(i) For simplicity of calculation in this Example 2, all financial flows are assumed to occur at the beginning of each period. USP is a U.S. automobile manufacturing company that has completed significant research on the development of diesel-electric hybrid engines that, if they could be successfully manufactured, would result in providing a significant increased fuel economy for a wide variety of motor vehicles. Successful commercialization of the diesel-electric hybrid engine will require the development of a new class of advanced battery that will be light, relatively cheap to manufacture and yet capable of holding a substantial electric charge. FS, a foreign subsidiary of USP, has completed significant research on developing lithium-ion batteries that appear likely to have the requisite characteristics. At the beginning of Year 1, USP enters into a CSA with FS to further develop diesel-electric hybrid engines and lithium-ion battery technologies for eventual commercial exploitation. Under the CSA, USP will have the right to exploit the diesel-electric hybrid engine and lithium-ion battery technologies in the United States, while FS will have the right to exploit such technologies in the rest of the world. The partially developed diesel-electric hybrid engine and lithium-ion battery technologies owned by USP and FS, respectively, are reasonably anticipated to contribute to the development of commercially exploitable automobile engines and therefore the rights in both these technologies constitute platform contributions of USP and of FS for which compensation is due under PCTs. At the time of inception of the CSA, USP owns operating intangibles in the form of self-developed marketing intangibles which have significant value in the United States, but not in the rest of the world, and that are relevant to exploiting the cost shared intangibles. Similarly, FS owns self-developed marketing intangibles which have significant value in the rest of the world, but not in the United States, and that are relevant to exploiting the cost shared intangibles. Although the new class of diesel-electric hybrid engine using lithium-ion batteries is not yet ready for commercial exploitation, components based on this technology are beginning to be incorporated in current-generation gasoline-electric hybrid engines and the rights to make and sell such products are transferred from USP to FS and vice-versa in conjunction with the inception of the CSA, following the same territorial division as in the CSA.
(ii) USP’s estimated RAB share is 66.7%. During Year 1, it is anticipated that sales in USP’s territory will be $1000X in Year 1. Sales in FS’s territory are anticipated to be $500X. Thereafter, as revenue from the use of components in gasoline-electric hybrids is supplemented by revenues from the production of complete diesel-electric hybrid engines using lithium-ion battery technology, anticipated sales in both territories will increase rapidly at a rate of 50% per annum through Year 4. Anticipated sales are then anticipated to increase at a rate of 40% per annum for another 4 years. Sales are then anticipated to increase at a rate of 30% per annum through Year 10. Thereafter, sales are anticipated to decrease at a rate of 5% per annum for the foreseeable future as new automotive drivetrain technologies displace diesel-electric hybrid engines and lithium-ion batteries. Total operating expenses attributable to product exploitation (including operating cost contributions) equal 40% of sales per year for both USP and FS. USP and FS estimate that the total market return on these routine contributions to the CSA will amount to 6% of these operating expenses. USP is expected to bear 2⁄3 of the total cost contributions for the foreseeable future. Cost contributions are expected to total $375X in Year 1 (of which $250X are borne by USP) and increase at a rate of 25% per annum through Year 6. In Years 7 through 10, cost contributions are expected to increase 10% a year. Thereafter, cost contributions are expected to decrease by 5% a year for the foreseeable future.
(iii) USP and FS determine the present value of the stream of FS’s reasonably anticipated residual divisional profit, which is the stream of FS’s reasonably anticipated divisional profit or loss, minus the market returns for routine contributions, minus operating cost contributions, minus cost contributions. USP and FS determine, based on the considerations discussed in paragraph (g)(2)(v) of this section, that the appropriate discount rate is 12% per year. Therefore, the present value of the nonroutine residual divisional profit in USP’s territory is $41,727X and in CFC’s territory is $20,864X.
(iv) After analysis, USP and FS determine that, in the United States the relative value of the technologies contributed by USP and FS to the CSA and of the operating intangibles used by USP in the exploitation of the cost shared intangibles (reported as equaling 100 in total), equals: USP’s platform contribution (59.5); FS’s platform contribution (25.5); and USP’s operating intangibles (15). Consequently, the present value of the arm’s length amount of the PCT Payments that USP should pay to FS for FS’s platform contribution is $10,640X (.255 × $41,727X). Similarly, USP and FS determine that, in the rest of the world, the relative value of the technologies contributed by USP and FS to the CSA and of the operating intangibles used by FS in the exploitation of the cost shared intangibles can be divided as follows: USP’s platform contribution (63); FS’s platform contribution (27); and FS’s operating intangibles (10). Consequently, the present value of the arm’s length amount of the PCT Payments that FS should pay to USP for USP’s platform contribution is $13,144X (.63 × $20,864X). Therefore, FS is required to make a net payment to USP with a present value of $2,504X ($13,144X − 10,640X).
(v) The calculations for this Example 2 are displayed in the following tables:
Calculation of USP’s PCT Payment to FS
Time Period (Y = Year) (TV = Terminal Value) | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | Y8 | Y9 | Y10 | TV |
Discount Period | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 9 |
[1] Sales | 1000 | 1500 | 2250 | 3375 | 4725 | 6615 | 9261 | 12965 | 16855 | 21912 | |
[2] Growth Rate | 50% | 50% | 50% | 40% | 40% | 40% | 40% | 30% | 30% | ||
[3] Exploitation Costs and Operating Cost Contributions (40% of Sales [1]) | 400 | 600 | 900 | 1350 | 1890 | 2646 | 3704 | 5186 | 6742 | 8765 | |
[4] Return on [3] = 6% of [3] | 24 | 36 | 54 | 81 | 113 | 159 | 222 | 311 | 405 | 526 | |
[5] Cost Contributions | 250 | 313 | 391 | 488 | 610 | 763 | 839 | 923 | 1015 | 1117 | |
[6] Residual Profit = [1] minus {[3] + [4] + [5]} | 326 | 552 | 905 | 1456 | 2111 | 3047 | 4495 | 6545 | 8693 | 11504 | 64287 |
[7] Residual Profit [6] Discounted at 12% discount rate | 326 | 492 | 722 | 1036 | 1342 | 1729 | 2277 | 2961 | 3511 | 4148 | 23183 |
[8] Sum of all amounts in [7] for all time periods = $41,727X | |||||||||||
Profit Split for Calculation of USP’s PCT Payment to FS: [Total of US contributions = 74.5%] | |||||||||||
[9] USP’s Platform Contribution = 59.5% | |||||||||||
[10] FS’s Platform Contribution = 25.5% | |||||||||||
[11] USP’s Operating Intangibles = 15% | |||||||||||
[12] USP’s PCT Payment to FS = [8] × [10] = $41,727X multiplied by 25.5% = $10,640X |
Calculation of FS’s Net PCT Payment to USF
Time Period (Y = Year) (TV = Terminal Value) | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | Y8 | Y9 | Y10 | TV |
Discount Period | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 9 |
[13] Sales | 500 | 750 | 1125 | 1688 | 2363 | 3308 | 4631 | 6483 | 8428 | 10956 | |
[14] Growth Rate | 50% | 50% | 50% | 40% | 40% | 40% | 40% | 30% | 30% | ||
[15] Exploitation Costs and Operating Cost Contributions (40% of Sales [13]) | 200 | 300 | 450 | 675 | 945 | 1323 | 1852 | 2593 | 3371 | 4382 | |
[16] Return on [15] = 6% of [15] | 12 | 18 | 27 | 41 | 57 | 79 | 111 | 156 | 202 | 263 | |
[17] Cost Contributions | 125 | 156 | 195 | 244 | 305 | 381 | 420 | 462 | 508 | 559 | |
[18] Residual Profit = [13] minus {[15] + [16] + [17]} | 163 | 276 | 453 | 728 | 1056 | 1524 | 2248 | 3272 | 4347 | 5752 | 32144 |
[19] Residual Profit [18] Discounted at 12% discount rate | 163 | 246 | 361 | 518 | 671 | 865 | 1139 | 1480 | 1755 | 2074 | 11591 |
[20] Sum of all amounts in [19] for all time periods = $20,864X | |||||||||||
Profit Split for Calculation of FS’s PCT Payment to USP: [Total of FS’s contributions = 37%] | |||||||||||
[21] USP’s Platform Contribution = 63% | |||||||||||
[22] FS’s Platform Contribution = 27% | |||||||||||
[23] FS’s Operating Intangibles = 10% | |||||||||||
[24] FS’s PCT Payment to USP = [20] × [21] = $20,864X multiplied by 63% = $13,144X | |||||||||||
[25] FS’s Net PCT Payment to USP = [24] minus [12] = $13,144X minus $10,640X = $2,504X |