equilibrium price is zero, this second model does not provide any motivation for the market maker to enter the market. The third market model introduces an explicit transaction fee that enables the market maker to secure a positive payoff. Under certain assumptions on this transaction fee the equilibrium solution of the previous model applies and now also provides a financial motivation for the market maker to enter the market. If the transaction fee violates an upper bound that depends on supply, demand and riskaversity of buyer and seller, the market will be in disequilibrium.

The Risk Management of Minimum Return Guarantees

Contracts paying a guaranteed minimum rate of return and a fraction of a positive excess rate, which is specified relative to a benchmark portfolio, are closely related to unit-linked life-insurance products and can be considered as alternatives to direct investment in the underlying benchmark. They contain an embedded power option, and the key issue is the tractable and realistic hedging of this option, in order to rigorously justify valuation by arbitrage arguments and prevent the guarantees from becoming uncontrollable liabilities to the issuer. We show how to determine the contract parameters conservatively and implement robust risk-management strategies.

Zu welchem Preis können Versicherer "ineffektive" Risikomanagementinstrumente anbieten? - Zur Analyse der Effizienz von Wetterderivaten -

Seit Mitte der 1990er Jahre werden „Wetterderivate“ als neues Instrument zum Management wetterbedingter Mengenrisiken diskutiert. Im Gegensatz zu schadensbezogenen Versicherungen erfolgt der Hedge bei Wetterderivaten durch an Wetterindizes (Niederschlagssummen, Temperatursummen etc.) gekoppelte Zahlungen, die an einer festgelegten Referenzwetterstation gemessen werden. Im vorliegenden Beitrag wird ein Risk-Programming Ansatz vorgestellt, mit dem die Zahlungsbereitschaft landwirtschaftlicher Unternehmen für Risikomanagementinstrumente im Allgemeinen und Wetterderivate im Speziellen bestimmt werden kann. Dabei wird sowohl das betriebspezifische Risikoreduzierungspotenzial des betrachteten Instruments als auch die individuelle Risikoakzeptanz des Entscheiders berücksichtigt. Die exemplarische Anwendung des Ansatzes auf ein Brandenburger Landwirtschaftsunternehmen zeigt, dass selbst für einen standardisierten Optionskontrakt, der sich auf die an der Wetterstation Berlin-Tempelhof gemessenen Niederschläge bezieht, eine relevante Zahlungsbereitschaft seitens des Landwirts besteht. Diese Zahlungsbereitschaft ist so hoch, dass der Anbieter sogar einen Aufpreis verlangen könnte, der über dem traditioneller Versicherungen liegt. Angesichts der gegenüber schadensbezogenen Versicherungen deutlich geringeren Transaktionskosten deutet dies auf ein erhebliches Handelspotenzial für Wetterderivate hin.

Zu welchem Preis können Versicherer "ineffektive" Risikomanagementinstrumente anbieten? - Zur Analyse der Effizienz von Wetterderivaten -

Seit Mitte der 1990er Jahre werden „Wetterderivate“ als neues Instrument zum Management wetterbedingter Mengenrisiken diskutiert. Im Gegensatz zu schadensbezogenen Versicherungen erfolgt der Hedge bei Wetterderivaten durch an Wetterindizes (Niederschlagssummen, Temperatursummen etc.) gekoppelte Zahlungen, die an einer festgelegten Referenzwetterstation gemessen werden. Im vorliegenden Beitrag wird ein Risk-Programming Ansatz vorgestellt, mit dem die Zahlungsbereitschaft landwirtschaftlicher Unternehmen für Risikomanagementinstrumente im Allgemeinen und Wetterderivate im Speziellen bestimmt werden kann. Dabei wird sowohl das betriebspezifische Risikoreduzierungspotenzial des betrachteten Instruments als auch die individuelle Risikoakzeptanz des Entscheiders berücksichtigt. Die exemplarische Anwendung des Ansatzes auf ein Brandenburger Landwirtschaftsunternehmen zeigt, dass selbst für einen standardisierten Optionskontrakt, der sich auf die an der Wetterstation Berlin-Tempelhof gemessenen Niederschläge bezieht, eine relevante Zahlungsbereitschaft seitens des Landwirts besteht. Diese Zahlungsbereitschaft ist so hoch, dass der Anbieter sogar einen Aufpreis verlangen könnte, der über dem traditioneller Versicherungen liegt. Angesichts der gegenüber schadensbezogenen Versicherungen deutlich geringeren Transaktionskosten deutet dies auf ein erhebliches Handelspotenzial für Wetterderivate hin.

Live Cattle Futures and Options: How Have They Done?

Futures did reduce price risk. Hedging produced a higher minimum return and higher return at the 25th percentile (75% of the returns are better than this figure) than did the cash market. The 50th percentile, or median return, was higher for yearlings in the cash market than hedged cattle, and the calves had mixed results. Although the differences are not great, there have been months when the option strategies performed better than cash or futures, (i.e., January–April and September–October), and there are months when they did not fare well (i.e., June–August).

Self-dual continuous processes

The important application of semi-static hedging in financial markets naturally leads to the notion of conditionally quasi self-dual processes which is, for continuous semimartingales, related to conditional symmetry properties of both their ordinary as well as their stochastic logarithms. We provide a structure result for continuous conditionally quasi self-dual processes. Our main result is to give a characterization of continuous Ocone martingales via a strong version of self-duality.

A Stieltjes approach to static hedges

Static hedging of complicated payoff structures by standard instruments becomes increasingly popular in finance. The classical approach is developed for quite regular functions, while for less regular cases, generalized functions and approximation arguments are used. In this note, we discuss the regularity conditions in the classical decomposition formula due to P. Carr and D. Madan (in Jarrow ed, Volatility, pp. 417–427, Risk Publ., London, 1998) if the integrals in this formula are interpreted as Lebesgue integrals with respect to the Lebesgue measure. Furthermore, we show that if we replace these integrals by Lebesgue–Stieltjes integrals, the family of representable functions can be extended considerably with a direct approach.

Quasi-Self-Dual Exponential Lévy Processes

The important application of semistatic hedging in financial markets naturally leads to the notion of quasi--self-dual processes. The focus of our study is to give new characterizations of quasi--self-duality. We analyze quasi--self-dual Lévy driven markets which do not admit arbitrage opportunities and derive a set of equivalent conditions for the stochastic logarithm of quasi--self-dual martingale models. Since for nonvanishing order parameter two martingale properties have to be satisfied simultaneously, there is a nontrivial relation between the order and shift parameter representing carrying costs in financial applications. This leads to an equation containing an integral term which has to be inverted in applications. We first discuss several important properties of this equation and, for some well-known Lévy-driven models, we derive a family of closed-form inversion formulae.

Increasing Derivatives Market Activity in Emerging Markets and Exchange Rate Exposure

Understanding the effects of off-balance sheet transactions on interest and exchange rate exposures has become more important for emerging market countries that are experiencing remarkable growth in derivatives markets. Using firm level data, we report a significant fall in exposure over the past 10 years and relate this to higher derivatives market participation. Our methodology is composed of a three stage approach: First, we measure foreign exchange exposures using the Adler-Dumas (1984) model. Next, we follow an indirect approach to infer derivatives market participation at the firm level. Finally, we study the relationship between exchange rate exposure and derivatives market participation. Our results show that foreign exchange exposure is negatively related to derivatives market participation, and support the hedging explanation of the exchange rate exposure puzzle. This decline is especially salient in the financial sector, for bigger firms, and over longer time periods. Results are robust to using different exchange rates, a GARCH-SVAR approach to measure exchange rate exposure, and different return horizons.

Morphology of Orbulina universa and Globorotalia scitula across local extinctions during Sapropel S5 (Eastern Mediterranean Sea, c.126-121 ka)

Extinction is a remarkably difficult phenomenon to study under natural conditions. This is because the outcome of stress exposure and associated fitness reduction is not known until the extinction occurs and it remains unclear whether there is any phenotypic reaction of the exposed population that can be used to predict its fate. Here we take advantage of the fossil record, where the ecological outcome of stress exposure is known. Specifically, we analyze shell morphology of planktonic Foraminifera in sediment samples from the Mediterranean, during an interval preceding local extinctions. In two species representing different plankton habitats, we observe shifts in trait state and decrease in variance in association with non-terminal stress, indicating stabilizing selection. At terminal stress levels, immediately before extinction, we observe increased growth asymmetry and trait variance, indicating disruptive selection and bet-hedging. The pre-extinction populations of both species show a combination of trait states and trait variance distinct from all populations exposed to non-terminal levels of stress. This finding indicates that the phenotypic history of a population may allow the detection of threshold levels of stress, likely to lead to extinction. It is thus an alternative to population dynamics in studying and monitoring natural population ecology.

Evaluation of the trading development in the Iberian Energy Derivatives Market

The efficiency of the Iberian Energy Derivatives Market in its first five and a half years is assessed in terms of volume, open interest and price. The continuous market shows steady liquidity growth. Its volume is strongly correlated to that of the Over The Counter (OTC) market, the amount of market makers, the enrolment of financial agents and generation companies belonging to the integrated group of last resort suppliers, and the OTC cleared volume in its clearing house. The hedging efficiency, measured through the ratio between the final open interest and the cleared volume, shows the lowest values for the Spanish base load futures as they are the most liquid contracts. The ex-post forward risk premium has diminished due to the learning curve and the effect of the fixed price retributing the indigenous coal fired generation. This market is quite less developed than the European leaders headquartered in Norway and Germany. Enrolment of more traders, mainly international energy companies, financial agents, energy intensive industries and renewable generation companies is desired. Market monitoring reports by the market operator providing post-trade transparency, OTC data access by the energy regulator, and assessment of the regulatory risk can contribute to efficiency gains.