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.'

• The total return, or performance over 5 years of American Express is 117%, which is larger, thus better compared to the benchmark SPY (87.8%) in the same period.
• During the last 3 years, the total return, or performance is 74.3%, which is higher, thus better than the value of 72.9% from the benchmark.

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.'

• The compounded annual growth rate (CAGR) over 5 years of American Express is 16.8%, which is larger, thus better compared to the benchmark SPY (13.5%) in the same period.
• Compared with SPY (20.1%) in the period of the last 3 years, the annual return (CAGR) of 20.4% is greater, thus better.

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the 30 days standard deviation of 29.4% of American Express is greater, thus worse.
• Looking at historical 30 days volatility in of 27.6% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (15.1%).

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 volatility of 20.2% in the last 5 years of American Express, we see it is relatively greater, thus worse in comparison to the benchmark SPY (11.7%)
• Looking at downside risk in of 19.1% in the period of the last 3 years, we see it is relatively larger, 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.'

• The risk / return profile (Sharpe) over 5 years of American Express is 0.49, which is smaller, thus worse compared to the benchmark SPY (0.65) in the same period.
• Compared with SPY (1.17) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.65 is lower, 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 0.71, which is lower, thus worse compared to the benchmark SPY (0.94) in the same period.
• During the last 3 years, the ratio of annual return and downside deviation is 0.94, which is lower, thus worse than the value of 1.74 from the benchmark.

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• 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 8.41 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (3.4 ).

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.'

• The maximum DrawDown over 5 years of American Express is -31.5 days, which is smaller, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -28.8 days, which is lower, thus worse than the value of -18.8 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.'

• Looking at the maximum time in days below previous high water mark 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)
• Looking at maximum time in days below previous high water mark in of 109 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 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 below previous high of 117 days of American Express is lower, thus better.
• Looking at average time in days below previous high water mark in of 30 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (19 days).