Estimate of Compound Annual Growth Rate (CAGR)
Consider the Taylor series:
Taking only the first two terms one has:
Realistically, most financial assets have negative skewness and leptokurtosis, so this formula tends to be over-optimistic. Some people use the formula:
for a rough estimate, where k is an empirical factor (typically five to ten).
Read more about this topic: Volatility (finance)
Famous quotes containing the words estimate, compound, annual, growth and/or rate:
“Value dwells not in particular will;
It holds his estimate and dignity
As well wherein tis precious of itself
As in the prizer.”
—William Shakespeare (15641616)
“He tries by a peculiar speech to speak
The peculiar potency of the general,
To compound the imaginations Latin with
The lingua franca et jocundissima.”
—Wallace Stevens (18791955)
“No annual training or muster of soldiery, no celebration with its scarfs and banners, could import into the town a hundredth part of the annual splendor of our October. We have only to set the trees, or let them stand, and Nature will find the colored drapery,flags of all her nations, some of whose private signals hardly the botanist can read,while we walk under the triumphal arches of the elms.”
—Henry David Thoreau (18171862)
“Here commences what was called, twenty years ago, the best timber land in the State. This very spot was described as covered with the greatest abundance of pine, but now this appeared to me, comparatively, an uncommon tree there,and yet you did not see where any more could have stood, amid the dense growth of cedar, fir, etc.”
—Henry David Thoreau (18171862)
“I dont know but a book in a mans brain is better off than a book bound in calfat any rate it is safer from criticism. And taking a book off the brain, is akin to the ticklish & dangerous business of taking an old painting off a panelyou have to scrape off the whole brain in order to get at it with due safety& even then, the painting may not be worth the trouble.”
—Herman Melville (18191891)