Annualization in MDX - mdx

Question

Introduction
Currently I'm doing a maintenance job on a measure which annualizes another (YTD) measure. The granularity of measures is month. The annualization works fine on month level, but when we use parents in the date hierachy the calculation does not work.
It should work like this:
MeasureAnnualized = YTDMeasure * (CurrentMonth / 12)
CurrentMonth is implemented as
ClosingPeriod([Date].[DateHierarchy].[Month], [Date].[DateHierarchy]).MemberValue
On month level this works fine:
Month MeasureYTD MeasureAnnualized ClosingPeriod
july -50 -85,71 7
august -60 -90,00 8
september (null) (null) 9
But on a higher level in the DateHierarchy this does not work. For instance on Quarter level:
Quarter MeasureYTD MeasureAnnualized ClosingPeriod
3 -60 -80,00 (should be : -90,00) 9 (should be: 8)
As you can see, it picks the ClosingPeriod of quarter 3 (=9) whereas this should be the last "non-empty" ClosingPeriod (=8). The same applies to Year level:
Year MeasureYTD MeasureAnnualized ClosingPeriod
2016 -60 -60,00 (should be : -90,00) 12 (should be: 8)
The question therefore is: how can I get this ClosingPeriod to be the last Period in which the YTD measure is not (null)?

Answer 1

In the definition on msdn of ClosingPeriod it gives an equivalent nested version of the same logic:
Tail(Descendants(Member_Expression, Level_Expression), 1)
The below is similar to this with an added NonEmpty:
WITH
MEMBER Measures.[LastNonEmpty] AS
Tail
(
NonEmpty
(
(EXISTING
[Date].[Calendar].[Month])
,[Measures].[Internet Sales Amount]
)
,1
).Item(0).MemberValue
SELECT
Measures.[LastNonEmpty] ON 0
,[Date].[Calendar].[Calendar Year].MEMBERS ON 1
FROM [Adventure Works];
It returns the following: