N-body problem: Difference between revisions

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→General formulation: - Changed to make j!=i, instead of i!=j. No different mathematically, but makes it easier to read.
 
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{{About|a capital budgeting concept|other uses|ARR (disambiguation){{!}}ARR}}
{{accounting}}
'''Accounting rate of return''', also known as the '''Average rate of return''', or '''ARR''' is a financial ratio used in [[capital budgeting]]. <ref>[http://www.answers.com/topic/accounting-rate-of-return-arr Accounting Rate of Return - ARR]</ref> The ratio does not take into account the concept of [[time value of money]]. ARR calculates the return, generated from net income of the proposed capital investment. The ARR is a percentage return. Say, if ARR = 7%, then it means that the project is expected to earn seven cents out of each dollar invested (yearly). If the ARR is equal to or greater than the required rate of return, the project is acceptable. If it is less than the desired rate, it should be rejected. When comparing investments, the higher the ARR, the more attractive the investment.<ref>[http://www.unf.edu/~dtanner/dtch/dt_ch19.htm Chapter 19 Accounting Rate of Return]</ref> Over one-half of large firms calculate ARR when appraising projects. <ref>Arnold, G. (2007). Essentials of corporate financial management. London: Pearson Education, Ltd.</ref>


==Basic formulae==
*<math>\text{ARR} = \frac{\text{Average return during period }}{\text{Average investment}}</math>
where
*<math>\text{Average investment} = \frac{\text{Book value at beginning of year 1 + Book value at end of useful life}}{\text{2}}</math>=Profit/investment equals to ARR.


ARR = Incremental Revenue - Incremental Expenses (Including Depreciation)/Initial Investment
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Average Profit = Profit After Tax/Life of Project
 
==References==
{{Reflist}}
 
[[Category:Financial ratios]]
{{Accounting-stub}}

Latest revision as of 03:14, 11 January 2015


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