Reduced Balance depreciation reducing on aniversary of asset and not fiscal year

Good day,

I need assistance on a reduced balance depreciation method please. The calculation needs to be based on the periods of the asset and not the fiscal year, i.e.:

DPIS = Jun2015

Fiscal year = Jan - Dec 

The basis for the calculation in the above example should only be reduced in Jun2016 (1yr of asset) and not in Jan2016 (Fiscal year). I have seen some solutions here but it seems to be in line with the Fiscal year rather than the asset period. The basis should be the same for Jun2015 to May2016 and then only reduced by the accumulated depreciation to that point.