Direct application of RATE for life insurance
Enter the payment amount, number of periods, and present value into Excel, then use =RATE(nper, pmt, pv, [fv], [type], [guess]) to compute the policy's implied interest rate. This single formula returns the periodic rate that equates cash flows to the policy's cash value.
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Key parameters for a typical policy
Life insurance calculations usually treat premiums as regular payments (pmt), the policy term as the number of periods (nper), and the death benefit as the future value (fv). Set type = 0 if premiums are paid at period end, or 1 for beginning‑of‑period payments.
Step‑by‑step example
Assume a 20‑year term policy with annual premiums of $1,200, a death benefit of $250,000, and a present value of $0 (no cash surrender value). In cells A1‑A4 enter:
- A1: 20 (nper)
- A2: -1200 (pmt, negative because it is an outflow)
- A3: 0 (pv)
- A4: 250000 (fv)
In cell A5 enter the formula =RATE(A1,A2,A3,A4,0)*100 to get the annual rate as a percentage. Excel returns approximately 4.86%.
Adjusting for payment frequency
If premiums are monthly, convert the annual rate by dividing nper by 12 and multiplying the result by 12, or use the RATE function with nper set to 240 (20 years × 12 months) and pmt set to the monthly amount.
Table of common scenarios
| Policy type | nper | pmt (sign) | fv | Resulting rate |
|---|---|---|---|---|
| 20‑yr term, annual | 20 | -1200 | 250000 | ≈4.86% |
| 20‑yr term, monthly | 240 | -100 | 250000 | ≈4.72% |
| Whole life, annual | 30 | -1500 | 300000 | ≈5.12% |