Life annuity
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A life annuity is an
annuity In investment, an annuity is a series of payments made at equal intervals based on a contract with a lump sum of money. Insurance companies are common annuity providers and are used by clients for things like retirement or death benefits. Examples ...
, or series of payments at fixed intervals, paid while the purchaser (or annuitant) is alive. The majority of life annuities are
insurance Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to protect ...
products sold or issued by life insurance companies. However, substantial case law indicates that annuity products are not necessarily insurance products. Annuities can be purchased to provide an income during retirement, or originate from a '' structured settlement'' of a personal injury
lawsuit A lawsuit is a proceeding by one or more parties (the plaintiff or claimant) against one or more parties (the defendant) in a civil court of law. The archaic term "suit in law" is found in only a small number of laws still in effect today ...
. Life annuities may be sold in exchange for the immediate payment of a lump sum (single-payment annuity) or a series of regular payments (flexible payment annuity), prior to the onset of the annuity. The payment stream from the issuer to the annuitant has an unknown duration based principally upon the date of death of the annuitant. At this point the contract will terminate and the remainder of the fund accumulated is forfeited unless there are other annuitants or beneficiaries in the contract. Thus a life annuity is a form of longevity insurance, where the uncertainty of an individual's lifespan is transferred from the individual to the insurer, which reduces its own uncertainty by pooling many clients.


History

The instrument's evolution has been long and continues as part of
actuarial science Actuarial science is the discipline that applies mathematics, mathematical and statistics, statistical methods to Risk assessment, assess risk in insurance, pension, finance, investment and other industries and professions. Actuary, Actuaries a ...
.
Ulpian Ulpian (; ; 223 or 228) was a Roman jurist born in Tyre in Roman Syria (modern Lebanon). He moved to Rome and rose to become considered one of the great legal authorities of his time. He was one of the five jurists upon whom decisions were to ...
is credited with generating an actuarial life annuity table between AD 211 and 222. Medieval German and Dutch cities and monasteries raised money by the sale of life annuities, and it was recognized that pricing them was difficult. The early practice for selling this instrument did not consider the age of the nominee, thereby raising interesting concerns.From Commercial Arithmetic to Life Annuities: The Early History of Financial Economics, 1478-1776
" Geoffrey Poitras, Simon Fraser University
These concerns got the attention of several prominent mathematicians over the years, such as Huygens, Bernoulli, de Moivre and others: even
Gauss Johann Carl Friedrich Gauss (; ; ; 30 April 177723 February 1855) was a German mathematician, astronomer, Geodesy, geodesist, and physicist, who contributed to many fields in mathematics and science. He was director of the Göttingen Observat ...
and
Laplace Pierre-Simon, Marquis de Laplace (; ; 23 March 1749 – 5 March 1827) was a French polymath, a scholar whose work has been instrumental in the fields of physics, astronomy, mathematics, engineering, statistics, and philosophy. He summariz ...
had an interest in matters pertaining to this instrument. It seems that Johan de Witt was the first writer to compute the value of a life annuity as the sum of expected discounted future payments, while Halley used the first mortality table drawn from experience for that calculation. Meanwhile, the Paris Hôtel-Dieu offered some fairly priced annuities that roughly fit the Deparcieux table discounted at 5%. Continuing practice is an everyday occurrence with well-known theory founded on robust mathematics, as witnessed by the hundreds of millions worldwide who receive regular remuneration via
pension A pension (; ) is a fund into which amounts are paid regularly during an individual's working career, and from which periodic payments are made to support the person's retirement from work. A pension may be either a " defined benefit plan", wh ...
or the like. The modern approach to resolving the difficult problems related to a larger scope for this instrument applies many advanced mathematical approaches, such as
stochastic Stochastic (; ) is the property of being well-described by a random probability distribution. ''Stochasticity'' and ''randomness'' are technically distinct concepts: the former refers to a modeling approach, while the latter describes phenomena; i ...
methods, game theory, and other tools of
financial mathematics Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the Finance#Quantitative_finance, financial field. In general, there exist two separate ...
.


Types


Defined benefit pension plans

Defined benefit pension plans Defined benefit (DB) pension plan is a type of pension plan in which an employer/sponsor promises a specified pension payment, lump-sum, or combination thereof on retirement that depends on an employee's earnings history, tenure of service and a ...
are a form of life annuity typically provided by employers or governments (such as
Social Security Welfare spending is a type of government support intended to ensure that members of a society can meet basic human needs such as food and shelter. Social security may either be synonymous with welfare, or refer specifically to social insurance ...
in the United States). The size of payouts is usually determined based on the employee's years of service, age and salary.


Individual annuity

Individual annuities are insurance products marketed to individual consumers. With the complex selection of options available, consumers can find it difficult to decide rationally on the right type of annuity product for their circumstances.Longevity Insurance: A Missing Market
Adam Creighton, et al. University of New South Wales AU


Deferred annuity

There are two phases for a deferred annuity: * the ''accumulation'' or ''deferral'' ''phase'' in which the customer deposits (or pays premiums) and accumulates money into an account; * the ''distribution'' or ''annuitization'' ''phase'' in which the insurance company makes income payments until the death of the annuitants named in the contract Deferred annuities grow capital by investment in the accumulation phase (or deferral phase) and make payments during the distribution phase. A ''single premium deferred annuity'' (SPDA) allows a single deposit or premium at the issue of the annuity with only investment growth during the accumulation phase. A ''flexible premium deferred annuity'' (FPDA) allows additional payments or premiums following the initial premium during the accumulation phase. The phases of an annuity can be combined in the fusion of a retirement savings and retirement payment plan: the annuitant makes regular contributions to the annuity until a certain date and then receives regular payments from it until death. Sometimes there is a life insurance component added so that if the annuitant dies before annuity payments begin, a beneficiary gets either a lump sum or annuity payments.


Immediate annuity

An annuity with only a distribution phase is an ''immediate annuity, single premium immediate annuity'' (SPIA), ''payout annuity'', or ''income annuity''. Such a contract is purchased with a single payment and makes payments until the death of the annuitant(s).


Fixed and variable annuity

Annuities that make payments in fixed amounts or in amounts that increase by a fixed percentage are called fixed annuities. Variable annuities, by contrast, pay amounts that vary according to the investment performance of a specified set of investments, typically bond and equity
mutual funds A mutual fund is an investment fund that pools money from many investors to purchase securities. The term is typically used in the United States, Canada, and India, while similar structures across the globe include the SICAV in Europe ('investmen ...
. Variable annuities are used for many different objectives. One common objective is deferral of the recognition of
tax A tax is a mandatory financial charge or levy imposed on an individual or legal entity by a governmental organization to support government spending and public expenditures collectively or to regulate and reduce negative externalities. Tax co ...
able gains. Money deposited in a variable annuity grows on a tax-deferred basis, so that taxes on investment gains are not due until a withdrawal is made. Variable annuities offer a variety of funds ("subaccounts") from various
money managers Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts, such as taxes, in a particular country or socio-economic context. The primary functions which distinguish money are: me ...
. This gives investors the ability to move between subaccounts without incurring additional fees or sales charges. Variable annuities have been criticized for their high commissions, contingent deferred sale charges, tax deferred growth, high taxes on profits, and high annual costs. Sales abuses became so prevalent that in November 2007, the
Securities and Exchange Commission The United States Securities and Exchange Commission (SEC) is an independent agency of the United States federal government, created in the aftermath of the Wall Street crash of 1929. Its primary purpose is to enforce laws against market m ...
approved FINRA Rule 2821 requiring brokers to determine specific suitability criteria when recommending the purchase or exchange (but not the surrender) of deferred variable annuities.


Guaranteed annuity

A pure life annuity ceases to make payments on the death of the annuitant. A ''guaranteed annuity'' or ''life and certain annuity'', makes payments for at least a certain number of years (the "period certain"); if the annuitant outlives the specified period certain, annuity payments then continue until the annuitant's death, and if the annuitant dies before the expiration of the period certain, the annuitant's estate or beneficiary is entitled to collect the remaining payments certain. The tradeoff between the pure life annuity and the life-with-period-certain annuity is that in exchange for the reduced risk of loss, the annuity payments for the latter will be smaller.


Joint annuity

''Joint-life'' and ''joint-survivor'' annuities make payments until the death of one or both of the annuitants respectively. For example, an annuity may be structured to make payments to a married couple, such payments ceasing on the death of the second spouse. In joint-survivor annuities, sometimes the instrument reduces the payments to the second annuitant after death of the first.


Impaired life annuity

There has also been a significant growth in the development of enhanced or impaired annuities. These involve improving the terms offered due to a
medical diagnosis Medical diagnosis (abbreviated Dx, Dx, or Ds) is the process of determining which disease or condition explains a person's symptoms and signs. It is most often referred to as a diagnosis with the medical context being implicit. The information ...
which is severe enough to reduce life expectancy. A process of medical underwriting is involved and the range of qualifying conditions has increased substantially in recent years. Both conventional annuities and Purchase Life Annuities can qualify for impaired terms.


Valuation

Valuation is the calculation of economic value or worth. Valuation of an annuity is calculated as the
actuarial present value The actuarial present value (APV) is the expected value of the present value of a contingent cash flow stream (i.e. a series of payments which may or may not be made). Actuarial present values are typically calculated for the benefit-payment or seri ...
of the annuity, which is dependent on the
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
of the annuitant living to each future payment period, as well as the interest rate and timing of future payments.
Life table In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, the probability that a person of that age will die before their next birthday ("probability of death"). In ...
s provide the probabilities of survival necessary for such calculations.


Annuities by region


United States


United Kingdom

In the United Kingdom conversion of
pension A pension (; ) is a fund into which amounts are paid regularly during an individual's working career, and from which periodic payments are made to support the person's retirement from work. A pension may be either a " defined benefit plan", wh ...
income into an annuity was compulsory by the age of 75 until new legislation was introduced by the coalition government in April 2011. The new rules allow individuals to delay the decision to purchase an annuity indefinitely. In the UK there are a large market of annuities of different types. The most common are those where the source of the funds required to buy the annuity is from a pension scheme. Examples of these types of annuity, often referred to as a Compulsory Purchase Annuity, are conventional annuities, with profit annuities and unit linked, or "third way" annuities. Annuities purchased from savings (i.e. not from a pension scheme) are referred to as Purchase Life Annuities and Immediate Vesting Annuities. In October 2009, the International Longevity Centre-UK published a report on Purchased Life Annuities (Time to Annuitise). In the UK it has become common for life companies to base their annuity rates on an individual's location. Legal & General were the first company to do this in 2007.


Internationally

Some countries developed more options of value for this type of instrument than others. However, a 2005 study reported that some of the risks related to
longevity Longevity may refer to especially long-lived members of a population, whereas ''life expectancy'' is defined Statistics, statistically as the average number of years remaining at a given age. For example, a population's life expectancy at birth ...
are poorly managed "practically everywhere" due to governments backing away from defined benefit promises and insurance companies being reluctant to sell genuine life annuities because of fears that life expectancy will go up. Longevity insurance is now becoming more common in the UK and the U.S. (see Future of annuities, below) while Chile, in comparison to the U.S., has had a very large life annuity market for 20 years.NCPA: Baby Boom Retirement Could Cause Annuity Market Explosion
" Insurance Newsnet, 12/9/2004


See also

* Annuity (European financial arrangements)#Life annuity * Certificate of life * Tontine *
Life estate In common law and statutory law, a life estate (or life tenancy) is the ownership of immovable property for the duration of a person's life. In legal terms, it is an estate in real property that ends at death, when the property rights may rever ...


References

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External links


Math and spreadsheet for purchase and deferral decision


Retirement Annuities Actuarial science