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A 2024 study evaluates the formula for the U.S. market from 1963 to 2022 and compares it with the performance of the Magic Formula, Conservative Formula, and Acquirer’s Multiple. The study finds that all four formulas generate significant raw and risk-adjusted returns, primarily by providing efficient exposure to well-established style factors.
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.
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The study also found that the magic formula could be improved by using operating cash flows instead of EBIT. [8] The strategy also outperforms the Indian stock market over the period July 2012 - Feb 2020, according to a 2022 paper. Over this period the average return was 13.9% of 30-stock Magic Formula portfolio versus 9.3% for the BSE Sensex. [9]
Return on investment (ROI) or return on costs (ROC) is the ratio between net income (over a period) and investment (costs resulting from an investment of some resources at a point in time). A high ROI means the investment's gains compare favorably to its cost.
The investor's utility function is concave and increasing, due to their risk aversion and consumption preference. Analysis is based on single period model of investment. An investor either maximizes their portfolio return for a given level of risk or minimizes their risk for a given return. [2] An investor is rational in nature.
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