where:
x = original issue age;
k = the number of years from the date of issue to the beginning of the segment;
t = the number of years from the beginning of the segment
= 1, 2, ...; t is reset to 1 at the beginning of each segment;
GPx+k+t-1 = Guaranteed gross premium per thousand of face amount, ignoring policy fees only if level for the premium paying period of the policy, for year t of the segment.
However, if GPx+k+t is greater than 0 and GP x+k+t-1 is equal to 0, Gt shall be deemed to be 1000. If GPx+k+t and GPx+k+t-1 are both equal to 0, Gt shall be deemed to be 0.
however, Rt may be increased or decreased by one percent in any policy year, at the insurer's option, but Rt may not be less than one;
where:
x, k and t are as defined above, and
qx+k+t-1 = valuation mortality rate for deficiency reserves in policy year k+t but using the mortality of sub. (4) (b) 2. if sub. (4) (b) 3. is elected for deficiency reserves.
Note: The purpose of the one percent tolerance in the R factor is to prevent irrational segment lengths due to such things as premium rounding. For example, consider a plan in which gross premiums are designed at some point to be a ratio times the underlying ultimate mortality rates, where the ratio varies by issue age. The resulting segments may be greater than one year, because the gross premiums are not expressed in fractional cents. The tolerance factor allows the creation of one-year segments for a plan in which premiums parallel the underlying valuation mortality table.
Note: This paragraph defines the 1980 CSO valuation table without the existing 10 year select mortality factors to assure that, if select mortality factors are elected, only one set of factors may be applied to the base valuation mortality table.
Note: The segmentation requirement should not be limited to plans with no cash surrender values; otherwise companies could avoid segmentation entirely by designing policies with minimal (positive) cash values. Segmentation for plans with cash surrender values should be based solely upon gross premium levels. Basing segmentation upon the level of cash surrender values introduces complications because of the interrelationship between minimum cash surrender values and gross premium patterns. The requirements of this section relating to reserves or plans with unusual cash values and to reserves if cash values exceed calculated reserves serve to link required reserves and cash surrender values. The calculation of segmented reserves shall not be linked to the occurrence of a positive unitary terminal reserve at the end of a segment. The requirement of this section to hold the greater of the segmented reserve or the unitary reserve eliminates the need for any linkage.
Note: The purpose of this paragraph is to define as specifically as possible what has become commonly called the unitary method. The national association of insurance commissioners standard valuation law does not define the term unitary" for policies with nonlevel premiums or benefits; its requirements for reserves computed by a method that is consistent with the principles of the national association of insurance commissioners standard valuation law" has not been uniformly interpreted.
Note: The select mortality factors for durations 1 through 15 in the tables at pages 18 through 35 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in april 1999 reflect the society of actuaries' data for the years 1983 through 1986 (designated as 83-86 SOA inter-company experience" in the tables), split by sex and smoking status, with fifteen years of select mortality improvement, based on the society of actuaries' projection scale A applied. A 50% margin was added. The factors were then graded to the 1980 CSO valuation table over the next five durations. A 50% margin was deemed appropriate to provide a reasonable margin, with little likelihood that actual experience for significant blocks of business would exceed it.
Note: The select mortality factors in the tables at pages 18 through 35 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in April 1999 do not reflect the underwriting risk classes that have evolved since the period of the underlying experience. In light of this consideration, and the recent recognition of the regulatory value of actuarial opinions, this section allows actuarial judgement to be used for deficiency reserves.
Note: This section does not allow the use of the select mortality factors beyond the first segment. The rationale is that the result of a premium increase that is sufficient to require a new segment will be increased lapsation, leading to mortality deterioration after the increase. However, this section allows the use of the ten-year select mortality factors incorporated into the 1980 amendments to the national association of insurance commissioners standard valuation law, see s. 623.06(2) (am), Stats., beyond the first segment (but in no case beyond the tenth policy year) in recognition that the mortality deterioration is unlikely to occur to a significant degree within the first 10 years.
Note: This requirement is independent of both the segmentation process and the unitary process. After the greater of the segmented or the unitary reserve has been determined, then pars. (g), (h), and (i) impose an additional floor of the ultimate reserve. The purpose of pars. (g), (h) and (i) is to assure adequate funding of significant increases in guaranteed cash surrender values.
Note: Traditional reserves for yearly renewable term reinsurance, the calculations of which par. (j) describes, are already adequate and sufficient. However, without this option, yearly renewable term reinsurance would be subject to the more complex segmentation calculations.
Note: Traditional reserves for attained-age-based yearly renewable term policies, the calculations of which this paragraph describes, are already adequate and sufficient. However, without this option, these policies would be subject to the more complex segmentation calculations.
Note: Without this exemption, companies issuing certain n-year renewable term policies could be forced to hold reserves higher than n-year term reserves, even though in many cases gross premiums are well above valuation mortality rates.
Note: The jumping juvenile policy described has traditionally been valued in two segments. This exemption will allow that practice to continue without requiring the calculation of reserves on a unitary basis. However, within each segment, both basic and deficiency reserves shall comply with the segmented reserve requirements.
Note: The tables at pages 21 through 43 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in April 1999 contains tables of select mortality factors that are the bases to which the respective percentage of sub. (4) (a) 2., (b) 2., and 3. are applied. The 6 tables of select mortality factors include:
For sex-blended mortality tables, compute select mortality factors in the same proportion as the underlying mortality. For example, for the 1980 CSO-B Table, the calculated select mortality factors are 80% of the appropriate male table in the tables at pages 18 through 35 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in April 1999, plus 20% of the appropriate female table in the tables at pages 18 through 35 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in April 1999.
Section Ins 2.20 allows the use of sex-blended mortality table for the purposes of determining nonforfeiture values, but sex-blended tables are not allowed for the purposes of valuing minimum reserve liabilities under s. Ins 2.80 or s. 623.06, Stats.
Wis. Admin. Code Office of the Commissioner of Insurance Ins 2.80
Copies of the tables at pages 21 through 43 of the national association of insurance commissioners valuation of life insurance policies model regulation updated and published by the national association of insurance commissioners model regulation service in April 1999 for use with s. Ins 2.80, Wis. Adm. Code, are available from the Office of the Commissioner of Insurance, P.O. Box 1768, Madison WI 53707-7873 or from the OCI website: http://oci.wi.gov, at information for companies, OCI rule-making information.