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This is a really complex problem! It may help you to look at the documentation around the CapEx planning module as this is Oracle's take on calculating asset depreciation etc on a similar basis (create asset in BegBalance -> NoYear and calculate which periods to poulate depreciation data in using dates, variables and rules). The business rules are presented in full in the doc below but I warn you the code is complex and not easy to understand, although you may get the principles
You ought to be able to do something using dates and period / year indicies (remember dates are stored in Essbase in something like the format YYYYMMDD, e.g. 20121107 so should be easy to compare whether the date for the period is within range of the dates entered).
I have also tried to do something similar using smartlists in a prototype before but this proved a bit more complicated and not necessarily any more reliable than using dates
Hope this helps