Sunday, January 6, 2019

Inverse leveraged funds: The destructive effect of sucker rallies


Summary

- One can make money shorting the market using inverse leveraged funds.

- Inverse leveraged funds are not for buy-and-hold investors.

- They are risky bets, which can lead to significant gains or losses.

- One key source of risk are upward rallies. This is demonstrated through spreadsheet-based simulations.

The performance of two inverse leveraged funds

The graph below shows the performance of two popular inverse leveraged funds () during a period of a little less than 20 days in December of 2018. They are available as exchange-traded funds (ETFs). One is the ProShares UltraPro Short S&P500 (SPXU), which tends to replicate the daily performance of the S&P 500 times -3. For example, if the S&P 500 drops 1 percent in one day, the fund goes up 3 percent. The other fund on the graph is the Direxion Daily Small Cap Bear 3X ETF (TZA), which tends to replicate the daily performance of the Russell 2000 index times -3.



I own shares of these two funds at the time of this writing. As you can see from the graph, if you invested in these funds during the period shown, your investment in SPXU would have gone up 31.41 percent. The investment in TZA would have gone up 44.99 percent. This is a period of time in which the S&P 500 had gone down 8.9 percent, and the Russell 2000 had gone down 11.9 percent. So, the SPXU and TZA performed even better than expected during the period. Due to daily compounding, they provided returns over a period of a little less than 20 days that were a bit better than the daily returns; i.e., more than 3 times the drops in the reference indexes.

How one would expect things to go

The screen snapshot below is for a spreadsheet-based simulation that shows how one could expect an investment in an inverse leveraged fund to perform during a period where the S&P 500 is losing value, but with ups and downs. The cells highlighted in yellow contain the settings of the simulation, which are: (a) the initial value invested; (b) the multiplier for the inverse fund; (c) the CBOE Volatility Index (VIX), which represents the expected percentage range of movement in the S&P 500 over the following year; and (d) the bottom range for the percentage variation in the S&P 500.



The “Day % variation” is the simulated daily percentage variation in the S&P 500, calculated based on the VIX value, which was set at 50. This value of VIX suggests a highly volatile market. The “Range (top)” value is calculated based on that daily percentage variation and on the “Range (bottom)” value. Both bottom and top range values define the range of daily variation, in percentage terms, for the S&P 500. Note that the daily variation has a negative bias. This is reflected in the values under “Day % gain”, which tend to lean toward the negative end of the range.

Overall, the S&P 500 goes down 6.61 percent over a period of 20 trading days, with moves up and down throughout that period. As you can see, we are trying to be realistic in our simulation. Neither market indexes nor individual stocks go down or up in a perfectly linear fashion. At the far right we see what happens with the inverse leveraged fund. The overall cumulative percentage gain ends up being 22.08 percent. This would probably be a positive surprise for an investor. This gain is higher than 19.83 percent (3 times 6.61), which one could expect based on the daily multiplier.

The destructive effect of “sucker” rallies

The problem is that often one sees an upward rally during periods where the S&P 500 is losing value. This is the case as well with other indexes and even individual stocks during bear markets. The screen snapshot below is for a simulation where the S&P 500 is losing value over a period of 20 days, but with two 5 percent upward rallies during that period (cells highlighted in yellow). Overall, the S&P 500 goes down one half of a percent over the period. The inverse leveraged fund, instead of going up, also goes down by 4.06 percent.



In this scenario the fund has performed worse than expected. Based on the daily performance of the fund, an investor could have expected a small positive return of about 0.15 percent. The reason for the unexpected poor performance is the counter-compounding effect that the two daily 15 percent drops have on the invested value. Those two daily drops correspond to the two daily 5 percent gains in the S&P 500.

So, you can make money shorting the market using inverse leveraged funds, but the probability that you will be successful doing so is small. This is due to three main reasons: (a) the stock market goes up much more often than it goes down; (b) even during periods when the stock market is going down, there are upward rallies; and (c) once the market moves from bear to bull, it typically stays like that for a while, which can completely wipe out the original investment due to reverse compounding.

Inverse leveraged funds are not for buy-and-hold investors. They are risky bets, which can lead to significant gains or losses. On the positive side, an investor will not lose more than the initial investment with these funds. This could happen if the investor tried to replicate the performance of the fund by shorting an index ETF or trading options borrowing from a margin account.