Description

Dr. William Bernstein is a physician and neurologist as well as a financial adviser to high net worth individuals. This one's so simple: Allocate 25% in each of four index funds diversified across basic categories.

The no-brainer portfolio comprises the following fund allocation:

25% in Vanguard 500 Index VFINX (NYSEARCA:IVW)

25% in Vanguard Small Cap NAESX or VTMSX (NYSEARCA:VB)

25% in Vanguard Total International VGTSX or VTMGX (EFA, VEA)

25% in Vanguard Total Bond VBMFX or VBISX (NASDAQ:BND)

Statistics (YTD)

What do these metrics mean? [Read More] [Hide]

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Which means for our asset as example:
  • Compared with the benchmark SPY (95.7%) in the period of the last 5 years, the total return, or increase in value of 46.7% of Dr. Bernstein's No Brainer Portfolio is smaller, thus worse.
  • During the last 3 years, the total return, or increase in value is 50.4%, which is lower, thus worse than the value of 83.1% from the benchmark.

CAGR:

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:
  • Looking at the annual performance (CAGR) of 8% in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (14.4%)
  • Compared with SPY (22.4%) in the period of the last 3 years, the annual return (CAGR) of 14.6% is lower, thus worse.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the volatility of 13% of Dr. Bernstein's No Brainer Portfolio is lower, thus better.
  • During the last 3 years, the volatility is 11.4%, which is lower, thus better than the value of 15.4% from the benchmark.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

Which means for our asset as example:
  • The downside risk over 5 years of Dr. Bernstein's No Brainer Portfolio is 9%, which is lower, thus better compared to the benchmark SPY (11.8%) in the same period.
  • During the last 3 years, the downside deviation is 7.7%, which is lower, thus better than the value of 10.3% from the benchmark.

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Which means for our asset as example:
  • Looking at the risk / return profile (Sharpe) of 0.42 in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.7)
  • Compared with SPY (1.29) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.06 is lower, thus worse.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Applying this definition to our asset in some examples:
  • Looking at the downside risk / excess return profile of 0.61 in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.01)
  • Looking at ratio of annual return and downside deviation in of 1.58 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.94).

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Applying this definition to our asset in some examples:
  • The Ulcer Ratio over 5 years of Dr. Bernstein's No Brainer Portfolio is 8.71 , which is higher, thus worse compared to the benchmark SPY (8.42 ) in the same period.
  • Compared with SPY (3.51 ) in the period of the last 3 years, the Ulcer Index of 2.98 is smaller, thus better.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -24.3 days of Dr. Bernstein's No Brainer Portfolio is larger, thus better.
  • During the last 3 years, the maximum drop from peak to valley is -12.5 days, which is higher, thus better than the value of -18.8 days from the benchmark.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

Using this definition on our asset we see for example:
  • The maximum days under water over 5 years of Dr. Bernstein's No Brainer Portfolio is 582 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
  • Looking at maximum time in days below previous high water mark in of 94 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

Which means for our asset as example:
  • Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days below previous high of 157 days of Dr. Bernstein's No Brainer Portfolio is larger, thus worse.
  • Looking at average time in days below previous high water mark in of 23 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (21 days).

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

  • Note that yearly returns do not equal the sum of monthly returns due to compounding.
  • Performance results of Dr. Bernstein's No Brainer Portfolio are hypothetical and do not account for slippage, fees or taxes.
  • Results may be based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.