The following examples illustrate impairment calculations using pre- and post-tax cash flows and discount rates. (a) Comparing pre- and post-tax rates An entity has invested CU2,139 in a facility with a 10 year useful life. Revenue and operating costs are expected to grow by 5% annually. The net present value of the post-tax future cash flows, discounted at the WACC of 8.1%, is equal to the cost of the plant. The budgeted pre-tax cash flows are as follows: Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | CU | Revenues | 500 | 525 | 551 | 579 | 608 | 638 | 670 | 703 | 739 | 776 | Operating expenses | (200) | (210) | (220) | (232) | (243) | (255) | (268) | (281) | (296) | (310) | Pre-tax cash flow | 300 | 315 | 331 | 347 | 365 | 383 | 402 | 422 | 443 | 466 |
The following tax amortisation and tax rate apply to the business: Tax and accounting depreciation | straight line | Tax rate | 30% |
These apply to the budgeted cash flows as follows: Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | CU | Tax amortisation | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | Taxation | (26) | (30) | (35) | (40) | (45) | (51) | (56) | (62) | (69) | (75) | Post-tax cash flow | 274 | 285 | 296 | 307 | 320 | 332 | 346 | 360 | 374 | 391 |
The pre-tax rate can be calculated using an iterative calculation and this can be compared to a gross up using the standard rate of tax. The NPV using these two rates is as follows: Pre-tax rate (day 1) - iterative calculation | 10.92% | Cost of investment at NPV future cash flows | CU2,139 | Standard gross up (day 1) (8.1% ÷ 70%). | 11.57% | NPV at standard gross up | CU2,077 |
The NPV of the pre-tax cash flows at 11.57% is CU2,077. This is only 2.9% lower than the number calculated using the true pre-tax rate. In many circumstances, this difference would not have a material effect. If the tax and accounting depreciation are straight line then the distortion introduced by a standard gross-up can be relatively small and could be of less significance to an impairment test than, for example, the potential variability in cash flows. See also section 7.2.4 below. (b) Comparing pre- and post-tax rates when the asset is impaired Assume that the facility is much less successful than had previously been assumed and that the revenues are 20% lower than the original estimates. The pre- and post-tax cash flows are as follows: Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | CU | Revenues | 400 | 420 | 441 | 463 | 486 | 511 | 536 | 563 | 591 | 621 | Operating expenses | (200) | (210) | (220) | (231) | (243) | (256) | (268) | (282) | (296) | (311) | Pre-tax cash flow | 200 | 210 | 221 | 232 | 243 | 255 | 268 | 281 | 295 | 310 | Tax amortisation | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | 214 | Taxation | 4 | 1 | (2) | (5) | (9) | (12) | (16) | (20) | (24) | (29) | Post-tax cash flow | 204 | 211 | 219 | 227 | 234 | 243 | 252 | 261 | 271 | 281 |
The asset is clearly impaired as the previous cash flows were just sufficient to recover the carrying amount of the investment. If these revised cash flows are discounted using the pre- and post-tax discount rates discussed above, the resulting impairment is as follows: | | NPV | Impairment | Deferred tax | Net loss | | | CU | CU | CU | CU | Original investment | | 2,139 | | | | Pre-tax cash flows, discounted at pre-tax discount rate | 10.92% | 1,426 | 713 | 214 | 499 | Post-tax cash flows discounted at post-tax discount rate | 8.1% | 1,569 | 570 | 171 | 399 |
Unless adjustments are made to the post-tax calculation, it will understate the impairment loss by 143 (pre-tax) and 100 (post-tax, assuming full provision for the deferred tax asset). This difference is the present value of the deferred tax on the actual impairment loss, a point explored in more detail in (d) below. (c) Impairment and variable tax cash flows The assumption of straight-line amortisation for taxation and accounting purposes does not reflect the circumstances of certain sectors, particularly where there are significant deductions for tax for the cost of the asset being tested for impairment, e.g., in the extractive sector. Impairment tests have to be calculated on assets with finite useful lives and variable tax cash flows. In many jurisdictions there are, or have been, substantial tax allowances for the construction of the asset but high rates of tax in the production phase. The following example assumes that the entity gets a tax deduction for the cost of the asset in year 1. Once again, this assumes that in year 1 the cost of the investment is equal to the NPV of the cash flows. Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | CU | Revenues | 500 | 525 | 551 | 579 | 608 | 638 | 670 | 704 | 739 | 776 | Operating expenses | (200) | (210) | (220) | (232) | (243) | (255) | (268) | (281) | (296) | (310) | Pre-tax cash flow | 300 | 315 | 331 | 347 | 365 | 383 | 402 | 422 | 443 | 465 | Tax amortisation | 2,367 | | | | | | | | | | Taxation | 620 | (95) | (99) | (104) | (109) | (115) | (121) | (127) | (133) | (140) | Post-tax cash flow | 920 | 220 | 232 | 243 | 256 | 268 | 281 | 295 | 310 | 325 |
Assuming the same post-tax WACC of 8.1%, the pre-tax WACC is now considerably lower owing to the effect of the tax deduction in the first year. It can be calculated using an iterative process at 8.76%, rather than 10.92%, which is the pre-tax rate in (a) and (b) above. Therefore, the NPV of the pre- and post-tax cash inflows is CU2,367 rather than CU2,139 - the first year tax allowances enhance the VIU of the project. If the entity discounted the pre-tax cash flows at 11.57%, the post-tax rate grossed up at the standard rate of taxation, these cash flows would have a NPV of CU2,077, which is approximately 12% lower than the actual NPV. It is clear that a standardised gross up will not give a reasonable approximation in these circumstances. (d) Correctly measuring impairment using post-tax information If an entity applies a post-tax rate to post-tax cash flows, what can it do to ensure that impairment is correctly measured in accordance with IAS 36? Assume, in example (c) above, that cash inflows decline by 20% commencing at the beginning of year 2. The net present value of the pre-tax cash flows at 8.76% is CU1,516. Year | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | Pre-tax cash flow | 210 | 221 | 232 | 243 | 255 | 268 | 281 | 295 | 310 | Taxation | (63) | (66) | (69) | (73) | (77) | (80) | (84) | (89) | (93) | Post-tax cash flows | 147 | 155 | 163 | 170 | 178 | 188 | 197 | 206 | 217 |
The asset’s book value at the end of year 1, assuming straight line depreciation over 10 years, is CU2,130. Impairment calculated using pre-tax cash flows and discount rates is as follows: | | CU | Original investment | | 2,367 | Net book value (end of year 1) | | 2,130 | Pre-tax cash flows, discounted at pre-tax discount rate | 8.76% | 1,516 | Impairment | | 614 | Deferred tax asset (reduction in deferred tax liability) | | (184) | Net impairment loss | | 430 |
A post-tax calculation overstates the impairment, as follows: | | CU | Original investment | | 2,367 | Net book value (end of year 1) | | 2,130 | Post-tax cash flows, discounted at post-tax discount rate | 8.1% | 1,092 | Impairment - overstated by 424 | | 1,038 | Deferred tax asset (reduction in deferred tax liability) | | (311) | Net impairment loss - overstated by 297 | | 727 |
It can be seen that unless adjustments are made to the post-tax calculation, it will overstate the impairment loss. There are two ways in which the post-tax calculation can be adjusted so as to give the right impairment charge. Method (1): Post-tax cash flows based on notional tax cash flows. The assumptions that need to be made are the same as those used in calculating a pre-tax discount rate. Therefore, there must be no temporary differences associated with the asset which means including only the future cash flows that would result if the tax base of the asset were equal to its VIU. This means assuming that the VIU of the asset (1,516) is deductible for tax purposes in year 2. This would usually be calculated iteratively. Year | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | Pre-tax cash flow | 210 | 221 | 232 | 243 | 255 | 268 | 281 | 295 | 310 | Deemed tax amortisation | 1,516 | | | | | | | | | Taxation | 392 | (66) | (69) | (73) | (77) | (80) | (84) | (89) | (93) | Post-tax cash flows | 602 | 155 | 163 | 170 | 178 | 188 | 197 | 206 | 217 |
The present value of the notional post-tax cash flows at the post-tax discount rate of 8.1% is now CU1,516, i.e., the VIU of the asset is fully deductible for tax purposes, so the impairment charge, before taxation, is CU614, which is the same impairment as calculated above under the pre-tax cash flow model. Method (2): Post-tax cash flows reflecting actual tax cash flows as adjusted for deferred tax. Again, this is an iterative calculation. Year | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | CU | CU | CU | CU | CU | CU | CU | CU | CU | Pre-tax cash flow | 210 | 221 | 232 | 243 | 255 | 268 | 281 | 295 | 310 | Deferred tax | (455) | | | | | | | | | Taxation | (63) | (66) | (69) | (73) | (77) | (80) | (84) | (89) | (93) | Post-tax cash flows | 147 | 155 | 163 | 170 | 178 | 188 | 197 | 206 | 217 | Post-tax cash flows as adjusted for deferred tax | 602 | 155 | 163 | 170 | 178 | 188 | 197 | 206 | 217 |
The net present value of the post-tax cash flows at the post-tax discount rate is CU1,092. The NPV of the post-tax cash flows as adjusted for deferred tax (see bottom line in the table), which is the VIU of the asset being tested for impairment, is CU1,516 and the gross deferred tax liability relating to the asset is 1,516 at 30%, i.e., CU455. The NPV of CU455, discounted for one year at the post-tax discount rate of 8.1%, is CU424. The deferred tax liability is discounted for one year due to the assumption used that all tax cash flows take place at the end of the year. Revised, the post-tax calculation is as follows: | | CU | Original investment | | 2,367 | Net book value (end of year 1) | | 2,130 | Post-tax cash flows, discounted at post-tax discount rate | 8.1% | 1,092 | Discounted deferred tax | | 424 | Impairment (2,130 - (1,092 + 424)) | | 614 |
The impairment loss will impact the deferred tax calculation in the usual way, i.e., 614 at 30% = CU184. |