'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:- Looking at the total return of -56.8% in the last 5 years of Liberty Global plc, we see it is relatively lower, thus worse in comparison to the benchmark SPY (88%)
- During the last 3 years, the total return, or increase in value is -39.2%, which is lower, thus worse than the value of 39.5% 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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.5%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of -15.4% of Liberty Global plc is smaller, thus worse.
- Looking at annual performance (CAGR) in of -15.3% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (11.7%).

'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:- Compared with the benchmark SPY (18.8%) in the period of the last 5 years, the volatility of 34.8% of Liberty Global plc is larger, thus worse.
- Looking at 30 days standard deviation in of 36% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (22.3%).

'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:- The downside volatility over 5 years of Liberty Global plc is 25.1%, which is greater, thus worse compared to the benchmark SPY (13.7%) in the same period.
- Looking at downside risk in of 25% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (16.5%).

'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 -0.52 in the last 5 years of Liberty Global plc, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.58)
- Compared with SPY (0.41) in the period of the last 3 years, the Sharpe Ratio of -0.49 is smaller, 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.'

Using this definition on our asset we see for example:- The ratio of annual return and downside deviation over 5 years of Liberty Global plc is -0.71, which is smaller, thus worse compared to the benchmark SPY (0.8) in the same period.
- Looking at excess return divided by the downside deviation in of -0.71 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.56).

'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:- The Ulcer Ratio over 5 years of Liberty Global plc is 40 , which is greater, thus worse compared to the benchmark SPY (5.79 ) in the same period.
- Looking at Downside risk index in of 34 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (7.08 ).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -67.7 days of Liberty Global plc is smaller, thus worse.
- Looking at maximum DrawDown in of -59.5 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 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 time in days below previous high water mark of 1260 days in the last 5 years of Liberty Global plc, we see it is relatively greater, thus worse in comparison to the benchmark SPY (139 days)
- Looking at maximum days under water in of 666 days in the period of the last 3 years, we see it is relatively larger, 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.'

Applying this definition to our asset in some examples:- Looking at the average days under water of 631 days in the last 5 years of Liberty Global plc, we see it is relatively larger, thus worse in comparison to the benchmark SPY (37 days)
- Looking at average days below previous high in of 301 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (45 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 Liberty Global plc 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.