An Econometric Analysis of Nonsynchronous Trading

Cover An Econometric Analysis of Nonsynchronous Trading
An Econometric Analysis of Nonsynchronous Trading
Andrew W Andrew Wen Chuan Lo
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But if non-synchronicity is purposeful and informationally motivated then the subsequent serial dependence in asset returns may well be considered genuine, since it is the result of economic forces rather than mismeasurement. Although this is beyond the purview of the current framework it is nevertheless a fascinating avenue for future research and may yield an explanation for the recent empirical findings.
5. 4 - 24 - 4. 89 Appendix Proof of Proposition 2. 1: To derive (2. 10)-(2. 13), we requ
...ire the corresponding moments and co-moments of the Bernoulli variables X^ t (k). From Definition 2. 1 it follows that: E[X tt (k)} = (l- ft )P* (Al. L) E[Xl{k)\ = (l-p t )p* (A1. 2) for arbitrary i, t, and k. To compute E[X{ t (k)X^ t+n (l)}, recall from Definition 2. 1 that: X it{k)X tt+n {l) = (1 - ta)4t-i • • • S it-k • I 1 - S it+n) 5 it+n-l " ' * ^tt+n-/ ■ (^1-3) If / > n then E[X lt (k) X^ t+n (l)\ = since both 6 lt and 1 — 6 t( are included in the product (. 41. 3), hence the product is zero with probability one.

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