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pirical research. 5 Us<strong>in</strong>g a unique database (for three stocks traded on the Xetra<br />

platform) conta<strong>in</strong><strong>in</strong>g records <strong>of</strong> all relevant events occurr<strong>in</strong>g <strong>in</strong> an automated<br />

auction system, we construct real time order book histories over a three-month<br />

period and compute time series <strong>of</strong> potential price impacts <strong>in</strong>curred by trad<strong>in</strong>g a<br />

given portfolio <strong>of</strong> assets. Based on this data we estimate liquidity adjusted measures<br />

and liquidity risk premiums for portfolios and s<strong>in</strong>gle assets. Our empirical<br />

results reveal a pronounced diurnal variation <strong>of</strong> liquidity risk which is consistent<br />

with predictions <strong>of</strong> microstructure <strong>in</strong>formation models. We show that, when assum<strong>in</strong>g<br />

an impatient trader’s perspective, account<strong>in</strong>g for liquidity risk becomes a<br />

crucial factor: the traditional (frictionless) measures severely underestimate the true<br />

risk <strong>of</strong> the portfolio.<br />

The rema<strong>in</strong>der <strong>of</strong> the paper is organized as follows: <strong>in</strong> Section 2, we provide<br />

background <strong>in</strong>formation about the Xetra system and describe our dataset. The<br />

empirical method is developed <strong>in</strong> Section 3. Results are reported <strong>in</strong> Section 4.<br />

Section 5 concludes and <strong>of</strong>fers possible new research directions.<br />

2 The dataset and the Xetra trad<strong>in</strong>g system<br />

P. Giot, J. Grammig<br />

In our empirical analysis we use data from the automated auction system Xetra<br />

which is employed at various European trad<strong>in</strong>g venues, like the Vienna Stock<br />

Exchange, the Irish Stock Exchange and the European Energy Exchange. 6 Xetra<br />

was developed and is ma<strong>in</strong>ta<strong>in</strong>ed by the German Stock Exchange and has operated<br />

s<strong>in</strong>ce 1997 as the ma<strong>in</strong> trad<strong>in</strong>g platform for German blue chip stocks at the<br />

Frankfurt Stock Exchange (FSE). Whilst there still exist market maker systems<br />

operat<strong>in</strong>g parallel to Xetra—the largest <strong>of</strong> which be<strong>in</strong>g the Floor <strong>of</strong> the Frankfurt<br />

Stock Exchange—the importance <strong>of</strong> those venues has been greatly reduced, especially<br />

regard<strong>in</strong>g liquid blue chip stocks. Similar to the Paris Bourse’s CAC and<br />

the Toronto Stock Exchange’s CATS trad<strong>in</strong>g system, a computerized trad<strong>in</strong>g protocol<br />

keeps track <strong>of</strong> entry, cancellation, revision, execution and expiration <strong>of</strong> market<br />

and limit orders. Until September 17, 1999, Xetra trad<strong>in</strong>g hours at the FSE<br />

extended from 8.30 A.M. to 5.00 P.M. CET. Beg<strong>in</strong>n<strong>in</strong>g with September 20, 1999<br />

trad<strong>in</strong>g hours were shifted to 9.00 A.M. to 5.30 P.M. CET. Between an open<strong>in</strong>g and a<br />

clos<strong>in</strong>g call auction—and <strong>in</strong>terrupted by another mid-day call auction—trad<strong>in</strong>g is<br />

based on a cont<strong>in</strong>uous double auction mechanism with automatic match<strong>in</strong>g <strong>of</strong><br />

orders based on clearly def<strong>in</strong>ed rules <strong>of</strong> price and time priority. Only round lot sized<br />

orders can be filled dur<strong>in</strong>g cont<strong>in</strong>uous trad<strong>in</strong>g hours. Execution <strong>of</strong> odd-lot parts <strong>of</strong><br />

an order (represent<strong>in</strong>g fractions <strong>of</strong> a round lot) is possible only <strong>in</strong> a call auction.<br />

Dur<strong>in</strong>g pre- and post-trad<strong>in</strong>g hours it is possible to enter, revise and cancel orders,<br />

but order executions are not conducted, even if possible.<br />

5 As mentioned above, this approach is valid for all order book markets. For automated auction<br />

markets which feature hidden orders, our approach delivers worst-case scenarios. This is however<br />

the best one can do as hidden orders are by def<strong>in</strong>ition not visible.<br />

6 Bauwens and Giot (2001) provide a complete description <strong>of</strong> order book markets and Biais et al.<br />

(1999) describe the open<strong>in</strong>g auction mechanism used <strong>in</strong> order book markets and correspond<strong>in</strong>g<br />

trad<strong>in</strong>g strategies. A lucid description <strong>of</strong> real world trad<strong>in</strong>g processes is found <strong>in</strong> Harris (2002).<br />

Further <strong>in</strong>formation about the organization <strong>of</strong> the Xetra trad<strong>in</strong>g process is provided <strong>in</strong> Deutsche<br />

Börse (1999).

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