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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,
Portfolio optimization is the process of selecting an optimal portfolio (asset distribution), out of a set of considered portfolios, according to some objective. The objective typically maximizes factors such as expected return , and minimizes costs like financial risk , resulting in a multi-objective optimization problem.
Portfolio Analysis: Advanced topics in performance measurement, risk and attribution (Risk Books, 2006. ISBN 1-904339-82-4) is an industry text written by a comprehensive selection of industry experts and edited by Timothy P. Ryan.
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 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 ...
Also of interest for performance measurement is Sharpe's (1992) style analysis model, in which factors are style indices. This model allows a custom benchmark for each portfolio to be developed, using the linear combination of style indices that best replicate portfolio style allocation, and leads to an accurate evaluation of portfolio alpha.