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Modell<strong>in</strong>g f<strong>in</strong>ancial transaction price movements: a dynamic <strong>in</strong>teger count data model 171<br />

JBX HAL<br />

Fig. 2 Autocorrelation function <strong>of</strong> the transaction price changes for Jack <strong>in</strong> the Box Inc. (JBX)<br />

and HalliburtonpCompany ffiffiffi (HAL). The dashed l<strong>in</strong>es mark <strong>of</strong>f the approximate 99% confidence<br />

<strong>in</strong>terval 2:58 n<br />

The paper is organized as follows. In Section 2 the ICH model is <strong>in</strong>troduced<br />

<strong>in</strong> its basic form as a time series model, where we analyze the two components <strong>of</strong><br />

the price process separately. In Section 3 we augment the model by <strong>in</strong>troduc<strong>in</strong>g<br />

transaction volume and transaction time, which play a crucial role <strong>in</strong> the literature<br />

on market microstructure. We use the ICH model to check some popular hypotheses<br />

<strong>of</strong> market microstructure theory. In Section 4 we take a closer look on the<br />

overall price process <strong>of</strong> discrete price changes by density forecast methods which<br />

we extend to the case <strong>of</strong> discrete distributions. Section 5 concludes and gives an<br />

outlook on possible extensions.<br />

JBX HAL<br />

Fig. 3 Autocorrelation function <strong>of</strong> the squared transaction price changes for Jack <strong>in</strong> the Box<br />

Inc. (JBX) and Halliburton Company pffiffiffi<br />

(HAL). The dashed l<strong>in</strong>es mark <strong>of</strong>f the approximate 99%<br />

confidence <strong>in</strong>terval 2:58 n

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