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...

We show that the standard notion of residual income (RI) does not fulfill additive coherence. This gives rise to ambiguities and inconsistencies. The pitfall resides in the capital charge, which blends a non-market value with a market rate. We solve the problem by using a capital charge based on...

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...

This paper shows that the notion of rate of return is best understood through the lens of the average-internal-rate-of-return (AIRR) model, first introduced in Magni (2010a). It is an NPV-consistent approach based on a coherent definition of rate of return and on the notion of Chisini mean, it...

Accounting measures are traditionally considered not significant from an economic point of view. In particular, accounting rates of return are often regarded economically meaningless or, at the very best, poor surrogates for the IRR, which is held to be “the” economic yield. Likewise,...

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...

In project appraisal under uncertainty, the economic reliability of a measure of financial efficiency depends on its strong NPV-consistency, meaning that the performance metric (i) supplies the same recommendation in accept-reject decisions as the NPV, (ii) ranks competing projects in the same...

In Jiang's (2017, JAI, 9 (4): 77–91), the author proposes an interesting metric, which is a special case of Average Internal Rate of Return (AIRR), introduced in Magni (2010). In the paper, the author also deals with Economic AIRR (EAIRR) (Magni 2013) and ICM-based AROI (Magni 2011, Altshuler...

This paper proposes a model aiming at decomposing the Net Final Value of a project under certainty. It makes use of a systemic outlook: the investor's net worth is regarded as a dynamic system whose structure changes over time. On this basis, a profitability index is presented, here named...

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...