Actuarial Notes

Risk Sharing Pool

Study guide: Exam 6C

A Risk Sharing Pool (RSP) is a mechanism that lets an automobile insurer transfer a policy it is compelled to write — but believes is underpriced at the approved rate — into an industry pool, without the policyholder's knowledge and at no change to the policyholder's premium. The insurer keeps the customer relationship and the servicing; the pool takes the underwriting result, shared among all insurers by market share.

\text{Ceded to pool: premium and losses; retained: the customer}

  • Why it exists. The Take-All-Comers Rule obliges an insurer to write any applicant meeting its filed rules at its filed rates. Where rate regulation holds those rates below cost for part of the risk spectrum, the pool prevents that obligation from concentrating losses on whichever insurer happened to receive the application.
  • Mechanics. The insurer cedes the policy within a limited window after issue, subject to a cession limit — typically a maximum percentage of its own book — so the pool cannot become a dumping ground for everything unprofitable. Premium and losses transfer; results are allocated to all members by voluntary market share.
  • The key contrast with FARM: the RSP is invisible to the policyholder, who pays a normal rate through a normal insurer; FARM business is written by the Facility Association at its own, much higher, rates and the driver knows.
  • The cession decision is an actuarial one. The insurer cedes where its own estimate of expected loss exceeds the approved premium net of the pool's terms — so pool volume is a direct measurement of the gap between filed rates and expected costs.
  • Criticism. Cost is socialised without any price signal reaching the driver, so the risk is never priced to the person creating it; and the pool's existence relieves some of the pressure that would otherwise force rates to adequacy. Its defenders reply that in a compulsory, rate-regulated market the alternative is not accurate pricing but insurer withdrawal.
  • Watch pool volume the way one watches Residual Market share: growth means the approved rate structure is drifting away from cost.

Should the Policy Be Ceded? An insurer must write a driver at its approved rate of \$1{,}450. Its own model puts the expected loss and LAE at \$1{,}680, with fixed expenses of \$180 regardless of cession. Ceding transfers premium and losses to the pool, but the insurer retains a servicing allowance of 12\% of premium and its share of the pool result is 2.4\% of the industry total. The pool's overall expected loss ratio is 118\%.

Should the insurer cede?

Answer Retain. The insurer keeps the premium and the losses:

\begin{align*}
\text{Result} &= \$1{,}450 - \$1{,}680 - \$180 \\
&= -\$410
\end{align*}

Cede. The insurer keeps a servicing allowance and takes only its market-share slice of this policy's contribution to the pool's result:

\begin{align*}
\text{Servicing allowance} &= 0.12 \times \$1{,}450 = \$174 \\[4pt]
\text{Pool result on this policy} &= \$1{,}450 - \$1{,}680 = -\$230 \\[4pt]
\text{Insurer's share} &= 0.024 \times (-\$230) = -\$5.52 \\[4pt]
\text{Result} &= \$174 - \$180 - \$5.52 \\
&= -\$11.52
\end{align*}

Ceding improves the outcome by roughly \$398, so the insurer cedes — subject to its cession limit, which is why limits exist at all.

What the numbers show about the system. The insurer's decision rule is simply "cede whenever expected loss exceeds the approved premium," so the pool collects exactly the business the rate regime underprices. Its 118\% loss ratio is therefore not a failure of the pool; it is a measurement of rate inadequacy, socialised across the industry. Every insurer pays its market-share slice of that 18 points, including those who never received such an application — which is the design, and the criticism, in the same sentence.