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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 ...
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 ...
Capital recovery factor. A capital recovery factor is the ratio of a constant annuity to the present value of receiving that annuity for a given length of time. Using an interest rate i, the capital recovery factor is: where is the number of annuities received. [ 1]
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.
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 ...
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]
A Fourier series is a continuous, periodic function created by a summation of harmonically related sinusoidal functions. It has several different, but equivalent, forms, shown here as partial sums. But in theory The subscripted symbols, called coefficients, and the period, determine the function as follows: Fig 1.
Terminal value (finance) In finance, the terminal value (also known as “ continuing value ” or “ horizon value ” or " TV ") [ 1] of a security is the present value at a future point in time of all future cash flows when we expect stable growth rate forever. [ 2] It is most often used in multi-stage discounted cash flow analysis, and ...