'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or increase in value of 170.4% in the last 5 years of Texas Instruments, we see it is relatively larger, thus better in comparison to the benchmark SPY (67.9%)
- Compared with SPY (46.6%) in the period of the last 3 years, the total return, or performance of 98.8% is higher, 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:- Looking at the annual performance (CAGR) of 22% in the last 5 years of Texas Instruments, we see it is relatively higher, thus better in comparison to the benchmark SPY (10.9%)
- Compared with SPY (13.6%) in the period of the last 3 years, the annual performance (CAGR) of 25.7% is higher, 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the volatility of 24.1% of Texas Instruments is greater, thus worse.
- Compared with SPY (12.5%) in the period of the last 3 years, the 30 days standard deviation of 24.1% is higher, 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 risk over 5 years of Texas Instruments is 26.2%, which is higher, thus worse compared to the benchmark SPY (14.6%) in the same period.
- During the last 3 years, the downside deviation is 27%, which is greater, thus worse than the value of 14.2% 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:- Looking at the ratio of return and volatility (Sharpe) of 0.81 in the last 5 years of Texas Instruments, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.64)
- During the last 3 years, the Sharpe Ratio is 0.96, which is greater, thus better than the value of 0.89 from the benchmark.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Using this definition on our asset we see for example:- The downside risk / excess return profile over 5 years of Texas Instruments is 0.75, which is larger, thus better compared to the benchmark SPY (0.58) in the same period.
- Compared with SPY (0.78) in the period of the last 3 years, the downside risk / excess return profile of 0.86 is larger, 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.'

Which means for our asset as example:- Looking at the Downside risk index of 8.16 in the last 5 years of Texas Instruments, we see it is relatively higher, thus better in comparison to the benchmark SPY (3.96 )
- Looking at Ulcer Index in of 7.83 in the period of the last 3 years, we see it is relatively larger, 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.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of -26.4 days in the last 5 years of Texas Instruments, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum reduction from previous high is -24.9 days, which is lower, thus worse than the value of -19.3 days from the benchmark.

'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 time in days below previous high water mark over 5 years of Texas Instruments is 306 days, which is greater, thus worse compared to the benchmark SPY (187 days) in the same period.
- During the last 3 years, the maximum days below previous high is 306 days, which is larger, thus worse than the value of 139 days from the benchmark.

'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 below previous high over 5 years of Texas Instruments is 70 days, which is larger, thus worse compared to the benchmark SPY (41 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 80 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 Texas Instruments 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.