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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—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
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