https://www.insurerbrain.com/w/index.php?action=history&feed=atom&title=Wix%3ATraining%2FIFRS17%2FThe_economics_of_an_insurance_contract%2Fquiz 2026-06-10T22:34:09Z Revision history for this page on the wiki MediaWiki 1.43.8 https://www.insurerbrain.com/w/index.php?title=Wix:Training/IFRS17/The_economics_of_an_insurance_contract/quiz&diff=22579&oldid=prev 2026-03-31T16:03:56Z

<p>Created page with &quot;{{Quiz/start}} {{Quiz | topic = Anatomy of a premium | question = Sophie lives in a small coastal town in Brittany, France. She has just purchased a home insurance policy from AXA for an annual premium of €520. Which of the following best describes what the largest portion of Sophie&#039;s premium is designed to cover? | option_a = The commission paid to the broker who sold her the policy | option_b = The insurer&#039;s best estimate of the claims it...&quot;</p> <p><b>New page</b></p><div>{{Quiz/start}}<br /> <br /> {{Quiz<br /> | topic = Anatomy of a premium<br /> | question = Sophie lives in a small coastal town in Brittany, France. She has just purchased a home insurance policy from AXA for an annual premium of €520. Which of the following best describes what the largest portion of Sophie&#039;s premium is designed to cover?<br /> | option_a = The commission paid to the broker who sold her the policy<br /> | option_b = The insurer&#039;s best estimate of the claims it expects to pay on policies like hers<br /> | option_c = The profit the insurer hopes to earn from her contract<br /> | option_d = The tax charged by the French government on insurance products<br /> | correct_answer = b<br /> | explanation = The largest component of any premium is the expected claims cost (also called the pure premium or risk premium). Commissions and profit margins are real components, but they are typically much smaller than the expected claims portion.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Anatomy of a premium<br /> | question = AXA&#039;s actuaries estimate that across 8,000 similar home insurance policies in Brittany, the average annual claim cost per policy is €310. Expenses per policy are €110, the risk buffer is €50, and the target profit margin is €50. What is the total annual premium per policy?<br /> | option_a = €420<br /> | option_b = €470<br /> | option_c = €520<br /> | option_d = €360<br /> | correct_answer = c<br /> | explanation = The premium is the sum of all its components: €310 (expected claims) + €110 (expenses) + €50 (risk buffer) + €50 (profit margin) = €520. Leaving out any component would result in a premium that fails to cover the insurer&#039;s full economic needs.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Anatomy of a premium<br /> | question = A colleague tells Sophie that her €520 premium is simply &quot;the price of being covered,&quot; no different from paying for a streaming subscription. Why is this comparison misleading?<br /> | option_a = Because insurance premiums are always refundable if no claim is made<br /> | option_b = Because the premium is built on forward-looking assumptions that may turn out to be wrong, unlike a fixed service fee<br /> | option_c = Because the insurer does not actually set the premium; the regulator does<br /> | option_d = Because the premium only covers the insurer&#039;s expenses, not the claims<br /> | correct_answer = b<br /> | explanation = A streaming subscription is a fixed fee for a known service. A premium, by contrast, is an estimate built on assumptions about uncertain future events. If actual claims differ from expectations, the premium may prove too high or too low. This forward-looking uncertainty is what distinguishes it from a simple price.<br /> }}<br /> <br /> {{Quiz<br /> | topic = The timing mismatch and the time value of money<br /> | question = Sophie pays her €520 premium in January. A winter storm damages her roof in November, but the claim is not fully settled until March of the following year. What is the insurance term for this gap between premium collection and claims payment?<br /> | option_a = The coverage gap<br /> | option_b = The settlement period<br /> | option_c = The timing mismatch<br /> | option_d = The policy lag<br /> | correct_answer = c<br /> | explanation = The timing mismatch refers to the characteristic gap in insurance where premiums are received well before claims are paid. This distinguishes insurance from most other businesses where payment and delivery happen roughly simultaneously.<br /> }}<br /> <br /> {{Quiz<br /> | topic = The timing mismatch and the time value of money<br /> | question = Across all 8,000 Brittany policies, AXA collects premiums totalling €4.16 million in January. Claims are paid gradually over the following 12 months. What does AXA do with this pool of money in the interim?<br /> | option_a = It returns the unused portion to policyholders as a dividend each quarter<br /> | option_b = It holds the money in a non-interest-bearing government escrow account<br /> | option_c = It invests the money in bonds and other assets to earn a return while it waits to pay claims<br /> | option_d = It transfers the full amount immediately to a reinsurer for safekeeping<br /> | correct_answer = c<br /> | explanation = The pool of premiums held before claims are paid is known as the float. Insurers invest this float, typically in bonds and other assets, to earn investment income. The float is not free money, as it must eventually pay claims, but the returns it generates belong to the insurer.<br /> }}<br /> <br /> {{Quiz<br /> | topic = The timing mismatch and the time value of money<br /> | question = AXA estimates it will need to pay a large storm claim of €100,000 in exactly two years. If the annual interest rate is 4%, approximately how much does AXA need to set aside today to meet that obligation?<br /> | option_a = €100,000<br /> | option_b = €96,154<br /> | option_c = €92,456<br /> | option_d = €88,000<br /> | correct_answer = c<br /> | explanation = Using the discounting formula, the present value is €100,000 divided by (1.04)², which equals approximately €92,456. Setting aside the full €100,000 today would ignore the time value of money and overstate the current liability. The key insight is that a euro today is worth more than a euro in the future because it can be invested.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Where profit comes from<br /> | question = At year-end, the 8,000 Brittany policies generated total premiums of €4.16 million. Actual claims were €2.7 million and expenses were €880,000. What is the underwriting profit?<br /> | option_a = €1.46 million<br /> | option_b = €580,000<br /> | option_c = €400,000<br /> | option_d = €2.7 million<br /> | correct_answer = b<br /> | explanation = Underwriting profit equals premiums minus claims minus expenses: €4,160,000 - €2,700,000 - €880,000 = €580,000. This measures the profit from the insurance activity alone, before considering any investment returns on the float.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Where profit comes from<br /> | question = Now imagine a worse year: a series of severe Atlantic storms pushes actual claims on the Brittany portfolio to €3.5 million, with expenses still at €880,000. Total premiums remain €4.16 million, but the insurer also earned €300,000 in investment income on the float. Is AXA profitable on this portfolio overall?<br /> | option_a = No, because claims exceeded the expected claims cost and that always means a loss<br /> | option_b = No, because the combined ratio is above 100% and investment income cannot offset an underwriting loss<br /> | option_c = Yes, because the underwriting loss of €220,000 is more than offset by €300,000 of investment income, leaving a net profit of €80,000<br /> | option_d = Yes, because premiums still exceed claims, so there is no underwriting loss<br /> | correct_answer = c<br /> | explanation = The underwriting result is €4,160,000 - €3,500,000 - €880,000 = -€220,000, an underwriting loss. However, the €300,000 of investment income more than offsets this, leaving a total profit of €80,000. A combined ratio above 100% does not necessarily mean overall losses once investment returns are included.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Where profit comes from<br /> | question = A junior colleague reviews the Brittany portfolio&#039;s combined ratio of 105% and concludes that the portfolio is &quot;clearly unprofitable.&quot; What is the flaw in this reasoning?<br /> | option_a = The combined ratio cannot exceed 100% under French insurance regulations<br /> | option_b = A combined ratio above 100% means the insurer paid more in claims and expenses than it received in premiums, but investment income on the float may still produce an overall profit<br /> | option_c = The combined ratio only measures expenses, not claims, so it gives an incomplete picture<br /> | option_d = A combined ratio of 105% is actually considered excellent in the French market<br /> | correct_answer = b<br /> | explanation = The combined ratio measures claims and expenses as a percentage of premiums. When it exceeds 100%, it signals an underwriting loss. However, total profitability also depends on investment income. Ignoring the investment engine gives an incomplete and potentially misleading picture of the insurer&#039;s financial health.<br /> }}<br /> <br /> {{Quiz<br /> | topic = Where profit comes from<br /> | question = Reflecting on the full picture of Sophie&#039;s Brittany portfolio, which statement best captures why understanding the economics of an insurance contract matters before studying accounting standards?<br /> | option_a = Because accounting standards are optional for insurers that understand their own economics<br /> | option_b = Because the premium structure, the timing mismatch, and the two engines of profit are the economic realities that accounting standards attempt to represent on paper, so understanding them first makes the standards intuitive<br /> | option_c = Because accounting standards only deal with investment income, not underwriting, so the economics fill in the gap<br /> | option_d = Because regulators require all employees to pass an economics exam before working with financial statements<br /> | correct_answer = b<br /> | explanation = Accounting is an attempt to faithfully represent economic reality. Every rule in IFRS 17, from how premiums are recognised to how liabilities are discounted, traces back to the economics of the premium structure, the timing mismatch, and the dual sources of profit. Grasping these fundamentals first makes the accounting rules feel logical rather than arbitrary.<br /> }}<br /> <br /> {{Quiz/end}}</div>

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