A resolution to the NPV–IRR debate?

Two criteria for choosing between capital investment projects are net present value (NPV) and internal rate of return (IRR). Sometimes they provide inconsistent rankings. This inconsistency sparked a debate about which criterion is better. The debate has lasted more than 100 years.This paper describes a new approach to the debate. The time value of money equation is a polynomial, and a polynomial of order n does not have a single root. It has n roots. The result of taking into account the n solutions for IRR is a new equation for NPV that suggests a resolution to the debate.