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APY Lands
Annual percentage yield (APY) is a normalized representation of an interest rate, based on a compounding period of one year. APY figures allow a reasonable, single-point comparison of different offerings with varying compounding schedules. However, it does not account for the possibility of account fees affecting the net gain. APY generally refers to the rate paid to a depositor by a financial institution, while the analogous annual percentage rate (APR) refers to the rate paid to a financial institution by a borrower. To promote financial products that do not involve debt, banks and other firms will often quote the APY (as opposed to the APR because the APY represents the customer receiving a higher return at the end of the term). For example, a certificate of deposit that has a 4.65% APR, compounded monthly, would instead be quoted as a 4.75% APY. Equation One common mathematical definition of APY uses this effective interest rate formula, but the precise usage may depend on l ...
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Normalization (statistics)
In statistics and applications of statistics, normalization can have a range of meanings. In the simplest cases, normalization of ratings means adjusting values measured on different scales to a notionally common scale, often prior to averaging. In more complicated cases, normalization may refer to more sophisticated adjustments where the intention is to bring the entire probability distributions of adjusted values into alignment. In the case of normalization of scores in educational assessment, there may be an intention to align distributions to a normal distribution. A different approach to normalization of probability distributions is quantile normalization, where the quantiles of the different measures are brought into alignment. In another usage in statistics, normalization refers to the creation of shifted and scaled versions of statistics, where the intention is that these normalized values allow the comparison of corresponding normalized values for different datasets in ...
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Interest Rate
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited, or borrowed. The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized. The interest rate has been characterized as "an index of the preference . . . for a dollar of present ncomeover a dollar of future income". The borrower wants, or needs, to have money sooner, and is willing to pay a fee—the interest rate—for that privilege. Influencing factors Interest rates vary according to: * the government's directives to the central bank to accomplish the government's goals * the currency of the principal sum lent or borrowed * the term to m ...
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Compound Interest
Compound interest is interest accumulated from a principal sum and previously accumulated interest. It is the result of reinvesting or retaining interest that would otherwise be paid out, or of the accumulation of debts from a borrower. Compound interest is contrasted with Interest#Calculation, simple interest, where previously accumulated interest is not added to the principal amount of the current period. Compounded interest depends on the simple interest rate applied and the frequency at which the interest is compounded. Compounding frequency The ''compounding frequency'' is the number of times per given unit of time the accumulated interest is capitalized, on a regular basis. The frequency could be yearly, half-yearly, quarterly, monthly, weekly, daily, continuous compounding, continuously, or not at all until maturity. For example, monthly capitalization with interest expressed as an annual rate means that the compounding frequency is 12, with time periods measured in m ...
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Annual Percentage Rate
The term annual percentage rate of charge (APR), corresponding sometimes to a nominal APR and sometimes to an effective APR (EAPR), is the interest rate for a whole year (annualized), rather than just a monthly fee/rate, as applied on a loan, mortgage loan, credit card, etc. It is a finance charge expressed as an annual rate. Those terms have formal, legal definitions in some countries or legal jurisdictions, but in the United States: :* The ''nominal APR'' is the simple-interest rate (for a year). :* The ''effective APR'' is the fee+compound interest rate (calculated across a year). "Subject: Regulation AA", Alfred F."Bob" Blair, Jr., US Federal Reserve, 2008-06-28, webpage: US-Federal-Reserve-R1314 In some areas, the ''annual percentage rate'' (APR) is the simplified counterpart to the effective interest rate that the borrower will pay on a loan. In many countries and jurisdictions, lenders (such as banks) are required to disclose the "cost" of borrowing in some standardiz ...
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Certificate Of Deposit
A certificate of deposit (CD) is a time deposit sold by banks, thrift institutions, and credit unions in the United States. CDs typically differ from savings accounts because the CD has a specific, fixed term before money can be withdrawn without penalty and generally higher interest rates. CDs require a minimum deposit and may offer higher rates for larger deposits. The bank expects the CDs to be held until maturity, at which time they can be withdrawn and interest paid. In the United States, CDs are insured by the Federal Deposit Insurance Corporation (FDIC) for banks and by the National Credit Union Administration (NCUA) for credit unions. The consumer who opens a CD may receive a paper certificate, but it is now common for a CD to consist simply of a book entry and an item shown in the consumer's periodic bank statements. Consumers who want a hard copy that verifies their CD purchase may request a paper statement from the bank, or print out their own from the financial i ...
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Effective Interest Rate
The effective interest rate (EIR), effective annual interest rate, annual equivalent rate (AER) or simply effective rate is the percentage of interest on a loan or financial product if compound interest accumulates in periods different than a year. It is the compound interest payable annually in arrears, based on the nominal interest rate. It is used to compare the interest rates between loans with different compounding periods. In a situation where a 10% interest rate is compounded annually, its effective interest rate would also be 10%. Calculation The effective interest rate is calculated as if compounded annually. The effective rate is calculated in the following way, where ''r'' is the effective annual rate, ''i'' the nominal rate, and ''n'' the number of compounding periods per year (for example, 12 for monthly compounding): : r \ = \ \left(1+\frac\right)^n - 1 For example, a nominal interest rate of 6% compounded monthly is equivalent to an effective interest rate of ...
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Nominal Interest Rate
In finance and economics, the nominal interest rate or nominal rate of interest is the rate of interest stated on a loan or investment, without any adjustments for inflation. Examples of adjustments or fees # An adjustment for inflation (in contrast with the real interest rate). # Compound interest (also referred to as the nominal annual rate). Nominal versus real interest rate The concept of real interest rate is useful to account for the impact of inflation. In the case of a loan, it is this real interest that the lender effectively receives. For example, if the lender is receiving 8 percent from a loan and the inflation rate is also 8 percent, then the (effective) real rate of interest is zero: despite the increased nominal amount of currency received, the lender would have no monetary value benefit from such a loan because each unit of currency would be devalued due to inflation by the same factor as the nominal amount gets increased. The relationship between the real intere ...
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E (mathematical Constant)
The number is a mathematical constant approximately equal to 2.71828 that is the base of a logarithm, base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted \gamma. Alternatively, can be called Napier's constant after John Napier. The Swiss mathematician Jacob Bernoulli discovered the constant while studying compound interest. The number is of great importance in mathematics, alongside 0, 1, Pi, , and . All five appear in one formulation of Euler's identity e^+1=0 and play important and recurring roles across mathematics. Like the constant , is Irrational number, irrational, meaning that it cannot be represented as a ratio of integers, and moreover it is Transcendental number, transcendental, meaning that it is not a root of any non-zero polynomial with rational coefficie ...
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Financial Institution
A financial institution, sometimes called a banking institution, is a business entity that provides service as an intermediary for different types of financial monetary transactions. Broadly speaking, there are three major types of financial institution: # Depository institution – deposit (finance), deposit-taking institution that accepts and manages deposits and makes loans, including bank, building society, credit union, trust company, and mortgage broker; # Contractual institution – insurance company and pension fund # Investment institution – investment banking, investment bank, underwriter, and other different types of financial entities managing investments. Financial institutions can be distinguished broadly into two categories according to ownership structure: * commercial bank * cooperative banking, cooperative bank Some experts see a trend toward homogenisation of financial institutions, meaning a tendency to invest in similar areas and have similar business str ...
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United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 contiguous states border Canada to the north and Mexico to the south, with the semi-exclave of Alaska in the northwest and the archipelago of Hawaii in the Pacific Ocean. The United States asserts sovereignty over five Territories of the United States, major island territories and United States Minor Outlying Islands, various uninhabited islands in Oceania and the Caribbean. It is a megadiverse country, with the world's List of countries and dependencies by area, third-largest land area and List of countries and dependencies by population, third-largest population, exceeding 340 million. Its three Metropolitan statistical areas by population, largest metropolitan areas are New York metropolitan area, New York, Greater Los Angeles, Los Angel ...
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Federal Deposit Insurance Corporation
The Federal Deposit Insurance Corporation (FDIC) is a State-owned enterprises of the United States, United States government corporation supplying deposit insurance to depositors in American commercial banks and savings banks. The FDIC was created by the Banking Act of 1933, enacted during the Great Depression to restore trust in the American banking system. More than one-third of banks failed in the years before the FDIC's creation, and bank runs were common. The insurance limit was initially US$2,500 per ownership category, and this has been increased several times over the years. Since the enactment of the Dodd–Frank Wall Street Reform and Consumer Protection Act in 2010, the FDIC insures deposits in member banks up to $250,000 per ownership category. FDIC insurance is backed by the full faith and credit of the government of the United States, and according to the FDIC, "since its start in 1933 no depositor has ever lost a penny of FDIC-insured funds". Deposits placed wit ...
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Truth In Savings Act
The Truth in Savings Act (TISA) is a United States federal law that was passed on December 19, 1991. It was part of the larger Federal Deposit Insurance Corporation Improvement Act of 1991 and is implemented by Regulation DD. It established uniformity in the disclosure of terms and conditions regarding interest and fees when giving out information on or opening a new savings account. On passing this law, the US Congress noted that it would help promote economic stability, competition between depository institutions, and allow the consumer to make informed decisions. The Truth in Savings Act requires the clear and uniform disclosure of rates of interest (annual percentage yield or APY) and the fees that are associated with the account so that the consumer is able to make a meaningful comparison between potential accounts. For example, a customer opening a certificate of deposit account must be provided with information about ladder rates (smaller interest rates with smaller deposits ...
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