Category: Investing Insight

Investing insight to make you a better investor.

Projecting Future Returns

Saving is a form of deferred consumption. You save today in order to consume tomorrow. Equities are a great place to park those savings when that “tomorrow” is measured over multiple years. Equity investments yield higher returns over bank deposits or bonds primarily because they are riskier. This risk shows up as a bigger variance in returns. When you save for a distant future, estimating this variance is important, lest you fall short of funds when that future finally arrives. Earlier, we had written about how path-dependency affects your eventual returns in The Path Dependency of SIP Returns (part of our Lumpsum or SIP? collection.) There, we used a simple trick used in statistics to show how by merely changing the arrival of returns changes the final IRR of a systematic investment plan (SIP, aka dollar cost averaging, DCA.)

The standard disclaimer on most investment products reads: Past Performance is Not Indicative of Future Results. While it is foolhardy to extend past returns infinitely into the future, you can use some of past returns’ statistical properties to model a range for scenarios for your investments. In the projections you see below:

  1. We used index data from 1991 through 2018, during which the markets have witnessed multiple boom-bust periods, scams and political events.
  2. We used monthly return series to avoid short-term daily and weekly variances.
  3. We used a Generalized Lambda Distribution to model those returns to avoid the pitfalls of using a normal distribution.
  4. We ran 10,000 simulations over a 20-year investment horizon – a typical saving period for retirement or children’s education.
  5. We looked at both lumpsum/onetime and SIP/DCA investment modes.

NIFTY 50 Rupee vs. Dollar

Most investors in India have a strong home-country bias and invest primarily in rupee assets. But if you are also considering future expenses that would require dollar-based funding (see: Funding Your Dollar Dreams), it makes sense to look at NIFTY 50 through a dollar colored lens. Here is how projected lumpsum/onetime 20-year investment on the NIFTY 50 looks like:
NIFTY50

Here is how projected lumpsum/onetime 20-year investment on the NIFTY 50 Dollar looks like:
NIFTY50DLR

Note that large difference in median returns between the two. This is primarily driven by the depreciation of the rupee which is related our rate of inflation and capital account situation. Also, dollar returns are skewed left.

NIFTY 50 Dollar vs. S&P 500

Given the higher risk that Indian investors bear, you would expect it to out-perform the staid old S&P 500. But compare the projected median returns of the two. Is the additional risk appropriately compensated?

Here is how projected lumpsum/onetime 20-year investment on the S&P 500 looks like:
SP500.GLD

The projected returns are in line with what we saw when we plotted returns vs. largest drawdowns of different country equity indices here. The higher risk one bears for investing in an emerging market doesn’t seem to be appropriately compensated when, on average, NIFTY 50 is expected to pay only 1% above S&P 500’s returns.

Lumpsum/onetime vs. SIP/DCA

Most investors buy through a monthly SIP/DCA setup to avoid timing the market and better match their income stream. Our projections show that they win by having shallower fat tails. Here are how SIP/DCA returns look like for all three indices:
NIFTY50.GLD.SIP-DCA
NIFTY50DLR.GLD.SIP-DCA
SP500.GLD.SIP-DCA

Conclusion

First, higher inflation tends to boost gross equity returns. However, higher inflation also marks a weaker currency. So what you gain in gross returns, you lose on the real returns. The difference between projected NIFTY 50 and NIFTY 50 Dollar returns captures this dynamic. This is something to keep in mind when you look at historical long-term returns of Indian equities.

Second, if past is prelude, if a conservative investor had to choose between NIFTY 50 and the S&P 500, he would choose the latter. The fat left tails and small risk premiums of the former are deal breakers.

Third, emerging markets are all about optionality. Note the differences in the right tails. A fatter right tail indicates that presence of more opportunities to skew the portfolio towards higher returns. So an aggressive investor would pick an active NIFTY 50 investment over the S&P 500.

Code and charts are on github.

Country Equity Index Drawdowns vs. Returns

Previously, we saw how US Midcaps have out-performed Indian midcaps in dollar terms (US vs. Indian Midcaps.) But that is only one part of a bigger question: How do Indian equities stack up with the rest of the world?

Here is a chart of peak drawdown (largest loss) vs. cumulative return for country equity total return NASDAQOMX indices:
NASDAQOMX.dd.vs.returns
India: red square. World: black triangle. Full key: here.

Sure, Indian equities have put up a decent show. However, they have by no means been the best market out there. Investors would have got similar returns but with a vastly lower drawdown if they had just bought a NASDAQ-100 ETF (XNDX on the chart, ETF ticker: QQQ). Moreover, diversifying and asset allocation strategies are cheaper in the US than in India – both in terms of management fees and tax impact.

Related: Funding Your Dollar Dreams.

Source: NASDAQOMX data from Quandl.

The Omega Ratio

We are all aware of the Sharpe Ratio – the ratio between excess return and risk. Mathematically, it is (average return - benchmark return)/standard deviation of excess returns. The main drawback of the Sharpe Ratio is that market returns have fat tails, skews and kurtosis. Numerous performance ratios have been proposed to take care of these “higher moments.” One of them is the Omega Ratio.

The math is a bit hairy. I encourage inquisitive readers to go through Quantdare’s post on this topic. It also has a link to the original paper.

However, using R to calculate Omega is straightforward enough. Here is how a plot of rolling 5-year Omega of the S&P 500 and NIFTY 50 Dollar indices looks like:
Omega of S&P 500 and NIFTY 50 USD

Is it really a step up from the original Sharpe Ratio?

Sharpe Ratio of S&P 500 and NIFTY 50 USD

Code and charts are on github.

Funding Your Dollar Dreams

Future dollar liabilities

Whether you are planning an international vacation, sending your kids to grad school abroad or immigrating on a millionaire visa, you need dollars to fund them. Think of them as future dollar liabilities. As an investor in India, the biggest problem is that Rupee returns may not be enough to purse your Dollar dreams.

Recently, we took a look at how US midcaps have out-performed Indian midcaps the last decade (here.) The risk is not only that Indian midcaps will under-perform but also that the Indian Rupee (INR) will continue on its downward trajectory vs. the dollar (USD)

Here is a chart of USDINR (in black) and NASDAQ India TR Index (NQINT, in red.) The NQINT index is a broad-based Indian equity dollar index. Between 2007-01-03 and 2018-12-31, the rupee has depreciated by an annualized rate of 3.89%. And measured in dollars, Indian equities have returned an annualized 6.02%.

Even though some actively managed Indian midcap funds have given similar returns to US midcaps, they have done so with vastly higher volatility. Here’s a similar chart of VO (Vanguard Mid-Cap ETF, black) vs. SBI Magnum Midcap Fund (red, dollar adjusted) for the same time-period:

VO is slightly ahead with an annualized 7.06% return vs. Magnum’s 6.12%. However, note the steep drawdowns of Magnum vs. VO.

Taking care of business

Assuming you apply a bit of prudence and allocate more and more to bonds as your get closer to your target date to reduce volatility, you still end up with a mismatch between your dollar liabilities/expenses vs. rupee assets. One way the solve this is to invest directly into US equity funds. You can do this one of two ways:

  1. Buy Fund-of-Funds (FoFs) that invest in US equity.
  2. Open a US brokerage account and buy a target-date fund directly.

The problem with buying an FoF is that the acronym also stands for “Fees-over-Fees,” given how you pay both for the wrapper and the biscuit inside. For example, the Franklin India Feeder – Franklin U.S. Opportunities Fund has an expense ratio of 1.74% (0.92%, if direct) to buy a mutual fund (Franklin U.S. Opportunities Fund I(acc)USD) that charges another 0.85% on top (FTI, MS.) Whereas, IUSG, an ETF that tracks its benchmark (Russell 3000 Growth,) has an expense ratio of only 0.04%. To make matters worse, the mutual fund has under-performed its benchmark (see).

Most investors are not aware of option #2. Opening a brokerage account in the US is pretty straightforward. TD Ameritrade does a pretty decent job of onboarding new accounts. But the problem is in transferring funds. While Indian brokerage accounts can be funded through a mouse click, transferring funds abroad requires some paper-and-leg-work. You need to fill out a bunch of forms and take it to your bank. But the process is worth it given the cost savings throughout the life of the investment and the breadth of choices available through this channel.

Target date funds

Most investors save with a specific goal in mind. Say, your kid is 5 years old and you want to fund his grad school abroad – a good 20 years away. The easiest and cheapest way to go about this is through Vanguard’s target date funds.

From their website:
Each Target Retirement Trust invests in several low-cost Vanguard index funds to create a broadly diversified mix of stocks and bonds. The year in a Target Retirement Trust’s name is its target date, the approximate year in which an investor in the trust expects to retire and leave the workforce. A Target Retirement Trust will hold more stocks the further it is from its target date, seeking stocks’ higher potential growth. To reduce risk as the target date approaches, Vanguard’s investment managers will gradually decrease the trust’s stock holdings and increase its bond holdings.

Given that we are in 2019, you can just buy the Vanguard Target Retirement 2035 Trust and average into to it for the next 20 years to fund your kid’s education abroad.

Conclusion

Your dreams grow along with your income, if not faster. If those dreams involve international travel or studies, it makes sense to bite the bullet today and start saving for your dollar dreams in dollars. It is cheaper, over the long run, to do so through a US brokerage account.

Disclaimer: This blog post is for informational purposes alone. Do not treat this as investment advice.

Country Index Returns 2018

NASDAQ OMX indices are a great way to get same currency, apples-to-apples datasets. Here are the country specific total-return index returns (key) for 2018:
INDEX-NQ.absolute

And here are returns relative to the NASDAQ Global TR Index (NQGIT):
INDEX-NQ.NQGIT

Russia, dinged by US sanctions and a stalling economy, surprisingly put in one of the best equity returns.

Code and charts are on github.