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.'

• Looking at the total return, or increase in value of 153.5% in the last 5 years of American Express, we see it is relatively higher, thus better in comparison to the benchmark SPY (94.2%)
• During the last 3 years, the total return is 94.6%, which is higher, thus better than the value of 81.9% 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.'

• The annual performance (CAGR) over 5 years of American Express is 20.5%, which is higher, thus better compared to the benchmark SPY (14.3%) in the same period.
• Compared with SPY (22.2%) in the period of the last 3 years, the annual return (CAGR) of 25% 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.'

• Looking at the 30 days standard deviation of 29.3% in the last 5 years of American Express, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17%)
• During the last 3 years, the 30 days standard deviation is 27.2%, which is larger, thus worse than the value of 15.1% from the benchmark.

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 (11.7%) in the period of the last 5 years, the downside deviation of 19.9% of American Express is higher, thus worse.
• Looking at downside risk in of 18.5% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.1%).

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• Compared with the benchmark SPY (0.69) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.62 of American Express is lower, thus worse.
• Compared with SPY (1.3) in the period of the last 3 years, the Sharpe Ratio of 0.83 is lower, thus worse.

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.'

• Compared with the benchmark SPY (1) in the period of the last 5 years, the downside risk / excess return profile of 0.91 of American Express is smaller, thus worse.
• Compared with SPY (1.95) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.22 is lower, thus worse.

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.'

• Looking at the Ulcer Index of 13 in the last 5 years of American Express, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.42 )
• During the last 3 years, the Ulcer Index is 8.22 , which is higher, thus worse than the value of 3.4 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.'

• Looking at the maximum reduction from previous high of -31.5 days in the last 5 years of American Express, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -28.8 days is smaller, thus worse.

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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 486 days of American Express is smaller, thus better.
• During the last 3 years, the maximum days below previous high is 109 days, which is greater, 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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days under water of 117 days of American Express is smaller, thus better.
• Looking at average days under water in of 30 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (19 days).