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 is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Applying this definition to our asset in some examples:
  • The total return over 5 years of Dr. Bernstein's No Brainer Portfolio is 48.5%, which is lower, thus worse compared to the benchmark SPY (98.9%) in the same period.
  • Looking at total return in of 47.1% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (78.8%).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (14.8%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 8.3% of Dr. Bernstein's No Brainer Portfolio is smaller, thus worse.
  • Looking at compounded annual growth rate (CAGR) in of 13.8% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (21.5%).

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.'

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

Using this definition on our asset we see for example:
  • Looking at the downside risk of 9% 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 (11.8%)
  • Compared with SPY (10.4%) in the period of the last 3 years, the downside volatility of 7.8% is smaller, thus better.

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 0.44 of Dr. Bernstein's No Brainer Portfolio is lower, thus worse.
  • Compared with SPY (1.22) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.98 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.'

Using this definition on our asset we see for example:
  • The downside risk / excess return profile over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.64, which is lower, thus worse compared to the benchmark SPY (1.04) in the same period.
  • Looking at downside risk / excess return profile in of 1.45 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.83).

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:
  • 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 larger, thus worse in comparison to the benchmark SPY (8.42 )
  • Looking at Ulcer Ratio in of 3.01 in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (3.57 ).

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 greater, thus better in comparison to the benchmark SPY (-24.5 days)
  • During the last 3 years, the maximum DrawDown 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.'

Applying this definition to our asset in some examples:
  • The maximum time in days below previous high water mark 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.
  • During the last 3 years, the maximum days under water is 94 days, which is greater, thus worse than the value of 87 days from the benchmark.

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:
  • The average days below previous high over 5 years of Dr. Bernstein's No Brainer Portfolio is 157 days, which is larger, thus worse compared to the benchmark SPY (119 days) in the same period.
  • During the last 3 years, the average days below previous high is 23 days, which is higher, thus worse than the value of 21 days from the benchmark.

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.