By Krisna Patel, CFA Chuck E. Cheese is a kid’s dreamland, allowing for the instant gratification of tickets, lights and sounds. What do they have to give up for the simple pleasure of playing pop-a-shot and video games? Tokens[i]. Tokens are the medium of exchange (currency) for this instant gratification, without which they are relegated to watching other kids experience the joys of play. We work so that we can earn money, our medium of exchange, allowing us to purchase goods and services for our own gratification. Whatever extra money we have we save for future consumption. That savings can come in many forms, whether it be a savings account, CDs, stocks, bonds, etc… These things then become our tokens, because we exchange those tokens for a form of consumption in the future. Say we live in a world where we are paid in dollars but need to purchase goods and services in tokens. Each week I make $100, I need $60 worth of tokens to pay for my general living expenses, another $30 worth of tokens for leisure, leaving me with $10 in tokens to save for later. I ask the man behind the counter what options I have to invest these tokens to be consumed in retirement. He gives me the following three buckets to choose from, along with the possible range of returns[ii]: Figure 1 Bucket A: 47% to (-39%) Bucket B: 43% to (-8%) Bucket C: 2% to 0% He assures me that between now and retirement he will offer me liquidity by buying or selling me additional tokens whenever I want. However, each time the price of the token changes based on how his business is doing. When business is good, he may offer to buy/sell me tokens for more than $1; if business is bad, he may offer to buy/sell them for less than a $1. Which bucket would you choose? Most people would choose B, assuming you are not uber risk averse. Bucket A doesn’t make much rational sense, since I could potentially lose more than a third of my investment for the possibility of only earning an additional 4% over Bucket B. Bucket C gives me the safest return, but since I’ve been playing video games a longtime, I know that in 20 years it’s going to take 2 tokens to play the same game that costs me 1 today (inflation[i]); 2% is probably not going to work. Before making my final decision on which bucket to invest in, the man behind the counter offers me another set up options[ii], with the caveat that these buckets are only available if I keep the tokens till retirement. Figure 2 Bucket A: 17% to 6% Bucket B: 12% to 1% Bucket C: 2% to 0% Clearly in this set of options, Bucket A is the most rational choice. It has the highest possible range of returns and will almost certainly double the worth of my tokens. In this illustration, the only difference between figures 1 and 2 is the time frame. Figure 1 represents the range of returns over a 1-year time frame, while figure 2 represents the annualized range of returns over a 20-year period. These return ranges were calculated on a rolling basis from 1950 – 2019, with bucket A representative of equities, and Bucket B representing bonds. Bucket C is a hypothetical cash account, somewhat representative of a savings account today. Historically[i] speaking, had you held on to stocks for 20 years at any point during this period, your best return would have been 17% annually with the worst being 6% annually. The best 20-year return for bonds would have been 12% annually, with the worst being 1%. If one has a long-term horizon for investing, which is often the case for retirement savings, it would be entirely rational to have a greater proportion of your portfolio invested in bucket A (equities). Unfortunately, we often make investment decisions based off Figure 1, leading us to less than optimal portfolio allocations. In their paper “Myopic Loss Aversion and the Equity Premium Puzzle[ii],” Benartzi and Thaler provide a possible explanation. Their main thesis was to explain the equity risk premium (the excess return of stocks over bonds) through two behavioral biases, loss aversion and mental accounting. Loss aversion is the tendency to feel greater pain in losses than pleasure in gains. Tversky and Kahneman estimated that losses weighed roughly twice as much in disutility versus utility experienced through gains[iii]. Put another way, a $5 loss is twice as painful as the pleasure of gaining $5. Mental accounting, in this instance, refers to our preferences in evaluating financial outcomes over finite periods. We typically look at our portfolios at least once a year if not more frequently. The combination of these two biases leads to myopic loss aversion. In the short run equities have a wide dispersion of returns, as referenced in Figure 1. Evaluating our performance more frequently inevitably leads to seeing losses. Those losses then weigh heavily on our decision making, and often derail our initial decision to invest in equities. Myopic loss aversion thus leads us to make short-term decisions on long-term goals. Economic theory teaches us that money is fungible, that is regardless of which purpose the dollar is used for it is all the same. For example, a dollar in our retirement funds should be viewed in the same way as a dollar in our savings account. Unfortunately, this is what often leads to myopic loss aversion because we are viewing our net worth as one bucket. To mitigate myopic loss aversion, I propose looking at the problem in a different light. Mental accounting, in this sense, can work to our benefit by segregating accounts into separate buckets to be used during distinct time frames. The goal of any investment strategy should be to optimize the utility gained from the “tokens” you have. The optimal strategy would be to match those tokens to the utility (consumption) they are used for, instead of viewing all tokens as the same. In this sense you would have a bucket for your near-term tokens, a bucket for the mid-term, and a bucket for the long-term. You would then invest those tokens in the optimal instrument that has the highest probability of return over those periods. Since our near-term bucket would match consumption in the present, it would be most optimal to have that in stable, less volatile investments. For the long-term bucket you would want to have investments that provide for the highest probability of return, regardless of volatility because the consumption of those tokens is not a concern in the present. You would continually roll this strategy as time passes by adding or subtracting from each bucket to match your estimated consumption in each period. This is not to say blindly putting all your long-term monies in equities. A prudent asset allocation strategy based on your goals, risk tolerance and time frame are always necessary. But one must always remember that investing does present risks, and the more frequently you review your statements the greater probability of seeing a loss. Asking yourself what that investment is for, and more specifically when you will need those tokens may help mitigate myopic loss aversion. If, historically, the tokens have always been worth more 20 years from now, why concern yourself with the value today, tomorrow, or three months from now. What matters most is the value of those tokens in the future, because that is when they will be used for consumption. “Proper investment strategy is as much of a psychological as an intellectual challenge.” – Jeremy Siegel Stocks For the Long Run [1] I realize that if you go to Chuckie Cheese now, tokens have turned into a card with token credits [1] JP Morgan Guide to Markets: https://am.jpmorgan.com/us/en/asset-management/gim/protected/adv/insights/guide-to-the-markets. Bucket C is a hypothetical cash bucket with a range of 0-2% [1] This comes out to roughly 3.53% annualized inflation [1] JP Morgan Guide to Markets: https://am.jpmorgan.com/us/en/asset-management/gim/protected/adv/insights/guide-to-the-markets. Bucket C is a hypothetical cash bucket with a range of 0-2% [1] Figure 2 [1] https://www.nber.org/papers/w4369 [1] http://www.sscnet.ucla.edu/polisci/faculty/chwe/austen/tversky1991.pdf Investing involves risk. Loss, including loss of principal may occur. No investment strategy can guarantee positive results. Past performance is not a guarantee of future results. Information presented herein is for discussion and illustrative purposes only and is not a recommendation or an offer or solicitation to buy or sell any securities. Views expressed are as of 04/29/2020, based on the information available at that time, and may change based on market and other conditions. Although certain information has been obtained from sources believed to be reliable, we do not guarantee its accuracy, completeness or fairness. We have relied upon and assumed without independent verification, the accuracy and completeness of all information available from public sources. Krisna Patel is an Investment Advisor Representative at Engage Financial Group--11622 North Michigan Road, Zionsville, IN 46077. Securities and investment advisory services offered through Woodbury Financial Services, Inc. (WFS), member FINRA/SIPC. WFS is separately owned and other entities and/or marketing names, products or services referenced here are independent of WFS ![]()
Comments are closed.
|