'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Which means for our asset as example:- Compared with the benchmark SPY (68.7%) in the period of the last 5 years, the total return of 172.9% of Charter Communications is larger, thus better.
- During the last 3 years, the total return is 62.7%, which is larger, thus better than the value of 47.9% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The compounded annual growth rate (CAGR) over 5 years of Charter Communications is 22.3%, which is larger, thus better compared to the benchmark SPY (11%) in the same period.
- Looking at annual performance (CAGR) in of 17.7% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (14%).

'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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Charter Communications is 27.9%, which is higher, thus worse compared to the benchmark SPY (13.3%) in the same period.
- Looking at 30 days standard deviation in of 27.9% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (12.5%).

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Which means for our asset as example:- Looking at the downside deviation of 26.9% in the last 5 years of Charter Communications, we see it is relatively larger, thus worse in comparison to the benchmark SPY (14.6%)
- Compared with SPY (14.2%) in the period of the last 3 years, the downside deviation of 26.9% 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.'

Applying this definition to our asset in some examples:- Looking at the Sharpe Ratio of 0.71 in the last 5 years of Charter Communications, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.64)
- Looking at Sharpe Ratio in of 0.54 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.91).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.58) in the period of the last 5 years, the downside risk / excess return profile of 0.73 of Charter Communications is larger, thus better.
- During the last 3 years, the ratio of annual return and downside deviation is 0.56, which is lower, thus worse than the value of 0.81 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:- The Ulcer Ratio over 5 years of Charter Communications is 13 , which is larger, thus better compared to the benchmark SPY (3.96 ) in the same period.
- Looking at Downside risk index in of 16 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (4.01 ).

'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:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -35.1 days of Charter Communications is smaller, thus worse.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum drop from peak to valley of -35.1 days is lower, thus worse.

'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.'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 428 days in the last 5 years of Charter Communications, we see it is relatively larger, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum days below previous high in of 428 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 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.'

Which means for our asset as example:- Compared with the benchmark SPY (41 days) in the period of the last 5 years, the average time in days below previous high water mark of 101 days of Charter Communications is greater, thus worse.
- During the last 3 years, the average days below previous high is 136 days, which is larger, thus worse than the value of 36 days from the benchmark.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to 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.