Earned and Unearned Premiums – Quick Reference (Property & Casualty)

Key Concepts

• Earned vs unearned premium: earned premium accrues as time passes; unearned premium reserve (UPR) is a liability reflecting premium for the portion of coverage not yet expired. At any time: Earned Premiums + Unearned Premiums = Written Premium.
• Purpose: align revenue with the period of risk and expenses; UPR supports revenue recognition and loss/expense matching.
• NAIC SSAP framework (SSAP No. 53) governs recording and recognition of premium revenue and UPR for property and casualty contracts.
• In some lines or contracts, other terms exist (e.g., technical provisions) but concept remains the same: defer revenue until coverage is provided.

Definitions and Key Formulas

• Direct Written Premiums: premiums charged to insureds for coverage, include commissions, expenses, taxes, and profit.
• Assumed Reinsurance Premiums: premiums from policies accepted as reinsurer.
• Gross Written Premiums: Direct Written Premiums + Assumed Reinsurance Premiums.
• Ceded Reinsurance Premiums: premiums ceded to other (re)insurers.
• Net Written Premiums: Direct Written Premiums + Assumed Reinsurance Premiums − Ceded Reinsurance Premiums.
• Policies In-Force: policies active on a given date.
• Earned Premiums (per policy):
  $\text{Earned premiums} = \text{Policy premium} \times \frac{\text{Expired coverage days}}{\text{Total days in policy}}$
• Unearned Premiums (per policy):
  $\text{Unearned premiums} = \text{Policy premium} \times \frac{\text{Unexpired coverage days}}{\text{Total days in policy}}$
• Relationship: $\text{Earned premiums} + \text{Unearned premiums} = \text{Written Premium}$
• Net premium measure of retained exposure; surplus considerations used by regulators.
• Endorsements, audit premiums, and retrospective premiums affect timing of revenue and reserve calculations.

Calculation Concepts and Methods

• Pro rata methods (general): recognize premium over contract period; common approaches include monthly pro rata and daily pro rata.
• Monthly Pro Rata Method:
  • Year divided into 24 equal parts; first and last month earn only 1/24 each; total earned premium spread over 13 months.
  • For 1-year policies, December-written policies show up to 23/24 unearned at year-end; other months adjust by the month written.
  • For multi-year policies (2- or 3-year), denominator changes to 48 or 72 respectively.
  • Rule of 78’s variations and mean-of-methods may be used in certain lines (see Exhibit guidance in text).
• Daily Pro Rata Method:
  • More precise: multiply in-force premium by daily fraction of unexpired days to total days.
  • Generally preferred when policy-level data and automation exist; yields closer alignment with actual risk exposure.
• Rule of 78’s (Sum of the Years’ Digits):
  • Front-loads earned premium; used for certain A&H and policy types; unearned premium factors follow patterns like 12/78, 11/78, …, 1/78 (monthly).
  • For monthly Rule of 78’s: Unearned Premium Factor for month m = (13 − m)/78.
  • Mean of Pro Rata and Rule of 78’s can be used as a compromise.
• For long-term contracts (e.g., title, mortgage, or other specialized lines), SSAPs specify distinct methods and components for reserving (e.g., title SPR/UPR components).
• For multi-year or adjustable contracts, premium amortization may be tied to the pattern of insurance protection provided or to estimated ultimate exposure.

In-Force vs Direct Methods (Premium Data Configuration)

• In-Force Method:
  • Determine full-term premium for each policy not expired at period end; endorsements are treated as if they occurred at the beginning.
  • In-force Premiums = Beginning-of-period gross in-force, plus new written (net of cancellations), plus excess of full-term premiums over amounts received, minus premiums on expired policies, minus premiums written on expired policies, minus ceded reinsurance, and minus excess of full-term over ceded premiums.
  • Historically used for annual statements; now often supplanted by direct data in automated systems.
• Direct Method:
  • Amortize full-term premiums for each policy directly; endorsements processed as separate transactions without retroactive adjustment to the original term.
  • No need to compute in-force premiums; simpler with computer systems.
• EBUB/EBNR (Audit Premiums):
  • Estimated audit premiums (earned but unbilled) are recorded as liabilities; adjust to revenue when audits settle.
  • Later adjustments can increase or decrease revenue depending on audit results.

Special Premium Types and Considerations

• Audit Premiums (EBUB/EBNR): SSAP No. 53 requires estimation and subsequent true-up; include premium taxes and commissions liabilities.
• Policy Cancellations: remove in-force premium from in-force data when canceled.
• Endorsements: may create return premiums or additional premiums; handled as adjustments.
• Retrospectively Rated Policies (SSAP No. 66):
  • Premium adjustments based on actual loss experience; two primary methods to compute retrospective adjustments: Inventory Method (risk-level, detailed) and Projection Method (actuarial modeling).
  • Balance sheet reporting includes accrued retrospective debits/credits; nonadmitted assets may apply under collateral rules.
• Home Warranty and Mechanical Breakdown (SSAP No. 65): reserve tests; minimum UPRs based on tests for the most recent policy years.
• Ocean Marine: voyage-based earning; unearned premium reserve held until voyage completion; adjustments for partial credits when vessel is idle.
• Surety Bonds: upfront or periodic premiums; earn pro rata over estimated term; indefinite terms may use two-year period for earning.
• Financial Guaranty Insurance (SSAP No. 60): monthly pro rata if installment; otherwise pro rata based on coverage period.

Line-Specific and Other Premium Practices

• Title Insurance (SSAP No. 57): SPR/UPR with multiple components; amortization over specified periods; special components tied to policy write date and post-2001 policies.
• Mortgage Guaranty (SSAP No. 58): premium plans (monthly, annual, single); deferral and amortization aligned with risk expiration.
• Accident & Health (SSAP No. 54R, 59): A&H reserves include UPR as part of policy reserves; multiple methods allowed (pro rata, Rule of 78’s, mean pro rata, actuarial) depending on contract type and refund methods.
• Credit Life and A&H (SSAP No. 59): options for UPR amortization; rules for single-premium policies issued after 2002 include standardized morbidity factors.
• Policy Configuration and Reporting: data grouping by line, expiration month/year, policy year, geography, and other factors to support MIS and statutory reporting (ISO/NAII data feeds).

Reinsurance and Premium Undertakings

• Prospective Reinsurance Agreements (SSAP No. 62R): premiums ceded reduce both written and earned premium; amortization occurs over the contract period in proportion to protection or to the reinsurer’s maximum liability.
• Reinstatement Premium: amortized over the period from reinstatement to contract expiration.
• In accounting for reinsurance, adjustments flow through the UPR or written premiums as appropriate.

Practical Insights and Accuracy Checks

• Practicalities:
  • The daily method is increasingly prevalent due to automation, but many products require specialized treatment.
  • Different lines and contract types may require different reserve methodologies; the MIS must support policy-level data.
• Tests for accuracy (guidance):
  • When net written premiums are stable, earned premiums should be stable-to-slightly lower than written premiums.
  • If net written premiums grow, the ratio of earned to written premiums should remain relatively constant (usually below 1).
  • Audit and retrospectively rated premiums affect comparisons because they are often earned without an UPR.
  • Shifts to shorter renewal periods generally reduce UPR, but may be offset by lower written premiums.
  • Seasonal or product mix changes can affect UPR levels; monitor product mix, markets, and reinsurance changes.

Quick Reference Formulas and Guidelines

• Unearned Premiums per policy:
  $\text{Unearned Premiums} = \text{Policy premium} \times \frac{\text{Unexpired days}}{\text{Total days in policy}}$
• Earned Premiums per policy:
  $\text{Earned Premiums} = \text{Policy premium} \times \frac{\text{Expired days}}{\text{Total days in policy}}$
• Relationship:
  $\text{Earned premiums} + \text{Unearned premiums} = \text{Written Premium}$
• Rule of 78’s (monthly) unearned premium factor for month m (January = 1):
  $\text{UPR factor} = \frac{13 - m}{78}$
• Mean of Pro Rata and Rule of 78’s: use as an approximate blended method where applicable.
• Retrospective premium accounting: use Inventory or Projection method; disclose methods and amounts in notes to financial statements.

Summary Takeaways

• Unearned premium reserves are substantial but determinable liabilities used to defer revenue until coverage is provided.
• Daily pro rata methods are common due to automation, but various specialized lines require tailored approaches (Rule of 78’s, mean of pro rata, actuarial methods).
• The choice of method is influenced by data availability, system capabilities, and the contract type; management information systems should accommodate policy-level data for accurate UPR.
• Audits, endorsements, retrospective adjustments, and reinsurance all affect the timing and measurement of earned vs unearned premiums and must be consistently disclosed and implemented.