'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:- Compared with the benchmark SPY (94.8%) in the period of the last 5 years, the total return, or increase in value of 49.1% of Altaba is lower, thus worse.
- Looking at total return, or performance in of 77.4% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (31.6%).

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Using this definition on our asset we see for example:- Looking at the annual return (CAGR) of 8.5% in the last 5 years of Altaba, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (14.3%)
- During the last 3 years, the annual performance (CAGR) is 21.7%, which is higher, thus better than the value of 9.6% from the benchmark.

'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.'

Which means for our asset as example:- Looking at the historical 30 days volatility of 27.7% in the last 5 years of Altaba, we see it is relatively greater, thus worse in comparison to the benchmark SPY (20.9%)
- Looking at 30 days standard deviation in of 25.8% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (17.3%).

'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.'

Applying this definition to our asset in some examples:- Looking at the downside deviation of 19.3% in the last 5 years of Altaba, we see it is relatively larger, thus worse in comparison to the benchmark SPY (15%)
- Looking at downside volatility in of 17.5% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.1%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.56) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.22 of Altaba is smaller, thus worse.
- Compared with SPY (0.41) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.74 is higher, thus better.

'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:- Compared with the benchmark SPY (0.79) in the period of the last 5 years, the downside risk / excess return profile of 0.31 of Altaba is lower, thus worse.
- Looking at excess return divided by the downside deviation in of 1.1 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.59).

'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:- The Ulcer Ratio over 5 years of Altaba is 21 , which is higher, thus worse compared to the benchmark SPY (9.33 ) in the same period.
- Looking at Ulcer Index in of 12 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'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 Altaba is -48.9 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum reduction from previous high is -32.6 days, which is smaller, thus worse than the value of -24.5 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:- Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 642 days of Altaba is greater, thus worse.
- Looking at maximum time in days below previous high water mark in of 331 days in the period of the last 3 years, we see it is relatively lower, 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.'

Applying this definition to our asset in some examples:- Looking at the average days under water of 224 days in the last 5 years of Altaba, we see it is relatively larger, thus worse in comparison to the benchmark SPY (123 days)
- Looking at average days below previous high in of 92 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 Altaba 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.