'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 (66.7%) in the period of the last 5 years, the total return, or performance of 123.7% of Marriott International is higher, thus better.
- Looking at total return, or increase in value in of 101.2% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (46%).

'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 17.5% in the last 5 years of Marriott International, we see it is relatively higher, thus better in comparison to the benchmark SPY (10.8%)
- Looking at annual performance (CAGR) in of 26.3% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (13.5%).

'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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Marriott International is 23.3%, which is greater, thus worse compared to the benchmark SPY (13.4%) in the same period.
- Compared with SPY (12.3%) in the period of the last 3 years, the historical 30 days volatility of 21.7% is larger, 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:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside volatility of 24.7% of Marriott International is larger, thus worse.
- Looking at downside deviation in of 23.3% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (13.9%).

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Which means for our asset as example:- The risk / return profile (Sharpe) over 5 years of Marriott International is 0.64, which is higher, thus better compared to the benchmark SPY (0.62) in the same period.
- During the last 3 years, the risk / return profile (Sharpe) is 1.1, which is larger, thus better than the value of 0.89 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:- The downside risk / excess return profile over 5 years of Marriott International is 0.61, which is greater, thus better compared to the benchmark SPY (0.57) in the same period.
- Looking at ratio of annual return and downside deviation in of 1.02 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:- Compared with the benchmark SPY (3.99 ) in the period of the last 5 years, the Ulcer Index of 12 of Marriott International is higher, thus worse.
- During the last 3 years, the Ulcer Index is 11 , which is higher, thus worse than the value of 4.04 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of Marriott International is -30.9 days, which is smaller, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- During the last 3 years, the maximum drop from peak to valley is -30.9 days, which is lower, thus worse than the value of -19.3 days from the benchmark.

'The Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Which means for our asset as example:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water of 447 days of Marriott International is greater, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 371 days is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- The average days under water over 5 years of Marriott International is 151 days, which is larger, thus worse compared to the benchmark SPY (41 days) in the same period.
- Compared with SPY (36 days) in the period of the last 3 years, the average days below previous high of 112 days is larger, thus worse.

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 Marriott International 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.