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The simple Dietz method [1] is a means of measuring historical investment portfolio performance, compensating for external flows into/out of the portfolio during the period. [2] The formula for the simple Dietz return is as follows: = + / where is the portfolio rate of 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.
The modified Dietz method [1] [2] [3] is a measure of the ex post (i.e. historical) performance of an investment portfolio in the presence of external flows. (External flows are movements of value such as transfers of cash, securities or other instruments in or out of the portfolio, with no equal simultaneous movement of value in the opposite direction, and which are not income from the ...
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 ...
For example, if the portfolio return was 21%, and the benchmark return was 10%, arithmetic attribution would explain 11% of value added. [11] However, arithmetic attribution faces problems in multi-period performance attribution because while benchmark returns and portfolio returns compound over multiple periods, the sum of return differences ...
Let P t be the price of a security at time t, including any cash dividends or interest, and let P t − 1 be its price at t − 1. Let RS t be the simple rate of return on the security from t − 1 to t.
So with our 10% rate of return, it will take 7.2 years to double the investment. Note: the effectiveness of the rule of 72 varies by how high or low the return rate is. Anything in the 6-10% range ...
The complexity and scale of optimizing portfolios over many assets means that the work is generally done by computer. Central to this optimization is the construction of the covariance matrix for the rates of return on the assets in the portfolio. Techniques include: Linear programming [8] [9] Quadratic programming; Nonlinear programming