How to Calculate a Target Premium for a Life Insurance Policy

To calculate a target premium for a life insurance policy, first estimate the total cost needed to meet the desired death benefit and then divide that cost by the number of payment periods, adjusting for interest, expenses, and mortality assumptions.

Key Variables in Premium Calculation

Understanding the inputs ensures an accurate target premium:

• Death benefit amount: The lump‑sum payout the policy should provide.
• Policy term or duration: Number of years the coverage lasts.
• Interest rate (discount rate): Expected return used to present‑value future costs.
• Mortality table: Statistical data that estimates the likelihood of death at each age.
• Administrative expenses: Fixed costs charged by the insurer.
• Profit margin: Desired profit built into the premium.

Basic Formula

The simplest approach treats the premium as an annuity payment that funds the present value (PV) of the death benefit:

Target Premium = PV of Death Benefit ÷ Annuity Factor

Where:

• PV of Death Benefit = Death Benefit ÷ (1 + r)t, with *r* as the annual interest rate and *t* as the average years until claim.
• Annuity Factor = (1 - (1 + r)-n) ÷ r, with *n* as the number of premium payments.

Step‑by‑Step Calculation

1. Determine the present value of the benefit

Use the chosen discount rate to calculate how much the future death benefit is worth today. For example, a $500,000 benefit with a 4% discount rate and an expected claim in 15 years has a PV of $500,000 ÷ (1.04)15 ≈ $277,000.

2. Compute the annuity factor

If premiums are paid annually for 20 years, the factor is (1 - (1.04)-20) ÷ 0.04 ≈ 13.59.

3. Divide PV by the annuity factor

Target Premium = $277,000 ÷ 13.59 ≈ $20,400 per year.

Adjustments for Real‑World Policies

Most policies add layers to the basic formula:

• **Mortality loading:** Multiply the PV by a factor (e.g., 1.10) to reflect the insurer's mortality risk.
• **Expense loading:** Add a fixed dollar amount or percentage for administrative costs.
• **Profit loading:** Apply the insurer's target profit margin.

Applying a 10% mortality loading and a $200 expense loading to the example above yields a final premium of roughly $22,600 annually.

Quick Reference Table