Sunday, September 26, 2010

Can you time the market?

Key Points
> A range bound stock market has left some investors on the sidelines waiting for the next rally

> We conducted a study of historical returns for the Sensex between 1980 and 2009 to test the benefits and detriments of timing the market

> Avoiding the ten worst months resulted in an annualized 26% return, versus the annualized 18.4% return for remaining invested from 1980 to 2009

> Excluding the ten worst days of performance in twenty nine years, annualized return improved to 22.4%

> On the other hand, missing out on the ten best months and ten best days gave annualized returns of 9.4% and 14.2% respectively

> Monthly returns were concentrated between -5% and 5% for a majority of the time

> The results suggest that market timing can be a risky strategy which may severely impact returns, if one misses out on the best days or months of market performance

After some heady gains from the lows of March 2009, the BSE Sensex has been trading in a range bound fashion since September 2009. Investors have seen the index `trapped` between 15,500 and 17,500 points i.e., in a trading range of about 13% over the past three months.

With this limited movement in the stock markets since the past few months, some investors may be tempted to sit on the sidelines, waiting for the next upward movement before investing in the stock market.

Is the practice of trying to time the market really the best option? Let us evaluate it!

Market timing study

We consider the historical data for the BSE Sensex to capture the numerous economic cycles between 1980 and 2009. The purpose is to monitor the stock market outperformance of an investor who has managed to avoid either daily or monthly declines in the market.

Table 1 shows the returns obtained by missing the best and worst ten days, as well as the best and the worst ten months for the entire period (end of December 1979 to end of October 2009).

The Sensex during this period has given an annualized 20.09% returns over the twenty nine year period. Thus, a rupee invested in the Sensex back in December 1979 would be worth Rs 134.53 at the end of October 2009.

Table 1: Value of Rs. 1 invested in the SENSEX since 1980 with different scenarios

End of October 2009
Annualised Return
SENSEX
Rs. 134.53
18.4%
avoiding all negative months
Rs. 15,54,338.71
63.5%
avoiding all negative days
Rs. 13,322,431,291,963,800,000
356.5%
Source: Bloomberg, Fundsupermart.com Compilations


Chart 1: Outliers can make a huge difference!

Taking the study further, we calculated the hypothetical returns if an investor managed to avoid all negative months while investing during this entire twenty nine year period (158 negative months out of the 368 months in the period under study). Such an investor would have grown a single rupee into more than Rs 1.55 million in twenty nine years.

How about an investor who has managed to avoid all the days when the markets have ended in red while invested during this twenty nine year period? The net worth of such an investor would have stood at over Rs 13 quintillion, or a billion multiplied by a billion, an incredibly large figure (a quintillion is 1018). To put this figure in perspective, the total estimated global economic output was `just` USD 60.6 trillion in 2008, and 13 quintillion is almost 0.26 million times bigger than the USD 60.6 trillion.
Setting more realistic expectations
The results we have derived so far suggest that the investors who can successfully time the market (either by month or by each day) may become a millionaire, or even the richest person in the universe. Obviously, the catch here is that it is practically impossible to time the market on a monthly basis with perfect accuracy over such a long period of time. Needless to say, timing the market with perfect precision on a daily basis over twenty nine years is perhaps an art best reserved for the almighty.

Table 2 shows the same study with more realistic scenarios. Four scenarios were tested, which we believe are plausible outcomes for an individual investor.

Table 2: Value of Re 1 invested in the SENSEX since 1980, with more realistic scenarios
End of October 2009
Annualized Return
SENSEX
Rs. 134.53
18.4%
missing top 10 months
Rs. 13.41
9.4%
missing top 10 days
Rs. 47.57
14.2%
avoiding worst 10 months
Rs. 812.58
26%
avoiding worst 10 days
Rs. 354.99
22.4%
Source: Bloomberg, Fundsupermart.com Compilations

Avoiding the `mines` or `potholes` obviously increased returns

Avoiding the ten worst months has increased the annualized returns from 18.4% to 26%, while avoiding the ten worst days increased the annualized returns to 22.4%. This is all well and good for an investor, but it certainly calls for the question: how does an investor manage to avoid these `potholes` in their investment journey?

But missing the best months or days severely impacted performance

Being unable to forecast the future, we believe that our study of missing out on the top ten months or top ten days may have more bearing on determining the investment approach. In the entire 368 months of study, it is surprising to note that missing out on the best ten of those months nearly halved the actual annualized return of the Sensex. On an absolute return basis, the 13,453% return of the Sensex was cut to just 1,341% as a result, a very paltry return for almost twenty nine years of investment.

Missing out on the best ten days of market performance in the entire eighty-two year period was less detrimental, but cut the annualized return to 14.2% versus the Sensex`s 18.4%. On a total return basis, this has translated to a 4,757% return.

Markets are `boring` a large part of the time

As shown in Chart 1, the monthly returns of the Sensex appear to be normally distributed, with 68% of the monthly returns in the range of -5% to 5%. These are the periods where markets are considered `boring` and often trade in a range bound fashion. However, we believe that the investors should be more excited about the positive occurrences (those on the right side of Chart 1), and should ensure that their portfolios benefit when such hefty gains occur.

Unless one is extremely lucky, the only way to ensure exposure to these positive periods of performance (just 11.5% of the months under study had a positive return of over 10%) is to remain invested in the stock market and avoid timing the market.

Staying invested is the better option

From the results, it appears that while getting market timing calls right (avoiding worst performing days or months), one can generate significantly better performance than the market return. On the other hand, missing out on the best days or months will hurt returns substantially.

Since no one can correctly forecast the direction of the market with precise accuracy, avoiding the worst periods of performance is not easy, and is sometimes an impossible task. Rather than trying to avoid the large negative-return outliers (shown on the left side of Chart 1), a task fraught with uncertainty, investors can choose to `accept` all the huge positive-return occurrences (on the right portion of Chart 1), a certainty if one stays invested in the market.

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