Recently, friends mentioned that their periodic meeting with
their investment advisor happened to coincide with their decision to purchase a
new car. The investment advisor recommended that they take the dealer’s 0.9% financing
because “our portfolio is doing a lot better than that.”
Which ignores the point that taking out the loan will
leverage their portfolio. If levering up portfolio
returns was such a good thing, why had they not discussed that as a strategy
before? Investments exist that can provide leverage without the
portfolio itself borrowing money.
So, back to my friends’ situation.
Looking only at long-term averages, borrowing at 0.9% to
invest in the markets is a winner. After all, any reasonable mix of stocks and
bonds has done much better than that over the last few years, and is expected
to earn more than 0.9% for any given future year. Unfortunately every year is
unique; averages are only the place from which standard deviations start, not
the actual results.
For discussion purposes only, and not to reflect my friends’
actual finances (of which I have no knowledge), let’s assume a balanced portfolio
of 60% stocks and 40% bonds, and that the price of the car is equal to 5% of
the portfolio value. Here are two alternatives:
- Sell off 5% of the portfolio and buy the car in cash.
- Borrow 5% of the portfolio from the dealer at 0.9% and each month sell enough of the portfolio to make the car payment.
The value of the portfolio at the end of 2014 using the
pay-in cash-approach will be P1 = [.95 *P0 * (1+R)]
And taking the 0.9% car loan the value of the portfolio at
the end of 2014 will be: P1 = P0 * (1+R) - .05 * P0
* (1.009) = .95 * P0 * (1+R) + .05 * P0 * (1+R - 1.009) = [.95
* P0 * (1+R)] + .05 * P0 * (R - .009)
Comparing these two scenarios, we
see mathematically what we logically knew all along: as long as the actual
return (R) beats the 0.9% financing cost of the loan, we’re ahead. Mathematically,
this shows as difference between the two formulae: .05 * P0 * (R -
.009)
Paying cash and eschewing the car loan, my friends were
going to have a portfolio that went up or down solely based on their asset mix.
By taking the loan, my friends now changed their results. If the portfolio
earned more than 0.9% for the year, they would end up with more money at the
end of the year. Conversely, if the portfolio did not earn the 0.9% threshold,
they would have a lower portfolio value than would have been the case without
the loan.
This is what leveraging does. Given the loan is equal to 5%
of the portfolio, by taking the loan rather than paying in cash, we have
(1.00/.95) = 1.0526 times the earning power before we have to pay off the loan.
What are the chances that 2014 won’t provide an investment
return of at least 0.9%? I’ll tell you for sure on December 31, 2014. In the
meantime we can look at past results as an indication of what 2014 may bring.
According to dshort.com [http://advisorperspectives.com/dshort/guest/BP-130220-Keeping-It-Real.php]
there is a 35% chance of a balanced portfolio losing value in any given year.
The maximum one-year loss on a balanced portfolio (so far) has been 35%. That
would feel terrible, but after taking the loan we’ll actually lose closer to 37%.
Of course the best year in the past produced a gain of 89%,
which with the leverage would increase to almost 93.6%.
In most years, the investment return will range between plus
or minus 10%, which with leverage translate to a range of -10.6% to +10.5%. The
loan/no loan difference is hardly earth shattering. Due
to the law of diminishing returns, the extra gain caused by increased leverage
won’t make us feel much better. If the markets went up 89%, we would
only feel marginally better earning 94%. However, if we lose more money than we
otherwise would have—especially those of us who are retired and don’t have the
ability to replace lost investments through earnings, that can hurt. It hurts a
bit monetarily, but even more psychologically. We tend
to beat ourselves up about bad decisions much more than we give ourselves
credit for good decisions.
Everyone can make their own choice about leverage. As a
retiree with a sufficient portfolio to live in a manner that is acceptable to
me, my risk concerns revolve around bad things happening to my portfolio, not whether
someone else made more money than I did in the market.
It won’t surprise you that I paid cash for my car.
~ Jim