The Excel EFFECT function is used to calculate the effective annual rate from the nominal annual rate based on the number of compounding periods in a year. The effective annual rate allows for compounding, whereas the nominal annual rate does not allow for compounding.
The effective interest rate formula calculates the rate of interest for a year based on a nominal rate (i) compounded a number of times a year (m). The formula for annual interest rate is sometimes referred to as the annual equivalent rate formula or AER formula.
The net present value of a series of cash flows is the sum of the present values of each of the cash flows. The internal rate of return (IRR) is the discount rate which will produce a net present value (NPV) of zero.