We propose an innovative methodology for decomposing the value added generated by a money manager within a given assessment interval into the contributions of the manager's investment decisions made in the various periods, in order to identify the most (and the least) impactful period decisions....

This paper introduces new money-weighted metrics for investment performance analysis, based on arithmetic means of holding period rates weighted by the investment's market values. This approach generates rates of return which measure a fund's or portfolio's performance and a fund manager's...

This paper applies Magni's (2011) Aggregate Return On Investment (AROI)to investment performance measurement. We show that the ratio of undiscountednet cash flow to undiscounted invested capital is not a naive metric (itseemingly does not take the time value of money into account). It is a...

In this note we make use of theAverage Internal Rate of Return (AIRR) approach, first introduced in Magni (2010), to introduce a pair of metrics, opposed to IRR and TWRR, which measure the manager's performance and the investor's performance on the basis of the market values of the fund. We also...

We propose a genuinely internal approach to project valuation and decision based on the average Return On Investment (ROI), obtained as the ratio of total operating profit (NOPAT) to total invested capital or, equivalently, as the ratio of net cash flow to total invested capital. The approach...

This paper generalizes Makeham's formula, allowing for varying interest rates and for a non-flat structure of valuation rates. An average interest rate (AIR) is introduced, as well as an average valuation rate (AVR), which exist and are unique for any asset. They can be computed either as...

The recent notion of Average Internal Rate of Return (AIRR) [Magni 2010, The Engineering Economist, 55(2), 150-180] completely solves the long-standing problem of the internal rate of return (IRR). While the AIRR is a return measure, this paper presents a cash-flow measure, namely the ratio of...

This paper analyzes the net-present-value (NPV) model, a keystone in economics: Behaviors and lines of reasoning of NPV-minded decision makers are observed and analyzed. As a result, one finds out that the NPV methodology is biased and its decision makers fall prey to various forms of fallacies...

The internal rate of return (IRR) is often used by managers and practitioners for investment decisions. Unfortunately, it has serious flaws: among others, (i) multiple real-valued IRRs may arise, (ii) complex-valued IRRs may arise, (iii) the IRR is, in general, incompatible with the net present...

This paper presents a theoretical framework for valuation, investment decisions, and performance measurement based on a nonstandard theory of residual income. It is derived from the notion of “unrecovered” capital, which is here named “lost” capital because it represents the capital...