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The Analysis ToolPak add-in provides 19 special-purpose analysis tools (primarily statistical in nature) and many specialized worksheet functions. These tools make Excel suitable for small- to medium-scale statistical analysis.

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The rst expression (EMV + NOF) is used in place of the ending market value used in the ROR calculation We adjust the ending market value for any withdrawals from the fund Notice that this will increase the numerator amount and the resulting return Withdrawals are treated as a bene t to performance In the second expression, we are subtracting the amount invested in order to calculate the gain The in ows are treated as investments, which reduce the gain Contributions are treated as costs to performance The amount invested (BMV + NIF) is the ROI denominator Increasing the BMV by the contributions results in a lower return (since we are dividing the same gain by a larger number) Is 18.

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18% the proper return for the period where BMV = 100, EMV = 130, and there was a NIF = 10 Note that there is an implicit assumption that the NIF was available for investing, or at risk, for the complete period If the additional in ow were made at the beginning of the period, the investor did not have use of the money for the whole period He would expect a higher fund return to compensate for this than if he did have access to the money over the period So, returns should take into account the timing of the additional cash ows If the investment were made sometime during the period, the investor did have use of the capital for some part of the period.

For example, if the measurement period were a month and the $10 contribution came midway through the month, the fund had $100 of invested capital for the rst half of the month and $110 for the second half The gain of $20 was made on a smaller invested balance; therefore the return credited should be higher than 1818% While ROI adjusts for fund contributions and withdrawals, it does not adjust for the timing of these cash ows Because of the assumption that contributions were available for the whole period ROI will give the same return no matter when in the period the ows occur Another drawback of the ROI as a measure of investment performance is that it does not adjust for the length of the holding period The ROI calculation gives the same result whether the gain was earned over a day, a year, or 10 years.

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For these reasons, we need a measure of return where we consider both the timing of cash ows and the length of the period where the assets were at risk Both adjustments are derived from time value of money concepts..

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