The authors make an interesting comparison between the risky investor that buys stocks and bonds versus one that guarantees his retirement spending by buying zero-coupon inflation-index government bonds (TIPS). For the very risk averse investors, this 100% TIPS portfolio provides the highest utility and dominates other investment strategies. This is an application of financial economics. Investors that are willing to take on more risk with a stock/bond portfolio can still achieve a higher utility by moving away from the 4% rule. But the riskless portfolio provides a minimum cost option that all other investment/spending plans should be judged against.
What does all this mean? Basically, that blind adherence to the 4% rule is inefficient. Unfortunately the paper stops short of developing a new framework that takes into account investors' preferences. However, it does conclude that once surpluses or overpayments are identified, they can be appropriately valued, which is the first step towards improving the spending and investing decisions.

This graph plots the static 4% rule at point A for an investor that has $100 to pay for a retirement plan. You can clearly see that an individual would prefer other points under the curve. Depending on their risk tolerance, they might move up and obtain a higher utility for the same cost, or move to the left and get the same benefits for less cost.
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