Utility vs. Wealth Maximization
Victor Haghani and James White of ElmWealth have
written an important, but too academic book, about investing for retirement.
Trust me, this not Burton Malkiel’s “A Random Walk Down Wall Street.” In the
interest of full disclosure, I worked with Haghani at Salomon Brothers in the
late 1980’s and early 1990’s, before he went on to Long Term Capital Management
(LTCM). After initial success in 1995, the firm failed spectacularly in 1998.
From that Haghani personally learned the importance of sizing of investments.
Simply put, he was over-invested in his firm.
This is a book more about how much to invest rather
than what to invest in. Sizing is critical and the author’s missing
billionaires were way over invested in a single asset, and they maintained
unsustainable lifestyles. They utilize the concept of the “Merton Share” where
the size of an investment is positively related to expected return and negatively
related to risk aversion and the square of expected volatility.
The goal is to maximize utility, not wealth. Here I
will give an example of my own. An investor has an opportunity to invest $9,000
in an investment that has a 1% chance of a return of $1,000,000 and a 99%
chance of a total loss. The expected return is a positive $1,000. A pure wealth
maximizer might just take the bet, while a utility maximizer would abstain.
In order to make their math work Haghani and White
assume that individuals operate under “constant relative risk aversion.” For
the lay reader this is a nonstarter, and the book is loaded with references to
the finance literature. Further, at least in my case, I don’t think it is
valid. When I retired, I was determined to have a fortress balance sheet, which
saved me more than a little bit of anxiety during the 2008 financial crisis.
Once passed, as my wealth increased, I began increasing my risk levels, but
retaining a core fortress balance sheet.
The authors take the Jane Austin view that a critical
measure of wealth is the income derived from it. Hence, they conceptually like
annuities, if only they could be structured in a transparent and low fee way.
In today’s financial marketplace that is a tall order. My problem with
annuities is that they cause confusion between the return on capital
with the return of capital.
If you follow Haghani’s and White’s advice you would
today be cautious about the prospect for long-term returns from today’s stock
market. At this writing the earnings yield of the Case-Shiller price-earnings
ratio is 3.39% while the five-year TIPS yield is 2.35%. A real equity risk
premium of a meagre 1.04% has historically led to very poor future returns.
There is much more in this book, but my guess is that
the lay reader would find it a difficult go. On the other hand, a reader with financial
training will gain much insight.
For the full amazon URL see: Utility vs. Wealth Maximization (amazon.com)