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.'

Which means for our asset as example:
  • Looking at the total return, or increase in value of 43.3% 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 (97.4%)
  • During the last 3 years, the total return, or increase in value is 18.6%, which is lower, thus worse than the value of 44.7% from the benchmark.

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.'

Using this definition on our asset we see for example:
  • The compounded annual growth rate (CAGR) over 5 years of Dr. Bernstein's No Brainer Portfolio is 7.5%, which is smaller, thus worse compared to the benchmark SPY (14.6%) in the same period.
  • Looking at compounded annual growth rate (CAGR) in of 5.9% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (13.2%).

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Using this definition on our asset we see for example:
  • The historical 30 days volatility over 5 years of Dr. Bernstein's No Brainer Portfolio is 15.8%, which is smaller, thus better compared to the benchmark SPY (21%) in the same period.
  • Looking at historical 30 days volatility in of 13.7% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (17.4%).

DownVol:

'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:
  • Looking at the downside risk of 11.6% 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 (15%)
  • Compared with SPY (12.1%) in the period of the last 3 years, the downside volatility of 9.5% 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.'

Using this definition on our asset we see for example:
  • Looking at the ratio of return and volatility (Sharpe) of 0.31 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 (0.58)
  • Compared with SPY (0.61) in the period of the last 3 years, the Sharpe Ratio of 0.25 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 excess return divided by the downside deviation over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.43, which is smaller, thus worse compared to the benchmark SPY (0.8) in the same period.
  • Compared with SPY (0.88) in the period of the last 3 years, the excess return divided by the downside deviation of 0.36 is lower, thus worse.

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 Index over 5 years of Dr. Bernstein's No Brainer Portfolio is 9.58 , which is higher, thus worse compared to the benchmark SPY (9.33 ) in the same period.
  • Compared with SPY (8.63 ) in the period of the last 3 years, the Ulcer Ratio of 8.02 is lower, thus better.

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:
  • Looking at the maximum reduction from previous high of -28.2 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 (-33.7 days)
  • Looking at maximum drop from peak to valley in of -20.7 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-22.1 days).

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 583 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
  • During the last 3 years, the maximum days under water is 463 days, which is larger, thus worse than the value of 325 days from the benchmark.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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.'

Applying this definition to our asset in some examples:
  • Looking at the average time in days below previous high water mark of 160 days 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 (122 days)
  • Looking at average days under water in of 157 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (89 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.