'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.'

Using this definition on our asset we see for example:- The total return over 5 years of AstraZeneca PLC is 96.9%, which is larger, thus better compared to the benchmark SPY (88.1%) in the same period.
- Compared with SPY (26.1%) in the period of the last 3 years, the total return of 44% is larger, thus better.

'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 (13.5%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 14.5% of AstraZeneca PLC is larger, thus better.
- Compared with SPY (8.1%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 12.9% is larger, thus better.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the volatility of 26.1% of AstraZeneca PLC is larger, thus worse.
- Compared with SPY (17.3%) in the period of the last 3 years, the historical 30 days volatility of 23.6% is larger, thus worse.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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:- The downside deviation over 5 years of AstraZeneca PLC is 18.2%, which is larger, thus worse compared to the benchmark SPY (15%) in the same period.
- Compared with SPY (12.1%) in the period of the last 3 years, the downside deviation of 16.7% is higher, 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.'

Using this definition on our asset we see for example:- Looking at the ratio of return and volatility (Sharpe) of 0.46 in the last 5 years of AstraZeneca PLC, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.52)
- Looking at Sharpe Ratio in of 0.44 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.32).

'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.'

Using this definition on our asset we see for example:- Looking at the excess return divided by the downside deviation of 0.66 in the last 5 years of AstraZeneca PLC, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.73)
- Compared with SPY (0.46) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.63 is greater, thus better.

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 9.43 in the last 5 years of AstraZeneca PLC, we see it is relatively greater, thus worse in comparison to the benchmark SPY (9.33 )
- Compared with SPY (10 ) in the period of the last 3 years, the Downside risk index of 9.3 is smaller, thus better.

'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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -24.9 days of AstraZeneca PLC is greater, thus better.
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -24.9 days is smaller, 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). 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:- The maximum days under water over 5 years of AstraZeneca PLC is 246 days, which is smaller, thus better compared to the benchmark SPY (488 days) in the same period.
- Looking at maximum time in days below previous high water mark in of 246 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (488 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:- The average days under water over 5 years of AstraZeneca PLC is 74 days, which is smaller, thus better compared to the benchmark SPY (123 days) in the same period.
- Looking at average days under water in of 79 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (179 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 AstraZeneca 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.