THE PRICING OF FUTURES CONTRACTS AND THE ARBITRAGE PRICING THEORY

When interest rates are stochastic, the cash flows of futures and forward contracts differ because of the marking-to-market requirement of futures contracts. The price effect of this difference is examined here by applying the risk and return model of the arbitrage pricing theory. The resulting futures pricing equation is preference free, and is obtainable using other no-arbitrage approaches. The pricing equation suggests that the price difference is due to the covariance of spot asset returns and interest rates. An empirical study is conducted on the Major Market Index futures from October 1, 1984 to September 27, 1985. Results indicate that the covariance, extracted by the Kalman filter according to the pricing equation, is significant in the pricing of futures contracts.     

Testing for constant hedge ratios in commodity markets: a multivariate GARCH approach

We develop a new multivariate generalized ARCH (GARCH) parameterization suitable for testing the hypothesis that the optimal futures hedge ratio is constant over time, given that the joint distribution of cash and futures prices is characterized by autoregressive conditional heteroskedasticity (ARCH). The advantage of the new parameterization is that it allows for a flexible form of time-varying volatility, even under the null of a constant hedge ratio. The model is estimated using weekly corn prices. Statistical tests reject the null hypothesis of a constant hedge ratio and also reject the null that time variation in optimal hedge ratios can be explained solely by deterministic seasonality and time to maturity effects.     

Optimal Futures Positions for Large Banking Firms

In this paper, we extend earlier work on hedging models so that uncertainty about both deposit supply and loan demand is incorporated as well as random rates of return on loans and CD's. Our model suggests that the optimal forward position is the sum of three ratios that should be estimated simultaneously. Using bank-specific data, the optimal hedge ratios are estimated in both the pre-deregulation and deregulation subperiods. Our results show that previous studies of bank hedging with interest rate futures have greatly overstated (a) the volume of short futures positions that banks should take and (b) the degree of homogeneity of optimal hedge ratios across the banking system. Similarly, deregulation has not uniformly affected the interest rate risk borne by different institutions.     

A Comparison of Forward and Futures Prices of an Interest Rate-Sensitive Financial Asset

This paper focuses on contractual distinctions as an explanation for the price divergence between futures and forward contracts. Specifically, it investigates the effect of marking-to-market on the observed price differences using the pricing model described in Cox, Ingersoll, and Ross (CIR) (1981, Journal of Financial Economics 9, 321–346). Using previously unavailable data, this paper employs Eurodollars, an interest rate-sensitive financial asset, to test the CIR model. Unlike prior empirical studies, test results support both the weak prediction concerning the sign of the average price difference and the stronger prediction that specific covariances explain the variation in the price differences.     

Commodity futures hedging,risk aversion and the hedging horizon

This paper examines the impact of management preferences on optimal futures hedging strategy and associated performance. Applying an expected utility hedging objective, the optimal futures hedge ratio is determined for a range of preferences on risk aversion, hedging horizon and expected returns. Empirical results reveal substantial hedge ratio variation across distinct management preferences and are supportive of the hedging policies of real firms. Hedging performance is further shown to be strongly dependent on underlying preferences. In particular, hedgers with high risk aversion and short horizon reduce hedge portfolio risk but achieve inferior utility in comparison to those with low aversion.     

Bank Funding Risks,Risk Aversion,and the Choice of Futures Hedging Instrument

Currently, theories of financial futures hedging are based on either a portfolio-choice approach or a duration approach. This article presents an alternative: a firm-theoretic model of bank behavior with financial futures. Assuming the bank is uncertain about cash CD interest rates and the quantity of CDs it needs in the future, expressions for the optimal futures hedge are derived under constant absolute risk aversion and constant relative risk aversion. The performance of these two strategies is estimated from 1981–1983 using either the recently developed CD futures contract or the T-Bill futures contract. These results are also compared with the performance of a portfolio-choice strategy and a routine hedging strategy. The analysis indicates that the CD futures market can serve a hedging purpose that is not served by the previously established T-Bill futures market.     

Correlation and spillover effects between the US and international banking sectors: New evidence and implications for risk management

This paper quantitatively examines return transmission and volatility spillovers between banking sector stocks in the US and eight other countries by applying our newly extended VAR-DCC-MEGARCH-M model with asymmetric spillovers and Student-t or skew-t errors. Our investigations clarify almost unidirectional stock return transmission from the US banking sector to all other eight international banking sectors. In addition, we also uncover bidirectional volatility spillovers between the US and other eight international banking sector stocks, which are all tied to the leverage effect. Moreover, using the dynamic conditional variances and covariances from our extended model, we derive the time-varying optimal hedge ratios and optimal portfolio weights. These analyses reveal that, except for such extraordinary periods as during financial crises, we can hedge the US banking sector stocks with other international banking sector stocks, and that well-balanced portfolios of the US and other banking sector stocks are optimal. Furthermore, additional analysis using gold, silver, and platinum futures reveals that we can hedge international banking sector stocks with precious metal futures highly effectively, and that well-balanced portfolios of banking stocks and precious metals are optimal. Based on the results from our analyses, this paper derives many significant interpretations and implications for financial and systemic risk management.     

Risk Management with Derivatives by Dealers and Market Quality in Government Bond Markets

This paper investigates how bond dealers manage core business risk with interest rate futures and the extent to which market quality is affected by their selective risk taking. We observe that dealers use futures to take directional bets and hedge changes in their spot exposure. We find that, cross‐sectionally, a dealer with longer (shorter) risk exposure sells (buys) a larger amount of exposure the next day. However, this risk control takes place via the futures market and not the spot market. Finally, we find strong support for the price effects of capital constraints emphasized by Froot and Stein (1998).     

Using the short-lived arbitrage model to compute minimum variance hedge ratios: application to indices,stocks and commodities

The short-lived arbitrage model has been shown to significantly improve in-sample option pricing fit relative to the Black–Scholes model. Motivated by this model, we imply both volatility and virtual interest rates to adjust minimum variance hedge ratios. Using several error metrics, we find that the hedging model significantly outperforms the traditional delta hedge and a current benchmark hedge based on the practitioner Black–Scholes model. Our applications include hedges of index options, individual stock options and commodity futures options. Hedges on gold and silver are especially sensitive to virtual interest rates.     

Forward and Futures Prices: Evidence from the Foreign Exchange Markets

Cornell and Reinganum (1981) , hereafter CR, report that price differentials for future contracts and forward contracts are statistically insignificant in foreign exchange markets. Based on this finding, CR conclude that marking-to-market is insignificant in the formulation of currency futures prices. This note identifies two potential concerns with the CR tests. One problem relates to the timing of delivery dates for “matched” contracts. A second problem relates to the time period for the CR study. We show that correcting for these problems does not affect the overall conclusions of the CR study; marking-to-market does not appear to have a significant effect on currency futures prices.     

Hedging effectiveness of the Athens stock index futures contracts

This paper examines the hedging effectiveness of the FTSE/ATHEX-20 and FTSE/ATHEX Mid-40 stock index futures contracts in the relatively new and fairly unresearched futures market of Greece. Both in-sample and out-of-sample hedging performances using weekly and daily data are examined, considering both constant and time-varying hedge ratios. Results indicate that time-varying hedging strategies provide incremental risk-reduction benefits in-sample, but under-perform simple constant hedging strategies out-of-sample. Moreover, futures contracts serve effectively their risk management role and compare favourably with results in other international stock index futures markets. Estimation of investor utility functions and corresponding optimal utility maximising hedge ratios yields similar results, in terms of model selection. For the FTSE/ATHEX Mid-40 contracts we identify the existence of speculative components, which lead to utility-maximising hedge ratios, that are different to the minimum variance hedge ratio solutions.     

TREASURY BILL FUTURES AS A HEDGING TOOL: A RISK-RETURN APPROACH

The primary purpose of this study is to measure the hedging performance of Treasury Bill Futures on a risk-return basis. A theoretical model is presented and hedging effectiveness is tested using T-Bill cash and futures data. Successful hedging depends critically upon the ability to determine the optimal hedge ratio. The results also indicate that the traditional one-to-one hedge outperforms the more sophisticated hedge ratio models; however, even here the risk-return benefits of hedging are minimal.     

Benefits from Asia-Pacific Mutual Fund Investments with Currency Hedging

This study presents empirical evidence on the efficiency and effectiveness of hedging U.S.-based international mutual funds with an Asia-Pacific investment objective. The case for active currency risk management is examined for a passive and a selective hedge, which is constructed with currency futures in the major currencies. Both static and dynamic hedging models are used to estimate the risk-minimizing hedge ratio. The results show that currency hedging improves the performance of internationally diversified mutual funds. Such hedging is beneficial even when based on prior optimal hedge ratios. Further, efficiency gains from hedging, as measured by the percent change in the Sharpe Index, are greatest under a selective portfolio strategy that is implemented with an optimal constant hedge ratio.     

恒生指数和沪深300股指期货套期保值效果对比研究

本文利用OLS、ECM、ECM-GARCH模型对沪深300股指期货和恒生指数期货的最优套期保值率进行了估算,并在风险最小化框架下对它们的套期保值效果进行了对比研究。结果发现:无论是哪种股指期货,不考虑期现货间存在的协整关系会使估算的最优套期保值率偏高,影响套期保值效果;其次是虽然在样本内外,沪深300股指期货的套期保值效果比恒生指数期货的好,但是沪深300股指期货套期保值效果的稳定性比恒生指数差。此时,ECM-GARCH和OLS模型分别为样本内外投资者利用沪深300指数期货进行套期保值时的最佳选择;对于恒生指数股指期货,最优模型是ECM。     

SELECTIVE HEDGING OF BANK ASSETS WITH TREASURY BILL FUTURES CONTRACTS

The recent volatility of interest rates, the associated profit pressures imposed on banks, and the surge in the development of new contracts have stimulated a desire to understand and apply financial futures hedging to banking operations. This paper models interest rate futures contracts in a theory of bank behavior to illustrate the hedging of bank loans as well as government securities. The model predicts the hedge will be greater (1) the greater the expected rise in interest rates and (2) the greater the effect of disintermediation on bank deposits. A simulation of the financial futures trading strategy is reported for banks of various asset sizes using data from the Eleventh Federal Reserve District. Depending on bank risk aversion and interest rate expectations, hedging the bank's total interest rate exposure with T-bill futures reduces the variability of unhedged profits by 80 percent.     

期货最优套期保值比率研究评述

套期保值、价格发现、资产配置是期货市场的三大基本职能。而在这三种职能中，最为重要的是套期保值，它是期货市场得以生存和发展的关键动因。在国内外套期保值研究中，最优套期保值比率的估计是套期保值研究最为核心的问题。而运用期货套期保值理论进行实践更是随着套期保值比率估计模型的不断优化、完善而向前发展的，本文通过对国内外套期保值研究相关文献进行分类，整理，综述，梳理出最优套期保值比率估计的研究思路和相关实证技术路线，概括出国内外最优套保比率的研究框架，以此来向国内相关研究学者指出未来的进一步研究方向，同时对国内期货交易主体进行套期保值操作提供了估计模型的选择建议。     

Multivariate GARCH hedge ratios and hedging effectiveness in Australian futures markets

We use the All Ordinaries Index and the corresponding Share Price Index futures contract written against the All Ordinaries Index to estimate optimal hedge ratios, adopting several specifications: an ordinary least squares‐based model, a vector autoregression, a vector error‐correction model and a diagonal‐vec multivariate generalized autoregressive conditional heteroscedasticity model. Hedging effectiveness is measured using a risk‐return comparison and a utility maximization method. We find that time‐varying generalized autoregressive conditional heteroscedasticity hedge ratios perform better than constant hedge ratios in terms of minimizing risks, but when return effects are also considered, the utility‐based measure prefers the ordinary least squares method in the in‐sample hedge, whilst both approaches favour the conditional time‐varying multivariate generalized autoregressive conditional heteroscedasticity hedge ratio estimates in out‐of‐sample analyses.     

Comparing Trading Performance of the Constant and Dynamic Hedge Models: A Note

The constant and dynamic hedge models, with the presence of transaction costs are compared for the Share Price Index futures contract trading on the Sydney Futures Exchange. The optimal hedge ratio is estimated by using a dynamic, bivariate two-stage model for the return equation with a dynamic GARCH error structure for the conditional hedge ratios. When portfolio projections are compared based on their profit positions (net of transaction costs), the GARCH hedge model dominates the next best competitor in terms of trading profit.     

Determination of Optimal Hedging Strategy for Index Futures: Evidence from Turkey

This paper aims to determine optimal hedge strategy for the Istanbul Stock Exchange (ISE)-30 stock index futures in Turkey by comparing hedging performance of constant and time-varying hedge ratios under mean-variance utility criteria. We employ standard regression and bivariate GARCH frameworks to estimate constant and time-varying hedge ratios respectively. The Turkish case is particularly challenging since Turkey has one of the most volatile stock markets among emerging economies and the turnover ratio as a measure of liquidity is very high for the market. These facts can be considered to highlight the great risk and, therefore, the extra need for hedging in the Istanbul Stock Exchange (ISE). The empirical results from the study reveal that the dynamic hedge strategy outperforms the static and the traditional strategies.     

The Traditional Hedging Model Revisited with a Nonobservable Convenience Yield

This article examines the hedging of constrained commodity positions with futures contracts. We extend the study of Adler and Detemple (1988a, 1988b) to include a partial information framework where the convenience yield is not observable. As a consequence, futures prices depend on investor's beliefs regarding the value of the convenience yield, and every component of the hedge is impacted by these beliefs. We achieve a decomposition of the demand that clarifies the impact on the optimal hedge of the beliefs, the spot price and the risk‐free rate as well as the hedging horizon.