Pricing Eurodollar futures options with the Ho and Lee and Black,Derman, and Toy models: An empirical comparison

This article compares empirically the Ho and Lee (1986) and Black, Derman, and Toy (1990) discrete-time debt option pricing models in the pricing of Eurodollar futures options over the period from March 1997 through February 1998 using daily data. The results indicate that both models performed well. The average absolute pricing errors over the sample period were less than one tick (0.01) in every case. The Black, Derman, and Toy model slightly outperformed the Ho and Lee model in the pricing of in-the-money call options and out-of-the-money put options over the period studied. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 291–306, 1999     

Volatility components: The term structure dynamics of VIX futures

In this study we empirically study the variance term structure using volatility index (VIX) futures market. We first derive a new pricing framework for VIX futures, which is convenient to study variance term structure dynamics. We construct five models and use Kalman filter and maximum likelihood method for model estimations and comparisons. We provide evidence that a third factor is statistically significant for variance term structure dynamics. We find that our parameter estimates are robust and helpful to shed light on economic significance of variance factor model. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:230–256, 2010     

Comparing alternative assumptions on the term structure of futures prices: Reply

Donald Lien and Yan Wang (this issue) suggest an alternative test for different specifications of the term structure of futures prices, as used in our recently published paper in The Journal of Futures Markets. Our paper (Y. V. Veld‐Merkoulova and F. A. de Roon, 2003) focuses on developing optimal hedging strategies in case sufficiently long‐term futures contracts are not available (or not actively traded) on the exchange. One of the preliminary steps underlying this strategy was to compare linear and log‐linear term structures of futures prices in order to choose an appropriate specification. Although this is not the main issue of our paper, it is certainly important to use the correct econometric procedure in testing alternative model specifications. The results found by Lien and Wang do not contradict our conclusion that a linear term structure of futures yields is superior to a linear term structure of futures prices. However, as we point out here, the tests suggested by Lien and Wang are not without flaws. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:1101–1104, 2004     

Pricing dynamics of index options and index futures in Hong Kong before and during the Asian financial crisis

This article studies the impact of the Asian financial crisis on index options and index futures markets in Hong Kong. We employed a time‐stamped transaction data set of the Hang Seng Index options and futures contracts that were traded on the Hong Kong Futures Exchange. The results show that during the crisis period, the arbitrage profits, and the standard deviations of these profits increased in both ex‐post and ex‐ante analyses. In a market turbulent time, market volatility brings a higher arbitrage profit level. However, despite the increased market volatility, the profitability of the arbitrage trades declined substantially with longer execution time lags in the ex‐ante analysis. This suggests that the HSI futures and options markets are mature and resilient. A multiple regression analysis on the ex‐post arbitrage profit also suggests that there were structural changes during the Asian financial crisis and the Hong Kong government intervention periods. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 145–166, 2000     

Derivatives pricing when supply and demand matter: Evidence from the term structure of VIX futures

We decompose the VIX futures term structure into systematic components driving the VIX and idiosyncratic components reflecting demand by various types of futures end-users. We model two distinct channels by which trading activity manifests itself into futures prices: a contemporaneous “level effect” across the term structure due to the aggregate size of nondealer net demand and a mean-reverting “roll effect” due to large trades in specific contracts. The observed futures term structure was, on average, higher and steeper than it would have been in the absence of the observed nondealer demand, but the impact varies in sign and magnitude over time.     

When trading options is not the only option: The effects of single-stock futures trading on options market quality

We use the 2008 short-selling ban to examine the impact of single-stock futures (SSFs) trading on options market quality. We show that there is a substitution effect between options trading and SSFs trading during the ban period. In addition, our results show that SSFs trading had a significant effect in narrowing the bid-ask spreads of options contracts. Moreover, compared to stocks without SSFs, stocks with SSFs were less likely to violate put-call parity during the ban period. Our results suggest that SSFs trading helps mitigate the negative effect of the short-selling ban on options market quality documented in the literature.     

Pricing and hedging S&P 500 index options with Hermite polynomial approximation: empirical tests of Madan and Milne's model

The universal use of the Black and Scholes option pricing model to value a wide range of option contracts partly accounts for the almost systematic use of Gaussian distributions in finance. Empirical studies, however, suggest that there is an information content beyond the second moment of the distribution that must be taken into consideration.This article applies a Hermite polynomial-based model developed by Madan and Milne (1994) to an investigation of S&P 500 index option prices from the CBOE when the distribution of the underlying index is unknown. The model enables us to incorporate the non-normal skewness and kurtosis effects empirically observed in option-implied distributions of index returns. Out-of-sample tests confirm that the model outperforms Black and Scholes in terms of pricing and hedging. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 735–758, 1999     

混凝土结构工程加固施工及方案的选择

本文根据作者的施工经验,介绍了目前混凝土结构工程加固施工中所遇到的加固施工方案及施工方法,并对不同方案进行优化比较.     

Scheduled announcements and volatility patterns: The effects of monetary policy committee announcements on LIBOR and short sterling futures and options

Both the UK spot and futures markets in short‐term interest rates are found to react strongly to surprises in the scheduled announcements of the repo rate and RPI. Therefore, these announcements should also affect the market for options on short‐term interest rate futures. Because the repo rate and RPI announcements are scheduled, the options market can predict the days on which announcement shocks may hit, and build this information into its volatility expectations. It is argued that the volatility used in pricing options should alter over time in a predictable nonlinear manner that varies with contract maturity and the number of forthcoming announcements; but is independent of announcement content. The empirical results support this hypothesis. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:773–797, 2003     

The predictability of carbon futures volatility: New evidence from the spillovers of fossil energy futures returns

In this paper, we find new evidence for the carbon futures volatility prediction by using the spillovers of fossil energy futures returns as a powerful predictor. The in-sample results show that the spillovers have a significantly positive effect on carbon futures volatility. From the out-of-sample analysis with various loss functions, we find that fossil energy return spillovers significantly outperform the benchmark and show better forecasting performance than the competing models using dimension reduction, variable selection, and combination approaches. The predictive ability of the spillovers also holds in long-term forecasting and does not derive from other carbon-related variables. It can bring substantial economic gains in the portfolio exercise within carbon futures. Finally, we provide economic explanations on the predictive ability of the fossil energy return spillover by the channels of the carbon emission uncertainty and the investor sentiment on the warming climate.