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 217.3% in the last 5 years of American Express, we see it is relatively greater, thus better in comparison to the benchmark SPY (97.2%)
• Looking at total return, or increase in value in of 142.8% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (80.6%).

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 compounded annual growth rate (CAGR) over 5 years of American Express is 26.1%, which is larger, thus better compared to the benchmark SPY (14.6%) in the same period.
• Compared with SPY (21.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 34.5% is larger, 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 historical 30 days volatility of 29.3% in the last 5 years of American Express, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17.1%)
• Compared with SPY (15.2%) in the period of the last 3 years, the historical 30 days volatility of 27.4% is greater, thus worse.

DownVol:

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

• The downside deviation over 5 years of American Express is 19.7%, which is greater, thus worse compared to the benchmark SPY (11.8%) in the same period.
• Looking at downside volatility in of 17.8% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.2%).

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.'

• The Sharpe Ratio over 5 years of American Express is 0.8, which is higher, thus better compared to the benchmark SPY (0.71) in the same period.
• Compared with SPY (1.27) in the period of the last 3 years, the Sharpe Ratio of 1.17 is lower, thus worse.

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.'

• The downside risk / excess return profile over 5 years of American Express is 1.2, which is higher, thus better compared to the benchmark SPY (1.03) in the same period.
• Looking at ratio of annual return and downside deviation in of 1.79 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.9).

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 higher, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Looking at Ulcer Ratio in of 8.37 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.51 ).

MaxDD:

'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.'

• Looking at the maximum DrawDown 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 reduction from previous high of -28.8 days is lower, 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• 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 days under water 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.'

• Looking at the average time in days below previous high water mark of 117 days in the last 5 years of American Express, we see it is relatively lower, thus better in comparison to the benchmark SPY (120 days)
• Compared with SPY (21 days) in the period of the last 3 years, the average days under water of 48 days is larger, thus worse.