Trader positions in VIX futures

We investigate the dynamic changes in trader positions of market participants in the VIX futures markets. We find that in a low-VIX period, below the 23.81 threshold determined by our model, changes in VIX futures affect the trading decisions of dealers and leveraged fund managers, but in an opposite direction. During a high-VIX period, dealers and leveraged fund managers would then alter their trading strategies. We highlight the important role of exchange-traded products trading in hedging demand of dealers and show the impact on VIX futures. Trader positions are determinants of VIX futures prices, basis, and VIX premium.     

Does increased hedging lead to decreased price efficiency? The case of VIX ETPs and VIX futures

We examine the impact of the introduction of VIX exchange‐traded products (ETPs) on the information content and pricing efficiency of VIX futures. We document that trades in VIX futures have become less informative and that pricing errors exhibit more persistence after the introduction of VIX ETPs. In addition, we observe that the price process of the VIX futures has become noisier over time. These findings suggest that the introduction of the VIX ETPs had a prominent effect on the properties and dynamics of the VIX futures.     

DID BLACK MONDAY HAVE A PERMANENT EFFECT?

Black Monday caused an immediate disruption between index futures and stock markets, but it is not clear whether it had any lasting effects. Here we examine links between the markets that are sensitive to the liquidity shortages during Black Monday. By employing a tick-by-tick transactions data set of S&P 500 index futures trades and S&P 500 equity index we calculate the spot/futures basis and basis risk, the spot/futures lead/lag relation, and the bid-ask spread. Evidence suggests that Black Monday had little continuing effect. On high-volatility days, however, index arbitrage becomes more costly as prices are more sensitive to future trades.     

How do risk attitudes of clearing firms matter for managing default exposure in futures markets?

This article proposes a theoretical framework that is built upon extreme value theory to study three instruments (i.e. margin, capital requirement and price limits) for managing default risk in futures markets. Specifically, the exceedances over a price threshold are modeled using a generalized Pareto distribution, and the models are static (one-period). We incorporate the risk attitudes of clearing firms into the framework to investigate the efficacy of these instruments under several risk measures, including value-at-risk measures, expected-shortfall measures and spectral risk measures. An empirical study on the VIX futures (or VX) data shows that the effectiveness of these market instruments rests not only on clearing firms' risk attitudes, but also on the tail fatness of the futures price distribution. Moreover, the shift in the risk attitudes of clearing firms may cause interactions among these instruments, which casts new light on the economic rationale of price limits.     

Understanding the term structure of credit default swap spreads

The shape of the term structure of credit default swap (CDS) spreads displays large variations over time and across firms. Consistent with the predictions of structural models of credit risk, we find that the slope of CDS spread term structure increases with firm leverage and volatility, but decreases with the level and the slope of the Treasury yield curve. However, these variables together have rather limited explanatory power for CDS slope and there is a significant common component in the regression residuals. In addition, we find that CDS slope predicts future changes in the CDS spreads, even after controlling for the contemporaneous variables that determine changes in the CDS spreads according to the structural models. Our results suggest that while structural models are qualitatively useful for understanding the shape of credit term structure, there are missing factors that importantly affect the term structure of CDS spreads.     

Does Anticipated Information Impose a Cost on Risk‐Averse Investors? A Test of the Hirshleifer Effect

This paper theoretically and empirically investigates how the risk of future adverse price changes created by the anticipated arrival of information influences risk‐averse investors’ trading decisions in institutionally imperfect capital markets. Specifically, I examine how the selling activity of individual investors immediately following an earnings announcement is influenced by the tradeoff between risk‐sharing benefits of immediate trade and explicit transaction costs imposed on such trades. Consistent with my theoretically derived predictions, I find that investors’ current trading decisions are less sensitive to the incremental transaction costs created by short‐term capital gains taxes on trading profits, as both the duration and intensity of the risk of future adverse price changes increase. This evidence is consistent with an incremental cost to investors that results from the revelation of precise information, which is commonly referred to as the Hirshleifer Effect.     

Local volatility of volatility for the VIX market

Following a trend of sustained and accelerated growth, the VIX futures and options market has become a closely followed, active and liquid market. The standard stochastic volatility models—which focus on the modeling of instantaneous variance—are unable to fit the entire term structure of VIX futures as well as the entire VIX options surface. In contrast, we propose to model directly the VIX index, in a mean-reverting local volatility-of-volatility model, which will provide a global fit to the VIX market. We then show how to construct the local volatility-of-volatility surface by adapting the ideas in Carr (Local variance gamma. Bloomberg Quant Research, New York, 2008) and Andreasen and Huge (Risk Mag 76–79, 2011) to a mean-reverting process.     

Valuation of VIX derivatives

We conduct an extensive empirical analysis of VIX derivative valuation models before, during, and after the 2008–2009 financial crisis. Since the restrictive mean-reversion and heteroskedasticity features of existing models yield large distortions during the crisis, we propose generalisations with a time-varying central tendency, jumps, and stochastic volatility, analyse their pricing performance, and implications for term structures of VIX futures and volatility “skews.” We find that a process for the log of the observed VIX combining central tendency and stochastic volatility reliably prices VIX derivatives. We also uncover a significant risk premium that shifts the long-run volatility level.     

Why derivatives on derivatives? The case of spread futures

Recently, calendar spread futures, futures contracts whose underlying asset is the difference of two futures contracts with different delivery dates, have been successfully introduced for a number of financial futures contracts traded on the Chicago Board of Trade. A spread futures contract is not an obvious financial innovation, as it is a derivative on a derivative security: a spread futures position can be replicated by taking positions in the two underlying futures contracts, both of which may already be quite liquid. This paper provides a motivation for this innovation, demonstrating how the introduction of spread futures can, by changing the relative trading patterns of hedgers and informed traders, affect equilibrium bid–ask spreads, improve hedger welfare, and potentially improve market-maker expected profits. These results are robust both to allowing serial correlation of asset price changes, and investor preference for skewness.     

Bounds for VIX futures given S&P 500 smiles

We derive sharp bounds for the prices of VIX futures using the full information of S&P 500 smiles. To that end, we formulate the model-free sub/superreplication of the VIX by trading in the S&P 500 and its vanilla options as well as the forward-starting log-contracts. A dual problem of minimizing/maximizing certain risk-neutral expectations is introduced and shown to yield the same value.The classical bounds for VIX futures given the smiles only use a calendar spread of log-contracts on the S&P 500. We analyze for which smiles the classical bounds are sharp and how they can be improved when they are not. In particular, we introduce a family of functionally generated portfolios which often improves the classical bounds while still being tractable; more precisely, they are determined by a single concave/convex function on the line. Numerical experiments on market data and SABR smiles show that the classical lower bound can be improved dramatically, whereas the upper bound is often close to optimal.     

Caught on tape: Institutional trading,stock returns,and earnings announcements

Many questions about institutional trading can only be answered if one tracks high-frequency changes in institutional ownership. In the United States, however, institutions are only required to report their ownership quarterly in 13-F filings. We infer daily institutional trading behavior from the “tape”, the Transactions and Quotes database of the New York Stock Exchange, using a sophisticated method that best predicts quarterly 13-F data from trades of different sizes. We find that daily institutional trades are highly persistent and respond positively to recent daily returns but negatively to longer-term past daily returns. Institutional trades, particularly sells, appear to generate short-term losses—possibly reflecting institutional demand for liquidity—but longer-term profits. One source of these profits is that institutions anticipate both earnings surprises and post-earnings announcement drift. These results are different from those obtained using a standard size cutoff rule for institutional trades.     

Insider Trading in the Hong Kong Stock Market

Many previous studies on insider trading are based ondata in the U.S. capital market and conclude thatinsiders can earn abnormal profits. This paperexamines abnormal price performance associated withinsider trading in the Hong Kong stock market. We findthat abnormal profits associated with insider tradingare all concentrated on small firms. Trading volumedoes matter in determining the magnitude of thoseabnormal profits. Our results show that insiders ofmedium-sized and large firms do not earn abnormalprofits. Finally, it is found that outsiders who mimicthe information of insider trades associated withmedium-sized and large firms cannot earn abnormalprofits.     

Currency futures-spot basis and risk premium

This paper explores the usefulness of currency futures-spot basis in predicting spot rate changes and currency futures returns. We conjecture that the currency risk premium may be an important component of the basis for long-maturity futures contracts, but may not be so for short-maturities. Thus, the basis of long-maturity contracts cannot predict the spot rate changes between now and maturity, rejecting uncovered interest rate parity (UIP), but can predict currency futures returns, which are solely determined by the risk premium. Conversely, the basis of the short-maturity contracts can predict the spot rate changes between now and maturity, validating the UIP, but cannot predict currency futures returns. Empirical tests support these conjectures for the Japanese, British, Swiss, and German currencies over the last two decades. The results are also consistent with Longstaff [Longstaff, F., 2000. The term structure of very short-term rates: new evidence for the Expectation Hypothesis. Journal of Financial Economics 58, 397–415], who shows that the Expectations Hypothesis holds at the very short end of the term structure of interest rates.     

Does vega-neutral options trading contain information?

This study suggests a novel approach for decomposing net options demands into the options order imbalances with and without volatility risk. By analyzing a high-frequency index futures and options dataset, we examine the information content of (i) the direction-motivated order imbalance induced by a single option type, which is exposed to volatility risk, and (ii) that constructed by both calls and puts, which is vega-neutral. The aggregate options order imbalance does not convey information after controlling for futures market trading. However, the intraday options order imbalance by trading without volatility risk significantly predicts spot index returns, though its longer-horizon forecasting ability is relatively weak because of a possible cross-market hedging effect. The predictive abilities of informed foreigners’ trades and out-of-the-money options trading are prominent. Our empirical results suggest that the vega-neutral options trading conveys additional information distinct from the futures order imbalance.     

Market uncertainty,expected volatility and the mispricing of S&P 500 index futures

An association between increased index futures mispricing and concurrent index volatility has been reported within several prior studies; in the present study, we argue that expected volatility over an arbitrage horizon also has an adverse effect on the ability and willingness of traders to engage in arbitrage, leading to greater and more persistent futures mispricing. Using the CBOE VIX and its innovation on the concurrent spot volatility as proxies for expected volatility, we present evidence of an increase in S&P 500 index futures mispricing with expected volatility. The impact of the VIX grows exponentially across the distribution of conditional mispricing levels, which suggests that the expectations of heightened future volatility become increasingly detrimental to arbitrage activities when the futures price deviations are enlarged; however, the influence of expected volatility is found to have been reduced during the global financial crisis period, a period during which concurrent volatility overwhelmingly dominated the magnitude of mispricing.     

Follow the leader: fund managers trading in signal‐strength sequence*

When fund managers trade sequentially in the same direction, the information confirmation hypothesis predicts the long‐term profitability of the leader trade to be increasing in the number of subsequent trades. The information cascade hypothesis predicts a non‐positive relationship. Using active equity funds’ daily trading data, we document a transition from information confirmation to information cascades as the number of followers increase. We find that highly disguised multiple‐broker packages exhibit higher market impact, higher long‐term returns and are associated with fewer followers. Our study also documents that lead fund managers face portfolio risk constraints in trading on private information.     

Co-movements of index options and futures quotes

We report evidence that the co-movements of index options and index futures quotes differ sharply from perfect correlation in periods with option trades. In half-hour intervals with (without) option trades 25% (12%) of call option quote changes have either the opposite sign or are larger in magnitude than the corresponding index futures quote changes. We calibrate a stochastic volatility model that allows for trade and no-trade periods using real data and simulate the joint co-movements of index quotes and option quotes in this model. We show that for trade intervals the observed co-movements differ from the benchmark case established by our simulations approximately three times too often. We provide empirical evidence that market microstructure effects – specifically, stale quotes and aggressive quotes – explain the majority of the deviations from the benchmark. Our findings are relevant for techniques that use estimates of local co-movements as inputs to price or hedge options.     

The Trades of Market Makers: An Empirical Analysis of NYSE Specialists

This paper presents a transaction-level empirical analysis of the trading activities of New York Stock Exchange specialists. The main findings of the analysis are the following. Adjustment lags in inventories vary across stocks, and are in some cases as long as one or two months. Decomposition of specialist trading profits by trading horizon shows that the principal source of these profits is short term. An analysis of the dynamic relations among inventories, signed order flow, and quote changes suggests that trades in which the specialist participates have a higher immediate impact on the quotes than trades with no specialist participation.     

Informed Futures Trading and Price Discovery: Evidence from Taiwan Futures and Stock Markets

This article focuses on the information effects between the futures market and its spot market. Intraday data are used to investigate the lead-lag relationships between the returns and trading activity of Taiwan stock index futures and the spot returns. We focus on the transmission direction and the sources of information. Consistent with most previous studies, our results show that other than the contemporaneous relationship predicted by carry-cost theory and efficient market theory, futures returns significantly lead spot returns, which implies that informed trades may occur in the futures market. Using private transaction information, net open buy, as a proxy for futures trading activity and distinguishing different types of futures traders, we find that foreign institutional traders are the major source of informed trades because their trading has predictive power for future movements in both spot and futures prices. Traders in other categories are information laggards.     

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.