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Compound annual growth rate (CAGR) is a business, economics and investing term representing the mean annualized growth rate for compounding values over a given time period. [1] [2] CAGR smoothes the effect of volatility of periodic values that can render arithmetic means less meaningful. It is particularly useful to compare growth rates of ...
The growth accounting model is normally expressed in the form of the exponential growth function. As an abstract example consider an economy whose total output (GDP) grows at 3% per year. Over the same period its capital stock grows at 6% per year and its labor force by 1%.
The notion of doubling time dates to interest on loans in Babylonian mathematics. Clay tablets from circa 2000 BCE include the exercise "Given an interest rate of 1/60 per month (no compounding), come the doubling time." This yields an annual interest rate of 12/60 = 20%, and hence a doubling time of 100% growth/20% growth per year = 5 years.
Alternatively the growth rate is expressed by the interest per unit time based on continuous compounding. For example, the following all represent the same growth rate: 3 % per half year; 6.09 % per year (effective annual rate, annual rate of return, the standard way of expressing the growth rate, for easy comparisons)
An annual rate of return is a return over a period of one year, such as January 1 through December 31, or June 3, 2006, through June 2, 2007, whereas an annualized rate of return is a rate of return per year, measured over a period either longer or shorter than one year, such as a month, or two years, annualized for comparison with a one-year ...
If inflation were up 3% that year, you’d multiply that by the amount you took out the first year — $40,000 — and you get $1,200. That means in year 2, you’d withdraw $41,200.
The Federal Reserve responded to decline in earnings growth by cutting the target Federal funds rate (from 6.00 to 1.75% in 2001) and raising them when the growth rates are high (from 3.25 to 5.50 in 1994, 2.50 to 4.25 in 2005).
Revenue recovered 1.5%, year over year, to $25.3 billion, which was a slight miss. It marked the shipper's second quarter of earnings and sales gains following several down quarters.