Forward contracts and futures contracts

This paper provides a detailed discussion of the similarities and differences between forward contracts and futures contracts. Under frictionless markets and continuous trading, simple arbitrage arguments are invoked to value forward contracts, to relate forward prices and spot prices, and to relate forward prices and futures prices. We also argue that forward prices need not equal futures prices unless default free interest rates are deterministic.     

The effectiveness of interest-rate futures contracts for hedging Japanese bonds of different credit quality and duration

This study investigates the effectiveness of the Tokyo Stock Exchange (TSE)-traded Japanese 10-year JGB futures contract to hedge portfolios of Japanese bonds of differing maturity and credit quality. The bond portfolios examined are Government, AAA-, and AA-rated Eurobonds with maturities of 2, 3, 5, 7, 10, and 20 years. Consistent with the recent literature, the study employs univariate methods for calculating hedge ratios based on levels, first differences, and percentage change of each series. Out-of-sample forecasting is used to determine the effectiveness of the calculated hedge ratios for each of the bond portfolios and to determine which approach to calculating hedge ratios is the most effective. The results show that this particular futures contract does provide a good hedge, particularly for those bond terms closest to the 10-year term of the contract. There is some evidence, although not strong, that JGBs are better hedged than AAA and AA bonds. Investors should take some caution when using this futures contract to hedge bond portfolios of different maturities and credit ratings.     

Hedging long-term exposures with multiple short-term futures contracts

This article analyzes the problem facing an agent who has along-term commodity supply commitment and who wishes to hedgethat commitment using short-maturity commodity futures contracts.As time evolves, the agent has to roll the hedge as old futurescontracts mature and new futures contracts are listed. Thisgives rise to hedge errors. The optimal hedging strategy ischaracterized in a world where contracts of several differentmaturities coexist. The strategy is independent both of theagent's risk aversion and, under certain conditions, of beliefsabout expected returns from holding futures contracts. The methodologyis compared with approaches based on dynamic models of the termstructure. It is tested on data from the oil futures market.     

Term structure movements implicit in Asian option prices

In this paper we implement dynamic term structure models that adopt bonds and Asian options in the estimation process. The goal is to analyse the pricing and hedging implications of term structure movements when options are (or are not) included in the estimation process. We investigate how options affect the shape, risk premium and hedging structure of the dynamic factors. We find that the inclusion of options affects the loadings of the slope and curvature factors, and considerably changes the risk premium and hedging structure of all dynamic factors.     

Alternative settlement methods and Australian individual share futures contracts

Individual share futures contracts have been introduced in Australia since 1994. Initially, the contracts were settled in cash. In 1996, cash settlement was gradually replaced by physical delivery. This study investigates the effects of the settlement method change on Australian individual stock and its futures markets. Specifically, we examine whether return and volatility of each market, correlation between the two markets, basis behavior, and hedging performance of futures markets differ across cash settlement period and physical delivery period. We find that, after the switch from cash settlement to physical delivery, the futures market, the spot market, and the basis all become more volatile. However, each individual share futures contract becomes a more effective hedging instrument. The improvement in hedging effectiveness is particularly impressive for the most recently established individual share futures contracts.     

Loan sales, implicit contracts, and bank structure

We document some recent changes in the market for loan sales. We then test the main implications of several prevailing theories, using a Tobit model to relate loan sales and purchases to bank size, capital, risk, and funding mode. The results, though not definitive, broadly confirm the Pennacchi funding cost model of sales. Other data cast doubt on the importance of mergers and acquisitions for this market and on the comparability of different data sources.     

Detecting and modelling the jump risk of CO2 emission allowances and their impact on the valuation of option on futures contracts

Modelling CO₂ emission allowance prices is important for pricing CO₂ emission allowance linked assets in the emissions trading scheme (ETS). Some statistical properties of CO₂ emission allowance prices have been discovered in the literature ignoring price jumps. By employing real data from the ETS, this research first detects the jump risk using a jump test and then verifies jump effects in modelling CO₂ emission allowance prices by comparing the in-sample and out-of-sample model performance. We suggest a model which can capture the statistical properties of autocorrelation, volatility clustering and jump effects is more appropriate for modelling CO₂ emission allowance prices. We establish a general framework for pricing CO₂ emission allowance options on futures contracts with these properties and find that the jump risk significantly affects the value of the CO₂ emission allowance option on futures contracts. More importantly, we demonstrate that the dynamic jump ARMA–GARCH model can provide more accurate valuations of the CO₂ emission allowance options on futures than other models in terms of pricing error.     

A generalized approach to optimal hedging with option contracts

In this paper, we develop a theoretical model in which a firm hedges a spot position using options in the presence of both quantity (production) and basis risks. Our optimal hedge ratio is fairly general, in that the dependence structure is modeled through a copula function representing the quantiles of the hedged position, and hence any quantile risk measure can be employed. We study the sensitivity of the exercise price which minimizes the risk of the hedged portfolio to the relevant parameters, and we find that the subjective risk aversion of the firm does not play any role. The only trade-off is between the effectiveness and cost of the hedging strategy.     

The innovations of e-mini contracts and futures price volatility components: The empirical investigation of S&P 500 stock index futures

The effect of the initiation of e-mini stock index futures (ESIFs) on the volatility components of S&P 500 stock index futures is herein investigated. The study decomposes S&P 500 stock index-related observed volatilities into unobserved fundamental volatility and transitory noise and utilizes the decomposition to test two hypotheses: the “clientele factor hypothesis” and the “information adjustment hypothesis”. The first hypothesis proposes that the ESIFs attract more noisy traders who prefer trading the friendly-size futures contracts. The second one proposes that the innovations of ESIFs improve the information flow of the futures markets. Using a stochastic volatility model, the empirical results are consistent with both of our proposed hypotheses.     

Volatility and trading activity following changes in the size of futures contracts

This paper has two purposes. First, we examine the relationship between daily price volatility and trading activity one year before and after a change in contract size by examining the results of contract splits in the Australian share price index futures and the U.K. FTSE-100 futures contracts and a reverse contract split in the Australian Bank Bill Acceptance futures contract. Second, we evaluate the effect of the change in contract size on the use of the particular futures market. We find that after a contract size change, the change in total trading frequency has the power to explain the change in daily price volatility. Specifically, after a contract split, trading frequency increased, resulting in increased daily price volatility, and vice versa after a reverse contract split. Most of the average trade size variable has an immaterial impact on price volatility. However, decomposing the total trading frequency into four trade size classes, we find that the trading frequency for small and large trade size categories are highly significant in explaining changes in daily price volatility after the contract splits. Finally, we find the change in contract size for each futures market was successful because within three years following the change, the adjusted trading volume and open interest surpassed the levels prior to the change and have continued to increase thereafter.     

Using futures contracts for corporate hedging: The problem of expiry and a possible solution

Companies using futures contracts for hedging purposes need to roll over their contracts if the maturity of their exposure exceeds that of the futures contracts. This entails basis risk that can reduce significantly the effectiveness of the hedge. In this paper an alternative form of futures contract is proposed. the contract never expires and can be used for long-term hedging without the need for rolling-over into a new contract. the contract is shown to be equivalent to a portfolio of conventional futures contracts of differing maturities. Its price is determined by arbitrage against the underlying asset.     

The equilibrium price of futures contracts: A result drawn from capital asset pricing model

A recent study shows that separation theorems in the stock and forward market literatures may not hold in an integrated financial market; therefore, the securities market may influence futures trading. This article investigates the securities market influence on the futures price. The result shows that although the futures price incorporates the investor's expectation about the future spot price, it generally is not a best estimate of the spot price. In addition, it is shown that the speculative activity can destabilize the cash market for some commodities, if initially, the underlying cash price is highly volatile.     

Volatilities implied by price changes in the S&P 500 options and futures contracts

We develop a new volatility measure: the volatility implied by price changes in option contracts and their underlying. We refer to this as price-change implied volatility. We compare moneyness and maturity effects of price-change and implied volatilities, and their performance in delta hedging. We find that delta hedges based on a price-change implied volatility surface outperform hedges based on the traditional implied volatility surface when applied to S&P 500 future options.     

Tests of alternate models for the pricing of Korean Treasury bond futures contracts

It is known that KTB futures contracts are significantly underpriced when the model price is calculated using the ad hoc cost-of-carry model employed in industry. This paper examines whether this underpricing phenomenon is caused by using the wrong model to price the futures contracts. This paper documents that the difference between the model price and the market price of KTB futures decreases substantially if the correct term–structure-based model is used to estimate the model price of KTB futures. In addition, even though the underpricing phenomenon can be exploited to generate some trading profits, the profits cannot be regarded as arbitrage profits. Thus, we believe that the underpricing phenomenon is illusory, and that much of it can be attributed to the wrong model being used in the industry.     

Expected returns, risk premia, and volatility surfaces implicit in option market prices

This article presents a pure exchange economy that extends Rubinstein (1976) to show how the jump-diffusion option pricing model of Merton (1976) is altered when jumps are correlated with diffusive risks. A non-zero correlation between jumps and diffusive risks is necessary in order to resolve the positively sloped implied volatility term structure inherent in traditional jump diffusion models. Our evidence is consistent with a negative covariance, producing a non-monotonic term structure. For the proposed market structure, we present a closed form asset pricing model that depends on the factors of the traditional jump-diffusion models, and on both the covariance of the diffusive pricing kernel with price jumps and the covariance of the jumps of the pricing kernel with the diffusive price. We present statistical evidence that these covariances are positive. For our model the expected stock return, jump and diffusive risk premiums are non-linear functions of time.     

Contemporaneous intraday volume, option, and futures volatility transmissions across parallel markets

The primary objective of this article is to investigate volatility transmission across three parallel markets operating on the Sydney Futures Exchange (SFE), both within and out of sample. Half-hourly observations are sampled from transaction data for the share price index (SPI) futures, SPI futures options, and 90-day bank accepted bill (BAB) futures markets, and the analysis is carried out using the simultaneous volatility (SVL) system of equations as well as competing volatility models. The results confirm the poor ability of GARCH models to fit intraday data. This study also applies an artificial nesting procedure to evaluate the out-of-sample volatility forecasts. Implied volatility has very limited (if any) predictive power when evaluated in isolation, whereas the SVL model with implied volatility embedded provides incremental information relative to competing model forecasts.     

Spill over effects of futures contracts initiation on the cash market: a regime shift approach

This paper investigates possible spillover effects on the spot market due to the initiation of derivatives markets. Although speculation, which is apparent because of the low transaction cost of derivatives markets, produces noise in the financial system, the speculative forces and the rational hedging strategies jointly contribute to the price discovery process. Furthermore, the demand and supply forces are responsible for the financial system equilibrium and high volatility regimes imply high rates for the accumulation of new information. According to many analysts, there still exists a puzzle regarding the stabilization or destabilization effect of Futures contracts’ onset, which is both country and model specific. For that reason, this paper examines empirically the case of three European countries by the application not only of conventional structural break analysis, but also of regime shift analysis in order to account for the timing of possible spillover effects, and hence, to overcome the conflicting results of the extant literature. Furthermore, the proposed econometric methodology considers some stylized financial facts such as the leverage effect, the time varying risk premium, the decomposition of the day of the week effect, the leptokurtosis and the skewness of the returns’ distributions. For the purposes of our analysis we use data from the UK, Spain and Greek capital markets and according to the empirical findings, there exists a significant stabilization effect, which is negatively associated with the level of efficiency and completeness of the capital markets examined. However, in some cases there exists a short run destabilization effect for 1 or 2 months.     

The impact of corporate governance,regulatory differences and futures contracts on movements among portfolios of cross-listed equities: The case of Germany

We test the impact of corporate governance effects on the stock price volatility of the DAX100 and find that these variables increase the volatility and decrease the error terms statistically significant. In addition, controlling for contemporaneous and next period's movements, we find that shocks can have a significant impact on the magnitude of stock return co-movements. In particular, our results show that the impact of the German mark/Euro and German bond price index futures shocks have a significant effect on spillovers, on contemporaneous and next period's co-movements related to firms or equities that cross-list on markets with different creditor bankruptcy protection rules. On the other hand, the impact of the German mark/Euro and the German stock price index shocks related to different shareholder protection rules have a smaller impact on both the next period's co-movements and contemporaneous co-movements among or between markets.