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行政院國家科學委員會專題研究計畫 成果報告

台灣期貨市場之市場結構與市場品質

計畫類別: 個別型計畫 計畫編號: NSC93-2416-H-004-039- 執行期間: 93 年 08 月 01 日至 94 年 07 月 31 日 執行單位: 國立政治大學國際貿易學系 計畫主持人: 郭維裕 報告類型: 精簡報告 處理方式: 本計畫可公開查詢

中 華 民 國 94 年 10 月 31 日

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The Effect of Trading Mechanism on the Market Quality of

Taiwan Futures Exchange

Weiyu Kuo

October 2005

Weiyu Kuo is an associate professor of the Department of International Trade, National Chengchi

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Abstract

On July 29, 2002, the Taiwan Futures Exchange decided to transform its original

call auction trading mechanism into a continuous auction trading mechanism in order

to improve the quality of the futures market in Taiwan. This transformation provides

us with a unique opportunity to examine the effect of trading mechanism on the

market quality. We evaluate the market quality according to twelve different

measures commonly used in the literature of market microstructure. We also

investigate the change in the adverse selection cost due to the transformation of

trading mechanism by decomposing the bid-ask spread into two components, the

order processing cost and the adverse selection cost, based on the model of Lin,

Sanger, and Booth (1995). In general, our results show that the continuous auction

market has better market liquidity, lower price volatility, and greater market depth

than the call auction market. In other words, the market quality of the TAIFEX

actually improves after switching to the new trading mechanism. Furthermore, the

continuous auction market is also more effective than the call auction market in

resolving the problem of information asymmetry in the TAIFEX according to the

component structure estimated by the model of Lin, Sanger, and Booth. Interestingly,

this result is inconsistent with the results of Madhavan (1992), Pagano and Röell

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1.

Introduction

The relationship between market structure and market quality has long attracted

academic attention in decades. In general, there are three popular types of market

structure in worldwide capital markets. They are the quote-driven market, the

order-driven market, and the hybrid market. The quote-driven market is also called

continuous dealer market. In this type of market, dealers are responsible for

posting firm quotes before actual transactions. In other words, investors are able to

obtain firm price quotations from market makers prior to order submission, so that

they can trades immediately with a market maker without waiting for order

execution. In contrast, in an order-driven market, investors submit their orders for

execution through either a continuous auction process or a periodic auction process.

In the former, investors submit orders for immediate execution by dealers on an

exchange floor or against existing limit orders submitted by public investors or

dealers. Yet, in the latter, orders of investors are aggregated for a certain period of

time and then matched at a single market clearing price at predetermined points of

time during a trading day. Nevertheless, most capital markets are operating as

hybrid markets that are complex hybrids of these three types of market structures.

Based on a Bayes-Nash equilibrium model, Madhavan (1992) examines and

contrasts the price formation process under the continuous dealer market, the

continuous auction market, and the periodic auction market. An important finding

of Madhavan (1992) is that the periodic auction market aggregates information

efficiently and is more robust to problems of information asymmetry since it can

operate where a continuous auction market fails. In particular, he shows that the

information asymmetry cost is higher in continuous auction markets than that in

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cost implies higher bid-ask spread, he does not explicitly derive this result in this

paper. Pagano and Röell (1992) consider a model in which market prices are set by

risk neutral competitive market makers, so that the order flow exerts price pressure

entirely due to its informational content. According to this model, they find that the

bid-ask spread is lower in the periodic auction market than on the continuous dealer

market and intermediate in the continuous auction market. In a similar framework,

Pagano and Röell (1996) find that due to its greater market transparency, a periodic

auction market has lower expected trading costs for liquidity traders than a

continuous auction market. By manipulating trading rules and information sets in

laboratory asset markets, Schnitzlein (1996) investigates the relative performance of

periodic auction and continuous auction under asymmetric information. He also

finds that the adverse selection costs incurred by liquidity traders are significantly

lower under the periodic auction market than the continuous auction market. In

summary, these theoretical articles show that the bid-ask spread and its information

asymmetry component are significantly lower in a periodic auction market than in a

continuous auction market.

There exist many studies focusing on testing the aforementioned theoretical

predictions empirically. Basically, these studies evaluate the difference in market

quality under different market structures. Christie and Huang (1994) examine the

change in transaction costs for firms that move from NASDAQ, a dealer market, to

the NYSE (AMEX), a specialist market. They report a significant reduction in

trading costs based on various market liquidity measures. Huang and Stoll (1996)

also find larger execution costs for a sample of NASDAQ stocks than those for a

matched sample of NYSE stocks. In this paper execution costs are measured in

termsofthequoted spread,theeffectivespread,therealized spread,theRoll’s (1984) implied spread, and the post-trade variability. De Jong, Nijman, and Röell (1995)

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compare the costs of trading French stocks listed both on the Paris Bourse, an

electronic continuous auction market, and on SEAQ International in London, a

continuous dealer market. They find that for small transactions, the former has

lower implicit trading costs than the latter measured by the effective and quoted

bid-ask spreads. Blemmerhassett and Bowman (1998) study the impact on

transaction costs of the switch from an open outcry or oral auction market, a type of

order-driven markets, to an electronic continuous auction market. They find that

the bid-ask spread declines after the switch.

Although examining the value effects for stocks transferring from a daily call

auction market to an iterated continuous call auction market, Amihud, Mendelson,

and Lauterbach (1997) also find a significant increase in liquidity for this

transformation as measured by the liquidity ratio, which measures the trading

volume associated with a unit change in the stock price. As a mirror image study

of Amihud, Mendelson, and Lauterbach (1997), Lauterbach (2001) examines the

change in market liquidity for 97 stocks that moved from continuous trades back to

single daily call auctions. He finds that upon exiting continuous trades, stock

liquidity drops. In contrast to Christie and Huang (1994) and Huang and Stoll

(1996), Clyde, Schultz, and Zaman (1997) investigate 47 stocks that voluntarily left

the AMEX from 1992 through 1995 and listed on the NASDAQ and find that both

effective and quoted spreads increase by about 100 percent after listing on the

NASDAQ. Degryse (1999) studies the market liquidity improvement resulting

from competition between the Brussels CATS market, an electronic continuous

auction market,and London’sSEAQ-I, a dealer market. He finds that both the effective and quoted bid-ask spreads are smaller in the Brussels CATS market.

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the AMEX between 1971 and 1994. Although they find significant liquidity

improvement as measured by percentage spread, trading volume, liquidity ratio,

Hasbrouck’s (1993) , and nonsystematic variance of stock returns estimateds

based on the market model, the degree of improvement actually varies across these

different measures. Based on these results, they conclude that liquidity has many

facets and cannot be represented by the bid-ask spread alone.

Based on a sample of stocks traded on the London Stock Exchange, a dealer

market, and also traded as ADRs on the NYSE, a specialist market, Huang and Stoll

(2001) show that the London dealer market exhibits higher bid-ask spreads than the

NYSE specialist market. Kehr, Krahnen, and Theissen (2001) compare execution

costs in two parallel trading mechanisms in the Frankfurt Stock Exchange: the

specialist market and the electronic continuous auction market. They find that

order execution costs for small trades in the specialist market are lower than the

quoted spread in the continuous market, while order execution costs for large

transactions in the specialist market are higher than the spread in the continuous

market. This result implies that specialists are indeed able to distinguish

informational trades from liquidity trades and then adjust the spread accordingly to

protect themselves from trading with informed traders. In addition, Theissen (2002)

analyzes the trading costs in the floor and computerized trading systems that exist in

parallel in the German stock market. He finds that the bid-ask spread is not

generally lower in one trading mechanism, but the electronic trading mechanism is

less attractive for less liquid stocks since it is more vulnerable to information trading.

From the above literature review, we can reach the following conclusions: (i)

Previous studies heavily concentrated on comparing transaction costs in a

quote-driven market and an order-driven market, especially a dealer market or a

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on equity market and very little attention has been paid to other markets, such as

bond markets and derivatives markets. (ii) These studies employ various measures

to examine market quality. These measures include the bid-ask spread, the

effective bid-ask spread, the liquidity ratio, the trading volume, the price volatility,

the Hasbrouck’s , the nonsystematic variance of stock returns estimated based ons

the market model, and so on. However, all these measures cannot reflect the

adverse selection costs incurred by investors in a market. Hence, how to quantify

the information asymmetry cost is also important to the market quality under a

market structure.

In comparison to the vast literature on the market structure of equity markets,

some papers have investigated the relationship between market structure and market

quality in derivatives markets recently. Given that many market participants and

scholars have argued that open outcry markets should be more liquid than

computerized markets in providing market liquidity for futures contracts, Pirrong

(1996) empirically examines this claim based on market liquidity in the

computerized Deutsche Terminborse (DTB) Bund market and the open outcry

London International Financial Futures Exchange (LIFFE) Bund market. He finds

that the former is more liquid than the latter. By investigating the liquidity of the

same Bund markets, Frino, McInish, and Toner (1998) also show that the quoted

bid-ask spreads are wider on the LIFFE than the DTB, even after controlling for

their determinants. This result is in line with that of Pirrong (1996). Tse and

Zabotina (2001) examine transaction costs and market quality of FTSE 100 Index

futures contracts after the LIFFE decided to transfer the trading venue for these

contracts from an open outcry market to an electronic market. Like Pirrong (1996)

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quality in terms of smaller variance of the pricing error than the former.

Combining the two streams of relevant literature, we find that for equity

markets, previous studies focus on comparing the difference in market quality

between the dealer market and the continuous auction market, and for derivatives

markets, previous studies focus on comparing market quality in the open outcry

market and the computerized auction market. To the best of our knowledge, no

papers so far have paid any attention to the difference in market quality between a

periodic auction market and an electronic auction market. It may simply because

this kind of event rarely happens in worldwide markets if there is any. The decision

of the Taiwan Futures Exchange (TAIFEX) to switch its original electronic

periodic auction market to an electronic continuous auction market on July 29, 2002,

therefore, provides us with a unique opportunity to compare the market quality of

these two different market structures.

Taking advantage of this rare switch in market structure and considering the

multi-facet property of market liquidity suggested by Elyasiani, Hauser, and

Lauterbach (2000), we examines the change in market liquidity after the transition

based on various measures of market quality including the bid-ask spread, the

effective bid-ask spread, the equally weighted bid-ask spread, the equally weighted

effective bid-ask spread, the dollar-volume weighted bid-ask spread, the

dollar-volume weighted effective bid-ask spread, the trading volume, the number of

trades, the trade size, the price volatility, the liquidity ratio and the information

asymmetry component of the bid-ask spread.

In general, our results show that the continuous auction market has better market

liquidity, lower price volatility, and greater market depth than the call auction market.

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the new trading mechanism. Furthermore, the continuous auction market is also

more effective than the call auction market in resolving the problem of information

asymmetry in the TAIFEX according to the component structure estimated by the

model of Lin, Sanger, and Booth. Interestingly, this result is inconsistent with the

results of Madhavan (1992), Pagano and Röell (1992, 1996), and Schnitzlein (1996).

The remainder of the paper is organized as follows. Section 2 provides a brief

description of the trading mechanism of the Taiwan Futures Exchange. Section 3

introduces the data set and empirical methodology. Section 4 presents and discusses

our empirical results. Section 5 concludes the paper.

2.

Trading Mechanisms of Taiwan Futures Exchange

Acknowledging that a channel for risk management is essential to the efficiency

of the domestic financial market and to the competitive advantages in the global

markets, the first futures exchange in Taiwan, the Taiwan Futures Exchange

(TAIFEX), was founded in 1998. Its first product, the Taiwan Stock Exchange

Capitalization Weighted Stock Index (TX) futures contract, was formally traded on

July 21st, 1998. The goal of TAIFEX is to provide a safe harbor and a leveled

playing field for the investors to meet their needs at all times. Furthermore, after a

full year transaction of the TX futures contract, the TAIFEX introduced the Electronic

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contract on July 21st, 1999. Since then, the TAIFEX has kept expanding its product

line in order to provide investors with more hedging channels. In particular, the

Mini-TX futures contract and the TX options contract started trading on April 9th,

2001 and December 24th, 2001, respectively. Moreover, the TAIFEX added two

more products, equity options contract and the Taiwan 50 futures contract, to its

existent product line in 20031. As shown in Table 1, the total transaction volume of

these futures and options contracts experienced an enormous growth during the period

from 2002 to 2003. Specifically, the annual transaction volume of the TAIFEX in

2003 achieved a record of 31,874,934 contracts, equivalent to average daily

transaction volume of 128,067 that represents an impressive growth of over 300

percent of the annual transaction volume in 2002 of 7,944,254 contracts, equivalent to

average daily trading volume of 32,033.

The TAIFEX opens at 8:45 a.m. and closes at 1:45 p.m., Monday to Friday. The

TAIFEX begins to receive orders at 8:30 a.m. Both limited and market orders are

acceptable. Before July 29th, 2002, the TAIFEX operated as an electronic call

auction market. In addition to the opening and closing call auctions, the periodic

call auctions were operated throughout the rest of the trading day, in which orders

were matched every 10 seconds at a market price that maximizes the trading volume.

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In order to improve the efficiency of execution and the price response to market

information, the TAIFEX decided to transfer from the original electronic call auction

system to an electronic continuous auction system for all of its futures contracts on

July 29th, 2002. Table 2 summarizes the structures of these two trading

mechanisms.

In the new trading mechanism, the opening and closing call auctions are kept

intact and a continuous auctions system is operated between the opening and closing

times. In the continuous auction system, an order is matched immediately once it

enters the Electronic Trading System (ETS). The order execution priority and

matching principles are described as follows:

(I) Priority will be firstly given to the orders with the best bid/offer prices and

secondly the earliest time of entry into the ETS. Market orders are prior to

limit orders.

(II) Orders with an identical bid or offer price entering before market opening

will be ranked randomly.

(III) Orders to buy or sell at the market price can be considered as limit orders

registered with limit-up or limit-down, respectively.

(IV) Buy orders registered with prices higher than the market price and sell

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(V) If not filled during the day, orders will be cancelled automatically. All

orders must be traded within the price limits that are determined by the

TAIFEX after the market closes on the previous business day.

3.

Data Description and Empirical Methodology

3.1 Data Description

This study investigates the impact of trading mechanism on the market quality of

the TAIFEX based the intraday data of the TX futures contract, the TE futures

contract, and the TF futures contract. The data are collected from the Taiwan

Economic Journal Intraday Data Bank, which is compiled from the data file provided

by the TAIFEX. The intraday data include the time-stamped quotes and trades for

all traded contracts. By discarding the first and the last 5-minute data to reduce the

potential biases caused by the overnight effect and the closing auction, we conduct

our empirical study based on the quoted bid and ask prices, the transaction prices, and

the transaction volumes for the nearest month contracts traded on the TAIFEX from

8:50 a.m. to 1:40 p.m..

The new trading mechanism started on July 29th, 2002. To make the market

participants understand the new trading mechanism, the TAIFEX began to hold

introduction activities at the end of May 2002. To avoid the empirical results

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March 2002 to May 2002 and from October 2002 to December 2002, omitting the

data from June 2002 to September 2002.

Other screening criteria taken to assemble the data are described as below:

(Ⅰ) Any record without transaction volumes is discarded from the sample.

(Ⅱ) To ensure the correction of the empirical study, recording errors and missing

data are also excluded. The transaction prices and quotes must be positive.

The lowest ask must exceed the highest bid. The transaction prices that

violate the price limits, 7% higher or lower than the pervious day’s closing

prices, are discarded as well.

(Ⅲ) The sample is divided into two groups to compare the change of liquidity

and transaction costs components. The sample before the enforcement is

formed from May 2002 and the post-event window is formed from October

2002 to December 2002.

Table 3 contains the specification of the TX Futures, the TE Futures, and the TF

futures.

3.2 Empirical Methodology

According to O’Hara(1995),marketstructuresmay differin threedimensions: market participants, trading locations, and trading rules. Loosely speaking, market

structures differ in determining who can trade, what they can trade, and when, where,

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certainly affect its market quality commonly measured in terms of market liquidity,

price efficiency, price volatility, and trading profits. Better market quality should

be manifested in high market liquidity, high price efficiency, low price volatility, and

fair trading profits to different types of traders.

Measuring the quality of a market in terms of price efficiency needs a specific

asset pricing model. The dependence of price efficiency on an asset pricing model

may result in the problem of joint hypothesis testing similar to that in testing the

market efficiency. Besides, our data are not detailed enough for us to calculate the

average trading profits for different types of traders before and after the

transformation of the trading mechanism. Hence, we focus on evaluating the

market quality in terms of market liquidity and price volatility, especially the market

liquidity.

The efficiency of a trading mechanism in resolving information asymmetry

existing in the market is frequently regarded as an important characteristic of a

desirable trading mechanism. However, the aforementioned liquidity and volatility

measures cannot adequately reflect the adverse selection costs incurred by investors

in a market. Hence, how to quantify the information asymmetry cost is also crucial

when one evaluates the quality of a market structure. We employ the spread

decomposition model of Lin, Sanger, and Booth (1995) to extract the order

processing component and the adverse selection component of the quoted bid-ask

spread. Based on this decomposition, we are able to investigate the change in the

degree of information asymmetry due to the transformation of the trading

mechanism in the TAIFEX.

3.2.1 Liquidity Measures

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their orders executed quickly at the lowest cost. There are various measures used to

describe the liquidity of a market, which may have the same or different patterns.

This study focuses on liquidity measures including the quoted spread, the effective

spread, the percentage quoted spread, the percentage effective spread, the

dollar-volume-weighted average percentage quoted spread, the

dollar-volume-weighted average percentage effective spread, the trading volume, the

number of trades, the trade size, and the liquidity ratio.

A. Bid-Ask Spread

In order-driven markets, public limit orders provide liquidity to the market and

establish the bid-ask spread. The quoted bid-ask spread is determined as the

difference between the lowest price of the sell limit orders and the highest price of the

buy limit orders. The effective spread is determined as the difference of the

transaction price and the mid-point of the bid-ask prices. The bid-ask spread

represents a part of the transaction costs facing traders who desire to make their orders

executed immediately and actively.

There are six types of bid-ask spreads computed in this paper:

(Ⅰ) the quoted spread

1 1    t t qt A B S , t =1, 2, 3…n. (1)

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highest buying order and the lowest selling order announced after the transaction t-1

is executed, which become the ask and bid price for the transaction t.

(Ⅱ) the effective spread

1    t t et P M S , (2) where 2 ) ( 1 1 1      t t t B A M , t =1, 2, 3…n. (3)

Pt is the trading price of transaction at time t and the Mt-1 is the most recent quoted

midpoint.

(Ⅲ) the percentage quoted spread

           1 1 1 100 % t t t qt M B A S , t =1, 2, 3…n. (4)

(Ⅳ) the percentage effective spread

          1 1 200 % t t t et M M P S , t =1, 2, 3…n. (5)

(Ⅴ) the dollar-volume-weighted average percentage quoted spread

 

              n t n t t qt t w q V S V S 1 1 % % . (6)

where Viis the volume of transaction t.

(Ⅵ) the dollar-volume-weighted average percentage effective spread

 

              n t n t t et t w e V S V S 1 1 % % . (7)

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To calculate all measures corresponding to the transaction t, At-1 and Bt-1 is

calculated instead of Atand Bt since Atand Bt will be disclosed only after orders are

matched at time t.

B. Volume, Number of Trades and Trade Size

Many empirical studies associate volume with liquidity. (Amihud, Mendelson,

Lauterbach, 1997; Elyasiani, Hauser, and Lauterbach, 2000) Theoretically, the

trading volume or trading frequency of a security is positively related to its liquidity

(Mendelson, 1982, 1985; Amihud and Mendelson, 1986). Academics show that the

transaction costs limit trading activities. (O’Hara, 1995; Blennerhassett and Bownman,

1998) The number of trades and the trade size are also viewed as the measures of

trading frequency. To compare the market liquidity of different trading mechanisms

on the TAIFEX, we calculate the trading volume, the number of trades and the trade

size as the average values of each trading day.

C. Volatility

Volatility is also a key variable to measure the market performance. Traders

can liquidate their securities with only little price movements in a low volatility

market. Madhavan (1992) indicates that the call market mechanism forces traders to

reveal the information existing in the market through order placement, which results

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higher information costs, which cause lower market liquidity. To evaluate the

market quality in terms of price volatility, we calculate the standard deviations of the

transaction prices and the rates of return as the proxies of price volatility.

D. Liquidity Ratio

The liquidity ratio measures the trading volume associated with a unit change of

the transaction price. The higher the ratio is, the better ability a market has to absorb

large amount of transactions without inducing large price movements. (Amihud,

Mendelson, and Lauterbach, 1997, Elyasiani, Hauser, and Lauterbach, 2000) The

liquidity ratio is defined as follows.

 

  n t n t t t R V LR 1 1 , (8)

where Vt and Rt are the trading volume and the rate of return for the transaction at

time t and the summation is over all transactions during a trading day.

3.2.2 The Bid-Ask Spread Components

Several models have been proposed for estimating the information asymmetry

cost or the adverse selection cost by decomposing the quoted bid-ask spread, e.g.,

Glosten and Harris (1988), Stoll (1989), George, Kaul, and Nimalendran (1991), Lin,

Sanger, and Booth (1995), Madhavan, Richardson, and Roomans (1997), and Huang

and Stoll (1997). All these models decompose the spread into two or three

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information asymmetry cost. Considering the fact that there is no designated market

maker in the TAIFEX and the empirical results of Menyah and Paudyal (2000) and

Van Ness, Van Ness, and Warr (2001)2 about the performance of these spread

decomposition models in capturing information asymmetry cost, we decide to use the

model of Lin, Sanger, and Booth (1995) to extract the adverse selection component of

the quoted bid-ask spread.

Lin, Sanger, and Booth (1995) estimate three parameters in their models: the

order processing cost (γ), the adverse selection cost (λ), and the order persistence

(θ). Consider a market sell (buy) order that is executed at the dealer’s bid price

(ask price) Bt (At) at time t. Let Qt (AtBt)/2 be the quote midpoint at time t.

t t

t P Q

z   , where Ptis the transaction price, represents one-half the signed effective

spread with zt< 0 for a sell order and zt> 0 for a buy order. These parameters can be

estimated from the following regressions:

1 1    ttt t Q z e Q , (9) 1 1    tt t z z , (10)

where the disturbance terms, et+1 and ηt+1 are assumed to be uncorrelated. In (9)

and (10), λreflects the quote revision as a fraction of the effective spread zt and θ

2 Majois and Winne (2003) also suggest that since the inventory cost may not exist in order-driven

markets due to the absence of liquidity suppliers, the two-way decomposition models, therefore, provide better estimates of the adverse selection cost. In addition, Brockman and Chung (1999) use

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reflects the order persistence.

With (9), (10), and ztPtQt, the order processing cost for the trade at time t can be estimated by the following equation:

t t t t t t P Q Q z z P1  ( 1 ) 1  1     zt ut , (11)

where 1 and ut1et1 .t1 To identify whether the spread

components change after the enforcement of the new trading mechanism, the

parameters, λ, γ, and θ are estimated separately for the samples before and after

the enforcement.

4.

Empirical Results

Before discussing the empirical results, we should remind that according to the

model of Madhavan (1992) and the laboratory experiment of Schnitzlein (1996), the

adverse selection costs incurred by liquidity traders are lower under the call auction

market than the continuous auction market and that the expected total trading costs for

liquidity traders are also lower under the call auction market than the continuous

auction market based on the models of Pagano and Röell (1992, 1996). Our results

provide empirical validation for these theoretical predictions.

Twelve proxies of market quality are calculated for three types of futures

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two separate sample periods. The first period spans three months from March 2002

to May 2002 when the trading mechanism was operated as a call auction market while

the second period is from September 2002 to December 2002 when the trading

mechanism was switched to a continuous auction market. Note that the proxies are

not calculated in the same data frequency. In particular, while the quote spread, the

effective spread, the percentage quote spread, and the percentage effective spread are

computed based on intradaily observations, the other proxies are computed based on

daily observations.

4.1 Liquidity

Table 4 compares the liquidity measures before and after the enforcement of the

electronic continuous auction mechanism for the three types of futures contracts.

Three interesting features emerge from Table 4: (i) As for those liquidity measures

based on the bid-ask spread, the quote spread, the effective spread, the percentage

quote spread, the percentage effective spread, and the dollar-weighted percentage

effective spread all decrease significantly after the change of trading mechanism with

the only exception of the dollar-weighted percentage quote spread that increases

significantly. This result implies that the market liquidity improves in a great deal in

the continuous auction market so that the total transaction costs facing liquidity

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of Pagano and Röell (1992, 1996). (ii) In contrast to the results of the spread-based

liquidity measures, the results for the proxies related to the trading volume are not

consistent for the three types of futures contract. Specifically, the transformation of

trading mechanism causes larger trading volume, larger trade number, and smaller

trade size for the TE and TF futures but smaller trading volume, large trade number,

and smaller trade size for the TX futures. Nevertheless, these results still point to

better market liquidity of the TX, TE, and TF futures in the continuous auction market.

(iii) For the TF and TE futures, the liquidity ratio, the price volatility, and the return

volatility all decrease significantly. The decrease of liquidity ratio implies that the

market depth of the TF and TE futures becomes shallow in the continuous auction

market. As for the TF futures, the liquidity ratio actually increases while the price

volatility and the return volatility both decrease as the TF and TE futures. In other

words, the market depth of the TF futures improves in the continuous auction market.

As shown in Table 4, the quote spread, the effective spread, the percentage

effective spread, and the dollar-weighted percentage effective spread for the TF, TE,

and TF futures are all significantly lower in the continuous auction market than those

in the original call auction market. Take the TX futures for example, the quote

spread decreases almost 20% from 2.4 index points to 2.0 index points; the effective

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effective spread decreases from 0.054% to 0.051%. These results indicate that the

new trading mechanism may offer lower transaction costs for investors. However,

both the percentage quote spread and the dollar-weighted percentage quote spread

become significantly larger for these three types of futures contract in the continuous

auction market. For instance, the percentage quote spread and the dollar-weighted

percentage quote spread for the TX futures significantly increases about 10% from

0.041% to 0.044% and from 0.041% to 0.045%, respectively. It is apparent that

different measures of liquidity may not lead to the same conclusion, a manifestation

of the multi-facet property pointed out by Elyasiani, Hauser, and Lauterbach (2000).

In addition, the percentage effective spread represents the true costs facing traders

when they want their orders to be traded immediately but the percentage of quote

spread only indicates the difference between the price of the best limit-buying order

and the price of the best limit-selling order, which may not be executed at the next

transaction. Overall, these results suggest that the new trading mechanism offers

lower transaction costs for traders than the old one.

It is of interest to note that the percentage effective spread decreases while the

percentage quote spread increases. In order to understand the underlying reason of

this result, we examine the distribution of transaction price with respect to the quote

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market, 30 percent of the transaction prices for the TX futures falls outside the quote

prices (above the ask price or below the bid price) and 60 percent at the quote prices

(at the ask price plus at the bid price). Only 10 percent stays inside the quote prices.

In the continuous auction market, the percentage for the transaction prices to fall

outside the quote prices decreases to 19% and that at the quote prices increases to

67%. Moreover, the percentage for the transaction prices to stay inside the quote

prices also increases to 14%. The transaction prices for both the TE and the TF

futures have similar patterns as shown in Panel B and C of Table 5. These patterns

explain exactly why the percentage effective spreads for the TX, the TE, and the TF

futures decrease while the percentage quote spreads increase.

Turning to the liquidity measures based on the trading volume, we find that the

trade size and the number of trade for the three types of futures contract become

smaller and higher, respectively. Take the TX futures for example, its trade size

declines significantly by 75% from 7.8 contracts to 1.9 contracts per transaction

whereas its number of trade increases significantly by 45% from 1643 to 2385 per

trading day. The result based on the trading volume is not as consistent as that based

on the trade size and the number of trade. In particular, although the average daily

trading volumes of the TE and TF futures increase significantly after the switch of the

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declines significantly by nearly 65% from 12856 contracts to 4551 contracts.

Obviously, the trading mechanism does not have the same effect on the trading

volume of the TX, the TE, and the TF futures. Despite this inconsistent result, we

still can conclude that in general, the continuous auction market improves the market

liquidity and offers lower transaction costs for investors in the TAIFEX.

It is well known that the market depth and the price volatility are two important

indicators of market quality. Great market depth and low price volatility are

indicative of good market quality. It is apparent from Table 4 that both the price

volatility and the volatility of rate of return become lower for the TX, the TE, and the

TF futures in the continuous auction market, suggesting better market quality due to

the change of the trading mechanism. For instance, the price volatility and the return

volatility for the TF futures decline significantly from 4.28 index points to 3.33 index

points and from 0.08% to 0.06%, respectively. However, the result of the liquidity

ratio is a bit different. While the liquidity ratio for the TF futures increases

significantly from 4162.3 contracts to 6134 contracts, the liquidity ratio for the TX

and TE futures actually decreases from 32784.2 contracts to 8459.7 contracts and

from 6480.9 contracts to 6018 contracts. It implies that the market depth for the TF

futures improves significantly in the continuous auction market whereas the market

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4.2 Bid-Ask Spread Components

In this section we employ the spread decomposition model of Lin, Sanger, and

Booth (1995) to separate the bid-ask spread into the order processing component and

the adverse selection cost component for the TF, the TE, and the TF futures in the call

auction market and the continuous auction market, respectively. Before we actually

estimate the model, we would like to study the behavior of the effective spread, zt,

which is important to the model estimation.

Table 6 summaries the distribution of effective spread. A transaction with zt>0

means that it is triggered by a buying order while a transaction with zt<0 indicates that

it is triggered by a selling order. Panel A of Table 6 shows that in the original call

auction market, 46 percent of the transactions for the TX futures are triggered by

buying orders; 50 percent are trigged by selling orders; and only 4 percent are traded

at the quote midpoint. After the market transforms to a continuous auction market,

45 percent of the transactions are triggered by buying orders; 49 percent are triggered

by selling orders; and the transactions occurring at the quote midpoint slightly

increase to 6 percent.

As shown in Panel B, the pattern of the transactions for the TE futures is a bit

different from that for the TX futures. After the transformation of the trading

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percent to 44 percent while the transactions occurring at the quote midpoint decrease

by 1 percent to 5 percent. The figures in Panel C of Table 6 suggest that the

transactions for the TF futures, which are triggered by buying and selling orders, both

decrease by 1 percent. In contrast, the transactions occurring at the quote midpoint

increase by 2 percent.

It is obvious that in both types of trading mechanism, the transactions are

triggered more often by selling orders than buying orders. Since we cannot clearly

identify whether those transactions with zt=0 are triggered by selling orders or buying

orders, the estimation of the spread decomposition model would be biased if the

percentage of this kind of transactions is very high. Fortunately, less than 6 percent

of the transactions is matched at the quote midpoint. Hence, it is unlikely that the

transactions with zt=0 have significant impact on the estimation of the spread

components.

We present the estimates of the spread components for the TX, TE, and TF

futures in Table 7. We specifically report the estimates for those three parameters in

the model, the adverse information cost (λ), the order processing cost (γ), and the

persistence of order arrival (θ), the t-statistics for the estimates and the R-square

values for the estimated models.

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decreases by almost 20% from 0.53 in the call auction market to 0.33 in the

continuous auction market while the order processing cost increases by 26% from

0.26 to 0.52. The estimates of the order persistence parameter decrease slightly by

8% from 0.23 to 0.15. In other words, the transactions are less persistent in the

continuous auction market. Furthermore, the adverse selection cost is the largest

component of the effective spread for the TX futures in the call auction market

whereas the order processing cost becomes the major component in the continuous

auction market.

Panel B indicates that after switching to the continuous auction market, the

adverse selection component for the TE futures decreases from 0.44 to 0.22 while the

order processing cost increases slightly from 0.26 to 0.32. However, unlike the TX

futures, the estimate of the order persistence for the TE futures increases from 0.3 to

0.46 and becomes the largest component of the effective spread. Therefore, the

continuous auction market is also effective in resolving the problem of information

asymmetry for the TE futures. As shown in Panel C, the installation of the

continuous auction trading system results in lower adverse selection cost and order

processing cost for the TF futures. Nevertheless, the transactions of the TF futures

become more persistent because the order persistence estimate increases sharply from

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adverse selection cost to the traders involving in the transactions of the TF futures

contract.

According to the results in Table 7, we know that the change of trading

mechanism may have different effects on the component structure of the effective

spread for different futures contracts in the TAIFEX. While the order processing

cost for the TF futures declines, those for the TX and TE futures actually increase.

This increase of the order processing cost is consistent with the finding of Lin, Sanger,

and Booth (1995) and Huang and Stoll (1997) that the order processing cost declines

as the trade size increases. It is because the trade size of the TX and TE futures

increases indeed in the continuous auction market. The most consistent result in this

section is that the continuous auction trading mechanism can effectively reduce the

adverse selection cost for all three types of futures contracts. However, this result is

inconsistent with the predictions of the models of Madhavan (1992), Pagano and

Röell (1992, 1996), and Schnitzlein (1996). It would be intriguing to investigate this

result further in our future research.

5.

Conclusions

On July 29th, 2002, the TAIFEX decided to switch its trading mechanism from the

original call auction market to the continuous auction market. This decision

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market quality of futures market. In this paper, the market quality is evaluated based

on twelve commonly used proxies including the quoted spread, the effective spread,

the percentage quoted spread, the percentage effective spread, the

dollar-volume-weighted average percentage quoted spread, the

dollar-volume-weighted average percentage effective spread, the trading volume, the

number of trades, the trade size, the liquidity ratio, the price volatility, and the

volatility of the rate of return. Besides, the change in the adverse selection cost due

to the switch of trading mechanism is also investigated based on the spread

decomposition model of Lin, Sanger, and Booth (1995).

Our empirical results confirm the finding of Elyasiani, Hauser, and Lauterbach

(2000) that market liquidity indeed has many facts and cannot be represented by the

bid-ask spread alone. In particular, the empirical results show that the quote spread,

the effective spread, the percentage effective spread, and the dollar-weighted

percentage effective spread are lower in the continuous auction market. However,

the other liquidity measures do not illustrate the same pattern. Overall, although not

very consistent, these results based on the liquidity measures suggest that the market

quality of the continuous auction market is better than the call auction market.

Besides, the continuous auction market is also more effective than its counterpart in

(32)
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Table 1. The volumes of products traded on the TAIFEX

Contract Annual Volume 2003 Annual Volume 2002 % Increase

Futures

TAIEX Futures (TX) 6,514,691 4,132,040 57.66 Electronic Sector Index Futures (TE) 990,752 834,920 18.66 Finance/Insurance Sector Index

Futures (TF)

1,126,895 366,790 207.23 Mini-TAIEX Futures (MTX) 1,316,712 1,044,058 26 Taiwan 50 Futures (T5F) 4,068 N/A (Launch date:

June 30th, 2003)

N/A

Total (Futures) 9,953,118 6,377,808 N/A

Options

TAIEX Options (TXO) 21,720,083 1,566,446 1286.58 Equity Options (STO) 201,733 N/A (Launch date:

January 20th, 2003)

N/A

Total (Options) 21,921,816 1,566,446 N/A

Total (Futures & Options) 31,874,934 7,944,254 301.23

Source: the article “2003:Record VolumefortheFifth ConsecutiveYearforTAIFEX” on the official website of the Taiwan Future Exchange.

Table 2. The new and old trading mechanism of TAIFEX

Time New mechanism Old mechanism Opening

8:45 a.m.

Electronic call auction Electronic call auction Operation between opening and

closing

8:45 a.m.-1:40 p.m.

Electronic continuous auction Electronic call auction

(Orders matching per 10 seconds) Closing

1:40 p.m.- 1:45p.m.

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Table 3. Contracts specification of the TX Futures, the TE Future, and the TF

futures3

Item Description Underlying Index

Taiwan Stock Exchange Capitalization Weighted Stock Index

Taiwan Stock Exchange Electronic Sector Index

Taiwan Stock Exchange Banking and Insurance Sector Index

Ticker Symbol TX TE TF

Delivery Months Spot month, the next calendar month, and the next three quarter months Last Trading Day The third Wednesday of the delivery month of each contract

Trading Hours

08:45AM-1: 45 PM Taiwan time Monday through Friday of the regular business days of the Taiwan Stock Exchange

Contract Size NT$200 * Index NT$4,000 * Index NT$1,000 * Index Minimum Price

Fluctuation

One index point (NT$200)

0.05 index point (NT$200)

0.2 index point (NT$200) Daily Price Limit +/- 7% of previous day's settlement price

Margin

The initial and maintenance margin levels as well as the collecting measures prescribed by the FCM to its customers shall not be less than those required by the TAIFEX. The margin levels will be adjusted and announced by the TAIFEX in accordance with "the Criteria and Collecting Methods regarding the Clearing Margins".

Daily Settlement Price The last trading price of the closing session or otherwise determined by the TAIFEX according to the trading rules

Final Settlement Day The first business day following the last trading day. All of the open interests after the final settlement day shall be settled on the final settlement price.

Final Settlement Price

The final settlement price for each contract is computed from the first fifteen-minute volume-weighted average of each component stock's prices in the index on the final settlement day. For those component stocks that are not traded during the beginning fifteen- minute interval on the final settlement day, their last closing prices would be applied instead.

Settlement Cash settlement

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Table 4. A comparison of liquidity before and after the enforcement of electronic continuous auction trading mechanism

*** 1% Significant Level ** 5% Significant Level * 10% Significant Level Old New df Value P-value Quote spread 2.4137 1.96976 (1, 249020) 5535.57 0 *** Effective spread 3.26473 2.27889 (1, 249020) 10163.4 0 *** Percentage quote spread 0.04053 0.04407 (1, 249020) 912.99 0 *** Percentage effective spread 0.05496 0.05105 (1, 249020) 379.977 0 *** Dollar-weighted percentage quote spread 0.0405 0.04485 (1, 122) 8.832 0.004 *** Dollar-weighted percentage effective spread 0.06966 0.06371 (1, 122) 5.015 0.027 ** Volume 12856.4 4551.33 (1, 122) 307.888 0 *** Trade size 7.82471 1.90786 (1, 122) 589.097 0 *** Trade number 1643.08 2385.39 (1, 122) 835.106 0 *** Liquidity ratio 32784.2 8459.71 (1, 122) 431.963 0 *** Return volatility 0.0429 0.03827 (1, 122) 2.045 0.155 Price volatility 27.1498 19.8455 (1, 122) 9.536 0.002 *** Quote spread 0.23113 0.16161 (1, 191550) 13874.9 0 *** Effective spread 0.26445 0.16817 (1, 191550) 12928.9 0 *** Percentage quote spread 0.07541 0.08172 (1, 191550) 588.075 0 *** Percentage effective spread 0.08638 0.08505 (1, 191550) 14.758 0 *** Dollar-weighted percentage quote spread 0.0766 0.0842 (1, 122) 5.481 0.021 ** Dollar-weighted percentage effective spread 0.10752 0.10085 (1, 122) 2.226 0.138 Volume 2316.11 3167.54 (1, 122) 79.92 0 *** Trade size 2.25729 1.50512 (1, 122) 126.025 0 *** Trade number 1028.03 2105.36 (1, 122) 822.666 0 *** Liquidity ratio 6480.94 6017.98 (1, 122) 2.965 0.088 * Return volatility 0.06694 0.06194 (1, 122) 0.93 0.337 Price volatility 1.68267 1.21704 (1, 122) 10.933 0.001 *** Quote spread 0.78825 0.72162 (1, 143174) 539.333 0 *** Effective spread 0.87138 0.6786 (1, 143174) 3146.48 0 *** Percentage quote spread 0.10442 0.11146 (1, 143174) 267.909 0 *** Percentage effective spread 0.11533 0.10472 (1, 143174) 438.288 0 *** Dollar-weighted percentage quote spread 0.10855 0.11528 (1, 122) 1.586 0.21 Dollar-weighted percentage effective spread 0.13894 0.11583 (1, 122) 19.385 0 *** Volume 1436.86 2097.97 (1, 122) 30.167 0 *** Trade size 1.84687 1.35072 (1, 122) 89.079 0 *** Trade number 725.026 1544.59 (1, 122) 315.478 0 *** Liquidity ratio 4162.28 6134.01 (1, 122) 38.588 0 *** Return volatility 0.08042 0.05582 (1, 122) 69.427 0 *** Price volatility 4.27654 3.33455 (1, 122) 5.893 0.017 ** ANOVA F-statistic

Panel A: Taiwan Stock Exchange Capitalization Weighted Stock Index (TX)

Panel C: Taiwan Stock Exchange Banking and Insurance Sector Index (TF) Panel B: Taiwan Stock Exchange Electronic Sector Index (TE)

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Table 5. A summary of distribution of transaction price with respect to the quote bid-ask price

Old New

% %

Panel A: Taiwan Stock Exchange Capitalization Weighted Stock Index (TX)

Above ask 14 9

At ask 29 32

Between ask and bid 10 14

At bid 31 35

Below bid 16 10

Panel B: Taiwan Stock Exchange Electronic Sector Index (TE)

Above ask 10 7

At ask 33 31

Between ask and bid 11 18

At bid 35 35

Below bid 11 9

Panel C: Taiwan Stock Exchange Banking and Insurance Sector Index (TF)

Above ask 8 6

At ask 36 31

Between ask and bid 8 22

At bid 39 34

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Table 6. A comparison of distribution of effective spread

Old New

% Max Average Min % Max Average Min Panel A: Taiwan Stock Exchange Capitalization Weighted Stock Index (TX)

Zt > 0 46 51 1.6608 0.5 45 16 1.2344 0.5

Zt = 0 4 - - - 6 - -

-Zt < 0 50 -0.5 -1.7088 -55 49 -0.5 -1.2297 -21 Panel B: Taiwan Stock Exchange Electronic Sector Index (TE)

Zt > 0 43 2.7 0.1219 0.025 44 0.95 0.0865 0.025

Zt = 0 6 - - - 5 - -

-Zt < 0 51 -0.025 -0.1413 -2.5 51 -0.025 -0.0895 -1.25 Panel C: Taiwan Stock Exchange Banking and Insurance Sector Index (TF)

Zt > 0 46 8.7 0.4319 0.1 45 5 0.351 0.1

Zt = 0 2 - - - 4 - -

-Zt < 0 52 -0.1 -0.4498 -10.5 51 -0.1 -0.3606 -4.5

1. The effective, ztis defined as:

t t t P Q

z  

where Ptis the transaction price, represents one-half the signed effective spread with zt< 0 for a sell order and zt> 0 for a buy orders.

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Table 7. Empirical Estimates of the spread components of the Effective spread

Old New

Estimate t-statistic R square Estimate t-statistic R square Panel A: Taiwan Stock Exchange Capitalization Weighted Stock Index (TX)

λ 0.531 140.493 0.160 0.327 52.75 0.019 γ 0.256 54.484 0.028 0.521 78.84 0.042 θ 0.229 75.699 0.052 0.151 57.32 0.023 Panel B: Taiwan Stock Exchange Electronic Sector Index (TE)

λ 0.440 114.654 0.170 0.216 84.498 0.053 γ 0.260 50.997 0.039 0.323 98.678 0.071 θ 0.300 79.674 0.090 0.459 184.14 0.210 Panel C: Taiwan Stock Exchange Banking and Insurance Sector Index (TF)

λ 0.399 139.616 0.299 0.154 92.684 0.081 γ 0.301 61.987 0.078 0.258 99.193 0.092 θ 0.300 67.258 0.090 0.588 227 0.346

6. Each parameter is estimated for the nearest –month contract of each of the three products, TX, TE, and TF in each of the periods, the old trading system and the new trading system.

7. The adverse information is estimated:

1

1 

  

Qt zt et (9)

where Qt1Qt1Qt, Qtis the quote midpoint at time t; ztPtQt, Ptis the trade price at time t; λ

is the adverse information component of effective spread. 8. The order processing cost is estimated:

1 1    Pt zt ut (11) where t t t P P P  

1 1 ; γis the order processing component of effective spread. 9. The order persistence is estimated:

1

1 

  tt

t z

z

數據

Table 2. The new and old trading mechanism of TAIFEX
Table 3. Contracts specification of the TX Futures, the TE Future, and the TF
Table 4. A comparison of liquidity before and after the enforcement of electronic continuous auction trading mechanism
Table 5. A summary of distribution of transaction price with respect to the quote bid-ask price
+3

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