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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.
As another example, a two-year return of 10% converts to an annualized rate of return of 4.88% = ((1+0.1) (12/24) − 1), assuming reinvestment at the end of the first year. In other words, the geometric average return per year is 4.88%. In the cash flow example below, the dollar returns for the four years add up to $265.
Robert D. Arnott (born June 29, 1954 [1]) is an American businessman, investor, and writer who focuses on articles about quantitative investing.. He is the founder and chairman of the board of Research Affiliates, an asset management firm.
As the duration of this investment is 1 year, this ROI is annual. For a single-period review, divide the return (net profit) by the resources that were committed (investment): [3] return on investment = Net income / Investment where: Net income = gross profit − expenses. investment = stock + market outstanding [when defined as?] + claims. or
Thus, internal rate(s) of return follow from the NPV as a function of the rate of return. This function is continuous. Towards a rate of return of −100% the NPV approaches infinity with the sign of the last cash flow, and towards a rate of return of positive infinity the NPV approaches the first cash flow (the one at the present).
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The expected return (or expected gain) on a financial investment is the expected value of its return (of the profit on the investment). It is a measure of the center of the distribution of the random variable that is the return. [ 1 ]
If all the money had been invested at the beginning of Year 1, the return by any measure would most likely have been 50%. $1,500 would have grown by 100% to $3,000 at the end of Year 1, and then declined by 25% to $2,250 at the end of Year 2, resulting in an overall gain of $750, i.e. 50% of $1,500.