The information content of an open limit‐order book

Using data from the Australian Stock Exchange, the authors assess the information content of an open limit‐order book with a particular focus on the incremental information contained in the limit orders behind the best bid and offer. The authors find that the order book is moderately informative—its contribution to price discovery is approximately 22%. The remaining 78% is from the best bid and offer prices on the book and the last transaction price. Furthermore, the authors find that order imbalances between the demand and supply schedules along the book are significantly related to future short‐term returns, even after controlling for the autocorrelations in return, the inside spread, and the trade imbalance. ©2008 Wiley Periodicals, Inc. Jrl Fut Mark 29:16–41, 2009     

Execution quality in open‐outcry futures markets

This study examines the composition of customer order .flow and the execution quality for different types of customer orders in six futures pits of the Chicago Mercantile Exchange (CME). It is shown that off‐exchange customers frequently provide liquidity to other traders by submitting limit orders. The determinants of customers' choice between limit and market orders are examined, and it is found that higher bid—ask spreads increase the limit‐order submission frequency, and increased price volatility makes limit‐order submission less likely. Effective spreads, trading revenues, and turnaround times for customer liquidity‐demanding and limit orders are also documented. Consistent with evidence from equity markets, the results show that limit‐order traders receive better executions than traders using liquidity‐demanding orders, but incur adverse selection costs. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:1067–1092, 2005     

Depths and spreads in futures markets: Relationship with order execution,submission, and cancellation

This paper examines the relationship between limit order submissions and liquidity. We find that there is a negative relationship between the limit order arrival rate and the depth at the best quotes (limit order queue length) and a positive relationship between submissions and bid–ask spreads. This is consistent with queuing theory, which predicts that an increase in the limit order arrival rate increases the queue length and the time to execution of a limit order. Consequently, limit order traders cover the increase in costs and risks associated with the increase in the time to execution of limit orders by increasing bid–ask spread.     

Examining futures price changes and volatility on the trading day after a limit‐lock day

This paper examines the effect that price limits have on futures prices by testing what happens to price changes and volatility on the trading day following a limit‐lock day. The results show evidence that prices continue to rise on average the day after an up‐limit day. In addition, limits appear to influence price volatility for some but not all of the futures contracts. However, since the findings vary across the different commodity futures contracts, it is likely that limits do not directly impact price volatility. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:445–466, 2000     

Bid and ask prices of index put options: Which predicts the underlying stock returns?

In this study, we separately estimate the implied volatility from the bid and ask prices of deep out-of-the-money put options on the S&P500 index. We find that the implied volatility of ask prices has stronger predictive power for stock returns than does the implied volatility of bid prices. We identify two sources of the better performance of the ask price implied volatility: one is its stronger predictive power during economic recessions and in the presence of increasing intermediary capital risk, and the other is its richer information about the future market variance risk premium.     

Simultaneous option prices and an implied risk-free rate of interest: A test of the Black-Scholes models

Two parameters in the Black-Scholes model, the risk-free rate of interest and standard deviation of stock returns, cannot be directly observed. Nevertheless, it is possible to simultaneously solve for the two parameters by using the prices of two different options written on the same security. If the Black-Scholes model is valid, then the implied interest rate from one repair of options should equal the implied interest rate from another pair of options for a given trading day. The analysis reexamines simultaneous option price data from a previous study using the implied interest rate test, and the results support the validity of the Black-Scholes model if we consider the bid/ask spread of option prices and that options are traded over discrete intervals.     

Intraday Liquidity Provision by Trader Types in a Limit Order Market: Evidence from Taiwan Index Futures

This study examines the dynamic liquidity provision process by institutional and individual traders in the Taiwan index futures market, which is a pure limit order market. The empirical analysis obtains several interesting empirical results. We find that trader type affects liquidity provision in a number of interesting ways. First, although institutional traders use more limit orders than market orders, foreign institution (individual) traders use a relatively higher percentage of market (limit) orders in the early trading session and then switch to more limit (market) orders for the remainder of the day until close to the end of the trading day. Second, net limit order submissions by both institutional and individual traders are positively related to one‐period lagged transitory volatility and negatively related to informational volatility. Third, net limit order submissions by institutional traders are positively related to one‐period lagged spread. Finally, both the state of limit order book and order size significantly influence all types of traders’ strategy on submission of limit order versus market order during the intraday trading session. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark 34:145–172, 2014     

Taxes,Order Imbalance and Abnormal Returns around the ex‐Dividend day

A costly arbitrage model, developed for the Australian imputation tax system, shows that stocks paying dividends with a tax credit are likely targets for ex‐dividend arbitrage. We show that order imbalance, based on the direct observation of buyer and seller initiated trades, is a key factor in price movements around the ex‐dividend day. Buying pressure before the ex‐dividend day aimed at capturing the dividend and tax credit leads to an increase in prices that subsequently reverse in the ex‐dividend period. This effect is concentrated in those stocks distributing a tax credit with their dividend payments. The price pressure resulting from order imbalance is substantially higher around the ex‐dividend day relative to the effect observed outside this period. Our results reject the model of Frank and Jagannathan ( 1998 ) that bid‐ask bounce is responsible for the ex‐day premium and provide support for explanations based on taxes, transaction costs, and incomplete price adjustment on the ex‐day.     

A Leland model for delta hedging in central risk books

Using a tractable extension of the model of Leland (1985), we study how a delta-hedging strategy can realistically be implemented using market and limit orders in a centralized, automated market-making desk that integrates trading and liquidity provision for both options and their underlyings. In the continuous-time limit, the optimal limit-order exposure can be computed explicitly by a pointwise maximization. It is determined by the relative magnitudes of adverse selection, bid–ask spreads, and volatilities. The corresponding option price—from which the option can be replicated using market and limit orders—is characterized via a nonlinear PDE. Our results highlight the benefit of tactical liquidity provision for contrarian trading strategies, even for a trading desk that is not a competitive market maker. More generally, the paper also showcases how reduced-form models are competitive with “brute force” numerical approaches to market microstructure. Both the estimation of microstructure parameters and the simulation of the optimal trading strategy are made concrete and reconciled with real-life high frequency data.     

Hedging under the influence of transaction costs: An empirical investigation on FTSE 100 index options

The Black–Scholes (BS; F. Black & M. Scholes, 1973) option pricing model, and modern parametric option pricing models in general, assume that a single unique price for the underlying instrument exists, and that it is the mid‐ (the average of the ask and the bid) price. In this article the authors consider the Financial Times and London Stock Exchange (FTSE) 100 Index Options for the time period 1992–1997. They estimate the ask and bid prices for the index, and show that, when substituted for the mid‐price in the BS formula, they provide superior option price predictors, for call and put options, respectively. This result is reinforced further when they .t a non‐parametric neural network model to market prices of liquid options. The empirical .ndings in this article suggest that the ask and bid prices of the underlying asset provide a superior fit to the mid/closing price because they include market maker's, compensation for providing liquidity in the market for constituent stocks of the FTSE 100 index. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:471–494, 2007     

Strategic Bidding for Multiple Units in Simultaneous and Sequential Auctions

A buyer in an electronic marketplace may be interested in buying a bundle of items, where any one item in the bundle may not be of particular interest. The emergence of online auctions allow such users to obtain bundles by bidding on different simultaneous or sequentially run auctions. Because the number of auctions and the number of combinations to form the bundles may be large, the bundle bidding problem becomes intractable and the user is likely to make sub-optimal decision given time constraints and information overload. We believe that an automated agent that takes user preferences and budgetary constraints and can strategically bid on behalf of a user can significantly enhance user profit and satisfaction. Our first step to developing such an agent is to consider bundles containing many units of a single item to be bought from auctions that sell only multiple units of one item type. We assume that users obtain goods over several days. Expectations of auctions and their outcome in the future allow the agent to bid strategically on currently open auctions. We present an expected utility based strategy to decide how many items to bid for in the current auctions, and the maximum price to bid for each item. We evaluate our proposed strategy in different configurations by varying the number of items sold per auction, number of concurrently running auctions, expected closing prices, etc. We simulate several multiple unit English auctions per day, over multiple days, where most of the bidders bid their true utilities drawn from a distribution. The strategic bidding agent has knowledge of this distribution and uses it to determine its bids. A strategic agent who looks farther ahead into the future produces larger returns when there are few strategic bidders. We also evaluate the effect of risk attitudes on the relative performance of the bidders.     

Consistency of option prices under bid–ask spreads

Given a finite set of European call option prices on a single underlying, we want to know when there is a market model that is consistent with these prices. In contrast to previous studies, we allow models where the underlying trades at a bid–ask spread. The main question then is how large (in terms of a deterministic bound) this spread must be to explain the given prices. We fully solve this problem in the case of a single maturity, and give several partial results for multiple maturities. For the latter, our main mathematical tool is a recent result on approximation by peacocks.     

What is the best proxy for liquidity in the presence of extreme illiquidity?

This paper aims to indicate the best daily proxy for unobserved liquidity in the presence of extreme movements on the market. We apply copulas to investigate the dependence between benchmarks based on intraday prices and proxies based on daily data. We focus on the tail dependence between both types of measures. Our results show that when the market experiences extreme illiquidity, the Closing Quoted Spread (CQS) based on daily closing bid and ask prices is superior to other percent-cost low-frequency proxies. We find the highest tail dependence coefficients for CQS and either the Percent Effective Spread or the Percent Quoted Spread.     

Electronic Call Market for Commodity Transactions: Design of Computer-Mediated Order Matching System

Commodity exchanges provide potential market structures for electronic trading because commodity products have relatively simple and well-standardized product attributes. Most existing electronic trading systems are introduced for financial exchanges, where qualities of traded products (such as stocks and bonds) are homogeneous, thus taking into account only bid and offer prices for computer-mediated order matching. However, a single commodity market, such as the cotton or grain market, is made up of many heterogeneous goods that are similar to each other but have different product qualities and contract terms. In addition to the price, commodity traders have other pertinent preference ranges over product attributes and delivery conditions. We delineate an electronic call market system for commodity trading, which optimizes the realization of traders' utilities over extended product attributes beyond the price. The electronic call market not only maximizes the total surplus of market participants based on bid and ask prices but also satisfies their qualitative preferences over other attributes, which are difficult to include in the quantitative prices. The trading mechanism of the electronic call market integrates an economic auction model with a social choice model to produce a Pareto-improved transaction. Market simulations are conducted to validate the performance of the proposed electronic call market. The order matching system of the electronic call market is implemented using constraint logic programming.     

Futures price limit moves as options

This note demonstrates that an asset's price in an environment with price limit rules can be replicated by the price of a portfolio consisting of a riskless asset and two synthetic options. A procedure is developed to unbundle the unobservable option values imbedded in the actual futures price and impute a theoretical true futures price. Using this framework, evidence from the Treasury Bond futures market suggests that theoretical true futures prices diverge from actual futures prices, on average, 3 h prior to the activation of price limit rules, indicating that price limit moves might be predictable. The reversal of both the actual futures prices and the theoretical futures prices back within the limit range after a limit move provides support for the possibility that traders tend to overreact when market prices are near price limits. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:901–913, 2002     

Bidding Strategies and Consumer Savings in NYOP Auctions

We investigate how bidding strategies of successful bidders influence the savings they derive from a Name Your Own Price (NYOP) retailer relative to buying the same product from a retailer who posts prices. Utilizing bidding data for hotel room purchases we demonstrate that consumer savings rate depends positively on consumer decision to haggle (# bids ≥3) and on the shape of the bid function. Relative to non-hagglers (# bids ≤2), hagglers who employ a constant bid increment (i.e., a linear) strategy and a decreasing bid increment (i.e., concave) strategy save more, while those who employ an increasing bid increment strategy (i.e., convex) fare no better. A post hoc analysis also shows that hagglers place many bids in the pursuit of higher quality products, while non-hagglers save friction costs by sacrificing quality (e.g., targeting lower star hotels and adjusting the days of travel).     

PRICE SETTING OF MARKET MAKERS: A FILTERING PROBLEM WITH ENDOGENOUS FILTRATION

This paper studies the price‐setting problem of market makers under risk neutrality and perfect competition in continuous time. The classic approach of Glosten–Milgrom is followed. Bid and ask prices are defined as conditional expectations of a true value of the asset given the market makers' partial information that includes the customers' trading decisions. The true value is modeled as a Markov process that can be observed by the customers with some noise at Poisson times. A mathematically rigorous analysis of the price‐setting problem is carried out, solving a filtering problem with endogenous filtration that depends on the bid and ask price processes quoted by the market maker. The existence and uniqueness of the bid and ask price processes is shown under some conditions.     

RISK METRICS AND FINE TUNING OF HIGH‐FREQUENCY TRADING STRATEGIES

We propose risk metrics to assess the performance of high‐frequency (HF) trading strategies that seek to maximize profits from making the realized spread where the holding period is extremely short (fractions of a second, seconds, or at most minutes). The HF trader maximizes expected terminal wealth and is constrained by both capital and the amount of inventory that she can hold at any time. The risk metrics enable the HF trader to fine tune her strategies by trading off different metrics of inventory risk, which also proxy for capital risk, against expected profits. The dynamics of the midprice of the asset are driven by information flows which are impounded in the midprice by market participants who update their quotes in the limit order book. Furthermore, the midprice also exhibits stochastic jumps as a consequence of the arrival of market orders that have an impact on prices which can give rise to market momentum (expected prices to trend up or down). The HF trader's optimal strategy incorporates a buffer to cover adverse selection costs and manages inventories to maximize the expected gains from market momentum.     

Consumer and Welfare Losses from Milk Marketing Orders

Consumer and welfare losses from milk marketing orders in 1985 including their impact on the sale of reconstituted milk are estimated. Results indicate that consumers pay higher prices for fluid milk and lower prices for manufactured milk products than they would under a competitive system. The net loss in consumer surplus ranges from $621 million to $851 million while the absolute welfare loss ranges from $343 million to $608 million. In addition, existing provisions of milk marketing orders effectively prohibit the use of reconstituted milk, an innovation that could ensure adequate and low cost supplies of fluid milk through the year and have many of the same effects as eliminating milk marketing orders.     

Dealer spread and portfolio selection under price risks: evidence from the gold service industry

The bid and ask quotes as well as portfolio selection decisions of gold dealers who face a gold price risk are investigated within a continuous-time framework. The research integrates into a systematic analysis the decision of asset allocation in financial economics as well as the decision of a bid–ask spread in a market microstructure. The holding rate of gold is correlated to the intensity and jump size of the Poisson process, which is a hedging demand for gold assets against the risk of extreme events. According to empirical analysis from the gold service industries, the gold spread return is related to the expected return, volatility and jump risks of gold prices.