Dr. William Bernstein is a physician and neurologist as well as a financial adviser to high net worth individuals. His smart money portfolio comprises the following fund allocation:

40% Vanguard Short Term Investment Grade VFSTX (SCJ, SHY)

15% Vanguard Total Stock Market VTSMX (NYSEARCA:VTI)

10% Vanguard Small Cap Value VISVX (NYSEARCA:VBR)

10% Vanguard Value Index VIVAX (NYSEARCA:VTV)

5% Vanguard Emerging Markets Stock VEIEX (NYSEARCA:VWO)

5% Vanguard European Stock VEURX (NYSEARCA:VEU)

5% Vanguard Pacific Stock VPACX (NYSEARCA:VPL)

5% Vanguard REIT Index VGSIX (RWX, VNQ)

5% Vanguard Small Cap Value NAESX or VTMSX (VB)

To summarize:

40% in U.S. equities

10% in international equities

5% in emerging market equities

5% in REITs

40% in fixed income

'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 37.6% in the last 5 years of Dr. Bernstein's Smart Money Portfolio, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (94.9%)
- Looking at total return in of 7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (22.5%).

'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.'

Using this definition on our asset we see for example:- Looking at the compounded annual growth rate (CAGR) of 6.6% in the last 5 years of Dr. Bernstein's Smart Money Portfolio, we see it is relatively lower, thus worse in comparison to the benchmark SPY (14.3%)
- During the last 3 years, the compounded annual growth rate (CAGR) is 2.3%, which is lower, thus worse than the value of 7% from the benchmark.

'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 30 days standard deviation over 5 years of Dr. Bernstein's Smart Money Portfolio is 12.1%, which is smaller, thus better compared to the benchmark SPY (20.9%) in the same period.
- Compared with SPY (17.5%) in the period of the last 3 years, the volatility of 10.1% is lower, thus better.

'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:- The downside deviation over 5 years of Dr. Bernstein's Smart Money Portfolio is 8.9%, which is lower, thus better compared to the benchmark SPY (15%) in the same period.
- Looking at downside risk in of 7.1% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (12.3%).

'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:- The risk / return profile (Sharpe) over 5 years of Dr. Bernstein's Smart Money Portfolio is 0.34, which is lower, thus worse compared to the benchmark SPY (0.56) in the same period.
- During the last 3 years, the ratio of return and volatility (Sharpe) is -0.02, which is lower, thus worse than the value of 0.26 from the benchmark.

'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:- Compared with the benchmark SPY (0.79) in the period of the last 5 years, the excess return divided by the downside deviation of 0.46 of Dr. Bernstein's Smart Money Portfolio is smaller, thus worse.
- During the last 3 years, the ratio of annual return and downside deviation is -0.03, which is lower, thus worse than the value of 0.37 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (9.32 ) in the period of the last 5 years, the Ulcer Index of 6.8 of Dr. Bernstein's Smart Money Portfolio is lower, thus better.
- Looking at Downside risk index in of 7.49 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (10 ).

'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.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of -24.3 days in the last 5 years of Dr. Bernstein's Smart Money Portfolio, we see it is relatively greater, thus better in comparison to the benchmark SPY (-33.7 days)
- Looking at maximum reduction from previous high in of -17.2 days in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (-24.5 days).

'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.'

Applying this definition to our asset in some examples:- The maximum days below previous high over 5 years of Dr. Bernstein's Smart Money Portfolio is 563 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
- Looking at maximum time in days below previous high water mark in of 563 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (488 days).

'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 Smart Money Portfolio, we see it is relatively greater, thus worse in comparison to the benchmark SPY (123 days)
- Compared with SPY (179 days) in the period of the last 3 years, the average days under water of 224 days is larger, thus worse.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Dr. Bernstein's Smart Money 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.