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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 ...
Graphs of n vs E(T) in the coupon collector's problem: Image title: Graphs of the number of coupons, n vs the expected number of tries to collect them, E(T) = ceiling(n H(n)) in the coupon collector's problem, drawn by CMG Lee. Width: 100%: Height: 100%
The harmonic series is the infinite series in which the terms are all of the positive unit fractions. It is a divergent series: as more terms of the series are included in partial sums of the series, the values of these partial sums grow arbitrarily large, beyond any finite limit.
The yield will match the coupon rate when a bond is issued and sold at par value. However, if an investor pays less than the par value, their return would be more significant since the coupon ...
Component (graph theory) In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting of the ...
Filled collection booklets could later be used to purchase Series E war bonds. For example, a full 25-cent booklet contained 75 stamps and was worth $18.75, which was the initial price of a $25 war bond. Thus, a full 25-cent booklet would be exchanged for a $25 war bond with a time to maturity of ten years. [8]
Lower minimum investment: A typical bond has a face value of $1,000, but with a bond ETF you can buy a collection of bonds for the price of one share – which may cost as little as $10 – or ...
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 ...