Integrating Options and Discounted Cash Flow

The method of real options allows you to take into account

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CFOs tell us that real options overestimate the value of uncertain projects, encouraging companies to overinvest in them. These concerns are legitimate, but we believe that abandoning real options as a valuation model is just as bad.

How can managers escape this dilemma?

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In exploring their reservations about real-option analysis as a valuation methodology, we have come to the conclusion that much of the problem lies in the unspoken assumption that the real-option and DCF valuation methods are mutually exclusive. We believe this assumption is false.

Session 21: The Essence of Real Options

Far from being a replacement for discounted cash flow analysis, real options are an essential complement because they allow managers to capture the considerable value of being able to ruthlessly abandon floundering projects before making major investments. There are.

These are not, of course, the only difficulties managers encounter using real options, but they are perhaps the most fundamental sources of error, and the integrated approach we present here explicitly addresses them both. Integrating Options and Discounted Cash Flow Traditional DCF analysis relies on the straightforward principle that an investment should be funded if the net present value NPV of its future cash flows is positive—in other words, if it will create more value than it will cost.

This works well if we are projecting future cash flows from some historical context, and we are fairly certain of future trends, but not when our estimates of future cash flows are based on a myriad of assumptions about what the future may hold. In such cases, the odds of accurately forecasting cash flows are pretty slim. As a result, all the risks of uncertainty the possibility that actual cash flows may be much lower than forecast are the method of real options allows you to take into account in the valuation but none of its rewards the possibility that actual cash flows may be much higher than forecast.

The real power of real options

This inherent bias can lead managers to reject highly promising, if uncertain, projects. The challenge, therefore, is to find a way to recapture some of the value lost through the conservative DCF valuation while still protecting against the considerable risks of pursuing highly uncertain projects. This is where options come in.

The possibility that the project may deliver on the high end of potential forecasts, so hard for DCF analysis to take into consideration, is the primary driver of option value. Options provide the right but not the obligation to invest in a project.

Making Real Options Really Work

Their value, therefore, is driven by the possibility of achieving a large upside gain combined with the fact that companies can usually abandon their projects before their investment in them has cost too much, thus limiting the downside. One caveat though. It can hardly be stressed enough that a real-options approach can only be used on projects structured somewhat like options—that is, on projects that can be abandoned before you must commit yourself to making major financial outlays if it becomes clear that things will not go well.

It would not apply, for instance, to valuing an opportunity that requires you to sink huge sums into building a new factory before you have the first inkling whether the bet will pay off.

In the early stages of an innovative project, the value of the DCF component will be low because of the need to use a high discount rate to adjust for the uncertain nature of future cash flows. At the same time, the real-option value will most likely be high due to that same uncertainty.

Why real options are important

To the left of the diagram, uncertainty is high, so the project value, as measured by the vertical axis, is composed largely of option value, and DCF value is low—even, conceivably, negative. Now, uncertainty should reduce over time if it does not, shut down the project! But growing certainty also decreases the option value component of the project.

The greater the uncertainty, the larger the option component and the smaller the discounted cash flow component.

Then it will be in the deep-in-the-money zone. But between the flee zone and the deep-in-the-money zone is what we call the option zone, where the contribution of the option component adds meaningfully to TPV.

It is here that traditional DCF valuations usually clash with management intuition, and so it becomes important to compute both the DCF and the option value of a project.

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In this example, project A depicted by the solid vertical lines is squarely in the option zone. As project A progresses, uncertainty should be reduced, so the vertical line should move to the right, as escalating certainty increases the Investing in bitcoin projects sketches component and decreases the option value component.

If the DCF valuation is high, the decision is easy—simply proceed, since success in the project seems very certain, and it is likely to pay off handsomely. If the DCF valuation produces a strongly negative number and all the value comes from the option, then the project should probably be rejected, unless an investment structure can be created that would allow managers to learn a great deal about the project quickly and for very little cost.

Types of real options[ edit ] Simple Examples Investment This simple example shows the relevance of the real option to delay investment and wait for further information, and is adapted from "Investment Example". Consider a firm that has the option to invest in a new factory. It can invest this year or next year. The question is: when should the firm invest? If the firm invests this year, it has an income stream earlier.

This rule of thumb may cause companies occasionally to miss profitable investments, but in our experience most large firms have more projects than they can fund or staff. So even if the option value is high, why waste time on a project that carries a large negative DCF value? It is simply too risky, so move on to something better. The majority of growth projects, we have found, lie somewhere in the middle. It is here that our framework is particularly useful because the option value can provide logic to support or refute that intuition.

Adjusting for Cost That said, there remain two serious problems with option valuations. First, it is hard to find good proxies for the input variables the model the method of real options allows you to take into account.

A real option is an economically valuable right to make or else abandon some choice that is available to the managers of a company, often concerning business projects or investment opportunities. Real options differ thus from financial options contracts since they involve real i. Key Takeaways A real option gives a firm's management the right, but not the obligation to undertake certain business opportunities or investments. Real option refer to projects involving tangible assets versus financial instruments.

Financial options use a volatility measure derived from the easily observed historical prices of the underlying assets. But there are almost by definition no historical numbers that managers can use when trying to derive the option value of an innovative project—even to estimate the net present value of the underlying asset, let alone its volatility. Not the least of them is trying to establish a figure for volatility, for which there are often no historical numbers.

Then for each factor, we specify the range of possible values.

Free your superstar developer team, and leave the Auth to us. Behaviour Driven Development and Test Driven Development provide many options, especially "the option to change the software, knowing when you have broken it. In other words, test driven development removes the need for design commitments, the choice of design can be deferred until after the coding has started.

These ranges whose widths reflect their associated uncertainties are put into a Monte Carlo simulation, from which we extract the means and standard deviations of total profits, total revenues, and total costs. The standard deviations of profits, revenues, and costs are used in the calculation of adjusted volatility described in this article, and this adjusted volatility is then used in the option valuation.

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The mean of the project value, discounted back at a risk-adjusted rate, becomes the proxy for the current price of the underlying asset. We would emphasize, however, that if the original projections are flawed which is very possible with a highly uncertain growth project or if the discount rate is wrong even more likelythe volatility and exercise price estimates will also be wrong.

Real Option Definition

Realistically, in fact, with highly uncertain projects, any method, no matter how sophisticated, will be wrong. Hence our contention that time spent worrying about the exact option value of a project is time wasted. What valuation can and should do is establish relative values within a portfolio of opportunities, providing a means of ranking the contenders, so that managers can select only the most promising. That way, managers will, in the long run, select better projects than their more timid competitors while keeping risk under control and thus outperform their rivals in both the product and the capital markets.

Another source of error involves the time period used in the calculation, and this is even more difficult to resolve. With a financial option, the more time we have before we commit to buying the underlying asset, the more valuable the option. This makes sense because the stock has more time to increase in value, and if it does not, we need not exercise, so financial options with the method of real options allows you to take into account expiration periods have more value than those with shorter lives all other things being equal.

This logic does not extend to the real world, however. Delaying a product launch will not necessarily add value to a project because you end up paying a discount penalty and could even end up missing the market.

The relationship between time and value is much less consistent with real options than it is with financial options. The best way to handle the problem is to formally recognize this competitive reality. We assume that the project is launched immediately because there is no bonus for delay.

If the project is delayed, we actually discount the total project value for the period it is delayed. Second, even if managers succeed in finding good proxies for the option-model input variables, they remain vulnerable to a major conceptual error.

In the current approaches to option valuation, the more variable the profits, the higher the project valuation.

So What are Real Options?

The variability of profits, in turn, is derived from estimates of how uncertain both revenues and costs are likely to be. This seems reasonable but leads to an impractical result: Mindless option analysis will value a project with relatively predictable revenues but unpredictable costs more highly than a project with the same predictable revenues but with predictable costs.

We think this is wrong.

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When the uncertainty about potential costs is higher than the uncertainty about potential revenues, cost volatility should decrease, not increase, the value of a project. Unlike revenues, where volatility can imply as much upside potential as downside, when it comes to costs, the potential for downside is generally much greater. That is, the margin by which costs overrun their estimates the method of real options allows you to take into account almost always greater than the margin by which they underrun them.

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