Welcome to the final lesson in our module on General Insurance and Reinsurance. In our previous session, we confronted the immense challenge posed by catastrophe and accumulation risks, identifying them as low-frequency, high-severity threats that can undermine an insurer's solvency. We concluded that while underwriting controls and exposure management are vital, the ultimate backstop for these extreme risks is risk transfer.
Today, we will explore that mechanism in detail. This lesson is dedicated to reinsurance, often described as "insurance for insurance companies." Our goal is to explain the fundamental purpose of reinsurance and to map out its principal structures. By the end of our session, you will be able to distinguish between different types of reinsurance arrangements, such as proportional and non-proportional, and understand when and why each is used. This knowledge is crucial for actuaries, as reinsurance is a primary lever in managing capital, volatility, and risk appetite.
The Purpose of Reinsurance: Why Insurers Share Risk
At its core, reinsurance allows an insurance company (the "ceding company" or "cedent") to transfer a portion of its risk portfolio to another specialized company (the "reinsurer"). This isn't done out of charity; it's a strategic transaction with clear financial and operational benefits.
While we've already touched upon this, let's formalize the key motivations for an insurer to purchase reinsurance.
[PDF] The essential guide to reinsurance | Swiss Re
This guide from Swiss Re, a leading global reinsurer, provides an excellent and clear explanation of the value reinsurance creates for primary insurers.
Please read the section "What motivates clients to buy reinsurance?" and the subsequent subsections detailing the benefits. Start from the heading Benefits for clients and continue through "Reducing claims volatility," "Providing capital relief," and "Advisory expertise," stopping before the section on benefits for society. As you read, focus on these core functions: How reinsurance reduces the volatility of an insurer's financial results. How it acts as a form of capital, freeing up resources for the insurer. The role of the reinsurer as a source of knowledge and expertise.
The reading highlights the main strategic functions of reinsurance. In practice, these translate into several key objectives:
- Increase Capacity: Reinsurance allows a primary insurer to underwrite larger individual risks or a greater volume of business than its own capital base would prudently support. For example, an insurer might only be comfortable retaining a risk of £10 million on a single factory, but with reinsurance, it can issue a policy for £100 million, ceding £90 million of that risk.
- Stabilize Financial Results: This is a crucial point. By ceding a portion of their risk, insurers smooth their loss experience from year to year. It protects them from the random fluctuations of claims, especially the impact of large, unexpected losses. This makes their earnings more predictable and the company more attractive to investors.
- Catastrophe Protection: As we discussed in the last lesson, this is a primary driver. Reinsurance protects an insurer's balance sheet against a single, massive event (like a hurricane or earthquake) that causes a multitude of claims simultaneously.
- Capital Management (Surplus Relief): Regulatory regimes require insurers to hold capital against the risks they underwrite. By transferring risk to a reinsurer, the primary insurer reduces its own risk exposure and, consequently, its capital requirement. This "freed-up" capital can then be used to write more business (growth) or be returned to shareholders.
- Access Expertise & Services: When an insurer enters a new market or a new line of business, it may lack the necessary underwriting or pricing expertise. A reinsurer with global experience in that specific area can provide invaluable data, pricing tools, and advice.
- Facilitate Market Exit: An insurer wishing to withdraw from a particular line of business can use reinsurance to transfer the entire portfolio of existing policies and their associated liabilities to a reinsurer, achieving a clean exit.
The Structure of Reinsurance: A Framework
Now that we understand why insurers use reinsurance, let's explore how it is structured. Reinsurance arrangements can be classified along two key axes, creating a simple but powerful hierarchy for understanding the different types.

Let's break down this structure, starting with the first level of classification.
1. The Basis of the Agreement: Facultative vs. Obligatory (Treaty)
This first distinction is about how risks are selected for reinsurance. It defines the nature of the relationship and obligation between the cedent and the reinsurer.
This short video from the P & C Insurance Helpline provides a very clear, high-level explanation of the difference between Treaty and Facultative reinsurance.
Please watch the segment from Treaty vs. Facultative. The speaker clearly articulates the difference between covering a whole class of risk versus a single, specific risk.
To build on the video's explanation:
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Facultative Reinsurance: This is reinsurance on a case-by-case basis. The primary insurer offers an individual risk (e.g., a specific power plant or a large construction project) to one or more reinsurers. The insurer has the "faculty" (option) to offer the risk, and each reinsurer has the faculty to accept or decline it. This is the oldest form of reinsurance.
- Use Case: For very large, complex, or unusual risks that do not fit into pre-existing agreements, or for risks that are specifically excluded from an insurer's main reinsurance program.
- Drawback: It is administratively slow and expensive, as each risk must be individually underwritten and negotiated.
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Obligatory Reinsurance (or Treaty Reinsurance): This is the workhorse of the reinsurance world. The insurer and reinsurer agree on a contract (a "treaty") that covers a broad portfolio or class of business (e.g., "all UK motor policies" or "all US homeowners policies").
- Under the treaty, the insurer is obligated to cede all risks that fall within the treaty's scope, and the reinsurer is obligated to accept them automatically.
- Use Case: Provides broad, automatic protection for an insurer's standard business, enabling efficient risk management and administration.
2. The Method of Sharing Risk: Proportional vs. Non-Proportional
This second distinction is about how the money flows—how premiums and losses are divided. Both facultative and treaty arrangements can be structured as either proportional or non-proportional.
Proportional Reinsurance
In proportional reinsurance, the insurer and reinsurer share premiums and losses in a pre-agreed ratio. You can think of this as the reinsurer taking a direct "share" or "stake" in the original insurance policies. The reinsurer also pays the cedent a reinsurance commission, which is a percentage of the premium ceded, to compensate the insurer for the costs of acquiring the original business (e.g., broker commissions, underwriting staff).
There are two main types of proportional treaties:
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Quota Share: This is the simplest form. The reinsurer takes a fixed percentage of every risk within the scope of the treaty. For example, in a "40% quota share" treaty, the insurer cedes 40% of the premium and 40% of any losses for every single policy.
- Primary Benefit: Provides significant capital relief and is very effective for new companies or those entering a new line of business, as it immediately reduces their net exposure across the board.
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Surplus: This is a more refined approach. The insurer sets a retention limit, known as a "line," which is the amount of risk it is willing to keep for its own account on any single policy. The reinsurer then accepts the "surplus" amount of risk above that line, up to a specified multiple of the line.
- Example: An insurer has a retention line of £100,000 and a "9-line surplus" treaty (so, 9 x £100k = £900k of reinsurance capacity).
- On a policy with a £50,000 sum insured, the insurer keeps 100% of the risk.
- On a policy with a £500,000 sum insured, the insurer retains the first £100,000 (20%) and cedes the remaining £400,000 (80%) to the surplus treaty. Premiums and losses for this policy are shared in this 20/80 ratio.
- Primary Benefit: Allows the insurer to retain more of the smaller, often more profitable, risks for itself, while ceding the larger exposures. It is a more efficient use of reinsurance than Quota Share but is more complex to administer.
- Example: An insurer has a retention line of £100,000 and a "9-line surplus" treaty (so, 9 x £100k = £900k of reinsurance capacity).
Non-Proportional Reinsurance
In non-proportional reinsurance, there is no direct sharing of premiums and losses. Instead, the reinsurer only pays if the insurer's loss exceeds a specified amount, known as the deductible or retention. This form of reinsurance is designed to protect the insurer against the severity of losses, rather than sharing in the risk from the ground up. This is a direct response to the catastrophe risks we discussed previously.
The main types of non-proportional reinsurance are:
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Excess of Loss (XoL): This is the most common form. The reinsurer agrees to pay losses in excess of a certain retention, up to a specified limit.
- Structure: "£10 million in excess of £5 million" (written as £10m xs £5m). This means the insurer pays the first £5m of a loss, and the reinsurer pays the next £10m. The insurer is responsible for any loss exceeding £15m.
- Application: It can be applied on a per-risk basis (protecting against a single large claim on one policy) or, more critically, on a per-event basis (protecting against the aggregate of all claims arising from a single catastrophic event like a hurricane).
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Stop Loss (or Aggregate Excess of Loss): This protects the insurer's overall annual results. The reinsurance is triggered if the insurer's total claims for the year exceed a certain amount, often expressed as a percentage of premium income (e.g., the reinsurer pays all losses once the loss ratio for the year exceeds 85%).
- Primary Benefit: Protects against an unexpectedly bad year overall, whether due to a single large event or an unusually high frequency of smaller claims.
The following resource provides excellent diagrams and examples to solidify your understanding of these structures.
[PDF] The essential guide to reinsurance | Swiss Re
Let's return to the Swiss Re guide to see these structures in action.
Read the entire section on "Basic forms of reinsurance," from the beginning of the Facultative section through to the end of the Stop-loss section. Pay very close attention to the worked examples and diagrams for: Quota Share Reinsurance Surplus Reinsurance Excess of Loss per risk (WXL/R) Catastrophe Excess of Loss (CatXL) These illustrations are key to understanding the practical differences between the methods.
Conclusion and Summary Framework
In this lesson, we have established that reinsurance is a fundamental strategic tool for insurance companies. It serves not only as a defense against catastrophic losses but also as a proactive instrument for managing capital, stabilizing earnings, and enabling growth.
We have built a clear hierarchy for its structure: arrangements are first defined by the nature of the obligation (the optional facultative vs. the automatic treaty) and then by the financial mechanics of risk sharing (the percentage-based proportional vs. the deductible-based non-proportional).
Key Takeaways:
- Purpose: Reinsurance primarily provides capacity, stability, catastrophe protection, and capital relief.
- Facultative vs. Treaty: Facultative is for individual, negotiated risks; Treaty is for automatic coverage of a whole portfolio.
- Proportional: Premiums and losses are shared by a percentage. The main types are Quota Share (fixed percentage for all risks) and Surplus (reinsuring amounts above a retention line).
- Non-Proportional: Reinsurer pays only when losses exceed a deductible. The main type is Excess of Loss (XoL), which protects against high-severity losses, either per-risk or per-event (catastrophe).
To help you consolidate this information for your revision, here is the summary framework you requested, detailing the key characteristics of each main reinsurance type.
Reinsurance Structures: A Reference Framework
| Method | Type | How it Works | Primary Purpose | Key Advantage | Key Disadvantage |
|---|---|---|---|---|---|
| Quota Share | Proportional | Reinsurer takes a fixed % of every policy's premium and losses. | Capital relief; support for new companies or new lines of business. | Simple to administer; provides large-scale premium/risk reduction. | Insurer must cede a share of profitable business it could have retained. |
| Surplus | Proportional | Insurer retains risks up to a 'line'; cedes the surplus above the line. | Increase capacity for large risks while retaining profitable smaller risks. | More efficient use of reinsurance than Quota Share. | More complex administration than Quota Share. |
| Excess of Loss (XoL) | Non-Proportional | Reinsurer pays losses that exceed a large deductible, up to a limit. | Protect against low-frequency, high-severity losses (per-risk or per-event). | Directly targets volatility and catastrophe risk. | Provides no cover for smaller, more frequent losses below the deductible. |
| Stop Loss | Non-Proportional | Reinsurer pays when the insurer's total annual loss ratio exceeds a set %. | Protect the insurer's overall annual profitability from a bad year. | Ultimate protection for the bottom line. | Can be very expensive; moral hazard if it removes all incentive for prudent underwriting. |
This lesson concludes our module on General Insurance and Reinsurance. We have journeyed from the basic products through to the extreme risks they face and, finally, to the sophisticated mechanisms used to manage those risks.
In our next module, we will shift our focus from the liability side of the balance sheet to the asset side, beginning our exploration of the various investment asset classes available to insurers and pension funds.