'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.'

Using this definition on our asset we see for example:- Looking at the total return, or performance of 21.5% in the last 5 years of Charter Communications, we see it is relatively lower, thus worse in comparison to the benchmark SPY (80%)
- During the last 3 years, the total return, or increase in value is -38.6%, which is lower, thus worse than the value of 31.8% from the benchmark.

'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 (12.5%) in the period of the last 5 years, the annual return (CAGR) of 4% of Charter Communications is smaller, thus worse.
- Compared with SPY (9.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -15% is smaller, thus worse.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Using this definition on our asset we see for example:- The volatility over 5 years of Charter Communications is 31.5%, which is higher, thus worse compared to the benchmark SPY (21.3%) in the same period.
- Looking at historical 30 days volatility in of 32.6% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (17.6%).

'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:- Looking at the downside risk of 22.5% in the last 5 years of Charter Communications, we see it is relatively greater, thus worse in comparison to the benchmark SPY (15.3%)
- Compared with SPY (12.3%) in the period of the last 3 years, the downside deviation of 24.5% is larger, thus worse.

'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.'

Which means for our asset as example:- The risk / return profile (Sharpe) over 5 years of Charter Communications is 0.05, which is lower, thus worse compared to the benchmark SPY (0.47) in the same period.
- Looking at risk / return profile (Sharpe) in of -0.54 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.41).

'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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of 0.07 in the last 5 years of Charter Communications, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.66)
- Looking at downside risk / excess return profile in of -0.71 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.58).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (9.43 ) in the period of the last 5 years, the Ulcer Index of 31 of Charter Communications is higher, thus worse.
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Index of 40 is larger, thus worse.

'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:- The maximum reduction from previous high over 5 years of Charter Communications is -63.1 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum DrawDown in of -63.1 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-24.5 days).

'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 days below previous high of 564 days in the last 5 years of Charter Communications, we see it is relatively larger, thus worse in comparison to the benchmark SPY (480 days)
- During the last 3 years, the maximum days under water is 564 days, which is greater, thus worse than the value of 480 days from the benchmark.

'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:- The average days below previous high over 5 years of Charter Communications is 151 days, which is greater, thus worse compared to the benchmark SPY (119 days) in the same period.
- During the last 3 years, the average days below previous high is 228 days, which is greater, thus worse than the value of 174 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 Charter Communications 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.