'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 performance of 24.9% in the last 5 years of Charter Communications, we see it is relatively lower, thus worse in comparison to the benchmark SPY (67.8%)
- Looking at total return, or performance in of -38.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (44.5%).

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (10.9%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 4.6% of Charter Communications is lower, thus worse.
- Compared with SPY (13.1%) in the period of the last 3 years, the annual return (CAGR) of -15.1% 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:- Looking at the volatility of 31.6% in the last 5 years of Charter Communications, we see it is relatively greater, thus worse in comparison to the benchmark SPY (21.4%)
- During the last 3 years, the volatility is 31.9%, which is greater, thus worse than the value of 18.8% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the downside volatility of 22.5% in the last 5 years of Charter Communications, we see it is relatively larger, thus worse in comparison to the benchmark SPY (15.4%)
- Looking at downside volatility in of 23.9% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (13.3%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.39) in the period of the last 5 years, the Sharpe Ratio of 0.06 of Charter Communications is lower, thus worse.
- Compared with SPY (0.56) in the period of the last 3 years, the Sharpe Ratio of -0.55 is lower, thus worse.

'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.'

Which means for our asset as example:- Looking at the downside risk / excess return profile of 0.09 in the last 5 years of Charter Communications, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.55)
- During the last 3 years, the ratio of annual return and downside deviation is -0.73, which is lower, thus worse than the value of 0.79 from the benchmark.

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (9.46 ) in the period of the last 5 years, the Downside risk index of 26 of Charter Communications is larger, thus worse.
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Ratio of 34 is higher, 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -63.1 days of Charter Communications is smaller, thus worse.
- 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 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 436 days in the last 5 years of Charter Communications, we see it is relatively larger, thus worse in comparison to the benchmark SPY (352 days)
- Compared with SPY (352 days) in the period of the last 3 years, the maximum days under water of 436 days is larger, thus worse.

'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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of Charter Communications is 100 days, which is higher, thus worse compared to the benchmark SPY (78 days) in the same period.
- Looking at average days under water in of 147 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (102 days).

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.