Return
Assuming that the same amount of money is invested each time, the return from dollar cost averaging on the total money invested is
where is the final price of the investment and is the harmonic mean of the purchase prices. If the time between purchases is small compared to the investment period, then can be estimated by the harmonic mean of all the prices within the purchase period.
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Famous quotes containing the word return:
“Then came the Lord Chamberlain with his white staff,
And all the people began to laugh;
And then the Queen began to speak,
‘You’re welcome home, Sir Francis Drake.’”
—Unknown. Upon Sir Francis Drake’s Return from His Voyage about the World, and the Queen’s Meeting Him (l. 5–8)
“Live within your means, never be in debt, and by husbanding your money you can always lay it out well. But when you get in debt you become a slave. Therefore I say to you never involve yourself in debt, and become no man’s surety. If your friend is in distress, aid him if you have the means to spare. If he fails to be able to return it, it is only so much lost.”
—Andrew Jackson (1767–1845)
“Each work of art excludes the world, concentrates attention on itself. For the time it is the only thing worth doing—to do just that; be it a sonnet, a statue, a landscape, an outline head of Caesar, or an oration. Presently we return to the sight of another that globes itself into a whole as did the first, for example, a beautiful garden; and nothing seems worth doing in life but laying out a garden.”
—Ralph Waldo Emerson (1803–1882)