Attachment 1
Description of Computational Methods
CARVM-UMV
Step 1: For each duration and each benefit at which an index-based benefit is available, determine the market value of the appropriate call option. The appropriate call option is one that exactly hedges the floor of the benefit at that point in time. This means that the payoff of the call option should exactly equal the difference between the specific benefit available at that point in time (reflecting all relevant contract features) and the guaranteed floor of that benefit. The market value should be determined using an appropriate option pricing technique, such as Black-Scholes or a stochastic scenario method.
Step 2: The market value of all of the call options are projected forward at the appropriate valuation interest rate to the point in time at which the call option would expire. The valuation interest rate should be consistent with the requirements of any applicable Actuarial Guidelines or regulations, such as Actuarial Guideline 33 or Actuarial Guideline 9-B.
Step 3: The future guaranteed benefits for each benefit at each time point are determined by adding the guaranteed floors of the benefit to the amounts determined in Step 2.
Step 4: Now a CARVM calculation can be performed. The CARVM calculation should be in accordance with Actuarial Guideline 33 and any other applicable regulations or Actuarial Guidelines.
MVRM
Step 1: Calculate the projected index value at the end of the "term" which would produce a benefit at the end of the "term" equal to the sum of (1) the contract guarantee at that time, and (2) the current market value of the call option(s) which would fully hedge the index-based benefit, accumulated at the appropriate valuation interest rate. This calculation should be performed assuming equal annual percentage increases in the index. The call options used are those with maturity dates coterminous with the setting of participation rates, spread, or any other method of determining index-based benefits. The valuation interest rate used to accumulate the call options should be consistent with the requirements of any applicable Actuarial Guidelines or regulations, such as Actuarial Guideline 33 or Actuarial Guideline 9-B. Note that the "term" referred to above should be consistent with the "term" described in Actuarial Guideline ZZZ.
Step 2: From the current level of the index and the projected level of the index at the end of the term, calculate an implied compound constant growth rate of the index from the valuation date to the end of the term. Use this implied growth rate to project the level of the index at intermediate anniversaries.
Step 3: All annuity benefits can now be determined from the index levels.
Step 4: Now a CARVM calculation can be performed. The CARVM calculation should be in accordance with Actuarial Guideline 33 and any other applicable regulations or Actuarial Guidelines.
EDIM
Step 1: The Fixed Component at issue is the formula reserve produced by either CARVM-UMV or MVRM. The Fixed Component at the end of the term is the floor of the benefit actually being hedged.
Step 2: The intermediate values of the Fixed Component are found by solving for an interest rate that would accumulate the initial value to the ending value. For example, assume you purchase options assuming that 90% of policyholders will surrender at maturity, and that 10% of policyholders will annuitize at maturity. The Fixed Component is the sum of (1) 90% of the Fixed Component that grows to the floor of the surrender benefit; and (2) 10% of the Fixed Component that grows to the floor of the annuitization benefit.
Step 3: The Equity Component is equal to the discounted intrinsic value of the options. The discounted intrinsic value of the options is found by taking the intrinsic value at the valuation date, and discounting at the valuation rate for the number of years from the valuation date to the end of the term. The valuation interest rate used to discount the intrinsic value of the call options should be consistent with the requirements of any applicable Actuarial Guidelines or regulations, such as Actuarial Guideline 33 or Actuarial Guideline 9-B.
Step 4: The reserve is the sum of a Fixed Component and an Equity Component.
Attachment 3
Reasonableness of Assumptions Certification
The following certification must be filed in conjunction with each quarterly and annual statutory financial statement filed with the appropriate regulatory official in each state in which the insurer does business. The certification must be signed by the appointed actuary.
I, (state name and professional designation), am the appointed actuary for (company name). I have reviewed the assumptions underlying the values assigned to all equity options used in the determination of the initial statutory reserves under the Enhanced Discounted Intrinsic Method for all equity indexed deferred annuity products issued or reinsured by (company name) and reported in the statutory financial statement as of (the date of valuation). The assumptions used to determine such option market values are reasonable in light of the relevant economic conditions prevalent at the time of issue of each policy valued using the Enhanced Discounted Intrinsic Method.
_________________________________________
(Name of actuary)
_________________________________________
(Signature of actuary)
_________________________________________
(Date of certification)
The following certification must be filed in conjunction with each quarterly and annual statutory financial statement filed with the appropriate regulatory official in each state in which the insurer does business. The certification must be signed by the appointed actuary.
I, (state name and professional designation), am the appointed actuary for (company name). I have reviewed the assumptions underlying the values assigned to all equity options used in the determination of statutory reserves for all equity indexed annuity products issued or reinsured by (company name) insurance company and reported in the statutory financial statement as of (the date of valuation). The assumptions used to determine such option market values are:
________________________________________
(Name of actuary)
________________________________________
(Signature of actuary)
________________________________________
(Date of certification)
Attachment 2
Hedged as Required Criteria
In order to use a Type 1 computational method, the appointed actuary needs to certify quarterly that it meets the following criteria.
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