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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). Therefore, if the first and last cash flow have a different sign there exists an IRR. Examples of time series without an IRR:
Cash return on capital invested [1] (CROCI) is an advanced measure of corporate profitability, originally developed by Deutsche Bank's equity research department in 1996 (it now sits within DWS Group). This measure compares a post-tax, pre-interest cash flow to the gross level of capital invested and is a useful measure of a company’s ability ...
For the corporation, it is essentially internal rate of return (IRR). [2] CFROI is compared to a hurdle rate to determine if investment/product is performing adequately. The hurdle rate is the total cost of capital for the corporation calculated by a mix of cost of debt financing plus investors' expected return on equity investments.
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The internal rate of return (IRR) (which is a variety of money-weighted rate of return) is the rate of return which makes the net present value of cash flows zero. It is a solution r {\displaystyle r} satisfying the following equation:
The internal rate of return (IRR) is the discount rate that gives a net present value (NPV) of zero. It is a widely used measure of investment efficiency. To maximize return, sort projects in order of IRR. Many projects have a simple cash flow structure, with a negative cash flow at the start, and subsequent cash flows are positive.