Annual Effective Discount Rate
The annual effective discount rate is the annual interest divided by the capital including that interest, which is the interest rate divided by 100% plus the interest rate. It is the annual discount factor to be applied to the future cash flow, to find the discount, subtracted from a future value to find the value one year earlier.
For example, suppose there is a government bond that sells for $95 and pays $100 in a year's time. The discount rate according to the given definition is
The interest rate is calculated using 95 as its base:
For every annual effective interest rate, there is a corresponding annual effective discount rate, given by the following formula
or inversely,
where the approximations apply for small i and d; in fact i - d = id.
See also notation of interest rates.
Read more about this topic: Discount Rate
Famous quotes containing the words annual, effective, discount and/or rate:
“I would not have every man nor every part of a man cultivated, any more than I would have every acre of earth cultivated: part will be tillage, but the greater part will be meadow and forest, not only serving an immediate use, but preparing a mould against a distant future, by the annual decay of the vegetation which it supports.”
—Henry David Thoreau (1817–1862)
“... effective magic is transcendent nature ...”
—George Eliot [Mary Ann (or Marian)
“Don’t discount our powers;
We have made a pass
At the infinite,”
—Robert Frost (1874–1963)
“We all run on two clocks. One is the outside clock, which ticks away our decades and brings us ceaselessly to the dry season. The other is the inside clock, where you are your own timekeeper and determine your own chronology, your own internal weather and your own rate of living. Sometimes the inner clock runs itself out long before the outer one, and you see a dead man going through the motions of living.”
—Max Lerner (b. 1902)