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Performance attribution, or investment performance attribution is a set of techniques that performance analysts use to explain why a portfolio's performance differed from the benchmark. This difference between the portfolio return and the benchmark return is known as the active return .
The rate of return on a portfolio can be calculated indirectly as the weighted average rate of return on the various assets within the portfolio. [3] The weights are proportional to the value of the assets within the portfolio, to take into account what portion of the portfolio each individual return represents in calculating the contribution of that asset to the return on the portfolio.
In finance, return is a profit on an investment. [1] It comprises any change in value of the investment, and/or cash flows (or securities, or other investments) which the investor receives from that investment over a specified time period, such as interest payments, coupons, cash dividends and stock dividends.
The time-weighted return (TWR) [1] [2] is a method of calculating investment return, where returns over sub-periods are compounded together, with each sub-period weighted according to its duration. The time-weighted method differs from other methods of calculating investment return, in the particular way it compensates for external flows.
If a stock doesn't pay dividends, other methods using distributable cash flows, may be utilized. The duration of an equity is a noisy analogue of the Macaulay duration of a bond, due to the variability and unpredictability of dividend payments. The duration of a stock or the stock market is implied rather than deterministic.
Example with a share of stock: You bought 1 share of stock for US$100 and paid a buying commission of US$5. Then over a year you received US$4 of dividends and sold the share 1 year after you bought it for US$200 paying a US$5 selling commission. Your ROI is the following: ROI = (200 + 4 - 100 - 5 - 5) / (100 + 5 + 5) x 100% = 85.45%