Difference between revisions of "RBC for Holding Companies"

From BattleActs
Jump to navigation Jump to search
Line 41: Line 41:
 
:{| class='wikitable'
 
:{| class='wikitable'
 
|-
 
|-
| '''CV(subs)''' &nbsp; = &nbsp; &Sigma;<sub>i</sub> [ (market(HC) x (ownership %) x (distribution)<sub>i</sub> ]
+
| '''CV(subs)''' &nbsp; = &nbsp; &Sigma;<sub>i</sub> [ (market(HC) x (distribution)<sub>i</sub> ]
 
|}
 
|}
  

Revision as of 12:28, 14 September 2019

This is an example of how to calculate the R1 and R2 holding company 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) = 750 (market value of holding company HC)
  • ownership % = 80% (insurer has 80% ownership in the holding company)
  • table showing the fixed income assets for the holding company HC:
type of asset book value of asset
(fixed income)
distribution
subsidiary 1 100 20%
subsidiary 2 275 55%
cash 75 15%
other assets 50 10%
TOTAL 500 100%
* Note that the TOTAL book value of 500 doesn't have to equal the total market value of 750.

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) ] x ( ownership % )
where 0.225 is the RBC factor and
CV(subs)   =   Σi [ (market(HC) x (distribution)i ]

First calculate CV(subs) by summing across the 2 given subsidiaries:

CV(subs) = [ 750 x 20% ] + [ 750 x 55% ] = 562.5

Then the final answer is:

R1 charge for holding company = 0.225 x [ 750 – 562.5 ] x 80% = 33.75

(if the calculated value is negative then the RBC charge is 0)