We study the development of an emerging market - the Budapest Stock Exchang
e - by investigating the time evolution of some statistical properties of h
eavily traded stocks. Moving quarter by quarter over a period of two and a
half years we analyze the scaling properties of the standard deviation of i
ntra-day log-price changes. We observe scaling using both seconds and ticks
as units of time. For the investigated stocks a Levy shape is a good appro
ximation to the probability density function of tick-by-tick log-price chan
ges in each quarter: the index of the distribution follows an increasing tr
end, suggesting it could be used as a measure of market efficiency. (C) 199
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