American futures options arbitrage: evidence from the Nikkei 225 options market

Previous studies have examined the profitability of European index options arbitrage. This paper adds to the literature by investigating the arbitrage profitability of American index options—the Nikkei 225 index futures options traded on the Singapore Stock Exchange (SGX). Using the real-time bid–ask prices, we find evidence of profitable arbitrage opportunities, while the frequency of observations violating no-arbitrage bounds and the magnitude of arbitrage profits decrease with the level of transaction costs. Our results have implications for the analysis of American options market efficiency. Failure to use bid–ask prices may lead to biased conclusions.     

Measuring Pricing Inefficiencies Under Stressful Market Conditions

This study examines the mispricing and time between arbitrage trades of the Hong Kong Hang Seng index futures and index options contracts under various stressed market conditions. Ex‐ante trading profits and differences in time between trades across up and down as well as stressed and non‐stressed markets are used to measure how well the derivative markets perform under emotional distress. We find evidence of illiquidity in stressed and down markets. In stressful markets and down markets, liquidity suppliers are less likely to trade against the informed traders. This, in turn, leads to longer time between trades and higher arbitrage profits.     

Examining the Equilibrium Relationship Between the Shanghai 50 Stock Index Futures and the Shanghai 50 ETF Options Markets

Based on the put-call-futures parity model, this article studies the equilibrium relationship between the Shanghai 50 stock index futures and the Shanghai 50 Exchange-Traded Fund (ETF) options markets by analyzing the arbitrage opportunities and profits between these two derivative markets. This article reveals that the cost spread, option volatility, days from the expiration date, moneyness of options, trading strategy, and policy factors all have a great impact on the arbitrage profits and opportunities. In addition, significant arbitrage profits and opportunities indicate violations of put-call-futures parity. Although no equilibrium relationship exists between the Shanghai 50 stock index futures and the Shanghai 50 ETF options markets, efficiency in these markets has gradually improved.     

The International Transmission of Arbitrage Information Across Futures Markets

Abstract:   This paper examines whether deviations from a domestic spot‐futures relation, as identified through mispricing series in stock index futures, spillover international boundaries. Such spillovers suggest that information from a mispricing series in one market conveys a signal of similar mispricing in another market. In the presence of arbitrage traders and in the absence of market frictions, mispricing series should be independent across international boundaries. The study employs a VAR analysis of stock index futures mispricing across three large futures markets – Australia, the UK and the USA. Using time zone differences, tests are conducted for the daily transmission of arbitrage information. The results reveal the relationship between mispricing series is bi‐directional. Based on this finding, a trading strategy is employed to examine the economic significance of apparent profits. The results show that some profits are possible after transaction costs but that a long horizon, probably beyond the scope of most traders, is required to exploit the spillover information.     

Covered interest arbitrage profits: The role of liquidity and credit risk

We study the profitability of Covered Interest Parity (CIP) arbitrage violations and their relationship with market liquidity and credit risk using a novel and unique dataset of tick-by-tick firm quotes for all financial instruments involved in the arbitrage strategy. The empirical analysis shows that positive CIP arbitrage deviations include a compensation for liquidity and credit risk. Once these risk premia are taken into account, small arbitrage profits only accrue to traders who are able to negotiate low trading costs. The results are robust to stale pricing and the nonsynchronous trading occurring in the markets involved in the arbitrage strategy.     

Profit Possibilities in Currency Markets: Arbitrage, Hedging, and Speculation

This paper reviews and extends the existing literature on covered arbitrage, delineates the conditions for profitable arbitrage with the hedging instruments of forward and options contracts in the foreign exchange markets, and defines the maximum possible profits out of a given market environment. Next, the simple rules on speculation are articulated with and without transaction costs, and then we show how speculation can be covered with options and forwards. Finally, speculation is integrated with arbitrage and hedging, and further compounding of profit possibilities is illustrated.     

Pricing U.S. Dollar Index Futures Options: An Empirical Investigation

This paper develops a pricing model and empirically tests the pricing efficiency of options on the U.S. Dollar Index (USDX) futures contract. Empirical tests of the model indicate that the market consistently overprices these options relative to the derived model. This overpricing is more pronounced for out‐of‐the‐money options than for in‐the‐money options and more pronounced for put options than for call options. To validate the above results, delta neutral portfolios are created for one‐ and two‐day holding periods and consistently generate positive arbitrage profits, indicating that on average the market overprices the options on the USDX futures contracts.     

Characteristics of Risk and Return in Risk Arbitrage

This paper analyzes 4,750 mergers from 1963 to 1998 to characterize the risk and return in risk arbitrage. Results indicate that risk arbitrage returns are positively correlated with market returns in severely depreciating markets but uncorrelated with market returns in flat and appreciating markets. This suggests that returns to risk arbitrage are similar to those obtained from selling uncovered index put options. Using a contingent claims analysis that controls for the nonlinear relationship with market returns, and after controlling for transaction costs, we find that risk arbitrage generates excess returns of four percent per year.     

Options Arbitrage in Imperfect Markets

Option valuation models are based on an arbitrage strategy—hedging the option against the underlying asset and rebalancing continuously until expiration—that is only possible in a frictionless market. This paper simulates the impact of market imperfections and other problems with the “standard” arbitrage trade, including uncertain volatility, transactions costs, indivisibilities, and rebalancing only at discrete intervals. We find that, in an actual market such as that for stock index options, the standard arbitrage is exposed to such large risk and transactions costs that it can only establish very wide bounds on equilibrium options prices. This has important implications for price determination in options markets, as well as for testing of valuation models.     

Arbitrage with hedging by forward contracts: exploited and exploitable profits

The theoretical conditions for covered interest arbitrage and exploitable profit opportunities out of simple and triangular arbitrage in the absence and presence of market imperfection are enunciated. A distinction is made between pure arbitrage profits and arbitrage-induced total profits attainable under the risk-free environment. Operational feasibility of iterative arbitrage is also examined.     

An alternative approach to evaluating the agreement between financial markets

This research investigates that the price relationship between a stock index and its associated nearby futures markets can be explained by the cost-of-carry model using the concordance correlation (CC) coefficient in the US financial markets. The main purpose of this research is to confirm that the CC coefficient is an appropriate methodology to determine ex post arbitrage opportunities and to maximize ex ante arbitrage profits through the analysis of the price relationship derived from the cost-of-carry model. To increase the robustness of the results and to enable us to generalize our conclusions, this analysis is carried out in consideration of external uncertainty, including the marking-to-market procedure of futures contracts and the transaction cost on the stock index and its futures markets, under several assumptions related to the conditions of transactions. Examining transaction price data on the S&P 500 stock index and its futures markets shows that the CC coefficient gives a good result for ex ante arbitrage profits and is appropriate for analyzing the relationship between the observed stock index futures market price and its theoretical price derived from the cost-of-carry model.     

Put-call parity and the informational efficiency of the German DAX-index options market

Using transaction data for options on the German stock index (DAX), we examine the informational efficiency of this relatively new options market. Because DAX options are European style and the underlying index is a performance index, we avoid problems due to dividend estimation and the assessment of the early-exercise effect, which are encountered in existing studies. Ex-post and ex-ante tests are carried out to simulate trading strategies for exploiting put-call parity violations. We find that ex-post profits diminish dramatically when the implementation of the arbitrage strategies is delayed and/or after transaction costs are accounted for. In general, however, arbitrage restrictions, which rely on short selling of the component stocks of the index, tend to be violated more severely than those relying on long positions in these stocks. Given the short-selling restrictions in Germany, these apparent arbitrage opportunities cannot be easily exploited in practice. Furthermore, the results for different subsamples suggest that traders were subject to a learning process in pricing these relatively new instruments.     

Intra–day Behavior of Treasury Sector Index Option Implied Volatilities around Macroeconomic Announcements

If option implied volatility is an unbiased, efficient forecast of future return volatility in the underlying asset, then we should be able to predict its path around macroeconomic announcements from responses in cash markets. Regressions show that volatilities rise the afternoon before announcements that move cash markets, and that post–announcement volatilities return to normal as rapidly as cash prices do. Although implied volatilities are predictable, the Treasury options market is efficient since informed traders do not earn arbitrage profits once we account for trading costs.     

EARLY UNWINDING STRATEGY IN INDEX OPTIONS-FUTURES ARBITRAGE

We first re-examine buy-and-hold arbitrage strategies using both ex-post and ex-ante index options and futures data in Hong Kong. The results show that the arbitrage profit is not large enough to cover the transaction costs for both individual and institutional investors. Second, we find that, when an early unwinding strategy is employed, the arbitrage profit improves significantly under ex-post analysis but only improves slightly under ex-ante analysis. In addition, opportunities for same-day unwinding are limited. Finally, our regression results indicate the magnitude of the arbitrage profit is positively related to the volatility of the stock market.     

Pricing Efficiency in a Thin Market with Competitive Market Makers: Box Spread Strategies in the Hang Seng Index Options Market

Using a box spread arbitrage strategy, we examine the pricing efficiency of the emerging, thinly traded Hang Seng Index options market in Hong Kong, where market makers operate under a competitive open outcry system. In 20 months of tick‐by‐tick bid‐ask and transaction quotes we find very few arbitrage opportunities. Our examination of the reporting time of quotes shows that in effect, all the apparent mispricings are deceptive and could be explained by stale quotes. The absence of real arbitrage opportunities supports the pricing rationality hypothesis in the Hong Kong options market.     

The effects of newly listed derivatives in a thin stock market

This study examines the informational feedback effects associated to the listing and trading of derivatives in Switzerland. The observed changes in the price and higher moments of stock returns are representative of a thin stock market. The listing of stock options and index futures generated positive abnormal returns for large stocks and for the index while small stocks essentially benefited from the launching of index options. While reducing the variance of blue chips and of the index, their variance's stochasticity increased (decreased) at index options' (futures) listings. Finally, we detect significant stock and index derivatives' price leads which do not however generate arbitrage opportunities.     

Investor Sentiment and Option Prices

This paper examines whether investor sentiment about the stockmarket affects prices of the S&P 500 options. The findingsreveal that the index option volatility smile is steeper (flatter)and the risk-neutral skewness of monthly index return is more(less) negative when market sentiment becomes more bearish (bullish).These significant relations are robust and become stronger whenthere are more impediments to arbitrage in index options. Theycannot be explained by rational perfect-market-based optionpricing models. Changes in investor sentiment help explain timevariation in the slope of index option smile and risk-neutralskewness beyond factors suggested by the current models.     

Efficiency in index options markets and trading in stock baskets

Researchers have reported mispricing in index options markets. This study further examines the efficiency of the S&P 500 index options market by testing theoretical pricing relationships implied by no-arbitrage conditions. The effect of a traded stock basket, Standard and Poor’s Depository Receipts (SPDRs), on the link between index and options markets is also examined. We find that pricing efficiency within option markets improves but there is little evidence to support the hypothesis that a stock basket enhances arbitrage across markets. When transactions costs and short sales constraints are included, very few violations of inter-market pricing relationships such as put–call parity are reported. However, violations of within market pricing relationships such as the box spread remain frequent. Extensive analysis suggests that the results are robust.     

Arbitrageur Heterogeneity, Investor Horizon and Arbitrage Opportunities: An Empirical Investigation

Evidence is provided that arbitrage profits in integrated currency and credit markets differ according to the initial asset allocation, trading horizon and investment objectives of arbitrageurs. It is shown that several types of profitable one-way strategies can coexist and profits are differently distributed across maturity horizons. Moreover, there are episodes in the markets where particular strategies are consistently profitable. Strategies using the spot market and two credit transactions to create a synthetic forward contract are most likely to result in profitable arbitrage opportunities. This is directly attributable to the higher level of transactions costs in the forward markets.