Life Annuity
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Life Annuity
A life annuity is an annuity, or series of payments at fixed intervals, paid while the purchaser (or annuitant) is alive. The majority of life annuities are insurance 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. 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 ...
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Annuity
In investment, an annuity is a series of payments made at equal intervals.Kellison, Stephen G. (1970). ''The Theory of Interest''. Homewood, Illinois: Richard D. Irwin, Inc. p. 45 Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments. Annuities can be classified by the frequency of payment dates. The payments (deposits) may be made weekly, monthly, quarterly, yearly, or at any other regular interval of time. Annuities may be calculated by mathematical functions known as "annuity functions". An annuity which provides for payments for the remainder of a person's lifetime is a life annuity. Types Annuities may be classified in several ways. Timing of payments Payments of an ''annuity-immediate'' are made at the end of payment periods, so that interest accrues between the issue of the annuity and the first payment. Payments of an ''annuity-due'' are made at the beginning of payment perio ...
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Hôtel-Dieu De Paris
In French-speaking countries, a hôtel-Dieu ( en, hostel of God) was originally a hospital for the poor and needy, run by the Catholic Church. Nowadays these buildings or institutions have either kept their function as a hospital, the one in Paris being the oldest and most renowned, or have been converted into hotels, museums, or general purpose buildings (for instance housing a préfecture, the administrative head office of a French department). Therefore, as a secondary meaning, the term hôtel-Dieu can also refer to the building itself, even if it no longer houses a hospital. Examples include: ;Belgium *Notre Dame à la Rose, founded in 1242 ;France *Hôtel-Dieu d'Angers, founded in 1153 * Hôtel-Dieu de Beaune, founded in 1443 * Hôtel-Dieu of Carpentras, built in 1754 *Hôtel-Dieu of Château-Thierry, founded in 1304 *Hôtel-Dieu of Cluny, built in the 17th and 18th century * Hôtel-Dieu de Lyon, created in 1478 *Hôtel-Dieu of Nantes, completed in 1508 * Hôtel-Dieu de Paris ...
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Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ...
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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 series of payments associated with life insurance and life annuities. The probability of a future payment is based on assumptions about the person's future mortality which is typically estimated using a life table. Life insurance Whole life insurance pays a pre-determined benefit either at or soon after the insured's death. The symbol ''(x)'' is used to denote "a life aged ''x''" where ''x'' is a non-random parameter that is assumed to be greater than zero. The actuarial present value of one unit of whole life insurance issued to ''(x)'' is denoted by the symbol \,A_x or \,\overline_x in actuarial notation. Let ''G>0'' (the "age at death") be the random variable that models the age at which an individual, such as ''(x)'', will die. And ...
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Valuation (finance)
In finance, valuation is the process of determining the present value (PV) of an asset. In a business context, it is often the hypothetical price that a third party would pay for a given asset. Valuations can be done on assets (for example, investments in marketable securities such as companies' shares and related rights, business enterprises, or intangible assets such as patents, data and trademarks) or on liabilities (e.g., bonds issued by a company). Valuations are needed for many reasons such as investment analysis, capital budgeting, merger and acquisition transactions, financial reporting, taxable events to determine the proper tax liability. Valuation overview Common terms for the value of an asset or liability are market value, fair value, and intrinsic value. The meanings of these terms differ. For instance, when an analyst believes a stock's intrinsic value is greater (or less) than its market price, an analyst makes a "buy" (or "sell") recommendation. Moreov ...
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Securities And Exchange Commission
The U.S. 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. The primary purpose of the SEC is to enforce the law against market manipulation. In addition to the Securities Exchange Act of 1934, which created it, the SEC enforces the Securities Act of 1933, the Trust Indenture Act of 1939, the Investment Company Act of 1940, the Investment Advisers Act of 1940, the Sarbanes–Oxley Act of 2002, and other statutes. The SEC was created by Section 4 of the Securities Exchange Act of 1934 (now codified as and commonly referred to as the Exchange Act or the 1934 Act). Overview The SEC has a three-part mission: to protect investors; maintain fair, orderly, and efficient markets; and facilitate capital formation. To achieve its mandate, the SEC enforces the statutory requirement that public companies and other regulated companies submit quarterly and annua ...
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Investment Management
Investment management is the professional asset management of various securities, including shareholdings, bonds, and other assets, such as real estate, to meet specified investment goals for the benefit of investors. Investors may be institutions, such as insurance companies, pension funds, corporations, charities, educational establishments, or private investors, either directly via investment contracts or, more commonly, via collective investment schemes like mutual funds, exchange-traded funds, or REITs. The term asset management is often used to refer to the management of investment funds, while the more generic term fund management may refer to all forms of institutional investment, as well as investment management for private investors. Investment managers who specialize in ''advisory'' or ''discretionary'' management on behalf of (normally wealthy) private investors may often refer to their services as money management or portfolio management within the contex ...
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Mutual Funds
A mutual fund is a professionally managed 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 ('investment company with variable capital') and open-ended investment company (OEIC) in the UK. Mutual funds are often classified by their principal investments: money market funds, bond or fixed income funds, stock or equity funds, or hybrid funds. Funds may also be categorized as index funds, which are passively managed funds that track the performance of an index, such as a stock market index or bond market index, or actively managed funds, which seek to outperform stock market indices but generally charge higher fees. Primary structures of mutual funds are open-end funds, closed-end funds, unit investment trusts. Open-end funds are purchased from or sold to the issuer at the net asset value of each share as of t ...
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Social Security (United States)
In the United States, Social Security is the commonly used term for the federal Old-Age, Survivors, and Disability Insurance (OASDI) program and is administered by the Social Security Administration (SSA). The original Social Security Act was enacted in 1935,Social Security Act of 1935 and the current version of the Act, as amended, 2 USC 7 encompasses several social welfare and social insurance programs. The average monthly Social Security benefit for August 2022 was $1,547. The total cost of the Social Security program for the year 2021 was $1.145 trillion or about 5 percent of U.S. GDP. Social Security is funded primarily through payroll taxes called Federal Insurance Contributions Act tax (FICA) or Self Employed Contributions Act Tax (SECA). Wage and salary earnings in covered employment, up to an amount specifically determined by law (see tax rate table below), are subject to the Social Security payroll tax. Wage and salary earnings above this amount are not tax ...
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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 age, rather than depending directly on individual investment returns. Traditionally, many governmental and public entities, as well as a large number of corporations, provide defined benefit plans, sometimes as a means of compensating workers in lieu of increased pay.Lemke and Lins, ''ERISA for Money Managers'', §1:1 (Thomson West, 2013). A defined benefit plan is 'defined' in the sense that the benefit formula is defined and known in advance. Conversely, for a "defined contribution retirement saving plan," the formula for computing the employer's and employee's contributions is defined and known in advance, but the benefit to be paid out is not known in advance. In the United States, specifies a defined benefit plan to be any pension pl ...
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Financial Mathematics
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio management on the other. Mathematical finance overlaps heavily with the fields of computational finance and financial engineering. The latter focuses on applications and modeling, often by help of stochastic asset models, while the former focuses, in addition to analysis, on building tools of implementation for the models. Also related is quantitative investing, which relies on statistical and numerical models (and lately machine learning) as opposed to traditional fundamental analysis when managing portfolios. French mathematician Louis Bachelier's doctoral thesis, defended in 1900, is considered the first scholarly work on mathematical fi ...
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Stochastic Process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, cryptography and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance. Applications and the study of phenomena have in turn inspired the proposal of new stochastic processes. Examples of such stochastic processes include the Wiener process or Brownian motion ...
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