Every answer and its explanation appears here once you have finished the path. Each one then links to the matching glossary entry, where the concept is set out in full with its worked example.
1. A committee buys a fifty percent quota share to cushion an exceptional loss on its account. What does it actually get?
An account half the size and the same ratio: a quota share divides good and bad results by the same number, it transfers volume and not peak
A portfolio losing fifteen points of combined ratio still loses fifteen after a half quota share, on an account half the size: RELATIVE volatility does not move, and that is what the committee thought it was buying. The answer on volatility confuses dispersion in euros, which does fall, with dispersion in ratio points, which does not, and that confusion sells quota shares for the wrong reasons. The one seeing protection up to the ceded share describes how a layer works. The one on commission treats a refund of expenses as a reduction in loss experience: the commission covers acquisition costs already incurred, it does not improve a technical ratio.
Glossary entry →2. A young, fast growing company places a large quota share. What is most often the real reason for buying?
Financing the capital requirement: ceding a share of the portfolio reduces earned premium and reserves carried by as much, hence the margin requirement, which allows more to be written
The three real uses of a quota share are capital financing, entering a new line and reciprocity, and it is the first that explains most placements by a growing company: the constraint binding it is margin, more than risk. The answer on mispricing describes an understandable motive that a quota share does not serve, since it shares the mispricing both ways without correcting it. The one on capacity lends a quota share the mechanism of a surplus treaty, which varies the cession rate risk by risk; a quota share also widens lines, but that is seldom why a growing company buys one. The one on stabilizing results repeats the error the previous question rules out, a quota share stabilizing no ratio.
Glossary entry →3. A reinsurer declines to renew a quota share. What should be concluded, and why is the conclusion stronger here than elsewhere?
Something about the portfolio and not about its appetite: under a pure quota share both ratios are equal by construction, so it cannot lose where the cedant gains, nor the reverse
Alignment of interests is a quota share's most useful and least understood property: no other structure guarantees that both parties win and lose together. A declination therefore says something the cedant should hear. The answer on the reinsurer's solvency describes a possible and rare cause, and it is comfortable because it moves the problem elsewhere. The one on commission confuses a price disagreement, which shows up as a counter-offer, with a refusal. The one seeing nothing particular treats a proportional treaty as an interchangeable commodity, when it is the only one where the reinsurer cannot protect itself through structure.
Glossary entry →4. Two treaties show the same thirty percent cession rate. Why can they produce very different accounts?
Because of the base: written or earned premiums, underwriting year or accident year, external claims handling costs included or not. A rate is never read alone
The rate says what fraction leaves, and the base says of what: two treaties described by the same percentage can therefore bear on quantities with no common measure. The three other answers name real but minor parameters. The inception date changes the temporal scope and is in any case read in the definition of the base. The number of reinsurers splits one cession without changing its total. Account frequency moves cash balances without changing the year's result. None of the three changes what the thirty percent applies to.
Glossary entry →5. A cedant bears twenty-eight percent of acquisition and handling costs and receives a twenty-six percent reinsurance commission. What does the cession really cost it that year?
Two points on the ceded premiums, and that is the real cost of the cession: the commission does not refund all the expenses incurred on the share that leaves
The cedant paid its expenses on one hundred percent of premiums and recovers a fraction only on what it cedes: the gap between the real expense rate and the commission rate is the price of the operation, and it is counted on ceded premiums. The answer seeing nothing confuses the commission's intention, covering expenses, with its outcome, which is negotiated and rarely lands exactly. The one applying the gap to total premiums widens the base to a share on which no commission is due. The one making the two ratios diverge picks the wrong quantity: under a pure quota share the loss ratios stay equal, and the commission acts on the technical account rather than on them.
Glossary entry →