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In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...
In finance, a day count convention determines how interest accrues over time for a variety of investments, including bonds, notes, loans, mortgages, medium-term notes, swaps, and forward rate agreements (FRAs). This determines the number of days between two coupon payments, thus calculating the amount transferred on payment dates and also the ...
Original issue discount. Original Issue Discount ( OID) is a type of interest that is not payable as it accrues. OID is normally created when a debt, usually a bond, is issued at a discount. In effect, selling a bond at a discount converts stated principal into a return on investment, or interest. The accurate determination of principal and ...
v. t. e. 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. [ 1] It is the compound interest payable annually in arrears, based on the nominal ...
Time value of money. The present value of $1,000, 100 years into the future. Curves represent constant discount rates of 2%, 3%, 5%, and 7%. The time value of money is the widely accepted conjecture that there is greater benefit to receiving a sum of money now rather than an identical sum later.
5%. 4%. 3%. 2%. 1%. The interest on corporate bonds and government bonds is usually payable twice yearly. The amount of interest paid every six months is the disclosed interest rate divided by two and multiplied by the principal. The yearly compounded rate is higher than the disclosed rate.
Coupon (finance) In finance, a coupon is the interest payment received by a bondholder from the date of issuance until the date of maturity of a bond. [ 1] Coupons are normally described in terms of the "coupon rate", which is calculated by adding the sum of coupons paid per year and dividing it by the bond's face value. [ 2]
Definition. The arithmetic mean of a set of observed data is equal to the sum of the numerical values of each observation, divided by the total number of observations. Symbolically, for a data set consisting of the values , the arithmetic mean is defined by the formula: [ 2] (For an explanation of the summation operator, see summation .)