This example, which uses the risk-based aggregation method, illustrates, as did example 3, the implications of using a full-integration or a pro-rata approach. Paragraphs 28-37 of the Capital Adequacy Principles paper provide guidance to supervisors on these issues. At the same time, it shows the application of a notional capital proxy to an undercapitalised unregulated entity whose business activities are similar to those of the regulated entities, as described in paragraph 25 of the paper.
The existence of solo requirements should normally prevent deficits at solo level in firms of the group. In cases where one entity of the group has a solo deficit, supervisors should consider whether excess capital in other firms of the group can cover such solo deficit. In the following example this excess capital is needed to cover notional deficits in an unregulated entity.
Parent
| Capital | 100 |
| Capital requirement | 75 |
| Participation | 25 (historic cost) |
Subsidiary 1 (50% participation)
| Capital | 60 |
| - equity | 50 |
| - reserves | 10 |
| Capital requirement | 10 |
| SOLO SURPLUS | 50 |
Group
| Pro rata aggregation | Full aggregation |
| Capital parent | 100 | 100 |
| Capital subsidiary | 30 (50% of 60) | 60 |
| Capital requirement | | |
| - parent | -75 | -75 |
| - subsidiary | -5 (50% of 10) | -10 |
| Participation | -25 (book value) | -25 |
| GROUP SURPLUS | 25 | 50 |
The surplus at group level stems exclusively from the partly-owned subsidiary. However, in the event that the parent also had a participation in an undercapitalised unregulated entity, the group position would be as follows:
Unregulated Subsidiary 2 (100% participation)
| Capital | 20 |
| - equity | 10 |
| - reserves | 10 |
| Notional capital requirement | -50 |
| Notional solo deficit | -30 |
Group
| Pro rata aggregation | Full aggregation |
| Capital | 150 | 180 |
| - parent | 100 | 100 |
| - subsidiary 1 | 30 (50% of 60) | 60 |
| - subsidiary 2 | 20 (100% of 20) | 20 |
| Capital requirements | -130 | -135 |
| - parent | -75 | -75 |
| - subsidiary 1 | -5 | -10 |
| - subsidiary 2 | -50 | -50 |
| Participation 1 | -25 | -25 |
| Participation 2 | -10 | -10 |
| GROUP SURPLUS | -15 | 10 |
Under the full integration approach, the surplus in subsidiary 1 is regarded as available to the group as a whole and it thus more than compensates for the deficit in subsidiary 2. The pro-rata approach on the other hand, only takes account of that part of the surplus in subsidiary 1 which is attributable to the parent and, as shown, this is not sufficient to offset the deficit in subsidiary 2 and the parent would either have to reduce its own risks, to increase its own capital or to renounce to the acquisition of the second firm.