64  Risk and the Cost of Capital chance it will be worth $28 billion, for a net value of $13 billion. But there is a 20 percent chance it will fail to receive regulatory approval and be worth zero, leading to a loss of $15 billion. The expected value is $7 billion net of investment.10 Failure will bankrupt the company, because the cash flow from the company’s existing plants would be insufficient to cover its existing debt plus the debt on the failed plant. In this case, the economics of the nuclear plant spill over onto the value of the rest of the company. Failure would wipe out all the equity of the company, not just the $15 billion invested in the plant. The implication is that a company should not take on a risk that will put the rest of the company in danger. In other words, don’t do anything that has large negative spillover effects on the rest of the company. This caveat would be enough to guide managers in the earlier example of deciding whether to go ahead with project A. If a $2,000 loss would endanger the company as a whole, management should forgo the project, despite its 60 percent likelihood of success. But by the same token, companies should not avoid risks that don’t threaten their ability to operate normally. Executives making decisions for their companies should think about the company’s risk profile, not their own.11 After all, that’s the job of corpora- tions; they are designed to take risks and overcome the natural loss aversion of individuals. The earliest corporations were the British and Dutch East India shipping companies. With those, if a ship sank, all shareholders would lose a tolerable amount instead of having one ship owner lose his entire fortune. Professors Daniel Kahneman and Amos Tversky have demonstrated that most people place greater weight on the potential economic losses from their decisions than on the potential equivalent gains. In a McKinsey survey of 1,500 global executives across many industries,12 we presented the executives with the following scenario: You are considering making a $10 million investment that has some chance of returning, in present value, $40 million over three years, with some chance of losing the entire investment in the first year. What is the highest loss you would tolerate and still proceed with the investment? A risk-neutral executive would be willing to accept a 75 percent chance of loss and a 25 percent chance of gain. One-quarter of $40 million is $10 million, which is the initial investment, so a 25 percent chance of gain creates an ex- pected risk-neutral value of zero. But most survey respondents demonstrated extreme loss aversion; they were willing to accept only a 19 percent chance of loss to make this investment, nowhere near the risk-neutral answer of 75 per- cent. In fact, only 9 percent of respondents were willing to accept a 40 percent 10 The calculation is ($13 billion × 80%) + (−$15 billion × 20%). 11 “The remainder of this section is adapted from D. Lovallo, T. Koller, R. Uhlaner, and D. Kahneman, “Your Company Is Too Risk-Averse,” Harvard Business Review (March–April 2020), hbr.org. 12 T. Koller, D. Lovallo, and Z. Williams, “Overcoming a Bias against Risk,” McKinsey & Company (August 2012), https://www.mckinsey.com/business-functions/strategy-and-corporate-finance/our- insights/overcoming-a-bias-against-risk. Decide How Much Cash Flow Risk to Take On  65 or greater chance of loss. Informally, we’ve asked groups of executives the same question at even lower levels of investment and found similar results. Our findings echo those from Professor Ralph O. Swalm, going back to 1966.13 This phenomenon has serious consequences for hierarchical organizations. Executives are just as loss-averse when the bets are small as they are when the gambles are large, even though small gambles do not raise the same issues of survival or ruin that provide a rationale for aversion to large risks. What’s more, small gambles offer opportunities for the risk-reducing effects of aggregation. To overcome loss aversion and make better investment decisions, individ- uals and organizations must learn to frame choices in the context of the entire company’s success, not the individual project’s performance. In practice, this means looking at projects as a portfolio by aggregating them, rather than fo- cusing on the risk of individual projects. One technology company successfully used a portfolio approach to as- sess its projects. First, executives estimated the expected return of each project proposal (measured as expected present value divided by investment) and the risks associated with each (measured as the standard deviation of projected returns). Executives then built portfolios of projects and identified combina- tions that would deliver the best balance between return and risk. When they viewed portfolios of projects in the aggregate (Exhibit 4.4), executives could 13 These results build on a 1966 Harvard Business Review article, “Utility Theory: Insights into Risk Taking,” by Ralph O. Swalm. He studied executives with varying levels of spending authority and found that risk- preference profiles were very similar for executives at different levels of the organization. EXHIBIT 4.4  Aggregating Projects Reduces Risk While Achieving High Expected Returns Projects Return, ratio of present value to investment Risk, standard deviation of expected return, % Expected net present value, $ million 4.5 15 8,100 A 15.4 64 200 12.4 B 104 500 7.5 C 66 50 4.7 E 150 200 4.4 F 52 500 3.7 G 37 30 3.7 H 29 400 2.7 I 58 900 2.6 J 31 400 2.5 K 150 300 2.3 L 20 220 1.9 M 18 520 1.5 N 20 300 1.1 O 13 850 0.9 P 5 2,000 0.3 Q 5 850 4.7 D 22 5 Portfolio of selected projects A–Q