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:
  • Looking at the total return of 65.4% 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 (115.6%)
  • During the last 3 years, the total return, or performance is 26.8%, which is lower, thus worse than the value of 42.9% 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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (16.6%) in the period of the last 5 years, the annual performance (CAGR) of 10.6% of Dr. Bernstein's No Brainer Portfolio is lower, thus worse.
  • Compared with SPY (12.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 8.3% is lower, thus worse.

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 historical 30 days volatility of 13.6% 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 (17.9%)
  • Looking at historical 30 days volatility in of 14% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (18.6%).

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (12.5%) in the period of the last 5 years, the downside risk of 9.4% of Dr. Bernstein's No Brainer Portfolio is lower, thus better.
  • Looking at downside volatility in of 9.6% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (12.7%).

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

Using this definition on our asset we see for example:
  • The risk / return profile (Sharpe) over 5 years of Dr. Bernstein's No Brainer Portfolio is 0.6, which is lower, thus worse compared to the benchmark SPY (0.79) in the same period.
  • During the last 3 years, the Sharpe Ratio is 0.41, which is lower, thus worse than the value of 0.55 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.'

Using this definition on our asset we see for example:
  • Looking at the downside risk / excess return profile of 0.86 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 (1.13)
  • During the last 3 years, the downside risk / excess return profile is 0.6, which is lower, thus worse than the value of 0.8 from the benchmark.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Which means for our asset as example:
  • Compared with the benchmark SPY (8.46 ) in the period of the last 5 years, the Ulcer Ratio of 8.75 of Dr. Bernstein's No Brainer Portfolio is greater, thus worse.
  • During the last 3 years, the Ulcer Index is 4.68 , which is lower, thus better than the value of 5.79 from the benchmark.

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 -24.4 days of Dr. Bernstein's No Brainer Portfolio is larger, thus better.
  • Looking at maximum drop from peak to valley in of -14.5 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-18.8 days).

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:
  • Looking at the maximum time in days below previous high water mark of 582 days in the last 5 years of Dr. Bernstein's No Brainer Portfolio, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
  • Looking at maximum time in days below previous high water mark in of 185 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (199 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.'

Applying this definition to our asset in some examples:
  • Looking at the average time in days below previous high water mark of 158 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 (119 days)
  • Compared with SPY (46 days) in the period of the last 3 years, the average time in days below previous high water mark of 44 days is lower, thus better.

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.