Each policyholder has a different type of policy structure than the others which is why the treatments are subdivided into three different headings: personal lines, commercial lines, and reinsurance. It is essential to understand the policy structure for pricing in the insurance because most of the cases, the cost of risk that is relevant, is rarely the gross amount of a loss but the amount that is paid by an insurer.

Normally, the individual policyholders don’t care about the limit as they are certain that they will not reach that limit but for the insurer, the purpose of the limit is for them to be certain on their potential liability in case of an accident and they don’t want to have unlimited liability in the policy unless it is required by the law.

In the case of the deductible for personal lines insurance, Each-and-Every-Loss deductible is designed so that the insured retains most losses in-house, ceding only the large ones to the insurer. It allows the insured to have a lower premium and allows the insurer to have a lower cost of managing the policy because there would be a smaller number of claims to manage.

In the presentation of the summary statistics for the seven fits taking into account the histograms, ecdfs, and Q-Q plots, it shows that the distributions that provide the best fits for the claim size data are lognormal and Burr distributions followed closely by the Pareto distribution. The log gamma fit is considered poor but the Weibull distribution was considered the worst. The gamma and the exponential are inadequate as models for the data.

Commercial lines are focused on organizations as policyholders but despite that, large corporate entities are different from any smaller organizations as they have more assets and resources to ensure so the presence of multiple claims is completely normal. There is also a difference in terms of the risk as it is not the same as a company so the moral hazard of introducing an annual cap on the company’s retained liabilities is reduced.

The Annual Aggregate deductible (AAD) provides further stability and security to the company of the insured by imposing a cap on how much money it retains. For the insured company, it would be to their advantage if the ADD is hit 5% 20% of the time as it would imply that the AAD made by the insurer is effective.

The purpose of the excess amount in the personal lines insurance is to discourage reporting of small claims which helps in decreasing the cost of managing the claims. Also one of its purposes is to discourage petty claims. One of the good purposes of the excess amount is in the point of view of the insured as it keeps both the compensation and the costs low so the premium is reduced.

Commercial lines policies are similar to personal lines except that the former could have more complex coverage modifiers than the latter. As commercial lines policies focus on groups or organizations, it can be observed that the policy of the commercial line may be sold on several different bases, depending on which claims attach to a policy.

A basic policy structure commonly has three elements which can be enumerated as an each-and-every-loss (EEL) deductible, an annual aggregate deductible (AAD), and a limit (L). There are times that a basic policy structure would have an additional element called the annual aggregate limit (AL).

Aside from the commonly used distributions, there exist other distributions that are being used which arise as reciprocals or other functions of distributions already considered here, the further types of distributions can be used for certain purposes, including threshold distributions, limited distributions, and limited distributions with additional probability mass.

Short term risk models are a representation of risk over a fixed period. Two of the popular models that have always been discussed are both examples of short term risk models. One of the short term models is the individual risk model which has a portfolio that consists of a fixed number. Another short term model is the collective risk model or also known as the aggregate risk model where successive claims from the portfolio were modeled as an independent.

One of the key quantities of interest to an insurance company is the total amount that will be paid out on a particular portfolio of policies over a fixed time interval, such as the accounting period. The mentioned quantity may be approached using various ways and two of the popular models used are an example of short term risk models.

In a reinsurance policy, there are several types of contract which depends on which losses would be covered by the policy. The widely used types of contracts are losses occurring during (LOD), risk attaching during (RAD) and claims made.

The risk excess of loss is a type of reinsurance wherein the insurer is compensated for any losses incurred that are greater than a certain amount, called the excess, up to a limit L. However, there are several differences and things that should be noted which includes: the risk excess of loss have multiple layers of reinsurance wherein it is completely normal to have several types of insurance on top of each other, The annual aggregate deductible is not often used in risk excess of loss, the ceded amount can be limited and that large bodily injury claims are often settled over a long period.

It is important to look beyond the mean and the variance of the random sum because there are circumstances when other kinds of behavior would be a concern such as its tail behavior which would require the use and consideration of the whole distribution of the random sum S.

The choice of the policy limit may be driven by scenario analysis where probabilities and severities are estimated based on expert judgment and market information rather than through actuarial calculations but the policy limit is often chosen by simply benchmarking the organization against its peers. It is often used as the risk managers know that they would be less likely to be blamed for choosing a specific limit if this falls within the standard market place.

Some policies have an aggregate limit as well as an individual loss limit for further limiting the uncertainty of the insurer’s results by imposing an overall cap on the insurer’s liability over a specific period. This additional element also takes care of both the severity and the frequency of exceptionally large losses, whereas the limit only takes care of their severity.

Non-ranking each-and-every-loss deductible (NR EEL) is usually a small amount, much smaller than the EEL. It is to allow the insurer to ignore all the petty amounts both from managing the policy and of building up to the AAD. The most important factor is that the insured is incentivized to exercise risk management controls even on the small claims as it has to retain a share of them regardless of whether the AAD has been reached or not.

Reinsurance policies have the most complex structures around among all the subdivisions of treatments as its features include indexation clauses, premium reinstatements, and the hours’ clause that are difficult for those that are not insurance professionals to grasp. This is why the reinsurance policies are purchased by insurance professionals.

In a reinsurance policy, all losses that occur during the policy period will be recovered from the reinsurer, regardless of the inception date of the original policy and the time at which the loss is reported. Some contracts will qualify this by including a sunset clause which is a specified date by which losses need to be reported to the reinsurer for the claim to be valid.

The agreed policy period for the reinsurance of Mr. Garcia is from June 1, 2018, to May 30, 2019, so all the losses that occur within June 1, 2018, to May 30, 2019, will be covered by the reinsurance policy even though some of the losses may be for policies written and regardless of the time when the losses are reported to the reinsurer or when the loss estimate exceeds a certain threshold.

Most of the non-proportional reinsurance arrangements are based on the Excess-of-loss structure, by which all losses whether individual or in aggregate below a value called the deductible are ignored wherein the payout is the difference between the loss and the deductible, capped at a value called the limit.

For the insurer that purchases excess of loss reinsurance, the indexation clause’ ultimate effect when it is applied to a full reinsurance program and not necessarily to an isolated layer would be reinsurance that is a bit cheaper and has a reduced amount of the cover it gets.

For the excess and the limit to be known, the index stated at the start of the reinsurance policy would be divided into the index when that claim is settled. 250/200 is equal to 1.25. This will be multiplied to the excess and the limit, the layer is $2,000,000 xs $1,500,000 so it will become $2,500,000 xs $1,875,000, and a loss that is settled at $2,500,000 will get a compensation of only $2,500,000 to 1,875,000 which would equal to $625,000 and not 2,500,000 to $1,500,000 which would equal to $1,000,000 as it would if the index clause is not applied.

European indexation clause is another type of indexation clause which is common across the rest of Europe. It has several differences with the London market indexation clause such as in terms of the bases for the calculation of the deductibles. In the EIC, the deductibles are calculated based on the payment pattern while in the LMIC, the deductibles are calculated based on the value of the index at the settlement time. Another difference between the two is that the EIC applies to both the bodily injury and property damage part of the claim rather than only the bodily injury compared with the LMIC.

The basic idea of proportional reinsurance is that the reinsured will cede a proportion of each risk to the reinsurer and the premiums that are in proportion to the overall premium would be paid. This allows the reinsured to write a larger number of risks, diversify its portfolio, and reduce its capital requirements. The proportion of each risk ceded to the reinsurer may either be the same for each risk or be different for each risk, subject to certain rules.

The Insurance market is where the business of buying and selling insurance occurs. Specifically, the UK Insurance market is made up of three different groups of participants which consist of the buyers of the insurance, the intermediaries, and the insurers.

The buyers of insurance can be private individuals, corporate organizations, or other insurers. The private individuals are the one who purchases personal lines insurance such as car insurance, travel insurance, and home insurance. The corporate organizations are the one who purchases commercial lines insurance such as employers’ liability, commercial property, and commercial motor while other insurers are the one purchasing reinsurance as they are the one who has the professional knowledge of understanding the complexity of reinsurance.

Lloyd’s of London was derived from the name of the owner of a successful coffee house where insurance ships were arranged with the authorization and assistance of the owner, Edward Lloyd. Today, Lloyd’s of London is an insurance market located in the United Kingdom wherein it became a meeting place where insurance business is transacted. Its goal is not to transact insurance but to provide infrastructures and services to the insurance market. It also manages a central fund that acts as the capital of last resort that the members can use when they are unable to meet their insurance liabilities.

Captives are insurance providers that are owned by another company which can be either a non-insurer or an insurer. There are many reasons why captives are being used in the market which include risk management and lower insurance spend, Access to reinsurance, Unavailability of cover, Risk Control, Tax reduction, and lighter regulatory burden.