'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 (61.3%) in the period of the last 5 years, the total return of 96% of Linear Technology is greater, thus better.
- Compared with SPY (31.6%) in the period of the last 3 years, the total return, or performance of 36% is greater, 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 14.4% of Linear Technology is larger, thus better.
- Looking at annual performance (CAGR) in of 10.8% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (9.6%).

'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 30 days standard deviation over 5 years of Linear Technology is 23.9%, which is larger, thus worse compared to the benchmark SPY (20.8%) in the same period.
- During the last 3 years, the volatility is 26.8%, which is greater, thus worse than the value of 24% 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.'

Using this definition on our asset we see for example:- The downside volatility over 5 years of Linear Technology is 13.9%, which is lower, thus better compared to the benchmark SPY (15.3%) in the same period.
- During the last 3 years, the downside volatility is 14.9%, which is smaller, thus better than the value of 17.6% from the benchmark.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.36) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.5 of Linear Technology is larger, thus better.
- During the last 3 years, the risk / return profile (Sharpe) is 0.31, which is larger, thus better than the value of 0.3 from the benchmark.

'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 excess return divided by the downside deviation of 0.86 in the last 5 years of Linear Technology, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.49)
- Looking at ratio of annual return and downside deviation in of 0.56 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.4).

'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:- Compared with the benchmark SPY (7.61 ) in the period of the last 5 years, the Ulcer Index of 9.19 of Linear Technology is larger, thus worse.
- Looking at Ulcer Index in of 11 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (8.93 ).

'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:- The maximum drop from peak to valley over 5 years of Linear Technology is -25.8 days, which is higher, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum DrawDown of -25.8 days is greater, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (185 days) in the period of the last 5 years, the maximum days below previous high of 583 days of Linear Technology is higher, thus worse.
- Looking at maximum time in days below previous high water mark in of 583 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (185 days).

'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.'

Using this definition on our asset we see for example:- Looking at the average days below previous high of 168 days in the last 5 years of Linear Technology, we see it is relatively greater, thus worse in comparison to the benchmark SPY (46 days)
- During the last 3 years, the average time in days below previous high water mark is 237 days, which is larger, thus worse than the value of 44 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 Linear Technology 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.