American Express (AXP)

TotalReturn:

'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.'

• Looking at the total return of 199.8% in the last 5 years of American Express, we see it is relatively higher, thus better in comparison to the benchmark SPY (91.1%)
• During the last 3 years, the total return is 145.9%, which is larger, thus better than the value of 80.1% from the benchmark.

CAGR:

'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.'

• Looking at the annual return (CAGR) of 24.7% in the last 5 years of American Express, we see it is relatively greater, thus better in comparison to the benchmark SPY (13.9%)
• Compared with SPY (21.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 35.2% is higher, thus better.

Volatility:

'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.'

• The historical 30 days volatility over 5 years of American Express is 29.3%, which is greater, thus worse compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (15.2%) in the period of the last 3 years, the historical 30 days volatility of 27.4% is higher, thus worse.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside risk of 19.7% of American Express is larger, thus worse.
• During the last 3 years, the downside volatility is 17.9%, which is larger, thus worse than the value of 10.2% from the benchmark.

Sharpe:

'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.'

• Looking at the risk / return profile (Sharpe) of 0.76 in the last 5 years of American Express, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.67)
• Compared with SPY (1.27) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.19 is smaller, thus worse.

Sortino:

'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.'

• The excess return divided by the downside deviation over 5 years of American Express is 1.12, which is greater, thus better compared to the benchmark SPY (0.97) in the same period.
• During the last 3 years, the ratio of annual return and downside deviation is 1.83, which is lower, thus worse than the value of 1.89 from the benchmark.

Ulcer:

'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.'

• The Ulcer Index over 5 years of American Express is 13 , which is greater, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.51 ) in the period of the last 3 years, the Ulcer Ratio of 8.38 is larger, thus worse.

MaxDD:

'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.'

• The maximum DrawDown over 5 years of American Express is -31.5 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum drop from peak to valley of -28.8 days is lower, thus worse.

MaxDuration:

'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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 486 days of American Express is lower, thus better.
• Looking at maximum time in days below previous high water mark in of 211 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (87 days).

AveDuration:

'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.'

• The average days below previous high over 5 years of American Express is 117 days, which is lower, thus better compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average days under water is 48 days, which is greater, thus worse than the value of 21 days from the benchmark.