In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign (%), although the abbreviations pct., pct, and sometimes pc are also used. A percentage is a dimensionless number, primarily used for expressing proportions, but percent is nonetheless a unit of measurement in its orthography and usage.
In science and engineering, the parts-per notation is a set of pseudo-units to describe small values of miscellaneous dimensionless quantities, e.g. mole fraction or mass fraction. Since these fractions are quantity-per-quantity measures, they are pure numbers with no associated units of measurement. Commonly used are parts-per-million, parts-per-billion, parts-per-trillion and parts-per-quadrillion. This notation is not part of the International System of Units (SI) system and its meaning is ambiguous.
The phrase per mille indicates parts per thousand. The associated symbol is ‰, similar to a per cent sign % but with an extra zero in the divisor.
In mathematical finance, the Greeks are the quantities representing the sensitivity of the price of a derivative instrument such as an option to changes in one or more underlying parameters on which the value of an instrument or portfolio of financial instruments is dependent. The name is used because the most common of these sensitivities are denoted by Greek letters. Collectively these have also been called the risk sensitivities, risk measures or hedge parameters.
In a tax system, the tax rate is the ratio at which a business or person is taxed. There are several methods used to present a tax rate: statutory, average, marginal, and effective. These rates can also be presented using different definitions applied to a tax base: inclusive and exclusive.
In finance, the duration of a financial asset that consists of fixed cash flows, such as a bond, is the weighted average of the times until those fixed cash flows are received. When the price of an asset is considered as a function of yield, duration also measures the price sensitivity to yield, the rate of change of price with respect to yield, or the percentage change in price for a parallel shift in yields.
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:
An interest rate future is a financial derivative with an interest-bearing instrument as the underlying asset. It is a particular type of interest rate derivative.
Floating rate notes (FRNs) are bonds that have a variable coupon, equal to a money market reference rate, like SOFR or federal funds rate, plus a quoted spread. The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months. At the beginning of each coupon period, the coupon is calculated by taking the fixing of the reference rate for that day and adding the spread. A typical coupon would look like 3 months USD SOFR +0.20%.
Gross margin is the difference between revenue and cost of goods sold (COGS), divided by revenue. Gross margin is expressed as a percentage. Generally, it is calculated as the selling price of an item, less the cost of goods sold, then divided by the same selling price. "Gross margin" is often used interchangeably with "gross profit", however, the terms are different: "gross profit" is technically an absolute monetary amount, and "gross margin" is technically a percentage or ratio.
The percent sign% is the symbol used to indicate a percentage, a number or ratio as a fraction of 100. Related signs include the permille sign ‰ and the permyriad sign ‱, which indicate that a number is divided by one thousand or ten thousand, respectively. Higher proportions use parts-per notation.
In financial markets, the tick size is the smallest price increment in which the prices are quoted. The meaning of the term varies depending on whether stocks, bonds, or futures are being quoted.
A percentage point or percent point is the unit for the arithmetic difference between two percentages. For example, moving up from 40 percent to 44 percent is an increase of 4 percentage points. In written text, the unit is usually either written out, or abbreviated as pp, p.p., or %pt. to avoid confusion with percentage increase or decrease in the actual quantity. After the first occurrence, some writers abbreviate by using just "point" or "points".
Capitalization rate is a real estate valuation measure used to compare different real estate investments. Although there are many variations, the cap rate is generally calculated as the ratio between the annual rental income produced by a real estate asset to its current market value. Most variations depend on the definition of the annual rental income and whether it is gross or net of annual costs, and whether the annual rental income is the actual amount received, or the potential rental income that could be received if the asset was optimally rented.
In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared, i.e. dividing by a standard or reference or starting value. The comparison is expressed as a ratio and is a unitless number. By multiplying these ratios by 100 they can be expressed as percentages so the terms percentage change, percent(age) difference, or relative percentage difference are also commonly used. The terms "change" and "difference" are used interchangeably.
In foreign exchange markets, a percentage in point (pip) is a unit of change in an exchange rate of a currency pair. A pip is the smallest whole unit price move that an exchange rate can make, based on forex market convention.
A per cent mille or pcm is one one-thousandth of a percent. It can be thought of as a "milli-percent". It is commonly used in epidemiology, and in nuclear reactor engineering as a unit of reactivity.
Swap spreads are the difference between the swap rate and a corresponding government bond yield with the same maturity.
The Fourteenth Finance Commission of India was a finance commission constituted on 2 January 2013. The commission's chairman was former Reserve Bank of India governor Y. V. Reddy and its members were Sushma Nath, M. Govinda Rao, Abhijit Sen, Sudipto Mundle, and AN Jha. The recommendations of the commission entered force in April 2015; they take effect for a five-year period from that date.
On September 17, 2019, interest rates on overnight repurchase agreements, which are short-term loans between financial institutions, experienced a sudden and unexpected spike. A measure of the interest rate on overnight repos in the United States, the Secured Overnight Financing Rate (SOFR), increased from 2.43 percent on September 16 to 5.25 percent on September 17. During the trading day, interest rates reached as high as 10 percent. The activity also affected the interest rates on unsecured loans between financial institutions, and the Effective Federal Funds Rate (EFFR), which serves as a measure for such interest rates, moved above its target range determined by the Federal Reserve.
