There is no such thing as a payback rate .
If the present value of expected cash inflows from a project equals the present value of expected cash outflows, a discounted cash flow capital budgeting method is being used. The accounting rate of return is a capital budgeting method that uses accounting income instead of discounted cash flows. There can be no equivalency between a discounted cash flow capital budgeting method and the accounting rate of return capital budgeting method because they utilize different values.
There is no such thing as a net present value rate .
If the present value of expected cash inflows from a project equals the present value of expected cash outflows, the project's NPV is zero. The internal rate of return of a project is the rate of return at which its NPV is zero. Therefore, when the NPV is zero, the discount rate used to calculate the NPV must be the project's internal rate of return.
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