## Saturday, January 13, 2018

### That Time I Maximized Regret

My last post, Minimizing Regret, described a decision tool that was used by Jeff Bezos (now reported to be the world's richest person, by the way[1]) and Harry Markowitz, and one I have used extensively throughout my adult life when faced with important decisions. Last week I regretted not using it more.

My home has two HVAC systems, one for the downstairs and one for the upstairs bedrooms and bathrooms. I had both installed after we moved here eleven years ago.

Eleven years isn't an awfully long lifespan for a modern HVAC system; one hopes to get 15 years and perhaps 20 years of service before replacing them.

Ours had become unreliable. We had failures at least once in each of the past three winters so I decided to replace the downstairs unit with a more efficient gas furnace last fall. I hoped to get a year or two more service from the upstairs unit and reasoned that, even if it failed, we could limp along with the new downstairs unit while we repaired the upstairs. Besides, squeezing a couple more years out of the old unit and postponing the replacement costs was only good economics, right?

Last week, the Raleigh area experienced the worst cold spell in the past 130 years according to local news reports and measured at RDU. No doubt it was actually longer but they've only kept records for 130 years. Not surprisingly, our upstairs unit failed (heating systems rarely fail around here in July) plunging our bedroom and bathroom into a permafrost zone as temperatures outside fell to as low as 4º F.

(As an aside, please note that improbable events are not impossible, like 4º low temperatures in Chapel Hill, NC and investment portfolio failures, but I digress.)

Now, that may sound wimpy to the sturdy folks of Embarrass, Minnesota, but let's just say that I had different expectations when I retired to North Carolina.

Given the cold spell's demand on local HVAC service companies, it took two days to have a repairman spend 10 minutes determining that the cost of repairs would be nearly the cost of installing a new system. I learned this late Friday afternoon and had to wait until Monday morning to have the new furnace installed.

That time I maximized regret.
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We lost heat on Wednesday, the day the cold spell began, and had an operational system again on Monday evening, the day the cold spell ended, proving for the umpteenth time that Murphy was not only a genius but also an optimist.

For five days, I slept in long flannel pajamas, wool socks, and a hoodie with a hot water bottle near my feet. (And let me just throw this out there: hot water bottles are a delight that we maybe shouldn't relegate to history's dustbin, as they say.)

I learned to shower, shave and get dressed in under 90 seconds.

Had I followed my own advice when deciding to delay installation of the upstairs heat pump instead of replacing both during the perfect temperatures last fall, I would have anticipated my regret from all possible outcomes.

Had I replaced the upstairs system last fall and missed out on the few dollars of savings I would gain from delaying, my inner financial analyst would have regretted the lost savings opportunity.

I would have anticipated regretting much more my actual outcome, a week of frosty indoor temperatures for the want of saving a hundred bucks or so.

By failing to give my decision the gravity it deserved, I maximized regret.

To put this into a retirement planning context, consider the ever-popular "probability of ruin." We can build a retirement plan that has "only" a 1-in-10 to 1-in-20 chance that we will outlive our savings, but it's probably worth a few minutes considering how much we might regret our plan if we lost that bet.

To my credit, I avoided the Tech Crash by reasoning that, while I would regret selling my tech stocks if prices continued to soar, I would regret far more losing the financial security I had already attained on paper.

A dear friend lost his entire $4M retirement savings when MCI crashed. He was nearing retirement age. That's a lot of regret. It was 34º when we headed for the coffee shop the morning after we got the heat fixed. It felt downright balmy. REFERENCES [1] Mr. Amazon Steps Out, The New York Times ## Monday, January 8, 2018 ### Minimizing Regret I'm reading Algorithms to Live By: The Computer Science of Human Decisions by Brian Christian and Tom Griffiths[1]. Following is an excerpt. Regret can also be highly motivating. Before he decided to start Amazon.com, Jeff Bezos had a secure and well-paid position at the investment company D. E. Shaw & Co. in New York. Starting an online bookstore in Seattle was going to be a big leap—something that his boss (that’s D. E. Shaw) advised him to think about carefully. Says Bezos: "The framework I found, which made the decision incredibly easy, was what I called—which only a nerd would call—a “regret minimization framework.” So I wanted to project myself forward to age 80 and say, “Okay, now I’m looking back on my life. I want to have minimized the number of regrets I have.” I knew that when I was 80 I was not going to regret having tried this. I was not going to regret trying to participate in this thing called the Internet that I thought was going to be a really big deal. I knew that if I failed I wouldn’t regret that, but I knew the one thing I might regret is not ever having tried. I knew that that would haunt me every day, and so, when I thought about it that way it was an incredibly easy decision." Regret minimization can be a powerful tool for making retirement planning decisions. I have always used a similar approach to my critical life decisions. I wrote about it in a post some time back, but my process works like this. I imagine myself at some point in the future long after having made the decision and I imagine that it turned out very badly. My future self then asks, "Do I still think it was a good decision? Would I make it again?" If my future self answers no, then my present self doesn't make that decision. Even though I assume my decision turned out badly, I recognize that good decisions can have bad outcomes. I can accept bad outcomes if I made the best decision available to me at the time. A poor decision that ends well is just dumb luck. Imagine that you are a basketball player about to take a game-winning (or losing) shot. Your shot is a low-percentage gamble but you can also pass to a teammate who has a better shot. If you take the shot and win, you will have a great outcome from a poor decision. Try that often and you will lose a lot. If you pass to the open teammate and he misses, you suffer a poor outcome from a good decision. Make that kind of decision often and you'll win more than you lose. The fact that nearly all retirement finance decisions are probabilistic means that we can make bad decisions that turn out well or good decisions that turn out badly. To complicate matters, our own retirement is a one-time event. If we could have many retirements, a 90% probability of success would mean that 90% of our retirements would be successful, but we only get one. We can and should bet on the 90% probability but if we lose the bet, 100% of our outcomes (there will only be one) will be bad. When we lose the bet, the outcome won't be bad 10% of the time or only 10% bad. Still, the better strategy is to consistently make good decisions or "the best bets", if you prefer. While we only get one shot at claiming Social Security benefits, for example, we will make many other retirement decisions and if we choose the 90% probability bet every time we are likely to win most of them. Recently, a reader commented that since we can't be sure that delaying Social Security benefits will have a good outcome we really can't make a blanket assessment of the strategy. We can't make a blanket statement about the outcomes, true enough, but we can make a blanket statement about the quality of the decision. Minimizing regret is an excellent tool for deciding when to claim Social Security benefits, assuming your financial circumstances afford you the option. Retirees who delay claiming and die early in retirement might regret that they could have received greater benefits had they not delayed, at least to the extent that people who are no longer living have regrets. Married retirees, however, will have surviving spouses whose survivors benefits may be limited (if they are the lower earner) by the higher-earning spouse claiming early and that spouse may not regret your decision to delay even if you do regret it. Retirees who claim early and live a very long time will likely regret their lower lifetime benefits. Widows who live on reduced survivors benefits long after their husband passes because he claimed early might regret having let him make the financial decisions. We might regret delaying claiming if Social Security were to be abandoned entirely by the federal government early in our retirement. I wouldn't regret my decision to delay in that scenario because I assign a low probability to my cohort losing those benefits. After that outcome, I believe I would say that I would make the same decision under the same circumstances if I had it to do over. You, however, might not agree with that assessment or might be substantially younger and have a different outlook. Regret minimization can be subjective and risk can be dependent on one's life expectancy. Regret can be a personal thing, though it can often be measured objectively in dollars. The dollar amount of regret can be defined as the difference between the outcome you expect and the outcome that would have resulted from clairvoyance, ie., from knowing the best answer. If the best possible strategy would have resulted in a$100 profit and yours results in $90, you have$10 of regret.

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One way to look at the Social Security claiming decision is to consider how much you or your surviving spouse would regret that decision in various scenarios and to make the choice based on avoiding scenarios with the greatest regret. This process won't favor delaying claims for every person in every scenario, but often it will.

Minimizing regret doesn't have to be the only tool you use for a specific decision but it may provide an additional perspective. Optimization tools like MaximizeMySocial Security[2], Financial Engines[3] or AARP[4], for example, also provide useful input.

Likewise, Social Security claiming isn't the only retirement decision for which regret minimization might be useful. Let's look at asset allocation.

I am thoroughly enjoying Algorithms and plan to read it again as soon as I finish. Be forewarned, however, that if you're not a computer scientist, you might be happier reading tax tables. That having been said, here's another excerpt that I enjoyed.

Harry Markowitz won the Nobel Prize in Economics for developing Modern Portfolio Theory (MPT). MPT calculates an "efficient frontier" of portfolio allocations that maximizes portfolio returns for various levels of market risk.

MPT determines an optimal asset allocation based on risk tolerance, market volatility, risk-free rates and the covariance of asset classes.

How did the father of Modern Portfolio Theory allocate the assets in his own retirement portfolio?
"I should have computed the historical covariances of the asset classes and drawn an efficient frontier. Instead, I visualized my grief if the stock market went way up and I wasn’t in it—or if it went way down and I was completely in it. My intention was to minimize my future regret. So I split my contributions fifty-fifty between bonds and equities."
Interestingly, a 50% equity allocation falls into the sweet spot of several very different research strategies. Using a complicated simulation strategy, Gordon Irlam found that the 95% confidence interval for the optimal asset allocation ranges from 10% to 80% equities.

Using a much simpler simulation strategy, William Bengen's work on sustainable withdrawal rates shows optimum asset allocations between about 35% and 60%.

In a paper entitled Nearly optimal asset allocations in retirement[5], Wade Pfau concludes, "with Monte Carlo simulations based on historical data parameters, a 4.4 percent withdrawal rate for a 30-year horizon could be supported with a 10 percent chance of failure using a 50/50 asset allocation of stocks and bonds. But the range of stock allocations supporting a withdrawal rate within 0.1 percentage points of this maximum extend from 27 to 87 percent."

That's a lot of research to find answers consistent with "My intention was to minimize my future regret. . . So I split my contributions fifty-fifty."

The Markowitz story also struck a chord with me on a topic to which I have been giving a great deal of thought lately.

We have faster computers, better algorithms, and more in-depth research into retirement financial planning but very little empirical evidence to show how much they actually improve outcomes.

There is talk of "evidence-based" strategies, but retirement research doesn't work like medical research. We can't ask one group of retirees to use a portfolio-spending strategy and a control group to buy annuities and compare the results after 30 years. Even if we could, market uncertainty means we can't expect similar outcomes the next time we run the experiment.

What we will find is evidence of uncertainty.

If Harry Markowitz thought that a fifty-fifty regret-minimizing strategy was preferable to mean-variance optimization, I won't argue.

REFERENCES

[1] Algorithms to Live By: The Computer Science of Human Decisions by Brian Christian | Goodreads

[2] When Should I Take Social Security to Maximize My Benefits? | Maximize My Social Security

[3] Social Security Retirement Calculator | Retirement Readiness

[4] Social Security Calculator – AARP

[5] Nearly optimal asset allocations in retirement, Wade Pfau.