I have a few questions about how to measure the investment return of insurance companies, especially property/casualty insurers.
There are many choices:
Return on assets (RoA)
Return on net assets (RoNA)
Return on capital (RoC)
Return on invested capital (RoIC)
Return on equity (ROE)
Then let's go into more detail:
1. The numerator:
A few things to consider: investment income earned, realized capital gains, unrealized capital gains, capital gains tax, income tax.
2. The demonstrator:
There are several alternatives: invested admitted assets, invested assets(include non-admitted assets), total admitted assets, total assets(include non-admitted assets),surplus and capital(include capital in unearned premium reserves),... And another question is about the timing of measurements above: at the beginning of the year, by the end of the year, or average of the beginning and end of the year (average seems like a more popular choice)
If I want to compare the investest return with market return such as T-bill bonds, market indexes, I am considering:
(investment income earned+realized capital gains+unrealized capital gains)/average invested assets?
or
(investment income earned+realized capital gains+unrealized capital gains)/invested assets at the beginning of year (so it is similar to [Divdt(t)+P(t)-P(t-1)]/P(t-1)?
But I am not sure if there is any better choices.
An early (1994) reference :http://www.soa.org/library/proceedings/record-of-the-society-of-actuaries/1990-99/1994/january/rsa94v20n210.aspx