'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 of -42.1% in the last 5 years of Baidu, we see it is relatively lower, thus worse in comparison to the benchmark SPY (67.9%)
- Compared with SPY (44.5%) in the period of the last 3 years, the total return, or increase in value of 5.3% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.9%) in the period of the last 5 years, the annual performance (CAGR) of -10.4% of Baidu is lower, thus worse.
- During the last 3 years, the annual performance (CAGR) is 1.7%, which is lower, thus worse than the value of 13.1% from the benchmark.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:- Looking at the historical 30 days volatility of 52.3% in the last 5 years of Baidu, we see it is relatively higher, thus worse in comparison to the benchmark SPY (21.4%)
- During the last 3 years, the historical 30 days volatility is 60.3%, which is greater, thus worse than the value of 18.7% 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.'

Which means for our asset as example:- Looking at the downside volatility of 33.8% in the last 5 years of Baidu, we see it is relatively higher, thus worse in comparison to the benchmark SPY (15.4%)
- Compared with SPY (13.3%) in the period of the last 3 years, the downside deviation of 37.6% is higher, thus worse.

'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 risk / return profile (Sharpe) of -0.25 of Baidu is lower, thus worse.
- Compared with SPY (0.56) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.01 is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the downside risk / excess return profile of -0.38 in the last 5 years of Baidu, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.55)
- During the last 3 years, the ratio of annual return and downside deviation is -0.02, which is smaller, thus worse than the value of 0.79 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.'

Applying this definition to our asset in some examples:- Looking at the Downside risk index of 51 in the last 5 years of Baidu, we see it is relatively higher, thus worse in comparison to the benchmark SPY (9.47 )
- Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Ratio of 46 is greater, thus worse.

'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.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of Baidu is -77.5 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum DrawDown in of -77.5 days in the period of the last 3 years, we see it is relatively lower, 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'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (354 days) in the period of the last 5 years, the maximum days below previous high of 687 days of Baidu is greater, thus worse.
- Compared with SPY (354 days) in the period of the last 3 years, the maximum days under water of 503 days is greater, thus worse.

'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:- Looking at the average days under water of 293 days in the last 5 years of Baidu, we see it is relatively higher, thus worse in comparison to the benchmark SPY (79 days)
- During the last 3 years, the average time in days below previous high water mark is 194 days, which is higher, thus worse than the value of 102 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 Baidu 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.