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Overconfident Individual Day Traders: Evidence from Taiwan Futures Market * Wei-Yu Kuo a Tse-Chun Lin ba Department of International Business, National Chengchi University, Taiwan b School of Economics and Finance, University of Hong Kong, Hong Kong (This version January 16, 2012) Abstract We take advantage of a day-trading policy implementation in Taiwan futures market to investigate the performance of day traders. Since October 2007, investors can commit to be “day traders” by closing the day-trade position on the same day to enjoy 50% deduction for the initial margin. This ex ante nature provides us a laboratory to explore their trading behavior without potential biases from other trading mo- tivations and disposition effect. The result shows that the 3,470 individual day traders on average make a significantly loss of 61.5 (26.7) thousand New Taiwan dollars after (before) transaction costs from October 2007 to September 2008. This implies that those day traders are not only overconfident in precision of in- formation but also having biased interpretation of information. We also find that trading is only hazardous to the overconfident losers, but not to the winners. Last, the evidence suggests that more experienced in- dividual investors exhibit more aggressive day trading behavior. But these experienced day traders do not learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification: G10, G12, G13, C51. Keywords: overconfidence, index futures, day traders, individual investors, learning * We have benefited from the comments of Xiaohui Gao, Mark Grinblatt, Juhani Linnainmaa, Mark Seasholes, Kam-Ming Wan, Pai Xu, and participants at Paris December 2011 Finance Meeting, 19th SFM Conference, National Chengchi University and University of Hong Kong. Tse-Chun Lin gratefully acknowledges the research support from the Faculty of Business and Economics at the University of Hong Kong and the Research Grants Council of the Hong Kong SAR government. Any remaining errors are ours. Tel.: +886-2-2939-8033; fax: +886-2-2938-7699 . E-mail address: [email protected]. Tel.: +852-2857-8503; fax: +852-2548-1152. E-mail address: [email protected].

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Page 1: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

Overconfident Individual Day Traders: Evidence fromTaiwan Futures Market∗

Wei-Yu Kuoa† Tse-Chun Linb‡

aDepartment of International Business, National Chengchi University, TaiwanbSchool of Economics and Finance, University of Hong Kong, Hong Kong

(This version January 16, 2012)

AbstractWe take advantage of a day-trading policy implementation in Taiwan futures market to investigate the

performance of day traders. Since October 2007, investors can commit to be “day traders” by closing theday-trade position on the same day to enjoy 50% deduction for the initial margin. This ex ante natureprovides us a laboratory to explore their trading behavior without potential biases from other trading mo-tivations and disposition effect. The result shows that the 3,470 individual day traders on average make asignificantly loss of 61.5 (26.7) thousand New Taiwan dollars after (before) transaction costs from October2007 to September 2008. This implies that those day traders are not only overconfident in precision of in-formation but also having biased interpretation of information. We also find that trading is only hazardousto the overconfident losers, but not to the winners. Last, the evidence suggests that more experienced in-dividual investors exhibit more aggressive day trading behavior. But these experienced day traders do notlearn their types or gain superior trading skills, which could mitigate the losses due to overconfidence.

JEL Classification: G10, G12, G13, C51.

Keywords: overconfidence, index futures, day traders, individual investors, learning

∗We have benefited from the comments of Xiaohui Gao, Mark Grinblatt, Juhani Linnainmaa, Mark Seasholes,Kam-Ming Wan, Pai Xu, and participants at Paris December 2011 Finance Meeting, 19th SFM Conference, NationalChengchi University and University of Hong Kong. Tse-Chun Lin gratefully acknowledges the research supportfrom the Faculty of Business and Economics at the University of Hong Kong and the Research Grants Council of theHong Kong SAR government. Any remaining errors are ours.

†Tel.: +886-2-2939-8033; fax: +886-2-2938-7699 . E-mail address: [email protected].‡Tel.: +852-2857-8503; fax: +852-2548-1152. E-mail address: [email protected].

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1. Introduction

Day traders are both controversial and mysterious. Few studies have been devoted to them mainly

due to the lack of their identity and trading history. Even with comprehensive investor account

data, the day traders can only be identified ex post after tracing their trading record at daily

frequency. However, as pointed out by Barber and Odean (2000), investors could trade for reasons

like consumption needs, tax-motivation, liquidity, portfolio re-balancing, etc. Hence, ideally, we

would like to have an ex ante way of identifying day traders who only trade for profits as it would

provide us a more accurate documentation of their trading activities. This paper takes advantage

of a day-trading policy implementation in Taiwan futures market, which provides us a clear-cut

way to identify day traders ex ante, to study the performance of day traders.

On October 8th 2007, Taiwan Futures Exchange (TAIFEX) implemented a new margin re-

quirement policy that allows investors to indicate their orders as day-trade orders and deposit

only halved required margin. When a day-trade order is executed successfully, the position has to

be closed before the end of the day. Essentially, an investor commits to be literally a “day trader”

ex ante. Unlike the existing literature, which relies on the executed transactions to define day

traders, our day traders reveal themselves by submitting the day-trade orders. Hence, this study

focuses on the day traders identified by the day-trade orders instead of investors who merely buy

and sell the same security on the same day. 1

Our contribution is to take advantage of this new margin rule in the Taiwan futures market to

address the following questions: Are the day traders overconfident in the precision of informa-

tion? Do they have biased interpretation of information? Do they lose more money by trading

more contracts? In other words, is trading hazardous to their wealth? Is there any difference in the

relation between trading frequency and performance among winning and losing day traders? Fi-

nally, do the day traders’ past trading experience and performance affect their day trading behav-

ior? The first two questions are investigated in in Odean (1999) for regular individual investors,

1For the rest of the paper, the day trading and day traders in the Taiwan futures market are referred to the transac-tions executed by day-trade orders and the investors who submit day-trade orders respectively.

1

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while the third is addressed in Barber and Odean (2000). However, for reasons to be articulated

below, we believe that it is worth revisiting the questions with our day trader sample. The last

two questions are an insightful extension that provides a more complete picture on the investment

behaviors of day traders.

Several features motivate us to answer these questions by studying the day traders in Taiwan

futures market. First, the day traders have to close their positions before the end of the day, which

leads to an additional liquidation risk. Intuitively, those who engage in day trading are supposed to

be either the most informed or the most confident that they are the informed since they are willing

to take the extra liquidation risk for reduced margin. This unique institutional setup provides us a

sharper angle to revisit the question of investor overconfidence.

Second, the maximum investment horizon for the day traders is just one day by default. There-

fore, the realized end-of-day positions of our day traders are not related to the intra-day returns.

This is an important feature since we can observe the day traders positions without impact from

disposition effect.2 Besides, we do not need to calculate average returns of several holding periods

to accommodate variation of investment horizons among investors as in Odean (1999).

Third, our day traders can easily capitalize their negative information by shorting since there

are no short-sale constraints in the futures market. Jordan and Diltz (2003) point out that the

conventional Wall Street wisdom holds that day traders are profitable when the overall market is

running up. One explanation is the high cost of selling short stocks. However, the cost of shorting

futures is identical to taking a long one. We are thus able to examine the profitability of day

traders for both directional movements of the market.

Finally, our day traders are not trading for consumption or liquidity needs as they cannot get

proceeds from selling short. Instead, they have to deposit the margin. The reason to trade is

also unlikely to be portfolio re-balancing or diversification since they have to close their positions

within a day. Moreover, there is no capital gain tax in Taiwan. We can safely conclude that the

2Barber and Odean (2000) use monthly holding positions and calculate monthly returns to avoid such bias. Bydoing so, they need to assume that trading takes place on the last day of the month and also ignore the intra-monthtrading.

2

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main purpose to submit day-trade orders is for leveraging up the position to maximize the trading

profit. Together with previous points, Taiwan futures market provides an ideal environment to

answer the questions raised above.

By using the complete trading record in TAIFEX from October 8 of 2007 to September 30

of 2008, we find that the average net profit for a round-trip trade is −613 Taiwan dollar (one US

dollar is roughly 32 TWD during our sample period) for domestic individual day traders. Ag-

gregating to the investor level, the 3,470 individual day traders make a significantly loss of 61.5

thousand TWD after taking transaction costs into account. The result implies that the individual

day traders are overconfident in the precision of information. Before transaction costs, the indi-

vidual day traders still suffer an average of 26.7 thousand TWD losses. This indicates that those

day traders are not only overconfident but also having biased information. The finding is consis-

tent with Odean (1999) who studies individual traders in the US stock market. For institutional

day traders, the result is similar but statistically insignificant due to a much smaller number of

investors.

We also find that the numbers of short position and long position are similar for the individ-

ual day traders when we differentiate the direction of the round-trip trades. The individual day

traders are not as reluctant to short as US individual investors (see Boehmer and Kelley (2009)).

Interestingly, the average return of short-initiated round-trip trades is higher than which of the

long-initiated round-trip trades for individual investors, with a 160 TWD profit for short positions

and a 676 TWD loss for long positions respectively. It implies that when individual investors are

shorting, they are less overconfident than when they are taking long positions.

In addition, the result shows that the relation between trading frequency and performance is U-

shaped. By performing a quantile regression of profits on contract number for every 5 percentile,

we find that for day traders below the 15th percentile in profit, the more they trade, the more

losses they suffer. However, for day traders above the 60th percentile, the more they trade, they

more profit they make. Collectively, the documented relation between profit and contract number

corroborates that trading is only hazardous to the wealth of overconfident losers, but not to which

3

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of the informed or skillful winners. This is consistent with Barber, Lee, Liu, and Odean (2011)

who find cross-sectional differences in day trading skill in Taiwan stock market.

Last, we find that the more experienced individual investors exhibit more aggressive day trad-

ing behavior. However, the profits earned in the past is ony weakly related to the day trading

activity. The higher past profit alone does not contribute to higher day trading activity. The result

also shows that the overconfident day traders do not learn their types from their past performance

as suggested by Gervais and Odean (2001). The trading experience plays a limited role to help

individual investors to earn profit by taking advantage of the extra leverage brought by the new

day trading policy.

The rest of the paper proceeds as follows. Section 2 provides a discussion of the literature

most closely related to our work. Section 3 describes the data on the Taiwan futures market. Sec-

tion 4 outlines our empirical approach, and presents our main results and additional confirmation

exercises. Conclusions and summary of our findings are provided in Section 5.

2. Connection to the literature on day trader behavior and over-

confidence bias

This section provides a brief literature review, and aims to posit our empirical findings in the

context of both day traders and their overconfidence bias.

2.1. Day traders

Harris and Schultz (1998) use Nasdaq’s Small Order Execution System to analyze the perfor-

mance of individual day traders. The data contains around 10,000 round-trip trades over a three

week period. Their individual day traders earn a small average profit, even trading with market

makers. Jordan and Diltz (2003) examine the profitability of a sample of 324 US day traders.

They show that about twice as many day traders lose money as make money. They also document

that around 20 percent of sample day traders were more than marginally profitable. Garvey and

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Murphy (2005) report consistent intraday trading profits by 15 proprietary stock traders through

96 thousand trades in three months in 2000. Garvey and Murphy (2004) use the same data and

find that those traders earned more than $1.4 million in intraday trading profits.

Instead of studying a small number of US day traders, the two following papers examine a

large sample of day traders by taking advantage of the data availability from two international

markets. Linnainmaa (2005) studies a Finish data set, which contains 22,529 day traders and

spans from January 1995 to November 2002. He shows that individual day traders are reluctant

to close losing day trades, which consequently hurts their performance of portfolios up to -6%

in three months after a holdings change. Barber, Lee, Liu, and Odean (2011) document large

variation in the gross and net returns earned by day traders in Taiwan stock exchange from 1992

to 2006. They find that the spread in returns between top-ranked and bottom-ranked day traders

exceeds 60 basis point per day.

All the studies aforementioned focus on the day traders in the stock market and have a mixed

evidence on the profitability. Hence, we aim to complement the literature by providing new

evidence on the performance of day traders in Taiwan futures market. As far as we know, we are

the first paper exploring the day trading behaviors in the futures market. Besides, as expressed

in the previous section, our day traders are not defined ex post by their round-trip trades on the

same day. Our day traders instead commit to close their positions when they initiate them. The

estimation of their performance is thus free from noises due to other trading needs or behavioral

biases. Therefore, our paper also adds to the existing literature by providing this new perspective.

2.2. Investor overconfidence

There is a plethora of literature on investor overconfidence. We only briefly discuss the most

relevant ones. Odean (1999) and Barber and Odean (1999) use discount brokerage accounts to

demonstrate that overall trading volume in equity markets is excessive. They show that investors

are not only overconfident but also biased in the interpretation of information. Barber and Odean

(2000) show that individual investors who hold common stocks directly pay a tremendous per-

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formance penalty for active trading. Those that trade most earn an annual return of 11.4 percent,

while the market returns 17.9 percent during 1991 to 1996. They also attribute their findings to

the investor overconfidence.

Barber and Odean (2001) further explore overconfidence among genders and find that men

trade 45 percent more than women. The result shows that trading reduces men’s net returns by

2.65% a year, compared with 1.72% for women. Barber, Lee, Liu, and Odean (2009) analyze a

complete trading history of all stock investors in Taiwan from 1995 to 1999 and find that indi-

vidual investor trading results in systematic and economically large losses. They argue that the

investor overconfidence is one of the major cause of the losses.

Unlike the previous literature, our paper analyzes a specific group of investors i.e., the index

day traders. Our day traders have to close their positions before the end of the day ex ante in

exchange for the halved margin deposit. The commitment to the liquidation constraint intuitively

make the day traders the ideal candidates for studying the overconfident behaviors since they have

the strongest belief to be the informed.

3. Data description

3.1. The Taiwan futures market

The futures contracts of Taiwan Futures Exchange (TAIFEX) are traded by the Electronic Trading

System (ETS) from 8:45 AM to 1:45 PM. The matching rules are price priority and time priority.

The submitted orders are matched on a continuous basis. The four major contracts traded in

the TAIFEX are the Taiwan Stock Exchange Index Futures (hereafter TXF), which is based on

all listed stocks on the Taiwan Stock Exchange, the mini-Taiwan Stock Exchange Index Futures

(hereafter MXF), whose payoff is only one-quarter of the TXF, the Electronic Sector Futures

(hereafter EXF), which is based on the Taiwan Stock Exchange Electronic Sector Index, and the

Finance Sector Futures (hereafter FXF), which is based on the Taiwan Stock Exchange Financial

Sector Index.

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Our data contains all the trades from October 8 of 2007 to September 30 of 2008. In each

transaction, we observe the investor’s account number, her type (individual or institutional), con-

tract type, and other relevant information. Table 1 shows descriptive statistics of all the transac-

tions in our sample period. The first data trait worth emphasizing is that futures market trading

is dominated by individual investors. The ratio of transactions by individual investors over total

transactions is 71%, which is higher than the one of the Taiwan stock market (63% for 2008 and

72% for 2009). Majority of the transactions are based on the Taiwan Stock Exchange Index, with

55% from TXF and 34% from MXF. The Electronic and Financial Sector Index Futures account

for 5.7% and 5.6% respectively, while all other futures account for less than 1.4%.

3.2. The day trading rules in TAIFEX

On October 8th 2007, TAIFEX implemented a new margin requirement policy to increase the

trading volume of the index futures. For the major four index futures, i.e., TXF, MXF, EXF, and

FXF, the margin requirement is reduced by 50% if an investor indicates her order as a day-trade

order. When a day-trade order is successfully executed, the position has to be closed by the in-

vestor before 1:30 PM, 15 minutes before the market close. Otherwise, the position will be forced

to close by a market order or a limit order that is five ticks within the latest trade. Essentially,

through submitting a day-trade order, an investor commits to be a literally “day trader”. In other

words, the maximum duration of an index futures position that is initiated by a day-trade order is

less than five hours.

In the U.S., the “pattern day traders” are defined as those investors who trade the same stock

four or more times in five business days.3 In this study, index futures investors in Taiwan are

defined as day traders if their positions are established through day-trade orders. Our definition is

thus different from which in the U.S. as we have a clear flag to classify the day traders ex ante.

3Under the rules of NYSE and the Financial Industry Regulatory Authority (FINRA), investors who are deemedpattern day traders must have at least $25,000 in their accounts. See http://www.sec.gov/answers/daytrading.htm formore details.

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4. The performance of the day traders in Taiwan futures mar-

ket

This section addresses our main research questions related to the index futures day traders: Are

the day traders overconfident in the precision of information? Do they have biased interpretation

of information? Do they lose more money by trading more contracts? In other words, is trading

hazardous to their wealth? Is there any difference in the relation between trading frequency and

performance among winning and losing day traders? Finally, do the day traders’ past trading

experience and performance affect their day trading behavior? We provide evidence on these

questions in turn. Our results are important as they shed light on the possible behavioral biases

for the most aggressive individual traders in the market.

4.1. The definition of day traders and round-trip trade

To analyze the performance of day traders, we first have to filter transactions through day-trade

orders out from those through normal orders. We thus exclude transactions which are not initiated

by the day-trade orders. Second, we need to translate the raw transactions into completed round-

trip trades. Essentially, a round-trip trade is when an initiated position, long or short, is covered.

After the filtration, the profit of a round-trip trade can be easily calculated when an investor’s

net position for an index futures is back to zero again. Our way of calculating the payoff of a

round-trip trade is the same as Jordan and Diltz (2003) and Feng and Seasholes (2005). Finally,

we only include investors who conduct more than 5 day trades during our sample period in the

analysis.

The resulting descriptive statistics of the raw transactions by the day traders are in Table 2.

The transactions from the domestic individual investors and institutional day traders are reported

separately. In total, we have 1.42 million contracts traded by the individual day traders while only

44 thousand contracts traded by the institutional day traders. For domestic individual investors,

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each transaction contains roughly 1.5 contracts.4 The ratio is much higher for the institutional

day traders. Except for the first month, we have more than one thousand individual day traders in

each month.5 The number stabilizes around 15 hundred per month for the later half of the sample

period. There are only few institutional day traders conducting day trading with average number

of 14 per month. Although the institutional day traders only account only 3% of the day-trade

contracts, it is worth exerting some effort to study whether their performance differs from which

of the individual day traders.

4.2. The poor performance of the aggregate round-trip day trades

Before we dig into the performance of the day traders, looking at the performance of the aggregate

round-trip trades first would offer us a general picture. Table 3 Panel A reports the profit of all the

round-trip trades by individual and institutional day traders. There are 348,000 round-trip trades

by the individual investors. On average, one round-trip day trade suffers a loss of 266 TWD.

After trading fee and transaction tax, the net profit is −613 TWD.6 The profit for institutional day

traders is also negative though insignificant due to a small number of observations. The positive

medians of investors round-trip trades by individual and institutional day traders suggest a skewed

distribution the round-trip trade profit.

Panel B and C report the profits of long-initiated and short-initiated round-trip trades. The

numbers of long position and short position are similar for the individual day traders. It seems

that the individual day traders are not reluctant to short as we anticipated. Several reasons might

explain the phenomenon. First, the cost of initiating a long or short position is symmetric in the

index future market. Second, the daily downside risk is caped at 7% due to price limit in Taiwan

4There is barely any foreign individual day trading in TAIFEX.5The identify of day traders in each month could be largely overlapped over months. In total, we have 3,470

individual day traders.6The transaction tax of Taiwan futures market is 0.8 basis point for initiating or closing one contract. The trading

fee varies among different types of investors and across different brokerage firms. The comprehensive trading feedata is unfortunately unavailable. However, the average trading fee for initiating or closing a contract is around 37.5TWD according to the press release of the Ministry of Finance on 4th of October 2008. We thus apply the fee to allthe transactions we analyze.

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stock market. Third, the margin call also limits the exposure of the downside risk.

Turning to the performance, we see an intriguingly opposite pattern across the investor types

for the long and short positions. Individual day traders perform worse when they take long posi-

tions. The gross and net profits are −676 and −1,014 TWD respectively. With short positions,

their average payoff is 160 TWD and − 196 TWD after transaction costs. This suggests that when

individual day traders are shorting, they are more cautious and less overconfident than when they

are taking long positions in general.

For institutional day traders, on the contrary, the average payoff for long-initiated round-trip

trade is much higher than which of the short-initiated, with a difference of 12,274 (12,339) TWD

including (excluding) transaction costs. With more transactions in each round-trip trade as shown

in Table 2, the magnitude of gains and losses is larger for institutional day traders. Overall, the

crucial insight to be garnered from Table 3 is the poor average performance of round-trip trades.

It bodes the unpromising performance of the day traders that we analyze in the next section.

4.3. The overconfident individual day traders

With the payoff of every round-trip day trade, we can aggregate trades at investor level over our

sample period to gauge the profitability. Following Jordan and Diltz (2003), Table 4 reports the

distribution of the gross and net profits for day traders with 50 thousand TWD in each bin. Like

previous section, we also present the performance when long-initiated and short-initiated day

trades are aggregated separately. In total, we have 3,470 individual day traders who submit day-

trade orders at least on five trading days during our sample period. Similar to previous section,

the numbers of day traders taking long and short positions are similar. This implies that most of

the day traders trade in both directions.

If day traders are rational, they are supposed to be the most informed or with best information

processing technology since they are willing to bear the risk of forced liquidation at the end of

the day. They believe that the benefit of extra leverage, with 50% reduction of initial margin

by submitting day-trade order, outweighs the risk of premature liquidation. Therefore, following

10

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Odean (1999), our first null hypothesis is that the net profit of day traders should be positive.

However, the results in Table 4 clearly reject the null hypothesis. For all individual day trades,

on average, they make a significantly negative profit of 61.5 thousand TWD after transaction

costs. While the finding based on the sample average might be driven by outliers, the significantly

negative median alleviates the concern. Besides, only less than 20% of the individual day traders

make positive net profit. With no other reasons to trade like the tax filing or liquidity demand, our

evidence strongly corroborates that the individual day traders are overconfident.

The second question to ask is that whether the day traders are systematically misinterpreting

information available to them. In other words, we would like to study whether trading decision

based on the very information is wrong. Therefore, the second null hypothesis is that on average

the day traders should have positive gross profits.

Again, the first column in Table 4 shows that the hypothesis is rejected. The day traders suffer

an average of 26.7 thousand TWD losses before transaction costs. The magnitude is smaller for

median but still significant. The ratio of day traders making positive gross profit is only around

29%. Overall, the evidence indicates that the day traders have biased information which leads

to negative gross profits. Meanwhile, consistent with the previous section, we also find that the

long-initiated trades perform worse than short-initiated trades.

The day traders in our sample voluntarily restrict the freedom of liquidation timing to the day

of transaction. The information story cannot reconcile the ex ante nature of day trading and the

poor average performance we document ex post. Therefore, a conclusion to be drawn from Table 4

is that the individual day traders are both overconfident and also biased in their information. The

result is compatible with the findings in Odean (1999) and Barber, Lee, Liu, and Odean (2009)

for regular individual equity traders.

4.4. The overconfident institutional day traders

Now we turn to the performance of the institutional day traders. Table 5 shows that the overall

performance for the 42 traders are also poor. The average net profit of is −89.1 thousand TWD

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while the average gross profit is 4.2 thousand TWD. The larger difference between the profit

and net profit, compared with individual day traders, is due to the higher number of transactions

per institutional investor. However, due to the small number of observations, both profit and

net profit are not statistically significant. When focus on the direction of trades separately, the

institutional day traders perform better when taking long positions as we found in the previous

section. However, probing further into the distribution, we see that the performance varies widely.

The average performance is mainly driven by few outliers. Besides the small sample, the wide

variation of payoff also contributes to the low statistical power.

4.5. Trading is only hazardous to the overconfident day traders

Having established that the individual day traders are overconfident in Section 4.3, we would like

to further ask whether those day traders lose more by trading more as documented in Barber and

Odean (2000) for US equity stock traders. In our context, essentially, we are interested in whether

day traders suffer more losses by trading more futures contracts.7

Table 6 Panel A is analogous to Figure 1 in Barber and Odean (2000). We sort the total con-

tracts traded into quintile and report the averages within each quintile for profit, profit per contract,

net profit, net profit per contract, and number of round-trip trades. The losses are increasing with

the number of contract traded for the first 4 quintile, from 16.4 thousand TWD to 62.6 thousand

TWD. For the most frequent trading quintile, those day traders manage to make a total profit of

31.2 thousand TWD on average. However, the gain for the most aggressive day traders is all con-

sumed by the transaction costs. The negative net profits are monotonically increasing from 18.3

thousand TWD to 108.2 thousand TWD. The takeaway here is similar to the Barber and Odean

(2000) that trading is hazardous to day traders’ wealth.

The relation between number of contracts traded and the performance is quite different when

we focus on the profit per contract.8 The magnitude of negative profit per contact, both before

7Due to the small number of the institutional day traders, the rest of the study will only focus on the individualday traders.

8If we assume that the margin deposited for each trade remains at the same level for all time, the profit per contract

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or after the transaction costs, reduces as the number of contracts traded increases. Overall, two

core findings to be learned here. First, the day traders make less loss per contract when they

trade more. Second, the day traders belonging to most frequent trading quintile could make more

money by trading more. To further explore the relation, we thus sort day traders into quintile

by the total profit or average profit instead of the contract number. Table 6 Panel B and Panel C

report the results respectively.

Panel B shows that only the fifth quintile day traders earn significant amount of profit. The

average gross profit within the quintile is 267 thousand TWD, compared with a miserable −324.9

thousand TWD for the first quintile. After the transaction costs, the fifth quintile day traders still

make a 188.5 thousand TWD profit. This is consistent with Barber, Lee, Liu, and Odean (2011)

who find some day traders in Taiwan equity market have superior trading skills. However, the

transaction costs roughly account for 30% of the grass profit. The profit per contract monotoni-

cally increases from a negative −504 TWD to 308 TWD while net profit per contract increases

from a negative 593 TWD to 218 TWD. The similar pattern could be found in the Panel C as well.

One of the most interesting findings for the paper is the pattern of contract number in Panel

B and C. We use Figure 1 and Figure 2 to convey the most essential point. When sorted by total

profit, we see an U-shape of the contract number traded. This implies that the most winners and

and losers both trade a lot. Trading is hazardous to the wealth od losers but not to that of the

winners. Mechanically, investors need to trades more to incur large gains or losses. However, the

U-shape is not due to this simple mechanism. When we sort the day traders by the average profit

per contract, Figure 2 shows that the U-shape largely preserves.

To formally test the relation between profit and number of contracts traded among winners and

losers, we adopt the quantile regression technique. The advantages of using quantile regression

are twofold. First, the test is less affected by the outliers. Second, any quantile can be estimated

with higher statistical power compared with running least square regressions within subgroups.9

Empirically, we run 19 different quantile regressions of the total profit or total net profit on a

serves as a reasonable proxy for the return.9Koenker (2005) provides a detail instruction of quantile regression.

13

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constant term and the contract number traded, starting the 5th percentile to 95th percentile.

For brevity, we only show the coefficients in interest and the confidence intervals in Figure 3

and Figure 4 for the total profit and the total net profit respectively. Both figures concur with the

U-shape pattern we found in Figure 1 and Figure 2. For day traders below the 15th percentile

in profit or net profit, the more they trade, the more losses they suffer. However, for day traders

above the 60th percentile, the more they trade, they more profit they can make. For example,

the day traders in the 95th percentile (the most winning day traders) make extra 400 TWD gross

profit by trading one more contact. On the contrary, the day traders in the 5th percentile (the most

losing day traders) make extra 800 TWD gross loss by taking one more position. Collectively, the

documented relation between profit and contract number does not fully corroborate that trading is

hazardous to the investors’ wealth. Instead, trading is only hazardous to the overconfident losers’

wealth, but not to the informed or skillful winners.

4.6. Excessive day trading is related to past trading volume but not profit

In this subsection, we try to answer whether the day trading activity and the profits are related to

the investors’ past trading record. In other words, we would like to address the question that the

overconfident day trading is due to learning as shown in Gervais and Odean (2001).

We first identify 2,641 day traders out of 3,470 with trading record from January 2000 to

September 2007. Panel A of Table 8 reports the performance of individual day traders in this

subsample. Interestingly, the day traders with trading record perform worse than those without

trading record. The average gross (net) profit is −38.4 (−73.4) thousand TWD, which are both

larger than those reported in Table 4. These experienced investors seem to gain no superior skills

from their past trading.

Next, we regress the number of round-trip day trades or total net profits of day traders on

the number of contracts traded, number of trading days, and gross profits earned during January

2000 to September 2007. The number of contracts traded and the number of trading days serve

as proxy for the trading experience while the gross profits help investors to know their “type”

14

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in the context of Gervais and Odean (2001). The independent variables are standardized for

the convenience of interpretation and the standard errors are adjusted for heteroscedasticity by

Davidson and MacKinnon (1993).

Table 7 shows that both past number of contracts traded and number of trading days are

strongly correlated with the day-trade activity. One standard deviation increase in the number of

contracts traded during January 2000 to September 2007 leads to 61 more round-trip day trades.

Similarly, one standard deviation increase in the of number of trading days leads to 25 more

round-trip day trades. The more experienced individual investors exhibit more aggressive day

trading behavior. However, the day trading activity is only weakly related to the profits earned in

the past. The higher past profit alone does not contribute to higher day trading activity.

Finally, day trading profit is correlated with number of contracts traded. One standard devia-

tion increase in the past number of contracts traded would lead to 270 thousand TWD day-trade

profit. But the day-trade profit is unrelated to the past trading profits. The overconfident day

traders do not to learn their types from their past performance. It could also be interpreted that

they do not gain trading skills or better information processing technology. Overall, the evidence

suggests that the trading experience plays a limited role to help individual investors to earn profits

by taking advantage of the extra leverage brought by the new day trading policy.

4.7. The complete day-trader sample and the subsample convey qualita-

tively the same results

The analysis in the previous sections requires at least five executed day trades for investors to be

included in the sample. We relax the ad hoc threshold to examine whether our results are robust

to other choices of threshold. We re-do the analysis in Table 4 but only report the main statistics

for brevity. Panel B of Table 8 indicates that the performance of all individual day traders, who at

least conduct one day trade, is as poor as that shown Table 4. On average, they make significantly

losses of 48.8 thousand TWD after transaction costs. Before transaction costs, the day traders

lose 26.7 thousand TWD on average. Panel C reports the results when we increase the threshold

15

Page 17: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

to ten day trades. The sample size reduces but it yields qualitatively similar results. The pattern

of day traders losing more in long positions than in short postilions also preserves.

To sum up, the documented overconfidence of the individual futures day traders in Taiwan

appears to be structurally stable and is not an artifact of the sample.

5. Concluding remarks

In this paper, we take advantage of a new day-trading policy implementation in Taiwan futures

market to study the performance of day traders. The policy provides us a clear-cut way to identify

day traders ex ante. Essentially, an investor commits to be a day trader by flagging her orders

as day-trade orders. Those positions need to be closed on the same day. This setup provides us

an ideal laboratory to address the following questions: Are the day traders overconfident in the

precision of information? Do they have biased interpretation of information? Do they lose more

money by trading more contracts? In other words, is trading hazardous to their wealth? Is there

any difference in the relation between trading frequency and performance among winning and

losing day traders? Finally, do the day traders’ past trading experience and performance affect

their day trading behavior?

Several features motivate us to answer these questions by studying the day traders in Taiwan

futures market. First, the investors who voluntarily take liquidation risk are supposed to be either

the most informed or the most confident that they are informed. Second, the maximum investment

horizon for the investors is restricted to one day by default. The day traders’ positions can be

observed without potential bias from disposition effect. Third, the futures day traders can easily

capitalize their negative information by taking short position. Finally, they are unlikely to trade

for consumption, liquidity, portfolio re-balancing, diversification, hedging, and tax-motivation.

The results show that the 3,470 individual day traders make substantially negative gross profits

and net profits. This implies that the individual day traders are not only overconfident in precision

of information but also having biased interpretation of information. The result for institutional

16

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day traders is similar but statistically insignificant due to a much smaller number of observations.

We also find that the numbers of short position and long position are similar for the individual

day traders. To our surprise, the short-initiated round-trip trades perform better than the long-

initiated round-trip trades for individual investors. Beside, the result does not fully support that

the investors lose more by trading more. Trading is only hazardous to the overconfident losers, but

not to the winners. Last, we find that the more experienced day traders exhibit more aggressive

day trading behavior. But the overconfident day traders do not learn their types from their past

performance. The trading experience thus plays a limited role to help individual investors to earn

profits by taking advantage of the extra leverage brought by the new day trading policy.

17

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References

Barber, B., Lee, Y.-T., Liu, Y.-J., Odean, T., 2009. Just how much do individual investors lose by

trading?. Review of Financial Studies 22, 609–632.

Barber, B., Lee, Y.-T., Liu, Y.-J., Odean, T., 2011. The cross-section of speculator skill evidence

from day trading. Unpublished working paper. University of California at Davis and Peking

University and University of California, Berkeley.

Barber, B., Odean, T., 1999. The courage of misguided convictions: The trading behavior of

individual investors. Financial Analysts Journal pp. 41–55.

Barber, B., Odean, T., 2001. Boys will be boys: Gender, overconfidence, and common stock

investment. Quarterly Journal of Economics 116.

Barber, B. M., Odean, T., 2000. Trading is hazardous to your wealth: The common stock invest-

ment performance of individual investors. Journal of Finance 55, 773–806.

Boehmer, E., Kelley, E., 2009. Institutional investors and the informational efficiency of prices.

Review of Financial Studies 9, 3563–3594.

Davidson, R., MacKinnon, J. G., 1993. Estimation and Inference in Econometrics. Oxford Uni-

versity Press, New York.

Feng, L., Seasholes, M., 2005. Do investor sophistication and trading experience eliminate be-

havioral biases in financial markets?. Review of Finance 9, 305–351.

Garvey, R., Murphy, A., 2004. Are professional traders too slow to realize their losses?. Financial

Analysts Journal 60, 35–43.

Garvey, R., Murphy, A., 2005. Entry, exit and trading profits: A look at the trading strategies of a

proprietary trading team. Journal of Empirical Finance 12, 629–649.

Gervais, S., Odean, T., 2001. Learning to be overconfident. Review of Financial Studies 14, 1–27.

Harris, J., Schultz, P., 1998. The trading profits of soes bandits. Journal of Financial Economics

50, 39–62.

18

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Jordan, D., Diltz, D., 2003. The profitability of day traders. Financial Analysts Journal 59, 85–95.

Koenker, R., 2005. Quantile Regression. Cambridge University Press, Cambridge, UK.

Linnainmaa, J., 2005. The individual day trader. Unpublished working paper. University of

Chicago.

Odean, T., 1999. Do investors trade too much?. American Economic Review 89, 1279–1298.

19

Page 21: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

Tabl

e1

All

Inde

xFu

ture

sDes

crip

tive

Stat

istic

s

Tota

lIn

vest

orTy

pePr

oduc

tTyp

eTr

ansa

ctio

nsIn

divi

dual

Inst

itutio

nal

TX

FM

XF

EX

FFX

FO

ther

s20

07/1

01,

870,

994

1,38

1,27

648

9,71

81,

078,

166

506,

157

129,

863

141,

018

1579

020

07/1

12,

470,

271

1,77

9,26

069

1,01

11,

454,

938

711,

988

139,

628

139,

699

2401

820

07/1

22,

716,

747

1,80

4,61

991

2,12

81,

525,

523

936,

893

123,

451

113,

037

1784

320

08/0

14,

176,

970

2,54

4,21

81,

632,

752

2,23

5,00

71,

361,

298

298,

008

225,

626

5703

120

08/0

21,

791,

517

1,27

0,27

352

1,24

492

5,13

654

8,78

012

9,29

911

0,56

377

739

2008

/03

3,40

3,47

32,

515,

959

887,

514

1,83

9,39

61,

131,

589

197,

695

201,

394

3339

920

08/0

42,

886,

335

2,17

4,86

971

1,46

61,

510,

854

955,

650

175,

457

205,

264

3911

020

08/0

52,

864,

748

2,09

5,69

276

9,05

61,

522,

378

934,

713

168,

154

189,

498

5000

520

08/0

62,

970,

428

2,12

5,78

784

4,64

11,

607,

198

1,02

7,27

114

6,66

915

4,92

534

365

2008

/07

3,27

2,21

72,

374,

412

897,

805

1,78

5,64

91,

158,

925

137,

089

151,

129

3942

520

08/0

83,

349,

750

2,55

2,30

379

7,44

71,

798,

758

1,20

3,78

217

4,04

113

2,16

841

001

2008

/09

3,64

0,04

92,

628,

370

1,01

1,67

91,

978,

549

1,30

2,01

716

8,38

714

7,84

443

252

Tota

l35

,413

,499

25,2

47,0

3810

,166

,461

19,2

61,5

5211

,779

,063

1,98

7,74

11,

912,

165

472,

978

Ave

rage

2,95

1,12

52,

103,

920

847,

205

1,60

5,12

998

1,58

916

5,64

515

9,34

739

,415

Rat

io10

0.00

0%71

.292

%28

.708

%54

.390

%33

.262

%5.

613%

5.40

0%1.

336%

Not

es.T

able

1re

port

sth

esu

mm

ary

stat

istic

sof

allt

rade

sin

the

Taiw

anfu

ture

sm

arke

tfro

mO

ctob

er8t

h,20

07to

Sept

embe

r30t

h,20

08.

The

num

ber

ofto

tal

tran

sact

ion,

the

num

ber

oftr

ansa

ctio

nsby

dom

estic

indi

vidu

alan

din

stitu

tiona

lda

ytr

ader

s,an

dth

enu

mbe

rof

tran

sact

ions

inth

eTa

iwan

Stoc

kE

xcha

nge

Inde

xFu

ture

s(T

XF)

,the

min

i-Ta

iwan

Stoc

kE

xcha

nge

Inde

xFu

ture

s(M

XF)

,the

Ele

ctro

nic

Sect

orFu

ture

s(E

XF)

,th

eFi

nanc

eSe

ctor

Futu

res

(FX

F),

and

the

othe

rty

pes

offu

ture

sar

ere

port

edre

spec

tivel

y.T

henu

mbe

rof

tran

sact

ions

are

repo

rted

onea

chm

onth

whi

leth

eto

tala

ndav

erag

eov

erth

em

onth

sar

eal

sopr

esen

ted.

20

Page 22: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

Tabl

e2

Day

-tra

deIn

dex

Futu

resD

escr

iptiv

eSt

atis

tics

Num

bero

fCon

trac

tsN

umbe

rofT

rans

actio

nsIn

vest

or/D

ayIn

vest

orD

ate

Indi

vidu

alIn

stitu

tiona

lIn

divi

dual

Inst

itutio

nal

Indi

vidu

alIn

stitu

tiona

lIn

divi

dual

Inst

itutio

nal

2007

/10

38,4

541,

180

26,3

5661

82,

907

4074

27

2007

/11

115,

502

5,18

276

,243

3,09

47,

339

8512

5511

2007

/12

99,0

433,

602

69,7

802,

516

7,71

574

1368

1220

08/0

114

9,06

867

895

,680

514

8,12

954

1485

1320

08/0

267

,692

491

49,6

7532

75,

703

5812

9218

2008

/03

140,

022

1,62

396

,775

1,03

89,

218

134

1609

1720

08/0

411

7,43

81,

102

82,3

8380

79,

485

115

1585

1520

08/0

511

4,62

86,

378

80,2

273,

222

9,02

810

515

7315

2008

/06

127,

341

4,02

689

,410

2,35

59,

120

6515

7111

2008

/07

142,

063

1,61

098

,211

1,25

88,

527

6416

4018

2008

/08

150,

233

13,2

8611

0,23

37,

304

10,6

0513

416

7116

2008

/09

160,

646

4,81

211

0,74

63,

733

9,86

810

816

8317

Tota

l1,

422,

130

43,9

7098

5,71

926

,786

97,6

441,

036

17,4

7417

0A

vera

ge11

8,51

13,

664

82,1

432,

232

8,13

786

1,45

614

Max

160,

646

13,2

8611

0,74

67,

304

10,6

0513

41,

683

18M

in38

,454

491

26,3

5632

72,

907

4074

27

Not

es.

Tabl

e2

repo

rts

the

sum

mar

yst

atis

tics

ofth

eda

ytr

ades

for

four

Taiw

anin

dex

futu

res,

incl

udin

gT

FX,M

FX,E

FX,a

ndFX

F,fr

omO

ctob

er8,

2007

toSe

ptem

ber3

0,20

08.T

henu

mbe

rofc

ontr

acts

,num

bero

ftra

nsac

tions

,num

bero

finv

esto

r/da

y,an

dth

enu

mbe

rof

inve

stor

spe

rm

onth

for

dom

estic

indi

vidu

alan

din

stitu

tiona

lday

trad

ers

are

repo

rted

sepa

rate

ly.

The

iden

tify

ofda

ytr

ader

sin

each

mon

thco

uld

bela

rgel

yov

erla

pped

over

mon

ths.

Into

tal,

we

have

3,47

0di

stin

ctin

divi

dual

day

trad

ers

and

42in

stitu

tiona

lday

trad

ers.

21

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Table 3 Profit and Net Profit for Round-trip Trades

Panel A: All round-trip tradesIndividual Institutional

(thousands TWD) Profit Net Profit Profit Net ProfitMean ***-0.266 ***-0.613 0.043 -0.905p-value (0.000) (0.000) (0.994) (0.869)Median ***0.300 ***0.189 ***0.400 ***0.284p-value (0.000) (0.000) (0.000) (0.000)Max 2,298 2,065 12,160 12,086Min -5,180 -5,235 -10,464 -10,653number of obs 348,063 348,063 4,134 4,134

Panel B: Long-initiated round-trip tradesIndividual Institutional

(thousands TWD) Profit Net Profit Profit Net ProfitMean ***-0.676 ***-1.014 6.824 5.841p-value (0.000) (0.000) (0.374) (0.444)Median ***0.300 0.148 ***0.450 *0.294p-value (0.000) (0.392) (0.000) (0.051)Max 1,908 1,799 12,160 12,086Min -5,180 -5,235 -2,769 -2,833number of obs 177,415 177,415 1,862 1,862

Panel C: Short-initiated round-trip tradesIndividual Institutional

(thousands TWD) Profit Net Profit Profit Net ProfitMean ***0.160 ***-0.196 -5.515 -6.433p-value (0.005) (0.001) (0.475) (0.409)Median ***0.350 ***0.193 ***0.400 ***0.248p-value (0.000) (0.000) (0.000) (0.000)Max 2,298 2,065 10,385 10,314Min -2,596 -2,689 -10,464 -10,653number of obs 170,648 170,648 2,272 2,272

Notes. Table 3 reports the profit and net profit of all, long-initiated, and short-initiated round-triptrades. Net profit is the gross profit minus the transaction fee and tax. The profit and net profit fordomestic individual day traders and institutional day traders are reported separately.

22

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Table 4 Distribution of Profit and Net Profit for Domestic Individual Investors

All Trades Long-intiated Short-intiatedProfit Net Profit Profit Net Profit Profit Net Profit

(thousands TWD)below −500 78 105 44 54 24 28−500 to −450 16 20 7 13 4 4−450 to −400 25 17 13 15 4 7−400 to −350 26 30 21 27 6 10−350 to −300 29 36 29 33 11 13−300 to −250 48 59 37 34 9 14−250 to −200 71 92 48 61 27 31−200 to −150 107 154 90 96 42 56−150 to −100 228 269 186 207 94 115−100 to −50 485 540 381 444 239 288−50 to 0 1361 1473 1,623 1,722 1,479 1,6880 to 50 697 473 792 608 1,093 87250 to 100 133 80 70 56 140 92100 to 150 33 27 28 17 51 32150 to 200 27 23 17 12 19 13200 to 250 19 10 12 12 19 11250 to 300 12 6 6 5 8 9300 to 350 7 7 6 5 5 6350 to 400 9 5 8 1 8 3400 to 450 6 5 1 1 4 5450 to 500 5 2 2 1 5 3above 500 48 37 22 19 35 26

Mean *−26.654 ***−61.470 ***−34.813 ***−52.253 8.229 *−10.040p-value (0.071) (0.000) (0.000) (0.000) (0.281) (0.095)Median ***−18.675 ***−29.996 ***−13.000 ***−19.219 ***−2.950 ***−6.709p-value (0.000) (0.000) (0.000) (0.000) (0.000) (0.000)Max 29,171 23,121 14,547 11,580 14,623 11,541Min −20,991 −23,384 −19,201 −20,982 −2,993 −3,351Observations 3,470 3,470 3,443 3,443 3,326 3,326

Notes. Table 4 reports the total profit and net profit of all, long-initiated, and short-initiated tradesof domestic individual investors. The profit and net profit are reported in the bin of 50 thousandTWD.

23

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Table 5 Distribution of Profit and Net Profit for Institutional Day Traders

All Trades Long-intiated Short-intiatedProfit Net Profit Profit Net Profit Profit Net Profit

(thousands TWD)below −500 1 1 0 0 1 1−500 to −450 0 0 0 0 0 0−450 to −400 0 0 0 0 0 0−400 to −350 1 1 0 0 0 0−350 to −300 0 0 0 0 0 0−300 to −250 0 1 0 0 0 0−250 to −200 0 0 0 1 0 0−200 to −150 1 3 3 2 1 1−150 to −100 0 1 0 2 0 1−100 to −50 5 5 4 2 3 3−50 to 0 20 18 20 21 17 190 to 50 7 6 8 9 12 1150 to 100 1 1 2 0 3 1100 to 150 1 0 0 0 0 0150 to 200 0 1 0 1 0 0200 to 250 1 0 0 1 1 2250 to 300 0 0 0 0 0 0300 to 350 0 0 2 0 0 1350 to 400 0 0 0 0 1 0400 to 450 0 1 0 0 1 0450 to 500 0 0 0 0 0 0above 500 4 3 2 2 2 2

Mean 4.218 −89.058 309.921 265.272 −298.324 −348.015p-value (0.988) (0.785) (0.234) (0.265) (0.557) (0.513)Median −11.875 **−15.264 −5.500 *−7.937 −0.850 −4.481p-value (0.100) (0.041) (0.223) (0.054) (0.703) (0.504)Max 5,240 5,069 10,460 9,569 5,156 5,072Min −9,962 −11,956 −187 −204 −20,422 −21,525Observations 42 42 41 41 42 42

Notes. Table 5 reports the total profit and net profit of all, long-initiated, and short-initiated tradesof institutional day traders. The profit and net profit are reported in the bin of 50 thousand TWD.

24

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Table 6 Quintile of Contract Number, Profit, Net Profit, Profit per Contract, Net Profit perContract, and Round-trip Trade Number

Panel A: Sorted by number of contract1st Q 2nd Q 3rd Q 4th Q 5th Q

Number of Contract 24.14 59.40 120.02 251.22 1613.61Profit (thousands TWD) -16.43 -33.90 -51.54 -62.58 31.17Profit per Contract (TWD) -680.71 -570.63 -429.38 -249.10 19.32Net Profit (thousands TWD) -18.26 -38.45 -60.63 -81.78 -108.23Net Profit per Contract (TWD) -756.20 -647.35 -505.16 -325.54 -67.07Round-trip Trade Number 10.83 24.25 47.70 94.89 323.87

Panel B: Sorted by total net profit1st Q 2nd Q 3rd Q 4th Q 5th Q

Number of Contract 644.82 236.01 210.05 110.96 866.56Profit (thousands TWD) -324.90 -57.35 -16.56 -1.46 267.01Profit per Contract (TWD) -503.86 -243.02 -78.85 -13.19 308.12Net Profit (thousands TWD) -382.11 -74.81 -30.50 -8.43 188.51Net Profit per Contract (TWD) -592.59 -316.98 -145.21 -75.98 217.54Avg Round-trip Trade Number 148.47 90.36 72.02 47.22 143.46

Panel C: Sorted by net profit per contract1st Q 2nd Q 3rd Q 4th Q 5th Q

Number of Contract 312.22 206.57 261.64 409.50 878.47Profit (thousands TWD) -277.40 -86.84 -37.02 0.35 267.64Profit per Contract (TWD) -888.48 -420.36 -141.49 0.84 304.66Net Profit (thousands TWD) -307.39 -104.40 -57.62 -26.40 188.47Net Profit per Contract (TWD) -984.54 -505.38 -220.24 -64.47 214.54Avg Round-trip Trade Number 43.33 67.42 90.65 151.26 148.87

Notes. Table 6 reports the average values of the total profit, total net profit, profit per contract,net profit per contract, and total round-trip trades in each quintile groups for domestic individualinvestors. Panel A reports the results sorted by the number of total contracts traded by individualday traders during the sample period. Panel B shows the results sorted by the total profit. ThePanel C shows the results sorted by the profit per contract.

25

Page 27: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

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26

Page 28: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

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Quintile 1 Quintile 2 Quintile 3 Quintile 4 Quintile 5

Average Profit and Contract Numbers Sorted by Total

Net Profit

Contract Number Average Profit Average Net Profit

Figure 1 The Average Total Contract Number, Total Profit, and Total Net Profit withineach Quintile sorted by the Total Profit

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Average Profit and Contract Numbers

Sorted by Average Net Profit

Contract Number Average Profit Average Net Profit

Figure 2 The Average Total Contract Number, Total Profit, and Total Net Profit withineach Quintile sorted by the Average Profit per Contract

27

Page 29: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

Table 8 Robustness Check: the Distribution of Profit and Net Profit for Domestic IndividualInvestors

Panel A: With Trading RecordAll Trades Long-intiated Short-intiated

Profit Net Profit Profit Net Profit Profit Net ProfitMean **-38.394 ***-73.364 ***-43.558 ***-61.200 5.078 **-13.194p-value (0.012) (0.000) (0.000) (0.000) (0.509) (0.028)Median ***-20.750 ***-32.639 ***-14.875 ***-20.724 ***-3.200 ***-6.998p-value (0.000) (0.000) (0.000) (0.000) (0.000) (0.000)Max 23,718 15,028 11,114 7,229 12,605 8,984Min -20,991 -23,384 -19,201 -20,982 -2,634 -3,182Obs 2,641 2,641 2,622 2,622 2,523 2,523

Panel B: Threshold ZeroAll Trades Long-intiated Short-intiated

Profit Net Profit Profit Net Profit Profit Net ProfitMean **-23.462 ***-48.786 ***-29.032 ***-42.413 4.450 **-10.107p-value (0.026) (0.000) (0.000) (0.000) (0.457) (0.032)Median ***-10.150 ***-16.674 ***-7.600 ***-11.419 ***-2.450 ***-5.050p-value (0.000) (0.000) (0.000) (0.000) (0.000) (0.000)Max 29,171 23,121 14,547 11,580 14,623 11,541Min -20,991 -23,384 -19,201 -20,982 -2,993 -3,351Obs 4,867 4,867 4,585 4,585 4,252 4,252

Panel C: Threshold TenAll Trades Long-intiated Short-intiated

Profit Net Profit Profit Net Profit Profit Net ProfitMean -28.192 ***-71.849 ***-39.332 ***-61.025 11.227 -11.251p-value (0.143) (0.000) (0.001) (0.000) (0.247) (0.140)Median ***-24.950 ***-39.899 ***-18.175 ***-25.857 ***-3.550 ***-9.293p-value (0.000) (0.000) (0.000) (0.000) (0.000) (0.000)Max 29,171 23,121 14,547 11,580 14,623 11,541Min -20,991 -23,384 -19,201 -20,982 -2,993 -3,351Obs 2,653 2,653 2,644 2,644 2,601 2,601

Notes. Table 8 reports the total profit and net profit of all, long-initiated, and short-initiatedtrades of domestic individual investors. Panel A reports the results of all individual day traderswith trading record from 2000/01/01 to 2007/10/07. Panel B reports the results of individual daytraders with at least one day trade. Panel C reports the results of individual day traders with atleast ten day trades.

28

Page 30: Overconfident Individual Day Traders: Evidence from Taiwan ... · learn their types or gain superior trading skills, which could mitigate the losses due to overconfidence. JEL Classification:

-1200

-1000

-800

-600

-400

-200

0

200

400

600

800

1000

5th 10th 15th 20th 25th 30th 35th 40th 45th 50th 55th 60th 65th 70th 75th 80th 85th 90th 95th

Profit on Contract Number Upper Confidence Interval Lower Confidence Interval

Note:

Figure 3 The Coefficients of Quantile Regression of the Profit on Number of Contractstraded and the 95%Confidence Intervals

-1200

-1000

-800

-600

-400

-200

0

200

400

600

800

5th 10th 15th 20th 25th 30th 35th 40th 45th 50th 55th 60th 65th 70th 75th 80th 85th 90th 95th

Net Profit on Contract Number Upper Confidence Interval Lower Confidence Interval

Figure 4 The Coefficients of Quantile Regression of the Net Profit on Number of Contractstraded and the 95%Confidence Intervals

29