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2.5 Premium Determination for Life Insurance

Assumptions and Calculations​

In establishing life insurance premium rates, insurers rely on several foundational actuarial assumptions:

  • Premiums are paid in advance of the coverage period, allowing the insurer to hold and utilize the funds during the policy year.
  • Premiums will be invested and earn interest, which is factored into pricing to help offset projected claims and expenses.
  • Claims are paid at the end of the policy year, a simplifying assumption used in mortality and premium calculations to standardize actuarial projections.

These assumptions enable insurers to calculate premiums systematically and maintain financial stability while meeting anticipated obligations.

Factors in Premium Determination for Life Insurance​

Life insurance premiums are calculated using three primary actuarial components: mortality, interest, and expenses. These elements form the foundation of premium pricing across the industry.

Mortality​

Mortality represents the statistical probability of death within a specific group. Insurers rely on mortality tables to estimate the number of death claims expected each year. These tables indicate life expectancy and the death rate per 1,000 individuals within defined age groups.

By applying the law of large numbers, insurers can predict losses with reasonable accuracy when insuring large populations. Mortality rates increase with age; therefore, older applicants pay higher premiums. Mortality tables also reflect differences in life expectancy by gender. Historically, males have higher mortality rates than females, which generally results in higher premiums for male insureds of the same age and risk classification.

Interest​

Premiums are paid in advance, allowing insurers to invest those funds. Insurers assume a certain rate of interest earnings when calculating premiums. Because investment income helps offset future claim payments, higher assumed interest earnings reduce the amount of premium that must be charged to policyowners.

Expenses​

Expenses include the insurer's operational costs, such as administrative salaries, underwriting costs, commissions, marketing, and general business overhead. The portion of the premium allocated to cover these costs is known as the expense loading. Expense factors vary among insurers depending on operational efficiency and business structure.

Premium Formula​

Mortality – Interest + Expenses = Gross (Total) Premium

  • Mortality represents the cost of claims, interest reduces the required premium through investment earnings, and expenses are added to cover operational costs. The result is the total premium charged to the policyowner.

Premium Concepts​

Net Premium​

The net premium reflects only the fundamental cost of insurance protection. It is calculated using mortality assumptions and projected interest earnings, without including operating expenses.

Mortality – Interest = Net Premium

  • This represents the insurer's basic cost to fund expected claims after accounting for anticipated investment income.

Gross Premium​

The gross premium is the total amount charged to the policyowner. It includes the net premium plus additional charges to cover the insurer's operating expenses, commissions, administrative costs, and profit margin.

Net Premium (Mortality – Interest) + Expenses = Gross Premium

  • The gross premium is the amount actually paid by the insured.

Reclassification​

During the underwriting review, an underwriter may determine that the applicant's risk profile differs from what was initially assumed. As a result, the applicant may be reclassified into a different risk category. Reclassification can either increase or decrease the premium, depending on whether the risk is considered more or less favorable than originally assessed.

Policy Reserves​

Policy reserves represent funds set aside by the insurer to meet future policy obligations. Reserves are calculated using net premiums received plus accumulated interest earnings. These amounts are treated as liabilities on the insurer's financial statements because they reflect actual or potential obligations owed to policyowners.

Premium Payment Mode​

The premium payment mode refers to how often premiums are paid. Common payment frequencies include monthly, quarterly, semiannual, and annual.

Insurers typically apply additional charges to modes other than annual to compensate for increased administrative expenses and the loss of investment income that would have been earned if the full annual premium had been paid upfront.

As a result, the annual payment mode generally produces the lowest overall cost. The more frequently premiums are paid, the higher the total premium paid over the course of the year.

Quiz​

1. Which of the following actuarial assumptions is used when calculating life insurance premiums?

A. Claims are paid immediately upon policy issue

B. Premiums are paid in advance of the coverage period

C. Premiums are paid only after a loss occurs

D. Interest earnings are not considered in pricing

Correct Answer: B

Rationale: Life insurers assume premiums are paid in advance, allowing the company to invest funds during the coverage period. Investment earnings are factored into pricing, and claims are actuarially assumed to be paid at the end of the policy year for calculation purposes.

2. Which three primary factors are used to determine life insurance premiums?

A. Age, occupation, and marital status

B. Mortality, interest, and expenses

C. Income, assets, and liabilities

D. Health, residence, and credit score

Correct Answer: B

Rationale: Premium calculations are based on mortality (expected claims), interest (investment earnings on premiums), and expenses (operating costs). These three components form the standard premium formula used throughout the life insurance industry.*

3. If an insurer increases its assumed interest earnings in its pricing model, what effect will this generally have on premiums?

A. Premiums will increase

B. Premiums will remain unchanged

C. Premiums will decrease

D. Only expense charges will change

Correct Answer: C

Rationale: Higher assumed interest earnings reduce the amount of premium needed to cover expected claims because investment income offsets part of the mortality cost. Therefore, an increase in assumed interest generally results in lower required premiums.

4. What is the difference between net premium and gross premium?

A. Net premium includes expenses; gross premium does not

B. Gross premium includes mortality and interest only

C. Net premium reflects mortality minus interest; gross premium adds expenses

D. Gross premium excludes commissions and administrative costs

Correct Answer: C

Rationale: The net premium represents the cost of insurance protection based on mortality minus interest assumptions. The gross premium adds expense loading (administrative costs, commissions, and other operational expenses) to the net premium. The gross premium is the amount actually paid by the policyowner.

5. Which premium payment mode typically results in the lowest total annual cost?

A. Monthly

B. Quarterly

C. Semiannual

D. Annual

Correct Answer: D

Rationale: The annual mode results in the lowest total premium outlay because the insurer receives the full premium upfront, allowing maximum investment earnings and reducing administrative costs. More frequent payment modes (monthly, quarterly, semiannual) include additional charges to offset lost interest and increased administrative expenses.