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Annual Effective Discount Rate
The annual effective discount rate expresses the amount of interest paid or earned as a ''percentage'' of the balance at the ''end'' of the annual period. It is related to but slightly smaller than the effective rate of interest, which expresses the amount of interest as a ''percentage'' of the balance at the ''start'' of the period. The discount rate is commonly used for U.S. Treasury bills and similar financial instruments. For example, consider a government bond that sells for $95 ('balance' in the bond at the start of period) and pays $100 ('balance' in the bond at the end of period) in a year's time. The discount rate is : \frac = 5.00\% The effective interest rate is calculated using 95 as the base : \frac = 5.26\% which says that 95\% of $105.26 is $100. For every effective interest rate i, there is a corresponding effective discount rate d that can produce the same future value as i if a given amount of principal is invested for the same amount of time at each o ...
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United States Treasury Security
United States Treasury securities, also called Treasuries or Treasurys, are government debt instruments issued by the United States Department of the Treasury to finance government spending as an alternative to taxation. Since 2012, U.S. government debt has been managed by the Bureau of the Fiscal Service, succeeding the Bureau of the Public Debt. There are four types of marketable Treasury securities: Treasury bills, Treasury notes, Treasury bonds, and Treasury Inflation Protected Securities (TIPS). The government sells these securities in auctions conducted by the Federal Reserve Bank of New York, after which they can be traded in secondary markets. Non-marketable securities include savings bonds, issued to the public and transferable only as gifts; the State and Local Government Series (SLGS), purchaseable only with the proceeds of state and municipal bond sales; and the Government Account Series, purchased by units of the federal government. Treasury securities are ...
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Government Bond
A government bond or sovereign bond is a form of bond issued by a government to support public spending. It generally includes a commitment to pay periodic interest, called coupon payments'','' and to repay the face value on the maturity date. For example, a bondholder invests $20,000, called face value or principal, into a 10-year government bond with a 10% annual coupon; the government would pay the bondholder 10% interest each year and repay the $20,000 original face value at the date of maturity (i.e. after 10 years). Government bonds can be denominated in a foreign currency or the government's domestic currency. Countries with less stable economies tend to denominate their bonds in the currency of a country with a more stable economy (i.e. a hard currency). When governments with less stable economies issue bonds, there is a possibility they will be unable to repay bondholders, resulting in a default. All bonds carry a default risk. International credit rating agencie ...
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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 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 '' ...
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Future Value
Future value is the value of an asset at a specific date. It measures the nominal future sum of money that a given sum of money is "worth" at a specified time in the future assuming a certain interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function.EDUCATION 2020 HOMESCHOOL CONSOLE. FORMULA FOR CALCULATING THE FUTURE VALUE OF AN ANNUITY
Accessed: 2011-04-14.
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) The value does not include corrections for inflation or other factors that affect the true value of money in the future. This is used in

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Debt
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, which differentiates it from an immediate purchase. The debt may be owed by sovereign state or country, local government, company, or an individual. Commercial debt is generally subject to contractual terms regarding the amount and timing of repayments of principal and interest. Loans, bonds, notes, and mortgages are all types of debt. In financial accounting, debt is a type of financial transaction, as distinct from equity. The term can also be used metaphorically to cover moral obligations and other interactions not based on a monetary value. For example, in Western cultures, a person who has been helped by a second person is sometimes said to owe a "debt of gratitude" to the second person. Etymology The English term "debt" was first used in the late 13th century. The term "debt" com ...
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Capital Asset Pricing Model
In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio. The model takes into account the asset's sensitivity to non-diversifiable risk (also known as systematic risk or market risk), often represented by the quantity beta (β) in the financial industry, as well as the expected return of the market and the expected return of a theoretical risk-free asset. CAPM assumes a particular form of utility functions (in which only first and second moments matter, that is risk is measured by variance, for example a quadratic utility) or alternatively asset returns whose probability distributions are completely described by the first two moments (for example, the normal distribution) and zero transaction costs (necessary for diversification to get rid of all idiosyncratic risk). Under these conditions, CAPM shows that the cos ...
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Net Present Value
The net present value (NPV) or net present worth (NPW) applies to a series of cash flows occurring at different times. The present value of a cash flow depends on the interval of time between now and the cash flow. It also depends on the discount rate. NPV accounts for the time value of money. It provides a method for evaluating and comparing capital projects or financial products with cash flows spread over time, as in loans, investments, payouts from insurance contracts plus many other applications. Time value of money dictates that time affects the value of cash flows. For example, a lender may offer 99 cents for the promise of receiving $1.00 a month from now, but the promise to receive that same dollar 20 years in the future would be worth much less today to that same person (lender), even if the payback in both cases was equally certain. This decrease in the current value of future cash flows is based on a chosen rate of return (or discount rate). If for example there exists ...
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Actuarial Notation
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables. Traditional notation uses a halo system where symbols are placed as superscript or subscript before or after the main letter. Example notation using the halo system can be seen below. Various proposals have been made to adopt a linear system where all the notation would be on a single line without the use of superscripts or subscripts. Such a method would be useful for computing where representation of the halo system can be extremely difficult. However, a standard linear system has yet to emerge. Example notation Interest rates \,i is the annual effective interest rate, which is the "true" rate of interest over ''a year''. Thus if the annual interest rate is 12% then \,i = 0.12. \,i^ (pronounced "i ''upper'' m") is the nominal interest rate convertible m times a year, and is numerically equal to m times the effective rate of interest o ...
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