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Shadow Rate
The shadow rate is an interest rate in some financial models. It is used to measure the economy when nominal interest rates come close to the zero lower bound. It was created by Fischer Black in his final paper, "Interest Rates as Options". The shadow rate derives from Fischer Black's insight that currency is an option. If someone has money, they can either (1) spend it today or (2) not spend it and have money tomorrow. Thus, when loans would return less money than was initially loaned out, investors will choose to "exercise the option" and not loan their money. Thus, the nominal short-term interest rate is always greater than or equal to zero. In Black's model, the shadow nominal short-term rate is what the nominal short-term rate would be if it was allowed to go below the zero lower bound. When the shadow nominal short-term rate is positive, the nominal short-term rate is equal to the shadow rate. But when the shadow short-term rate is negative — such as during deflation or ...
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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 rather than later, 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 * ...
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Short-rate Model
A short-rate model, in the context of interest rate derivatives, is a mathematical model that describes the future evolution of interest rates by describing the future evolution of the short rate, usually written r_t \,. The short rate Under a short rate model, the stochastic state variable is taken to be the instantaneous spot rate. The short rate, r_t \,, then, is the ( continuously compounded, annualized) interest rate at which an entity can borrow money for an infinitesimally short period of time from time t. Specifying the current short rate does not specify the entire yield curve. However, no-arbitrage arguments show that, under some fairly relaxed technical conditions, if we model the evolution of r_t \, as a stochastic process under a risk-neutral measure Q, then the price at time t of a zero-coupon bond maturing at time T with a payoff of 1 is given by : P(t,T) = \operatorname^Q\left \mathcal_t \right where \mathcal is the natural filtration for the process. The inte ...
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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 or fees. 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 get devaluated due to inflation by the same factor as the nominal amount gets increased. The relationship between the real interest val ...
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Zero Lower Bound
The Zero Lower Bound (''ZLB'') or Zero Nominal Lower Bound (''ZNLB'') is a macroeconomic problem that occurs when the short-term nominal interest rate is at or near zero, causing a liquidity trap and limiting the central bank's capacity to stimulate economic growth. The root cause of the ''ZLB'' is the issuance of paper currency by governments, effectively guaranteeing a zero nominal interest rate and acting as an interest rate floor. Governments cannot encourage spending by lowering interest rates, because people would simply hold cash instead. Miles Kimball suggested that a modern economy either fully relying on electronic money or defining electronic money as the unit of account could eliminate the ''ZLB''. Even without such measures, however, several central banks are able to reduce interest rates below zero; for example, the Czech National Bank estimates that the lower limit on its interest rate is below -1%. The problem of the ''ZLB'' returned to prominence with Lost Decade ...
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Fischer Black
Fischer Sheffey Black (January 11, 1938 – August 30, 1995) was an American economist, best known as one of the authors of the Black–Scholes equation. Background Fischer Sheffey Black was born on January 11, 1938. He graduated from Harvard College in 1959 and received a PhD in applied mathematics from Harvard University in 1964. He was initially expelled from the PhD program due to his inability to settle on a thesis topic, having switched from physics to mathematics, then to computers and artificial intelligence. Black joined the consultancy Bolt, Beranek and Newman, working on a system for artificial intelligence. He spent a summer developing his ideas at the RAND corporation. He became a student of MIT professor Marvin Minsky,Perry Mehrling, "Fischer Black and the Revolutionary Idea of Finance", Wiley (2005), 400 pages, and was later able to submit his research for completion of the Harvard PhD. Black joined Arthur D. Little, where he was first exposed to economic and ...
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Short-term Interest Rates (other)
Numerous articles relate to short-term interest rates, including: * Bank rate * Certificate of deposit * Discount window * Eurodollar * Federal funds rate * Libor * Official bank rate of the United Kingdom * Overnight rate * Payday loan * Primary dealer * Prime rate * Repurchase agreement, also known as "Repo" * TED spread * Treasury bill * Vigorish * Yield curve In finance, the yield curve is a graph which depicts how the yields on debt instruments - such as bonds - vary as a function of their years remaining to maturity. Typically, the graph's horizontal or x-axis is a time line of months or ye ...
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Deflation
In economics, deflation is a decrease in the general price level of goods and services. Deflation occurs when the inflation rate falls below 0% (a negative inflation rate). Inflation reduces the value of currency over time, but sudden deflation increases it. This allows more goods and services to be bought than before with the same amount of currency. Deflation is distinct from disinflation, a slow-down in the inflation rate, i.e. when inflation declines to a lower rate but is still positive. Economists generally believe that a sudden deflationary shock is a problem in a modern economy because it increases the Real versus nominal value (economics), real value of debt, especially if the deflation is unexpected. Deflation may also aggravate recessions and lead to a deflationary spiral. Some economists argue that prolonged deflationary periods are related to the underlying of technological progress in an economy, because as productivity increases (Total factor productivity, TFP), t ...
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Real Interest Rate
The real interest rate is the rate of interest an investor, saver or lender receives (or expects to receive) after allowing for inflation. It can be described more formally by the Fisher equation, which states that the real interest rate is approximately the nominal interest rate minus the inflation rate. If, for example, an investor were able to lock in a 5% interest rate for the coming year and anticipated a 2% rise in prices, they would expect to earn a real interest rate of 3%. The expected real interest rate is not a single number, as different investors have different expectations of future inflation. Since the inflation rate over the course of a loan is not known initially, volatility in inflation represents a risk to both the lender and the borrower. In the case of contracts stated in terms of the nominal interest rate, the real interest rate is known only at the end of the period of the loan, based on the realized inflation rate; this is called the ex-post real interes ...
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The Great Depression
The Great Depression (19291939) was an economic shock that impacted most countries across the world. It was a period of economic depression that became evident after a major fall in stock prices in the United States. The economic contagion began around September and led to the Wall Street stock market crash of October 24 (Black Thursday). It was the longest, deepest, and most widespread depression of the 20th century. Between 1929 and 1932, worldwide gross domestic product (GDP) fell by an estimated 15%. By comparison, worldwide GDP fell by less than 1% from 2008 to 2009 during the Great Recession. Some economies started to recover by the mid-1930s. However, in many countries, the negative effects of the Great Depression lasted until the beginning of World War II. Devastating effects were seen in both rich and poor countries with falling personal income, prices, tax revenues, and profits. International trade fell by more than 50%, unemployment in the U.S. rose to 23% an ...
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Financial Crisis Of 2007–2008
Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of financial economics bridges the two). Finance activities take place in financial systems at various scopes, thus the field can be roughly divided into personal, corporate, and public finance. In a financial system, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds, shares, stocks, options, futures, etc. Assets can also be banked, invested, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. A broad range of subfields within finance exist due to its wide scope. Asset, money, risk and investment management aim to maximize value and minimize volatility. Financial analysis is viability, stability, and profitability a ...
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Yield Curve
In finance, the yield curve is a graph which depicts how the yields on debt instruments - such as bonds - vary as a function of their years remaining to maturity. Typically, the graph's horizontal or x-axis is a time line of months or years remaining to maturity, with the shortest maturity on the left and progressively longer time periods on the right. The vertical or y-axis depicts the annualized yield to maturity. Those who issue and trade in forms of debt, such as loans and bonds, use yield curves to determine their value. Shifts in the shape and slope of the yield curve are thought to be related to investor expectations for the economy and interest rates. Ronald Melicher and Merle Welshans have identified several characteristics of a properly constructed yield curve. It should be based on a set of securities which have differing lengths of time to maturity, and all yields should be calculated as of the same point in time. All securities measured in the yield curve ...
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Federal Reserve Bank Of Atlanta
The Federal Reserve Bank of Atlanta, (informally referred to as the Atlanta Fed and the Bank), is the sixth district of the 12 Federal Reserve Banks of the United States and is headquartered in midtown Atlanta, Georgia. The Atlanta Fed covers the U.S. states of Alabama, Florida, and Georgia, the eastern two-thirds of Tennessee, the southern portion of Louisiana, and southern Mississippi as part of the Federal Reserve System. Along with its Atlanta headquarters, the Banks operates five branches with the sixth district, which are located in Birmingham, Jacksonville, Miami, Nashville, and New Orleans. These branches provide cash to banks, savings and loans, and other depository institutions; transfer money electronically; and clear millions of checks. In addition to supporting the U.S. financial system, the Atlanta Fed carries out the supervision and regulation of the banks operating within the sixth district. It also is a source of research and expertise for public and privat ...
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