Protected self-insurance is an alternative risk financing mechanism in which an organization retains the mathematically calculated cost of risk within the organization and transfers the catastrophic risk with specific and aggregate limits to an insurer so the maximum total cost of the program is known. A properly designed and underwritten Protected Self-Insurance Program reduces and stabilizes the cost of insurance and provides valuable risk management information.
At the same time, the first insurance schemes for the underwriting of business ventures became available. By the end of the seventeenth century, London's growing importance as a center for trade was increasing demand for marine insurance. In the late 1680s, Edward Lloyd opened a coffee house, which became the meeting place for parties in the shipping industry wishing to insure cargoes and ships, and those willing to underwrite such ventures. These informal beginnings led to the establishment of the insurance market Lloyd's of London and several related shipping and insurance businesses.[6]
Professional liability insurance, also called professional indemnity insurance (PI), protects insured professionals such as architectural corporations and medical practitioners against potential negligence claims made by their patients/clients. Professional liability insurance may take on different names depending on the profession. For example, professional liability insurance in reference to the medical profession may be called medical malpractice insurance.
Benefit insurance – as it is stated in the study books of The Chartered Insurance Institute, the insurance company does not have the right of recovery from the party who caused the injury and is to compensate the Insured regardless of the fact that Insured had already sued the negligent party for the damages (for example, personal accident insurance)
Annuities provide a stream of payments and are generally classified as insurance because they are issued by insurance companies, are regulated as insurance, and require the same kinds of actuarial and investment management expertise that life insurance requires. Annuities and pensions that pay a benefit for life are sometimes regarded as insurance against the possibility that a retiree will outlive his or her financial resources. In that sense, they are the complement of life insurance and, from an underwriting perspective, are the mirror image of life insurance.
In the United States, economists and consumer advocates generally consider insurance to be worthwhile for low-probability, catastrophic losses, but not for high-probability, small losses. Because of this, consumers are advised to select high deductibles and to not insure losses which would not cause a disruption in their life. However, consumers have shown a tendency to prefer low deductibles and to prefer to insure relatively high-probability, small losses over low-probability, perhaps due to not understanding or ignoring the low-probability risk. This is associated with reduced purchasing of insurance against low-probability losses, and may result in increased inefficiencies from moral hazard.[56]
For example, most insurance policies in the English language today have been carefully drafted in plain English; the industry learned the hard way that many courts will not enforce policies against insureds when the judges themselves cannot understand what the policies are saying. Typically, courts construe ambiguities in insurance policies against the insurance company and in favor of coverage under the policy.

Formal self-insurance is the deliberate decision to pay for otherwise insurable losses out of one's own money.[citation needed] This can be done on a formal basis by establishing a separate fund into which funds are deposited on a periodic basis, or by simply forgoing the purchase of available insurance and paying out-of-pocket. Self-insurance is usually used to pay for high-frequency, low-severity losses. Such losses, if covered by conventional insurance, mean having to pay a premium that includes loadings for the company's general expenses, cost of putting the policy on the books, acquisition expenses, premium taxes, and contingencies. While this is true for all insurance, for small, frequent losses the transaction costs may exceed the benefit of volatility reduction that insurance otherwise affords.[citation needed]


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