Difference between revisions of "RBC for Holding Companies"

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| style='text-align: left;' | other assets  || 50    || 10%     
 
| style='text-align: left;' | other assets  || 50    || 10%     
 
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|- style='background-color: lightgrey; border-top: 2px solid;'
| style='text-align: left;' | TOTAL         || 500  || 100%  
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| style='text-align: left;' | '''TOTAL'''  || '''500'''   || '''100%'''
 
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:: ''Note that the TOTAL book value of 500 '''doesn't''' have to equal the total market value of 600.
  
 
'''Solution''':
 
'''Solution''':

Revision as of 14:15, 8 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) = 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%
TOTAL 500 100%
Note that the TOTAL book value of 500 doesn't have to equal the total market value of 600.

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

Then the final answer is:

R1 charge for holding company = 0.225 x [ 600 – 384 ] = 48.6