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The Derivation of 'Annuitisation Factors' to Convert Capital Costs to Tilted Annuities

This paper derives the formulae for calculating the tilted annuity for which the net present value of the post-tax cash flows over the life of the asset is equal to the initial investment. The tilted annuity differs from a constant annuity in that it increases or decreases over the life of the underlying asset. Straight line tax depreciation and diminishing value tax depreciation are both considered. The adjustment for when income receipts and tax payments occur at intervals more frequent than annual is also analysed.