Accrued Interest - Formula

Formula

The primary formula for calculating the interest accrued in a given period is:
I_A = T \times P \times R

where is the accrued interest, is the fraction of the year, is the principal, and is the annualized interest rate.

is calculated as follows:


T = \frac{D_P}{D_Y}

where is the number of days in the period, and is the number of days in the year.

The main variables that affect the calculation are the period between interest payments and the day count convention used to determine the fraction of year, and the date rolling convention in use.

A compounding instrument adds the previously accrued interest to the principal each period, applying compound interest.

Read more about this topic:  Accrued Interest

Famous quotes containing the word formula:

    Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective positions of the beings which compose it, if moreover this intelligence were vast enough to submit these data to analysis, it would embrace in the same formula both the movements of the largest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eyes.
    Pierre Simon De Laplace (1749–1827)

    Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.
    Walter Pater (1839–1894)

    So, if we must give a general formula applicable to all kinds of soul, we must describe it as the first actuality [entelechy] of a natural organized body.
    Aristotle (384–323 B.C.)