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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (99.7%) in the period of the last 5 years, the total return of 48.2% of Dr. Bernstein's No Brainer Portfolio is lower, thus worse.
  • During the last 3 years, the total return, or increase in value is 47.8%, which is lower, thus worse than the value of 81% from the benchmark.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (14.9%) in the period of the last 5 years, the annual return (CAGR) of 8.2% of Dr. Bernstein's No Brainer Portfolio is lower, thus worse.
  • Looking at compounded annual growth rate (CAGR) in of 14% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (22%).

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.'

Which means for our asset as example:
  • The 30 days standard deviation over 5 years of Dr. Bernstein's No Brainer Portfolio is 13%, which is smaller, thus better compared to the benchmark SPY (17.1%) in the same period.
  • Compared with SPY (15.5%) in the period of the last 3 years, the historical 30 days volatility of 11.5% is lower, thus better.

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.'

Applying this definition to our asset in some examples:
  • The downside volatility over 5 years of Dr. Bernstein's No Brainer Portfolio is 9%, which is smaller, thus better compared to the benchmark SPY (11.8%) in the same period.
  • Compared with SPY (10.4%) in the period of the last 3 years, the downside risk of 7.8% is lower, thus better.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Applying this definition to our asset in some examples:
  • The risk / return profile (Sharpe) over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.44, which is lower, thus worse compared to the benchmark SPY (0.73) in the same period.
  • Compared with SPY (1.26) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1 is lower, thus worse.

Sortino:

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Which means for our asset as example:
  • The ratio of annual return and downside deviation over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.64, which is smaller, thus worse compared to the benchmark SPY (1.05) in the same period.
  • Looking at excess return divided by the downside deviation in of 1.48 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.89).

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Downside risk index of 8.71 of Dr. Bernstein's No Brainer Portfolio is higher, thus worse.
  • Looking at Downside risk index in of 3.01 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (3.57 ).

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 reduction from previous high of -24.3 days of Dr. Bernstein's No Brainer Portfolio is greater, thus better.
  • 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 Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Which means for our asset as example:
  • The maximum days under water over 5 years of Dr. Bernstein's No Brainer Portfolio is 582 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
  • Compared with SPY (87 days) in the period of the last 3 years, the maximum days below previous high of 94 days is larger, thus worse.

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:
  • The average time in days below previous high water mark over 5 years of Dr. Bernstein's No Brainer Portfolio is 157 days, which is higher, thus worse compared to the benchmark SPY (120 days) in the same period.
  • Compared with SPY (21 days) in the period of the last 3 years, the average days below previous high of 23 days is greater, thus worse.

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.