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	📋 '''Probable maximum loss curve (PML curve)''' is a graphical ~~and analytical tool~~ used in insurance and [[Definition:Reinsurance \| reinsurance]] ~~to depict the relationship between loss severity and the probability of~~ that ~~loss~~ ~~being exceeded for a given portfolio, location, or risk. Rather than presenting a single~~ loss ~~estimate,~~ ~~the~~ ~~curve maps a continuum: at~~ ~~each~~ [[Definition:Return period \| return ~~period~~]] or [[Definition:Exceedance probability \| exceedance ~~probability~~]] ~~along~~ ~~the~~ ~~horizontal~~ ~~axis,~~ the ~~corresponding~~ ~~point~~ on ~~the~~ ~~curve~~ ~~shows~~ ~~the~~ probable maximum loss ~~amount~~ on ~~the~~ ~~vertical~~ ~~axis.~~ ~~This~~ ~~makes~~ it an ~~indispensable~~ ~~output~~ of ~~[[Definition:Catastrophe~~ ~~model~~ \| ~~catastrophe~~ ~~models]]~~ ~~and~~ a ~~central~~ ~~reference~~ ~~point~~ in [[Definition:Catastrophe risk \| catastrophe risk]] management, [[Definition:Reinsurance \| reinsurance]] purchasing, and [[Definition:Capital management \| capital ~~allocation~~]] ~~decisions across the global insurance industry~~.		📈 '''Probable maximum loss curve''' ('''PML curve''') is a graphical representation used in insurance and [[Definition:Reinsurance \| reinsurance]] that plots estimated loss amounts against their associated [[Definition:Return period \| return periods]] or [[Definition:Exceedance probability \| exceedance probabilities]], providing a comprehensive view of how the severity of potential losses escalates as events become rarer. Unlike a single [[Definition:Probable maximum loss (PML) \| probable maximum loss]] estimate — which captures exposure at one selected return period — the full curve maps the entire tail of the loss distribution, making it an essential tool for [[Definition:Catastrophe risk \| catastrophe risk]] management, [[Definition:Reinsurance \| reinsurance]] purchasing, and [[Definition:Capital management \| capital planning]].

	⚙️ ~~Generating~~ a PML curve begins with ~~running thousands — often hundreds of thousands — of simulated loss scenarios through~~ a [[Definition:Catastrophe model \| catastrophe model]] ~~such as those~~ developed by vendors ~~like~~ [[Definition:RMS \| RMS]], [[Definition:~~AIR Worldwide~~ \| ~~AIR~~]], or [[Definition:CoreLogic \| CoreLogic]]. ~~Each~~ ~~simulated~~ ~~event~~ ~~produces~~ a ~~loss~~ ~~outcome~~ ~~for~~ ~~the portfolio under~~ ~~analysis~~, and ~~the~~ ~~full~~ ~~set~~ of ~~outcomes~~ is ~~ranked~~ to ~~construct~~ an ~~[[Definition:Exceedance~~ ~~probability~~ ~~curve~~ \| ~~exceedance~~ ~~probability]]~~ ~~distribution.~~ ~~The~~ ~~resulting~~ ~~curve~~ ~~might~~ ~~show,~~ ~~for~~ ~~example~~, ~~that~~ a ~~$200~~ ~~million~~ ~~loss~~ ~~has~~ a 1% ~~annual~~ ~~probability~~ of ~~being~~ ~~exceeded~~ (a 1-in-100-~~year~~ ~~event~~), while a ~~$500~~ ~~million~~ loss ~~has~~ a 0.4% ~~probability~~ ~~(1-in-250-year).~~ ~~Insurers~~ ~~and~~ ~~reinsurers~~ ~~reference~~ ~~specific~~ points on the curve — ~~commonly~~ ~~the~~ ~~1-in-100,~~ ~~1-in-200,~~ and 1-~~in-250 return periods — to set~~ [[Definition:~~Reinsurance~~ ~~program~~ \| reinsurance ~~program~~]] ~~limits~~, ~~determine~~ [[Definition:~~Attachment~~ ~~point~~ \| ~~attachment~~ ~~points~~]], and ~~satisfy~~ [[Definition:~~Regulatory capital~~ \| ~~regulatory capital~~]] ~~requirements~~. Under [[Definition:Solvency II \| Solvency II]], the 1-in-200 year loss is the ~~standard~~ ~~for~~ the [[Definition:Solvency capital requirement (SCR) \| solvency capital requirement]], ~~while other regimes and [[Definition:Rating agency \| rating agencies]] may anchor their assessments to different points on the curve~~.		🔍 Constructing a PML curve typically begins with a [[Definition:Catastrophe model \| catastrophe model]] — developed by vendors such as [[Definition:Moody's RMS \| Moody's RMS]], [[Definition:Verisk \| Verisk]], or [[Definition:CoreLogic \| CoreLogic]] — that simulates thousands of potential events (hurricanes, earthquakes, floods, and other [[Definition:Peril \| perils]]) against an insurer's specific portfolio of exposures. Each simulated event generates a loss estimate; when these losses are rank-ordered and plotted against their probability of occurrence, the result is the PML curve. The x-axis usually shows the return period (e.g., 1-in-100 years, 1-in-250 years) or the annual exceedance probability, while the y-axis shows the corresponding loss in monetary terms. Different layers of the curve inform different decisions: points lower on the curve guide [[Definition:Facultative reinsurance \| facultative]] and lower-layer [[Definition:Excess of loss reinsurance \| excess-of-loss]] purchases, while the extreme tail informs [[Definition:Catastrophe bond \| catastrophe bond]] structuring and regulatory [[Definition:Solvency \| solvency]] assessments. Under [[Definition:Solvency II \| Solvency II]], for instance, the 1-in-200 year loss figure from the curve feeds directly into the [[Definition:Solvency capital requirement (SCR) \| solvency capital requirement]] calculation.

			🏦 For carriers, reinsurers, and [[Definition:Insurance-linked securities (ILS) \| ILS]] investors alike, the PML curve is the lingua franca of catastrophe risk communication. When a cedent approaches the reinsurance market, the curve allows [[Definition:Reinsurance broker \| reinsurance brokers]] and capacity providers to quickly understand the shape and severity of the portfolio's tail risk and to price [[Definition:Reinsurance treaty \| treaties]] accordingly. Rating agencies such as [[Definition:AM Best \| AM Best]] and [[Definition:S&P Global Ratings \| S&P Global Ratings]] scrutinize PML curves when assessing an insurer's [[Definition:Enterprise risk management (ERM) \| enterprise risk management]] framework. In an era of evolving climate patterns and increasing [[Definition:Loss accumulation \| loss accumulations]], the reliability and assumptions underlying these curves face growing scrutiny — making model governance, blending of multiple vendor outputs, and sensitivity analysis around the PML curve a boardroom-level concern for any insurer with material catastrophe exposure.
	💡 The PML curve's power lies in its ability to communicate complex risk information in a format that [[Definition:Underwriter \| underwriters]], chief risk officers, board members, and regulators can interpret and act upon. A steep curve — where losses escalate rapidly as return periods extend — signals high tail risk and concentrated exposure, often prompting the purchase of additional [[Definition:Excess of loss \| excess-of-loss]] reinsurance or the deployment of [[Definition:Insurance-linked securities (ILS) \| insurance-linked securities]]. A flatter curve suggests more diversified or attritional risk. Comparing PML curves across perils (hurricane, earthquake, flood), across geographies, or before and after portfolio changes gives decision-makers a dynamic view of how risk accumulates and how mitigation strategies perform. In practice, PML curves are presented to [[Definition:Rating agency \| rating agencies]] like [[Definition:AM Best \| AM Best]] and [[Definition:S&P Global Ratings \| S&P]] as part of enterprise risk assessments, and they feature prominently in [[Definition:Catastrophe bond \| catastrophe bond]] offering documents where investors need to understand the probability of attachment and expected loss.

	'''Related concepts:'''		'''Related concepts:'''
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	* [[Definition:Probable maximum loss (PML)]]		* [[Definition:Probable maximum loss (PML)]]
	* [[Definition:Catastrophe model]]		* [[Definition:Catastrophe model]]
	* [[Definition:Exceedance probability ~~curve~~]]		* [[Definition:Exceedance probability]]
	* [[Definition:Aggregate exceedance probability (AEP)]]		* [[Definition:Aggregate exceedance probability (AEP)]]
	* [[Definition:Return period]]		* [[Definition:Return period]]
	* [[Definition:~~Tail~~ ~~value~~ ~~at risk~~ (~~TVaR~~)]]		* [[Definition:Solvency capital requirement (SCR)]]
	{{Div col end}}		{{Div col end}}

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2026-03-16T08:54:48Z

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📋 '''Probable maximum loss curve (PML curve)''' is a graphical and analytical tool used in insurance and [[Definition:Reinsurance | reinsurance]] to depict the relationship between loss severity and the probability of that loss being exceeded for a given portfolio, location, or risk. Rather than presenting a single loss estimate, the curve maps a continuum: at each [[Definition:Return period | return period]] or [[Definition:Exceedance probability | exceedance probability]] along the horizontal axis, the corresponding point on the curve shows the probable maximum loss amount on the vertical axis. This makes it an indispensable output of [[Definition:Catastrophe model | catastrophe models]] and a central reference point in [[Definition:Catastrophe risk | catastrophe risk]] management, [[Definition:Reinsurance | reinsurance]] purchasing, and [[Definition:Capital management | capital allocation]] decisions across the global insurance industry.

⚙️ Generating a PML curve begins with running thousands — often hundreds of thousands — of simulated loss scenarios through a [[Definition:Catastrophe model | catastrophe model]] such as those developed by vendors like [[Definition:RMS | RMS]], [[Definition:AIR Worldwide | AIR]], or [[Definition:CoreLogic | CoreLogic]]. Each simulated event produces a loss outcome for the portfolio under analysis, and the full set of outcomes is ranked to construct an [[Definition:Exceedance probability curve | exceedance probability]] distribution. The resulting curve might show, for example, that a $200 million loss has a 1% annual probability of being exceeded (a 1-in-100-year event), while a $500 million loss has a 0.4% probability (1-in-250-year). Insurers and reinsurers reference specific points on the curve — commonly the 1-in-100, 1-in-200, and 1-in-250 return periods — to set [[Definition:Reinsurance program | reinsurance program]] limits, determine [[Definition:Attachment point | attachment points]], and satisfy [[Definition:Regulatory capital | regulatory capital]] requirements. Under [[Definition:Solvency II | Solvency II]], the 1-in-200 year loss is the standard for the [[Definition:Solvency capital requirement (SCR) | solvency capital requirement]], while other regimes and [[Definition:Rating agency | rating agencies]] may anchor their assessments to different points on the curve.

💡 The PML curve's power lies in its ability to communicate complex risk information in a format that [[Definition:Underwriter | underwriters]], chief risk officers, board members, and regulators can interpret and act upon. A steep curve — where losses escalate rapidly as return periods extend — signals high tail risk and concentrated exposure, often prompting the purchase of additional [[Definition:Excess of loss | excess-of-loss]] reinsurance or the deployment of [[Definition:Insurance-linked securities (ILS) | insurance-linked securities]]. A flatter curve suggests more diversified or attritional risk. Comparing PML curves across perils (hurricane, earthquake, flood), across geographies, or before and after portfolio changes gives decision-makers a dynamic view of how risk accumulates and how mitigation strategies perform. In practice, PML curves are presented to [[Definition:Rating agency | rating agencies]] like [[Definition:AM Best | AM Best]] and [[Definition:S&P Global Ratings | S&P]] as part of enterprise risk assessments, and they feature prominently in [[Definition:Catastrophe bond | catastrophe bond]] offering documents where investors need to understand the probability of attachment and expected loss.

'''Related concepts:'''
{{Div col|colwidth=20em}}
* [[Definition:Probable maximum loss (PML)]]
* [[Definition:Catastrophe model]]
* [[Definition:Exceedance probability curve]]
* [[Definition:Aggregate exceedance probability (AEP)]]
* [[Definition:Return period]]
* [[Definition:Tail value at risk (TVaR)]]
{{Div col end}}

Definition:Probable maximum loss curve (PML curve) - Revision history

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