American Express (AXP)

TotalReturn:

'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

• Compared with the benchmark SPY (87.4%) in the period of the last 5 years, the total return, or increase in value of 124.9% of American Express is larger, thus better.
• Looking at total return, or performance in of 72.3% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (26.8%).

CAGR:

'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.'

• Compared with the benchmark SPY (13.4%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 17.6% of American Express is higher, thus better.
• Looking at annual performance (CAGR) in of 19.9% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (8.2%).

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.'

• Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the historical 30 days volatility of 38% of American Express is higher, thus worse.
• Compared with SPY (17.3%) in the period of the last 3 years, the historical 30 days volatility of 29.6% is larger, thus worse.

DownVol:

'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.'

• Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside deviation of 24.7% of American Express is higher, thus worse.
• Compared with SPY (12.1%) in the period of the last 3 years, the downside deviation of 19.9% is larger, thus worse.

Sharpe:

'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.'

• Compared with the benchmark SPY (0.52) in the period of the last 5 years, the risk / return profile (Sharpe) of 0.4 of American Express is lower, thus worse.
• Looking at Sharpe Ratio in of 0.59 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.33).

Sortino:

'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.'

• Looking at the excess return divided by the downside deviation of 0.61 in the last 5 years of American Express, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.73)
• Looking at downside risk / excess return profile in of 0.87 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.47).

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

• Compared with the benchmark SPY (9.33 ) in the period of the last 5 years, the Ulcer Index of 17 of American Express is larger, thus worse.
• During the last 3 years, the Ulcer Index is 15 , which is higher, thus worse than the value of 10 from the benchmark.

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.'

• Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -49.6 days of American Express is smaller, thus worse.
• During the last 3 years, the maximum drop from peak to valley is -31.5 days, which is lower, thus worse than the value of -24.5 days from the benchmark.

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 under water of 486 days of American Express is smaller, thus better.
• Looking at maximum days under water in of 486 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (488 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.'

• Looking at the average days below previous high of 140 days in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (122 days)
• Looking at average days under water in of 176 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (179 days).