American Express (AXP)

TotalReturn:

'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.'

• Compared with the benchmark SPY (74.4%) in the period of the last 5 years, the total return, or performance of 121.3% of American Express is greater, thus better.
• Looking at total return, or performance in of 94.3% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (69.4%).

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the annual performance (CAGR) of 17.3% of American Express is higher, thus better.
• Compared with SPY (19.3%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 24.9% is greater, thus better.

Volatility:

'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.'

• The volatility over 5 years of American Express is 29.3%, which is greater, thus worse compared to the benchmark SPY (17%) in the same period.
• During the last 3 years, the volatility is 27.1%, which is greater, thus worse than the value of 15% from the benchmark.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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.'

• Looking at the downside deviation of 20.1% in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (11.8%)
• During the last 3 years, the downside volatility is 18.6%, which is greater, thus worse than the value of 10.1% from the benchmark.

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 (0.55) in the period of the last 5 years, the Sharpe Ratio of 0.5 of American Express is lower, thus worse.
• During the last 3 years, the risk / return profile (Sharpe) is 0.83, which is smaller, thus worse than the value of 1.12 from the benchmark.

Sortino:

'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.'

• Looking at the ratio of annual return and downside deviation of 0.74 in the last 5 years of American Express, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.79)
• During the last 3 years, the excess return divided by the downside deviation is 1.2, which is lower, thus worse than the value of 1.66 from the benchmark.

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.'

• Looking at the Ulcer Index of 13 in the last 5 years of American Express, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.43 )
• Compared with SPY (3.44 ) in the period of the last 3 years, the Ulcer Index of 8.39 is higher, 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.'

• Looking at the maximum DrawDown of -31.5 days in the last 5 years of American Express, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
• Looking at maximum drop from peak to valley in of -28.8 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'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.'

• Looking at the maximum days under water of 486 days in the last 5 years of American Express, we see it is relatively lower, thus better in comparison to the benchmark SPY (488 days)
• During the last 3 years, the maximum days under water is 109 days, which is larger, thus worse than the value of 87 days from the benchmark.

AveDuration:

'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.'

• Looking at the average time in days below previous high water mark of 118 days in the last 5 years of American Express, we see it is relatively lower, thus better in comparison to the benchmark SPY (119 days)
• Looking at average days below previous high in of 27 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (20 days).