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Coupon collector's problem. 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 ...
Day count convention. 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 ...
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 (also known as quoted margin). The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months.
Duration (finance) 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 ...
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]
Internal rate of return (IRR) is a method of calculating an investment 's rate of return. The term internal refers to the fact that the calculation excludes external factors, such as the risk-free rate, inflation, the cost of capital, or financial risk. The method may be applied either ex-post or ex-ante. Applied ex-ante, the IRR is an estimate ...
In finance, bootstrapping is a method for constructing a (zero-coupon) fixed-income yield curve from the prices of a set of coupon-bearing products, e.g. bonds and swaps. [ 1 ] A bootstrapped curve , correspondingly, is one where the prices of the instruments used as an input to the curve, will be an exact output , when these same instruments ...
Tree returning the OAS (black vs red): the short rate is the top value; the development of the bond value shows pull-to-par clearly. 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 .