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Pet Math Pro

Methodology · Overview

Pet Insurance Analysis Methodology

Reviewed by · Last reviewed .

Primary sources

Pet insurance industry data is sourced from NAPHIA (North American Pet Health Insurance Association), which publishes the annual State of the Industry Report including premium volume, policy count, claim frequency, and average claim size by species. NAPHIA represents >99% of the North American pet health insurance market.

NAIC (National Association of Insurance Commissioners) publishes loss ratio data for pet insurance carriers, which we use to validate our expected value model. A loss ratio of 70% means the insurer pays $0.70 in claims for every $1.00 in premium — the policy holder's expected value is $0.70 before any premium.

Expected value formula

Expected value of insurance = (claim probability × average claim payout × (1 - deductible rate) × reimbursement rate) - annual premium. For a dog owner paying $1,200/year with 15% annual claim probability, $3,000 average claim, 80% reimbursement after $250 deductible: EV = 0.15 × ($3,000 - $250) × 0.80 - $1,200 = $330 - $1,200 = -$870/year. Insurance is a loss on average — the value is in variance reduction (catastrophic event protection).

We model claim probability by age using NAPHIA frequency data: dogs <2 years: 20-25% annual claim rate (accidents, puppyhood illness); 2-7 years: 10-15%; 8-10 years: 30-40%; 11+ years: 50-60%. Cats are lower frequency across all age bands.

Deductible optimization

We compute the optimal deductible as the point where the premium savings from a higher deductible equals the expected additional out-of-pocket cost from claims. Lower deductibles increase premium substantially while not changing the probability of large claims — for large-claim protection, high-deductible plans are more capital-efficient.

Limitations

Breed-specific premiums are not modeled at this level of detail — premiums vary by breed, age, and location. Pre-existing conditions are typically excluded from coverage. Annual vs. per-incident deductibles significantly change the math — we model both. Wellness coverage (routine care) is actuarially unfavorable and modeled separately from accident/illness coverage.

Update protocol

This category is reviewed quarterly. Immediate updates are triggered by changes to the primary source documents listed in the citations above — rate table revisions, new agency guidance, or regulatory amendments.

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