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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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Effective Annual Percentage Rate
Effectiveness is the capability of producing a desired result or the ability to produce desired output. When something is deemed effective, it means it has an intended or expected outcome, or produces a deep, vivid impression. Etymology The origin of the word "effective" stems from the Latin word effectīvus, which means creative, productive or effective. It surfaced in Middle English between 1300 and 1400 A.D. Usage In mathematics and logic, ''effective'' is used to describe metalogical methods that fit the criteria of an effective procedure. In group theory, a group element acts ''effectively'' (or ''faithfully'') on a point, if that point is not fixed by the action. In physics, an effective theory is, similar to a phenomenological theory, a framework intended to explain certain (observed) effects without the claim that the theory correctly models the underlying (unobserved) processes. In heat transfer, ''effectiveness'' is a measure of the performance of a heat exchang ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Amortization Schedule
An amortization schedule is a table detailing each periodic payment on an amortizing loan (typically a mortgage), as generated by an amortization calculator. Amortization refers to the process of paying off a debt (often from a loan or mortgage) over time through regular payments. A portion of each payment is for interest while the remaining amount is applied towards the principal balance. The percentage of interest versus principal in each payment is determined in an amortization schedule. The schedule differentiates the portion of payment that belongs to interest expense from the portion used to close the gap of a discount or premium from the principal after each payment. While a portion of every payment is applied towards both the interest and the principal balance of the loan, the exact amount applied to principal each time varies (with the remainder going to interest). An amortization schedule indicates the specific monetary amount put towards interest, as well as the specific ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Of Finance
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 finan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Effective Annual 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 over a year during which no payments are made. 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, such as weekly, monthly, half-yearly or yearly. Depending on the jurisdictional definition, the effective interest rate may be higher than the annual percentage rate (APR), since the APR method ''does not take compounding into account''. By contrast, the EIR annualizes the periodic rate ''with compounding''. EIR is the standard in the European Union and many other countries, while APR is often used in the United States. The EIR is more relevant for borrowers who are short of income, because it computes the effects of compounding assuming ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Series
In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. For example, the series :\frac \,+\, \frac \,+\, \frac \,+\, \frac \,+\, \cdots is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. In general, a geometric series is written as a + ar + ar^2 + ar^3 + ..., where a is the coefficient of each term and r is the common ratio between adjacent terms. The geometric series had an important role in the early development of calculus, is used throughout mathematics, and can serve as an introduction to frequently used mathematical tools such as the Taylor series, the complex Fourier series, and the matrix exponential. The name geometric series indicates each term is the geometric mean of its two neighboring terms, similar to how the name arithmetic series indicates each term is the arithmetic mean of its two neighboring terms. The sequence of geometric seri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Present Value
In economics and finance, present value (PV), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential, a characteristic referred to as the time value of money, except during times of zero- or negative interest rates, when the present value will be equal or more than the future value. Time value can be described with the simplified phrase, "A dollar today is worth more than a dollar tomorrow". Here, 'worth more' means that its value is greater than tomorrow. A dollar today is worth more than a dollar tomorrow because the dollar can be invested and earn a day's worth of interest, making the total accumulate to a value more than a dollar by tomorrow. Interest can be compared to rent. Just as rent is paid to a landlord by a tenant without the ownership of the asset being transferred, interest is paid to a lender by a borr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Representative APR
A Representative APR is a financial service concept in which credit or loan interest rates quoted through advertising media are required to take into account all charges associated with a product, in addition to the interest rate. History For years, financial services companies have been required to quote an Annual Percentage Rate (APR) in any credit terms or advertisements. Up until 2010, all businesses had to comply with the Consumer Credit (Advertisement) Regulations 2004 (2004 Regulations).Department for Business, Innovation and Skills,Regulations Implementing The Consumer Credit Directive: Quick Start Guide" Aug 2010, page 3 However, all European Union member states adopted a new Directive in April 2008. This has been implemented in the UK by the Consumer Credit (EU Directive) Regulations 2010, which came into force for all UK companies on 1 February 2011. While the Directive is similar to the existing policies adopted in the UK, there are a couple of major changes. One of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Index Rate
A cost of funds index or COFI is a regional average of interest expenses incurred by financial institutions, which in turn is used as a base for calculating variable rate loans. The interest rate on an adjustable rate mortgage, for example, is often linked to a regional COFI specified in the particular loan documents. COFIs, in turn, are usually calculated by a self-regulatory agency like Federal Home Loan Banks. In California, for example, many home mortgage loan A mortgage loan or simply mortgage (), in civil law jurisdicions known also as a hypothec loan, is a loan used either by purchasers of real property to raise funds to buy real estate, or by existing property owners to raise funds for any ...s are indexed to the Federal Home Loan Bank of San Francisco. Interest rates on COFI loans and mortgages tend to fluctuate more slowly than variable-rate loans linked to other indexes. An index used to determine interest rate changes for some adjustable-rate mortgages. The 11 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adjustable-rate Mortgage
A variable-rate mortgage, adjustable-rate mortgage (ARM), or tracker mortgage is a mortgage loan with the interest rate on the note periodically adjusted based on an index which reflects the cost to the lender of borrowing on the credit markets.Wiedemer, John P, ''Real Estate Finance, 8th Edition'', pp 99–105 The loan may be offered at the lender's standard variable rate/base rate. There may be a direct and legally defined link to the underlying index, but where the lender offers no specific link to the underlying market or index, the rate can be changed at the lender's discretion. The term "variable-rate mortgage" is most common outside the United States, whilst in the United States, "adjustable-rate mortgage" is most common, and implies a mortgage regulated by the Federal government, with caps on charges. In many countries, adjustable rate mortgages are the norm, and in such places, may simply be referred to as mortgages. Among the most common indices are the rates on 1-year co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Default (finance)
In finance, default is failure to meet the legal obligations (or conditions) of a loan, for example when a home buyer fails to make a mortgage payment, or when a corporation or government fails to pay a bond which has reached maturity. A national or sovereign default is the failure or refusal of a government to repay its national debt. The biggest private default in history is Lehman Brothers, with over $600 billion when it filed for bankruptcy in 2008. The biggest sovereign default is Greece, with $138 billion in March 2012. Distinction from insolvency, illiquidity and bankruptcy The term "default" should be distinguished from the terms "insolvency", illiquidity and "bankruptcy": * Default: Debtors have been passed behind the payment deadline on a debt whose payment was due. * Illiquidity: Debtors have insufficient cash (or other "liquefiable" assets) to pay debts. * Insolvency: A legal term meaning debtors are unable to pay their debts. * Bankruptcy: A legal finding that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prepayment Of Loan
Prepayment is the early repayment of a loan by a borrower, in part or in full, often as a result of optional refinancing to take advantage of lower interest rates.Lemke, Lins and Picard, ''Mortgage-Backed Securities'', Chapter 4 (Thomson West, 2013 ed.). In the case of a mortgage-backed security (MBS), prepayment is perceived as a financial risk—sometimes known as "call risk"—because mortgage loans are often paid off early in order to incur lower interest payments through cheaper refinancing. The new financing may be cheaper because the borrower's credit has improved or because market interest rates have fallen; but in either of these cases, the payments that ''would have been made'' to the MBS investor would be above current market rates. Redeeming such loans early through prepayment reduces the investor's upside from credit and interest rate variability in an MBS, and in essence forces the MBS investor to reinvest the proceeds at lower interest rates. If instead the borrower' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yield (finance)
In finance, the yield on a security is a measure of the ex-ante return to a holder of the security. It is one component of return on an investment, the other component being the change in the market price of the security. It is a measure applied to fixed income securities, common stocks, preferred stocks, convertible stocks and bonds, annuities and real estate investments. There are various types of yield, and the method of calculation depends on the particular type of yield and the type of security. Because of these differences, yield comparisons between different types of financial products should be treated with caution. Fixed income securities The coupon rate (or nominal rate) on a fixed income security is the interest that the issuer agrees to pay to the security holder each year, expressed as a percentage of the security's principal amount (par value). The current yield is the ratio of the annual interest (coupon) payment and the bond's market price. The yield to matu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
