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.     

Pricing American options with stochastic volatility: Evidence from S&P 500 futures options

This article is the first attempt to test empirically a numerical solution to price American options under stochastic volatility. The model allows for a mean‐reverting stochastic‐volatility process with non‐zero risk premium for the volatility risk and correlation with the underlying process. A general solution of risk‐neutral probabilities and price movements is derived, which avoids the common negative‐probability problem in numerical‐option pricing with stochastic volatility. The empirical test shows clear evidence supporting the occurrence of stochastic volatility. The stochastic‐volatility model outperforms the constant‐volatility model by producing smaller bias and better goodness of fit in both the in‐sample and out‐of‐sample test. It not only eliminates systematic moneyness bias produced by the constant‐volatility model, but also has better prediction power. In addition, both models perform well in the dynamic intraday hedging test. However, the constant‐volatility model seems to have a slightly better hedging effectiveness. The profitability test shows that the stochastic volatility is able to capture statistically significant profits while the constant volatility model produces losses. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:625–659, 2000     

Option prices and risk‐neutral densities for currency cross rates

The theoretical relationship between the risk‐neutral density (RND) of the euro/ pound cross rate and the bivariate RND of the dollar/euro and the dollar/pound rates is derived; the required bivariate RND is defined by the dollar‐rate marginal RNDs and a copula function. The cross‐rate RND can be used by banks, international businesses, and central bankers to assess market expectations, to measure risks, and to value options, without relying on over‐the‐counter markets, which may be either non‐existent or illiquid. Empirical comparisons are made between cross‐rate RNDs estimated from several data sets. Five one‐parameter copula functions are evaluated and it is found that the Gaussian copula is the only one‐parameter copula function that is ranked highly in all of the comparisons we have made. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:324–360, 2010     

Rent‐to‐Own Pricing: Theory and Empirical Evidence

The rent‐to‐own (RTO) industry given its emphasis on subprime or, at least, financially constrained consumers is often seen as exploitative with excessive financing costs. This paper develops a rational‐expectations competitive equilibrium model to explore the pricing mechanism of an RTO agreement. The model accounts for the contract's embedded options and several bundled services. Using detailed transactional data, we infer how customers exercise these options to calibrate our model for several product categories, contractual lengths and payment periodicity. The resulting predictions provide a justification for the high financing costs observed in the marketplace.     

VIX futures and its closed‐form pricing through an affine GARCH model with realized variance

This paper studies the forecasting of volatility index (VIX) and the pricing of its futures by a generalized affine realized volatility model proposed by Christoffersen et al. This model is a weighted average of a GARCH and a pure realized variance (RV) model that incorporates each volatility component into the new dynamics. We rewrite the VIX in terms of both volatility components and then derive closed‐form formulas for the VIX forecasting and its futures pricing. Our empirical studies find that a unification of the GARCH and the RV in the modeling substantially improves the forecasting of this index and the pricing of its futures.     

Pricing options using implied trees: Evidence from FTSE‐100 options

Previously, few, if any, comparative tests of performance of Jackwerth's ( 1997 ) generalized binomial tree (GBT) and Derman and Kani ( 1994 ) implied volatility tree (IVT) models were done. In this paper, we propose five different weight functions in GBT and test them empirically compared to both the Black‐Scholes model and IVT. We use the daily settlement prices of FTSE‐100 index options from January to November 1999. With both American and European options traded on the FTSE‐100 index, we construct both GBT and IVT from European options and examine their performance in both the hedging of European option and the pricing of its American counterpart. IVT is found to produce least hedging errors and best results for American call options with earlier maturity than the maturity span of the implied trees. GBT appears to produce better results for American ATM put pricing for any maturity, and better in‐sample fit for options with maturity equal to the maturity span of the implied trees. Deltas calculated from IVT are consistently lower (higher) than Black‐Scholes deltas for both European and American calls (puts) in absolute term. The reverse holds true for GBT deltas. These empirical findings about the relative performance of GBT, IVT, and Standard Black‐Scholes models are important to practitioners as they indicate that different methods should be used for different applications, and some cautions should be exercised. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:601–626, 2002     

Nonlinear dynamics and competing behavioral interpretations: Evidence from intra‐day FTSE‐100 index and futures data

Extant empirical research has reported nonlinear behavior within arbitrage relationships. In this article, the authors consider potential nonlinear dynamics within FTSE‐100 index and index‐futures. Such nonlinearity can be rationalized by the existence of transactions costs or through the interaction between informed and noise traders. They consider several empirical models designed to capture these alternative dynamics. Their empirical results provide evidence of a stationary basis term, and thus cointegration between index and index‐futures, and the presence of nonlinear dynamics within that relationship. The results further suggest that noise traders typically engage in momentum trading and are more prone to this behavior type when the underlying market is rising. Fundamental, or arbitrage, traders are characterized by heterogeneity, such that there is slow movement between regimes of behavior. In particular, fundamental traders act more quickly in response to small deviations from equilibrium, but are reluctant to act quickly in response to larger mispricings that are exposed to greater noise trader price risk. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:343–368, 2006     

A note on the relationships between some risk‐adjusted performance measures

Assuming portfolio returns are normally distributed, it is shown that both Sortino ratio (SR) and upside potential ratio (UPR) are monotonically increasing functions of the Sharpe ratio. As a result, all three risk‐adjusted performance measures provide identical ranking among investment alternatives. The effects of skewness and kurtosis are then evaluated within the Edgeworth‐Sargan density family. For the Sortino ratio, the above conclusion remains valid in the presence of negative skewness or excessive kurtosis. Similar results apply to the UPR with modifications. For all other cases, both SR and UPR provide exactly opposite ranking among investment alternatives to that suggested by the Sharpe ratio when the Sharpe ratio is large. Applications to futures hedging are discussed. Specifically, it is found that the Sharpe ratio may frequently lead to a smaller futures position than the other two ratios. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:483–495, 2002     

Examining the Return–Volatility Relation for Foreign Exchange: Evidence from the Euro VIX

We compare the return–volatility relation for the euro currency to the equivalent relation for the equity market, examining the sign, symmetry, and strength of the relation. We employ the euro‐currency exchange‐traded fund (FXE) and its associated option implied volatility index (the EVZ), whereas previous studies only employ equities and/or realized volatility. The equity studies find a negative asymmetric return–volatility relation for implied volatility, with a strong relation when large market movements occur. We find that the euro return–volatility relation can possess either a positive or negative sign, is asymmetric, and has a weaker relation. Thus, the sign and strength of the euro relation differs from the equivalent equity relation. Our quantile regressions show that both the positive and negative contemporaneous returns of the euro result in increased volatility in the extreme quantiles of the conditional distribution, with the contemporaneous effect showing a stronger relation when the euro depreciates. We also find that the volume of the euro‐currency ETF options affects the return–volatility relation for the euro ETF. Overall, the results here expand the concept originally restricted to equities, with the surprising results that the return‐implied volatility relation is weaker and the asymmetric return sometimes is positive for the euro currency. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark 34:74–92, 2014     

Information revelation in the futures market: Evidence from single stock futures

This paper analyzes 31 months of data on 137 single‐stock futures (SSFs) traded on OneChicago. The results indicate that on the days they trade, SSFs contribute approximately 24% of the price discovery for underlying stocks. Information revelation in the SSFs market decreases with the ratio of spreads in the futures and the stock markets and the volatility in the stock market. Moreover, the quality of the market for the underlying stocks improves substantially after the introduction of the SSFs market, with the largest improvement occurring on days with SSFs trading. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:335– 353, 2008     

Clustering in the futures market: Evidence from S&P 500 futures contracts

We document trade price clustering in the futures markets. We find clustering at prices of x.00 and x.50 for S&P 500 futures contracts. While trade price clustering is evident throughout time to maturity of these contracts, there is a dramatic change when the S&P 500 futures contract is designated a front‐month contract (decrease in clustering) and a back‐month contract (increase in clustering). We find that trade price clustering is a positive function of volatility and a negative function of volume or open interest. In addition, we find a high degree of clustering in the daily opening and closing prices, but a lower degree of clustering in the settlement prices. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:413–428, 2004     

Commonality in trading activity and futures‐cash basis: Evidence from the Taiwan futures and stock markets

This study examines commonality in trading activity by various types of institutional investors across futures and stock markets, and the dynamic relationship between the common factors in trading activity and the futures‐cash basis. The empirical results provide evidence of commonality in trading activity by various types of institutional investors across futures and stock markets. Additionally, this study finds that the first principal component of trading activity is most closely related to the futures trading of mutual funds. Moreover, the empirical results indicate that the first principal component of trading activity and mutual funds' futures trading Granger‐cause the futures‐cash basis and vice versa. Finally, the results of the impulse response functions show that the first principal component of trading activity as well as mutual funds' futures trading have a greater impact on the futures‐cash basis than other common factors and other investor types. © 2011 Wiley Periodicals, Inc. Jrl Fut Mark 32:964–994, 2012     

The stock closing calland futures price behavior: Evidence from the Taiwan futures market

This study examines the behavior of futures prices around stock market close before and after changes to the batching period of the stock closing call. On July 1, 2002, the Taiwan Stock Exchange expanded the length of the batching period roughly 10‐fold, from an average of 30 seconds to 5 minutes. This change presents an opportunity to analyze how a stock closing method affects the behavior of index futures prices. Empirical results indicate that an increase in the length of the batching period affects the return volatility and trading volume of index futures contracts around stock market close. Furthermore, preclose stock returns have a great impact on extended futures returns when the batching period of the stock closing call is long. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:1003–1019, 2007     

The impact of execution delay on the profitability of put‐call‐futures trading strategies—Evidence from Taiwan

This study examines the impact of execution delay on the profitability of put‐call‐futures quasi‐arbitrage strategies using trade and quote data in the Taiwanese market. Assuming order execution at the next immediate price following a mispricing signal, the execution of individual components is traced and a substantial delay resulting from the late execution of an option is reported. A fill‐or‐kill strategy that directly restricts such a delay is unsatisfactory because unwinding already acquired positions involves added transaction costs. Ex ante performance is significantly improved for combined strategies that execute the less liquid asset first, while shortening the time before acquisition of the first position. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:361–385, 2007     

Market efficiency among futures with different maturities: Evidence from the crude oil futures market

Although many studies have investigated market efficiency of spot and futures prices, that among futures with different maturities has not been studied extensively. In this study, market efficiency and unbiasedness among such futures are defined and the concept of “consistently efficient (or consistently efficient and unbiased) market within n‐month maturity” is introduced. According to this definition, market efficiency and unbiasedness among WTI futures with different maturities are tested using cointegration analysis, and short‐term market efficiency, using an error correction model and GARCH‐M‐ECM. The results show that WTI futures are consistently efficient within 8‐month maturity and consistently efficient and unbiased within 2‐month maturity. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:487–501, 2011     

Islamic Religious Atmosphere and Audit Pricing: Evidence from Iran

This study examines whether the Islamic religious atmosphere of local communities influences audit pricing. We use a comprehensive survey conducted by Iran's Ministry of Culture and Islamic Guidance to measure the Islamic religious atmosphere. Using a sample of 1,204 observations from firms listed in Iran's capital market, we find that firms located in regions with a strong Islamic religious atmosphere pay significantly lower audit fees. Furthermore, the study reveals that family ownership (auditor size) strengthens (weakens) the aforementioned relationship. However, we did not find a significant moderating role for the local community's social capital. We contribute to the ethics literature by providing a better understanding of the economic consequences of the religious atmosphere and offering policy, practical, and educational implications.