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Order aggressiveness and order book dynamics 145<br />

current best bid and ask price. Thus, we dist<strong>in</strong>guish between “most aggressive”<br />

limit orders (whose price undercuts or overbids the current best ask or bid limit<br />

price, respectively), “aggressive” limit orders (which are placed directly <strong>in</strong> the<br />

current first level <strong>of</strong> the ask or bid queue), and “normal” limit orders (which enter<br />

the <strong>high</strong>er levels <strong>of</strong> the order book). F<strong>in</strong>ally, cancelled limit orders are regarded as<br />

the least aggressive orders. This classification is shown <strong>in</strong> Table 2.<br />

Table 3 shows the average numbers <strong>of</strong> the different types <strong>of</strong> orders. We observe<br />

that the proportions <strong>of</strong> the particular order types are not stable across stocks and<br />

show clear variations. For <strong>in</strong>stance, the percentage <strong>of</strong> aggressive market orders<br />

varies between 2 and 7%. Accord<strong>in</strong>gly, the proportion <strong>of</strong> most aggressive limit<br />

order varies between 0.1 and 4%. On average, we observe a <strong>high</strong>er proportion <strong>of</strong><br />

the most aggressive ask limit orders than that <strong>of</strong> the correspond<strong>in</strong>g bid limit orders.<br />

Furthermore, it turns out that on average around 5% <strong>of</strong> all limit orders are<br />

cancelled. An exceptionally <strong>high</strong> proportion <strong>of</strong> cancellations <strong>of</strong> around 11% is<br />

observed for NCP.<br />

In our empirical analysis, we focus on the three most <strong>in</strong>terest<strong>in</strong>g groups <strong>of</strong><br />

orders: aggressive buy and sell orders, most aggressive ask and bid limit orders as<br />

well as ask and bid cancellations. Moreover, we <strong>in</strong>troduce a further criterion for<br />

order aggressiveness which goes beyond the scheme shown <strong>in</strong> Table 2. In<br />

particular, we exclusively select only those orders which have a quoted volume<br />

which is significantly above average. This additional selection criteria is applied<br />

for two reasons: First, order aggressiveness is naturally l<strong>in</strong>ked to the size <strong>of</strong> the<br />

posted volume. For economic significance, it makes a difference whether a small or<br />

a <strong>high</strong> volume is quoted. For <strong>high</strong> volumes, the economic trade-<strong>of</strong>f between the<br />

costs <strong>of</strong> immediacy and the pick-<strong>of</strong>f risk is much more relevant than for small<br />

orders. Second, focuss<strong>in</strong>g exclusively on the big trades should reduce the noise <strong>in</strong><br />

the data and should help to identify dist<strong>in</strong>ct patterns and relationships. S<strong>in</strong>ce there<br />

is a natural trade-<strong>of</strong>f between focus<strong>in</strong>g on orders whose order volumes are on the<br />

one hand significantly above the average volume but, on the other hand, still<br />

Table 2 Classification <strong>of</strong> order aggressiveness at the ASX<br />

Aggressive buy order Quoted volume exceeds the first level <strong>of</strong> the stand<strong>in</strong>g ask volume<br />

Normal buy order Quoted volume does not exceed the first level <strong>of</strong> the stand<strong>in</strong>g<br />

ask volume<br />

Most aggressive ask<br />

order<br />

Limit price undercuts the current best ask price<br />

Aggressive ask order Limit price is at the current best ask price<br />

Normal ask order Limit price is above the current best ask price<br />

Cancelled ask order Cancellation <strong>of</strong> a stand<strong>in</strong>g ask order<br />

Aggressive sell order Quoted volume exceeds the first level <strong>of</strong> the stand<strong>in</strong>g bid volume<br />

Normal sell order Quoted volume does not exceed the first level <strong>of</strong> the stand<strong>in</strong>g<br />

bid volume<br />

Most aggressive bid<br />

order<br />

Limit price overbids the current best bid price<br />

Aggressive bid order Limit price is at the current best bid price<br />

Normal bid order Limit price is below the current best bid price<br />

Cancelled bid order Cancellation <strong>of</strong> a stand<strong>in</strong>g bid order

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