Many thanks to Sayan Sircar for helping me understand many concepts that led me to eventually write this blog post.
Ever since the Indian government decided to tax debt mutual fund gains at the slab rate, I have been struggling to decide on a course of action. My initial intuition was that we should invest in the chosen assets and not worry about taxes. Then I changed my mind and I was attracted towards “debt like” funds that invest a significant portion of the capital in arbitrage.
But I had a constant nagging in the back of my mind because:
- Arbitrage is constant work (for the fund management team) while debt funds are not as much work. I like the passive style of investing where “buy and hold” is the norm.
- Arbitrage may not make as much money in bear markets (since futures may not sell at a good premium).
Arbitrage behaves differently than bonds, and I don’t exactly want arbitrage in my long-term portfolio. Until today, this was mostly intuition, but now I have some data to back it up. To make sense of that data, we must first understand correlation.
A primer on correlation
Correlation quantifies how 2 different investment assets behave relative to each other. A correlation of 0 means uncorrelated. When one asset’s movement doesn’t affect the other, we say they are uncorrelated. Cash is uncorrelated with all other asset classes.
Positive correlation means the assets move in the same direction; negative correlation means the assets move in opposite directions. We don’t want the correlation to be close to +1.0, which means the 2 asset classes behave mostly the same. That means there is no effective diversification.
A correlation close to -1.0 means the 2 asset classes cancel each other’s appreciation and we’d often end up with net zero return. This may sound unappealing, but rebalancing such a portfolio can be very rewarding. (In other words, such portfolios offer high rebalancing bonuses.)
Correlation between a few Indian mutual fund categories
I tried to get data for a few decades, but my attempts failed. ValueResearch provides calendar year returns for the last 9 years (2016 through 2024) at the fund category level. 9 years is not a long time period, but this is probably okay since this period includes both low and high interest rate markets. One interest rate cycle is better than zero! 😅
The correlation between mutual fund categories are shown in the following table.
Large cap : Arbitrage | -0.0312 |
Flexicap : Arbitrage | -0.0114 |
Large cap : Liquid | -0.2562 |
Flexicap : Liquid | -0.2593 |
Large cap : Short duration | -0.1700 |
Flexicap : Short duration | -0.1264 |
Large cap : 10-year gilts | -0.3884 |
Flexicap : 10-year gilts | -0.3740 |
Large cap : Dynamic bond | -0.3593 |
Flexicap : Dynamic bond | -0.3017 |
I had the intuition that arbitrage was similar to cash. The data confirms my intuition since arbitrage has a correlation (with equity) very close to 0. Shorter duration debt funds have correlation closer to -0.25 while longer duration debt funds have correlation closer to -0.4. (The Short Duration category falling between liquid and arbitrage is probably an anomaly caused by the small sample size of data we are working with.)
This is the metric I had to see to convince myself that pure bond funds are a better asset class to mix with equity. The lower correlation with equity means that an equity+bonds portfolio will have lower drawdowns than an equity+arbitrage portfolio.
My recent analysis quantified that the difference in post-tax growth rate is in the range of 0.5% to 1.5% annually. The difference in growth rate reduces as the holding period gets longer and longer. If we assume that a dynamic bond fund returns 0.5% more on average than an arbitrage+bond fund, then the net corpus won’t be very different between the 2 options.
Conclusion
- Bonds, especially longer duration bonds, are a good asset to mix with equity. While arbitrage behaves like cash, bonds can provide meaningful downside protection (and provide meaningful rebalancing bonus).
- For holding periods of 2 or more decades, the post-tax growth rate of bond funds is not too far from the post-tax growth rate of arbitrage+bond funds (source).
- If we hold longer duration bond funds (such as dynamic bond funds), it is not unreasonable to expect that they’d yield 0.5% more return than arbitrage+bond funds. This further diminishes the difference in post-tax return.