'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 over 5 years of Autodesk is 33.9%, which is lower, thus worse compared to the benchmark SPY (60.6%) in the same period.
- During the last 3 years, the total return, or performance is -10.4%, which is lower, thus worse than the value of 38% 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.'

Applying this definition to our asset in some examples:- Looking at the compounded annual growth rate (CAGR) of 6% in the last 5 years of Autodesk, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (10%)
- Compared with SPY (11.3%) in the period of the last 3 years, the annual performance (CAGR) of -3.6% is lower, thus worse.

'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:- Compared with the benchmark SPY (21.5%) in the period of the last 5 years, the volatility of 40.8% of Autodesk is greater, thus worse.
- Compared with SPY (17.9%) in the period of the last 3 years, the 30 days standard deviation of 38.6% is larger, thus worse.

'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 volatility over 5 years of Autodesk is 28.8%, which is greater, thus worse compared to the benchmark SPY (15.5%) in the same period.
- During the last 3 years, the downside volatility is 27.7%, which is higher, thus worse than the value of 12.5% from the benchmark.

'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 Sharpe Ratio of 0.09 in the last 5 years of Autodesk, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.35)
- Looking at Sharpe Ratio in of -0.16 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.49).

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Using this definition on our asset we see for example:- Looking at the ratio of annual return and downside deviation of 0.12 in the last 5 years of Autodesk, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.48)
- Looking at ratio of annual return and downside deviation in of -0.22 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.71).

'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:- Looking at the Ulcer Ratio of 25 in the last 5 years of Autodesk, we see it is relatively higher, thus worse in comparison to the benchmark SPY (9.55 )
- Looking at Downside risk index in of 31 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10 ).

'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:- The maximum DrawDown over 5 years of Autodesk is -52 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -52 days is lower, thus worse.

'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:- Looking at the maximum time in days below previous high water mark of 519 days in the last 5 years of Autodesk, we see it is relatively larger, thus worse in comparison to the benchmark SPY (431 days)
- Looking at maximum days below previous high in of 519 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (431 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.'

Using this definition on our asset we see for example:- The average days under water over 5 years of Autodesk is 140 days, which is larger, thus worse compared to the benchmark SPY (105 days) in the same period.
- During the last 3 years, the average days below previous high is 202 days, which is higher, thus worse than the value of 144 days from the benchmark.

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 Autodesk 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.