Difference between revisions of "RBC for Holding Companies"
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| Line 24: | Line 24: | ||
'''Solution''': | '''Solution''': | ||
| − | We just need a couple of simple formulas. Let CV(subs) = carrying value of subsidiaries | + | We just need a couple of simple formulas. Let ''CV(subs) = carrying value of subsidiaries'' |
:{| class='wikitable' | :{| class='wikitable' | ||
|- | |- | ||
| − | | '''R<sub>1</sub> charge for holding company''' = market(HC) – CV(subs) | + | | '''R<sub>1</sub> charge for holding company''' = 0.225 x market(HC) – CV(subs) |
|} | |} | ||
| − | where | + | where 0.225 is the RBC factor and |
:{| class='wikitable' | :{| class='wikitable' | ||
| Line 37: | Line 37: | ||
| '''CV(subs)''' = Σ<sub>i</sub> [ (market(HC) x (ownership %) x (distribution)<sub>i</sub> ] | | '''CV(subs)''' = Σ<sub>i</sub> [ (market(HC) x (ownership %) x (distribution)<sub>i</sub> ] | ||
|} | |} | ||
| − | + | ||
| + | First calculate CV(subs) by summing across the 2 given subsidiaries: | ||
| + | |||
| + | : '''CV(subs)''' = [ 600 x 80% x 20% ] + [ 600 x 80% x 60% ] = <u>384</u> | ||
| + | |||
| + | The final answer is: | ||
| + | |||
| + | '''R<sub>1</sub> charge for holding company''' = 0.225 x 600 – 384 = <u>48.6</u> | ||
Revision as of 14:03, 8 September 2019
This is an example of how to calculate the R1 and R2 charges when the insurer owns shares in a holding company. Note: The calculation is essentially the same for R1 and R2. The only difference is that you use only fixed income assets for R1 and only equity assets for R2.
Given:
Here we calculate the R1 charge for holding companies because the table below only provides information about fixed income assets.
- market(HC) = 600 (market value of holding company HC)
- ownership % = 80% (insurer has 80% ownership in the holding company)
type of asset book value of asset
(fixed income)distribution subsidiary 1 100 20% subsidiary 2 300 60% cash 50 10% other assets 50 10%
Solution:
We just need a couple of simple formulas. Let CV(subs) = carrying value of subsidiaries
R1 charge for holding company = 0.225 x market(HC) – CV(subs)
where 0.225 is the RBC factor and
CV(subs) = Σi [ (market(HC) x (ownership %) x (distribution)i ]
First calculate CV(subs) by summing across the 2 given subsidiaries:
- CV(subs) = [ 600 x 80% x 20% ] + [ 600 x 80% x 60% ] = 384
The final answer is:
R1 charge for holding company = 0.225 x 600 – 384 = 48.6
