More than 80 providers supply software tools for project portfolio management (PPM). Chances are, only a handful of the offerings will be suitable candidates for your application. How can you tell which vendors and tools deserve your attention?
Most PPM software evaluation guides recommend that you ask questions that play to the vendors’ strengths: they encourage you to discriminate various features and capabilities that support good project management. But, PPM is about selecting the right projects, not just doing projects right. Here are some important, but often neglected, questions that can help you assess whether a vendor’s product will actually help you achieve the primary goal of PPM; namely, to identify and select the project portfolio that will deliver the greatest possible value to your organization.
Here at Folio, efficient frontiers are our daily bread: we talk about them in our marketing materials, we graph them, test them, tweak them, and we love showing our clients where their hand-crafted portfolio choices stand against the efficient frontier.
However, newcomers to portfolio optimization sometimes misunderstand what we mean by “efficient frontier.” We do not blame them: the expression is used in different ways in different disciplines. In this article, we contrast efficient frontiers in finance theory and in project portfolio management.
In Markowitz‘s modern portfolio theory, the efficient frontier is obtained by plotting, for each feasible portfolio of financial instruments, its expected return (i.e., its probability-weighted average return over all risk scenarios) against its risk exposure (i.e., the standard deviation or variance of this return).
It is beyond the scope of this short post to explain the underlying math. We will simply point out that it is the existence of correlation between individual financial assets (e.g., stocks) that allows us to combine them into portfolios yielding a higher return for the same amount of risk.
Ultimately, the math acrobatics are meant to address this question: how can I allocate 100% of my capital amongst various financial instruments so as to achieve the highest possible return for a given risk level I am willing to accept?
Any such allocation is deemed to be an efficient portfolio, in the sense that it is impossible to achieve a greater return without taking on more risk. The collection of all these efficient portfolios then constitute the efficient frontier (the upper part of the blue curve below).

Return vs. risk: the efficient frontier as defined in finance theory. Source: Bob Taylor.
A number of results, most notably Sharpe and Lintner’s Capital Asset Pricing Model (CAPM), further build upon this concept by making equilibrium assumptions about the market players.
For those wishing to drill deeper, here is a very concise technical introduction to modern portfolio theory.
PPM also makes heavy use of the concept of efficient frontier, but it has a different meaning than in finance theory.
First of all, it addresses a different question, namely: to what extent does a higher investment level enable me to create more value by funding more (or different) projects?
By plotting the value created by a portfolio against the investment necessary to fund it, or, as it is often summarized, its total benefit against its total cost, we answer a question similar to, albeit different from, the one posed in finance. For a given cost level what is the maximum total value I can create by picking the right combination of projects?

Portfolio benefit vs. cost: the efficient frontier as defined in PPM. Generated by Folio Priority System.
From here, cost benefit analysis tells us how we can generate (an approximation of) the efficient frontier by ranking candidate projects by decreasing benefit-to-cost ratio — a method we can intuitively link to the decreasing slope of the red curve.
For a more rigorous treatment, we know that ranking alone is insufficient in the presence of complicating issues such as multiple funding levels, disparate project sizes, or project interdependencies, many of which occur in real-life applications.
No, it certainly doesn’t.
Managing portfolio risk is a critical component of success for organizations seeking to implement portfolio optimization. It raises a number of questions: What is the nature of the portfolio risks? Can they be diversified away? How do systemic risks affect the risk of the portfolio? How much risk can my organization tolerate?
One way to address at least project-specific risk is to penalize risky projects by considering their risk-adjusted benefit rather than their expected benefit when creating the efficient frontier.
Portfolio-level risks such as energy or commodity prices present another level of complexity which must be addressed separately from individual project adjustments.
In this post, we just wanted to lay out the possibly-confusing dual terminology. We will address risk more extensively in a future post.
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At its most basic level, prioritizing projects is often accomplished by ranking them by decreasing benefit-to-cost (B/C) ratio. The projects featuring the biggest “bang for the buck” are then at the top of the list, and all that is left to do is determine how many top projects can be funded given the available budget.
The following table illustrates where to draw the funding line, assuming a $10 million budget.
Notice in passing that we would not want to go below a B/C ratio of 1, since funding such a project would yield less benefit than it would cost.
Ranking furnishes a fine first cut at an optimal portfolio, but fails to fully address the following situations — all encountered by our clients.
Bear with us as we indulge in one short theoretical paragraph. The knapsack problem goes as follows: imagine you have a bunch of objects of various values and weights, from which you have to select any number to fit into a knapsack. Your goal is to create the most valuable knapsack possible, without of course exceeding the allowable weight capacity.
Source: Dake under Creative CommonsAttribution-Share Alike 2.5 Generic license.
The parallel with portfolio optimization is obvious: value is the benefit, weight is the cost, and the weight capacity of the knapsack is your budget constraint.
A ranking approach to this problem, therefore, would order the objects by decreasing density: the yellow object right underneath the pack has the highest “value density” — i.e., B/C ratio — (2.5$/kg) and will go in first: it adds a lot of value relative to a small weight consumed. The green box at the top left will go last, if at all: its value density is the lowest (.33$/kg).
Now imagine we start fitting these objects into the knapsack by picking the highest-density objects first, very much like we ranked projects by B/C ratio in the table above and started funding them, until we hit our limit.
As many of us know from experience, we might then decide to make some changes “on the margin”: even though object 26 was the last one to go in, it leaves a lot of unused room in the knapsack. It turns out if I removed object 23 and placed object 27 instead, I would fill the entire sack, even though I have sacrificed a higher B/C object for a lower one. The degree of “shuffling on the margin” is difficult to build a good intuition for. Many practitioners dismiss this phenomenon as, precisely, marginal.
We wanted to put this question to the test: is ranking really insufficient? Do we really need to optimize and deal with the nagging knapsack problem, or can we be content with the simpler ranking method?
Optimization really does better than ranking in “real life.” The following example is taken from a portfolio of 901 real client projects (the data has been disguised by linear rescaling, but the shape of the curves and the conclusions are strictly identical).
The red curve represents the efficient frontier of the simple ranking method. The blue curve represents the efficient frontier of a full-blown optimization.
Notice how an optimization is able to extract more value for certain budget levels than a straightforward ranking. Why is that? There are two main reasons why optimization fares better:
This case study should not be interpreted as an indictment of B/C-ranking. But it clearly illustrates one of the advantages of optimization in the presence of multiple funding levels and heterogeneously sized projects.