The Second Grader's Starter Portfolio is a Lazy Portfolio proposed by Paul Farrell. It was meant as a portfolio solution to a very small investor, with a long investment horizon. Farrell gives an example of 8-year old Kevin who got a $10,000 gift form his gramdmother. With a time horizon of 30+ years, the portfolio uses no load, low-cost index funds. It splits the money into 60% Total Stock Market Index, 30% Total International Stock and 10% Total Bond Market Index. The portfolio can be constructed using ETFs such as Vanguard Total Stock Market Index - VTI, iShares MSCI EAFE International Index - EFA and iShares Lehman Aggregate Bond Index - AGG.

Using mutual funds: VBMFX=10%, VGTSX=30%, VTSMX=60%

Using ETFs: AGG=10%, EFA=30%, SPY=60%

The backtest uses allocation to ETFs.

'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:- The total return, or increase in value over 5 years of Second Grader's Starter is 95.7%, which is lower, thus worse compared to the benchmark SPY (133.2%) in the same period.
- During the last 3 years, the total return, or increase in value is 61.5%, which is lower, thus worse than the value of 80.4% from the benchmark.

'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:- Compared with the benchmark SPY (18.5%) in the period of the last 5 years, the annual performance (CAGR) of 14.4% of Second Grader's Starter is lower, thus worse.
- Compared with SPY (21.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 17.3% is lower, thus worse.

'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 30 days standard deviation of 15.9% in the last 5 years of Second Grader's Starter, we see it is relatively lower, thus better in comparison to the benchmark SPY (18.7%)
- Compared with SPY (22.4%) in the period of the last 3 years, the 30 days standard deviation of 19% is smaller, thus better.

'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:- Compared with the benchmark SPY (13.6%) in the period of the last 5 years, the downside volatility of 11.7% of Second Grader's Starter is smaller, thus better.
- Looking at downside risk in of 14% in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (16.2%).

'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:- Looking at the Sharpe Ratio of 0.75 in the last 5 years of Second Grader's Starter, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.85)
- Looking at ratio of return and volatility (Sharpe) in of 0.78 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.86).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (1.18) in the period of the last 5 years, the ratio of annual return and downside deviation of 1.01 of Second Grader's Starter is lower, thus worse.
- Compared with SPY (1.19) in the period of the last 3 years, the excess return divided by the downside deviation of 1.06 is smaller, thus worse.

'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 (5.59 ) in the period of the last 5 years, the Downside risk index of 5.21 of Second Grader's Starter is lower, thus better.
- Looking at Ulcer Ratio in of 5.8 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (6.36 ).

'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.'

Applying this definition to our asset in some examples:- The maximum DrawDown over 5 years of Second Grader's Starter is -30.3 days, which is larger, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum reduction from previous high is -30.3 days, which is greater, thus better than the value of -33.7 days from the benchmark.

'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:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 309 days of Second Grader's Starter is larger, thus worse.
- Looking at maximum days below previous high in of 133 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (119 days).

'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:- Compared with the benchmark SPY (32 days) in the period of the last 5 years, the average time in days below previous high water mark of 61 days of Second Grader's Starter is greater, thus worse.
- Compared with SPY (25 days) in the period of the last 3 years, the average days below previous high of 27 days is higher, 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 Second Grader's Starter are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.