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Internal Rate of Return (IRR)The money-weighted rate of return (MWRR) refers to the discount rate that equates a project's present value cash flows to its initial investment. The money-weighted rate of return (MWR), also known as the dollar-weighted rate of return, captures the effect of cash flows (both the size and timing of them). Money-weighted rate of return. The money-weighted rate of return is simply the IRR of a portfolio taking into account all cash inflows and outflows.