Weather Derivatives and Weather Risk Management

Weather derivatives are a relatively recent kind of financial product developed to manage weather risks, and currently the weather derivatives market is the fastest-growing derivative market. The development of weather derivatives represents one of the recent trends toward the convergence of insurance and finance. This article presents an overview of weather risks, weather derivatives, and the weather derivatives market, and examines the valuation of weather derivatives in an incomplete market, the hedging effectiveness of standardized weather derivatives, as well as optimal weather hedging with the consideration of basis risk and credit risk.     

Financial Innovation in the Management of Catastrophe Risk

Like the preceding article, this article argues that the high costs of reinsurance present the opportunity for hedging instruments to be offered to primary insurers that are both competitive with current reinsurance and that offer investors high rates of return. But the combination of high reinsurance premiums and the vast capacity of the capital market for diversification is not sufficient to ensure the success of these new instruments. If new instruments such as catastrophe options and catastrophelinked bonds are to compete successfully with reinsurance, they must provide a cost-effective means of resolving incentive conflicts between the primary insurer and the ultimate risk bearer that are known as "moral hazard." Without an effective solution of this moral hazard problem, the use of past insurance loss data to estimate the potential returns for purchasers of catastrophe bonds and other such instruments will be misleading and unreliable.
As the author demonstrates, both traditional reinsurance and each of the new catastrophe hedging instruments presents insurance companies and other hedgers with the challenge of managing a different combination of moral hazard, credit risk, and basis risk. For example, traditional catastrophe reinsurance is subject to significant credit risk and moral hazard, but little if any basis risk. By contrast, both catastrophe options and bonds can be designed in ways that reduce moral hazard and credit risk, but at the cost of taking on some basis risk. The risk manager's task in such circumstances is to design an instrument that embodies the optimal, or cost-minimizing, trade-off among these three sources of risk.     

金融衍生品对商业银行信贷风险控制的影响研究

近年来,许多中国企业从事金融衍生品交易受到重创并陷入财务困境,给相关银行带来巨大的信贷风险。本文从商业银行信贷风险控制的角度,首先探讨了企业利用金融衍生品进行套期保值的积极意义以及该业务一旦转化为投机给企业带来的巨大风险,发生这种转化的关键原因是其内部控制失效。商业银行不应对正常套期保值的企业惜贷,但必须对涉及金融衍生品交易的企业贷款提高风险意识,一方面要严格监控贷款企业的相关内部控制机制,另一方面也要建立银行自身与衍生品交易企业贷款有关的内部控制机制,这一机制包括事前防范、事中监控和事后处理三个方面。     

Pricing Weather Derivatives Using the Indifference Pricing Approach

Abstract

This paper adopts an incomplete market pricing model–the indifference pricing approach–to analyze valuation of weather derivatives and the viability of the weather derivatives market in a hedging context. It incorporates price risk, weather/quantity risk, and other risks in the financial market. In a mean-variance framework, the relationship between the actuarial price and the indifference price of weather derivatives is analyzed, and conditions are obtained concerning when the actuarial price does not provide an appropriate valuation for weather derivatives. Conditions for the viability of the weather derivatives market are examined. This paper also analyzes the effects of partial hedging, natural hedges, basis risk, quantity risk, and price risk on investors’ indifference prices by examining the distributional impacts of the stochastic variables involved.     

Credit derivatives: international developments and lessons for India

Credit derivatives have been popular instruments for hedging of credit risks by banks and financial institutions. The notional value outstanding of credit default swap contracts, a type of credit derivative most in use, increased from US$6.4 trillion in December 2004 to US$57.89 trillion in December, 2007. However, this instrument, which was once ‘apple of the eye’ of market players, lost its sheen in the wake of the sub-prime crisis when it was perceived to have played a major role in igniting the crisis and spreading it across the global financial system. This article presents how this came about and the after thought of the regulators of developed countries in regulating these instruments. It then looks at what lessons India can draw from the experience of the Western nations before considering introduction of credit derivatives in the Indian markets.     

Financing Policy, Basis Risk, and Corporate Hedging: Evidence from Oil and Gas Producers

This paper studies the hedging policies of oil and gas producers between 1992 and 1994. My evidence shows that the extent of hedging is related to financing costs. In particular, companies with greater financial leverage manage price risks more extensively.My evidence also shows that the likelihood of hedging is related to economies of scale in hedging costs and to the basis risk associated with hedging instruments. Larger companies and companies whose production is located primarily in regions where prices have a high correlation with the prices on which exchange-traded derivatives are based are more likely to manage risks.     

Pricing Derivatives on Financial Securities Subject to Credit Risk

This article provides a new methodology for pricing and hedging derivative securities involving credit risk. Two types of credit risks are considered. The first is where the asset underlying the derivative security may default. The second is where the writer of the derivative security may default. We apply the foreign currency analogy of Jarrow and Turnbull (1991) to decompose the dollar payoff from a risky security into a certain payoff and a “spot exchange rate.” Arbitrage-free valuation techniques are then employed. This methodology can be applied to corporate debt and over the counter derivatives, such as swaps and caps.     

天气衍生品的运作机制与精算定价

天气衍生品是为了规避天气风险给天气敏感行业带来收入的不稳定性而兴起的创新型风险管理工具,其实质是通过衍生合约对天气风险进行分割、重组和交易的证券化产品。不同于传统金融衍生品,天气衍生品的价值取决于温度、湿度或降雨量等天气指数。本文在分析天气衍生品市场发展的基础上,重点探讨了最常见的天气期货和天气期权的运作机制及其精算定价。     

Risk Management: History,Definition, and Critique

The study of risk management began after World War II. Risk management has long been associated with the use of market insurance to protect individuals and companies from various losses associated with accidents. Other forms of risk management, alternatives to market insurance, surfaced during the 1950s when market insurance was perceived as very costly and incomplete for protection against pure risk. The use of derivatives as risk management instruments arose during the 1970s, and expanded rapidly during the 1980s, as companies intensified their financial risk management. International risk regulation began in the 1980s, and financial firms developed internal risk management models and capital calculation formulas to hedge against unanticipated risks and reduce regulatory capital. Concomitantly, governance of risk management became essential, integrated risk management was introduced, and the chief risk officer positions were created. Nonetheless, these regulations, governance rules, and risk management methods failed to prevent the financial crisis that began in 2007.     

To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies

Demographic risk, i.e., the risk that life tables change in a nondeterministic way, is a serious threat to the financial stability of an insurance company having underwritten life insurance and annuity business. The inverse influence of changes in mortality laws on the market value of life insurance and annuity liabilities creates natural hedging opportunities. Within a realistically calibrated shareholder value (SHV) maximization framework, we analyze the implications of demographic risk on the optimal risk management mix (equity capital, asset allocation, and product policy) for a limited liability insurance company operating in a market with insolvency‐averse insurance buyers. Our results show that the utilization of natural hedging is optimal only if equity is scarce. Otherwise, hedging can even destroy SHV. A sensitivity analysis shows that a misspecification of demographic risk has severe consequences for both the insurer and the insured. This result highlights the importance of further research in the field of demographic risk.     

农业自然风险的金融管理：天气衍生品的兴起

天气衍生品是农业保险创新的产物，它将金融工具的理念用于自然灾害的风险管理，为农业生产者的风险转移提供了新途径。天气衍生品的推出可以增强保险公司和再保险公司分散风险的能力，有助于提高农业自然风险的管理水平。本文介绍了全球天气衍生品发展的产品与市场状况，并提出了相关的政策建议。     

A Fair Pricing Approach to Weather Derivatives

This paper proposes a consistent approach to the pricing of weather derivatives. Since weather derivatives are traded in an incomplete market setting, standard hedging based pricing methods cannot be applied. The growth optimal portfolio, which is interpreted as a world stock index, is used as a benchmark or numeraire such that all benchmarked derivative price processes are martingales. No measure transformation is needed for the proposed fair pricing. For weather derivative payoffs that are independent of the value of the growth optimal portfolio, it is shown that the classical actuarial pricing methodology is a particular case of the fair pricing concept. A discrete time model is constructed to approximate historical weather characteristics. The fair prices of some particular weather derivatives are derived using historical and Gaussian residuals. The question of weather risk as diversifiable risk is also discussed. 1991 Mathematics Subject Classification: primary 90A12; secondary 60G30; 62P20 JEL Classification: C16, G10, G13     

Mitigating Interest Rate Risk in Variable Annuities: An Analysis of Hedging Effectiveness under Model Risk

Variable annuities are investment vehicles offered by insurance companies that combine a life insurance policy with long-term financial guarantees. These guarantees expose the insurer to market risks, such as volatility and interest rate risks, which can be managed only with a hedging strategy. The objective of this article is to study the effectiveness of dynamic delta-rho hedging strategies for mitigating interest rate risk in variable annuities with either a guaranteed minimum death benefit or guaranteed minimum withdrawal benefit rider. Our analysis centers on three important practical issues: (1) the robustness of delta-rho hedging strategies to model uncertainty, (2) the impact of guarantee features (maturity versus withdrawal benefits) on the performance of the hedging strategy, and (3) the importance of hedging interest rate risk in either a low and stable or rising interest rate environment. Overall, we find that the impact of interest rate risk is equally felt for the two types of products considered, and that interest rate hedges do lead to a significant risk reduction for the insurer, even when the ongoing low interest rate environment is factored in.     

Weather Risk Hedging in the European Markets and International Investment Diversification

This article analyses weather risk hedging efficiency in three European countries using weather derivatives traded at Chicago Mercantile Exchange (CME) and explores the potential of weather derivatives as a new investment asset to further diversify investors’ portfolios. The results document that the CME European weather contracts are generally effective in hedging the temperature risk in the three European countries. However, for a specific country, weather risk hedging using other countries’ weather indexes is generally not effective. Zero or little correlation among international weather indexes and stock market indexes indicates that weather derivatives should be an efficient investment diversifier. This research provides important insights to both weather risk hedgers and investors.     

Managing the risks of energy efficiency insurances in a portfolio context: An actuarial diversification approach

To achieve ambitious international climate goals, an increase of energy efficiency investments is necessary and, thus, a growing market potential arises. Concomitantly, the relevance of managing the risk of financing and insuring energy efficiency measures increases continuously. Energy Efficiency Insurances encourage investors by guaranteeing a predefined energy efficiency performance. However, literature on quantitative analysis of pricing and diversification effects of such novel insurance solutions is scarce. This paper provides a first approach for the analysis of diversification potential on three levels: collective risk diversification, cross product line diversification, and financial hedging. Based on an extensive real-world data set for German residential buildings, the analysis reveals that underwriting different Energy Efficiency Insurance types and constructing Markowitz Minimum Variance Portfolios halves overall risk in terms of standard deviation. We evince that Energy Efficiency Insurances can diversify property insurance portfolios and reduce regulatory capital for insurers under Solvency II constraints. Moreover, we show that Energy Efficiency Insurances potentially supersede financial market instruments such as weather derivatives in diversifying property insurance portfolios. In summary, these three levels of diversification effects constitute an additional benefit for the introduction of Energy Efficiency Insurances and may positively impact their market development.     

Derivatives: Understanding Their Usefulness and Their Role in the Financial Crisis

This article makes two main arguments that are intended to guide policymakers and regulators of financial markets: (1) when used properly, derivatives are enormously useful to companies in managing business risks; and (2) neither derivatives nor derivatives‐related products played significant roles in causing or exacerbating the financial crisis of 2007–2009. The author begins by illustrating the corporate use of derivatives with a detailed example of how a large brewer uses both exchange‐traded wheat futures and over‐the‐counter aluminum swaps to hedge the risks of higher wheat and aluminum prices. In the process, the value of much‐maligned OTC derivatives, and the role of financial intermediaries in facilitating their use, are clearly demonstrated. The second part of the article refutes the popular claims, widely expressed in the media and on Capitol Hill, that derivatives were at the heart of the financial crisis. Losses and failures during the crisis are shown to have resulted primarily from excessive non‐derivative leverage and from investments in non‐derivative mortgage products that fell dramatically in value. The only significant exception involved the insurance company AIG, whose failure and bailout are attributable not only to large losses on credit default swaps, but to comparable losses on non‐derivative mortgage products. Moreover, by the time AIG failed, many other large financial institutions had already either failed or experienced large losses. What's more, and all but forgotten during the controversy, some large banks were able to reduce risk by hedging with those derivatives.     

Risk management of deposit insurance corporations with risk-based premiums and credit default swaps

In this paper, we propose a risk-based model for deposit insurance premiums and provide the closed-form formula for premiums, including early closure, capital forbearance, interest rate risk, and moral hazard. Our numerical analysis confirms the proposed pricing formula and the relative impact of the provisions for deposit insurance premiums. We illustrate how to use credit default swaps (CDSs) to manage the bank’s asset risk corresponding to the deposit insurance model. A failed bank, Washington Mutual, is used to demonstrate how to calibrate the model’s parameters and calculate fair premiums that are consistent with market risks on the basis of our proposed model and credit derivatives. Finally, a numerical experiment is designed to determine the optimal hedge ratio, which can minimise the variance of cash-flow of the deposit insurance corporations.     

Risk and hedging: Do credit derivatives increase bank risk?

The objective of this paper is to investigate whether financial innovation of credit derivatives makes banks more exposed to credit risk. Although credit derivatives are important for hedging and securitizing credit risk – and thereby likely to enhance the sharing of such risk – some commentators have raised concerns that they may destabilize the banking sector. This paper investigates this issue in a simple model driven by costs of financial distress. The analysis identifies two effects of credit derivatives innovation – they enhance risk sharing as suggested by the hedging argument – but they also make further acquisition of risk more attractive. The latter effect, if dominant, can therefore destabilize the banking sector. The critical factor is, perhaps surprisingly, the competitive nature of the existing underlying credit markets. As these markets become more elastic the threat of destabilization increases. The paper discusses issues related to bank regulation within the context of the model.     

信用衍生产品与金融安全和金融效率

信用衍生产品是重要的信用风险转移工具.本文通过分析信用衍生产品对金融安全和金融效率的影响,研究信用衍生产品发展规律,认为信用衍生产品转移的信用风险在市场容纳能力限度内,市场能够分散吸收,提高金融效率;反之,超出市场限度,就会放大风险,引发金融危机.     

信用衍生产品与金融安全和金融效率

信用衍生产品是重要的信用风险转移工具。本文通过分析信用衍生产品对金融安全和金融效率的影响,研究信用衍生产品发展规律,认为信用衍生产品转移的信用风险在市场容纳能力限度内,市场能够分散吸收,提高金融效率;反之,超出市场限度,就会放大风险,引发金融危机。