'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, or performance of 49.1% in the last 5 years of Altaba, we see it is relatively smaller, 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 performance of 77.4% 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 (10.9%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 8.5% of Altaba is lower, thus worse.
- Looking at annual return (CAGR) in of 21.7% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (13.1%).

'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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Altaba is 27.7%, which is greater, thus worse compared to the benchmark SPY (21.4%) in the same period.
- Compared with SPY (18.7%) in the period of the last 3 years, the historical 30 days volatility of 25.8% is greater, thus worse.

'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:- The downside volatility over 5 years of Altaba is 19.3%, which is greater, thus worse compared to the benchmark SPY (15.4%) in the same period.
- During the last 3 years, the downside risk is 17.5%, which is higher, thus worse than the value of 13.3% 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.39) in the period of the last 5 years, the Sharpe Ratio of 0.22 of Altaba is smaller, thus worse.
- Compared with SPY (0.56) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.74 is larger, 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:- Looking at the ratio of annual return and downside deviation of 0.31 in the last 5 years of Altaba, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.55)
- Looking at downside risk / excess return profile in of 1.1 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.79).

'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:- The Downside risk index over 5 years of Altaba is 21 , which is greater, thus worse compared to the benchmark SPY (9.47 ) in the same period.
- Looking at Ulcer Index in of 12 in the period of the last 3 years, we see it is relatively greater, 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:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -48.9 days of Altaba is lower, thus worse.
- During the last 3 years, the maximum reduction from previous high is -32.6 days, which is lower, 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) in days.'

Applying this definition to our asset in some examples:- Looking at the maximum days under water of 642 days in the last 5 years of Altaba, we see it is relatively larger, thus worse in comparison to the benchmark SPY (354 days)
- 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 (354 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:- Compared with the benchmark SPY (79 days) in the period of the last 5 years, the average days below previous high of 224 days of Altaba is higher, thus worse.
- During the last 3 years, the average time in days below previous high water mark is 92 days, which is smaller, thus better 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 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.