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:

'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Using this definition on our asset we see for example:
  • Looking at the total return, or increase in value of 48.7% 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 (98.7%)
  • Compared with SPY (73.7%) in the period of the last 3 years, the total return, or performance of 44.5% is lower, thus worse.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Which means for our asset as example:
  • The annual performance (CAGR) over 5 years of Dr. Bernstein's No Brainer Portfolio is 8.3%, which is lower, thus worse compared to the benchmark SPY (14.8%) in the same period.
  • Looking at annual performance (CAGR) in of 13.2% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (20.3%).

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Using this definition on our asset we see for example:
  • Looking at the 30 days standard deviation of 13% in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively lower, thus better in comparison to the benchmark SPY (17.1%)
  • Looking at historical 30 days volatility in of 11.6% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (15.7%).

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 deviation 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.
  • Looking at downside risk in of 7.9% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (10.4%).

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (0.72) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.45 of Dr. Bernstein's No Brainer Portfolio is lower, thus worse.
  • During the last 3 years, the ratio of return and volatility (Sharpe) is 0.92, which is lower, thus worse than the value of 1.14 from the benchmark.

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Applying this definition to our asset in some examples:
  • The excess return divided by the downside deviation over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.65, which is lower, thus worse compared to the benchmark SPY (1.05) in the same period.
  • During the last 3 years, the ratio of annual return and downside deviation is 1.36, which is smaller, thus worse than the value of 1.71 from the benchmark.

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.'

Which means for our asset as example:
  • Looking at the Ulcer Ratio of 8.7 in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively greater, thus worse in comparison to the benchmark SPY (8.42 )
  • Compared with SPY (3.62 ) in the period of the last 3 years, the Ulcer Ratio of 3.02 is lower, thus better.

MaxDD:

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Using this definition on our asset we see for example:
  • Looking at the maximum DrawDown of -24.3 days in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively larger, thus better in comparison to the benchmark SPY (-24.5 days)
  • During the last 3 years, the maximum reduction from previous high 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:
  • Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 582 days of Dr. Bernstein's No Brainer Portfolio is higher, thus worse.
  • Looking at maximum days below previous high 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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average time in days below previous high water mark of 158 days of Dr. Bernstein's No Brainer Portfolio is larger, thus worse.
  • Looking at average days under water 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.