US Dollar/Japanese Yen Forex

'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or performance of 20.4% in the last 5 years of USD/JPY Forex, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (62.6%)
- During the last 3 years, the total return, or increase in value is 25.9%, which is lower, thus worse than the value of 32.1% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.2%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 3.8% of USD/JPY Forex is smaller, thus worse.
- Compared with SPY (9.7%) in the period of the last 3 years, the annual performance (CAGR) of 8% is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- The historical 30 days volatility over 5 years of USD/JPY Forex is 7.8%, which is lower, thus better compared to the benchmark SPY (21.5%) in the same period.
- Compared with SPY (24.8%) in the period of the last 3 years, the historical 30 days volatility of 8.6% is lower, thus better.

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

Which means for our asset as example:- The downside deviation over 5 years of USD/JPY Forex is 5.5%, which is smaller, thus better compared to the benchmark SPY (15.6%) in the same period.
- Compared with SPY (17.9%) in the period of the last 3 years, the downside risk of 5.9% is smaller, thus better.

'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.'

Which means for our asset as example:- Looking at the ratio of return and volatility (Sharpe) of 0.17 in the last 5 years of USD/JPY Forex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.36)
- Compared with SPY (0.29) in the period of the last 3 years, the Sharpe Ratio of 0.64 is greater, thus better.

'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.'

Using this definition on our asset we see for example:- Looking at the ratio of annual return and downside deviation of 0.24 in the last 5 years of USD/JPY Forex, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.5)
- Looking at excess return divided by the downside deviation in of 0.93 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.4).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (8.52 ) in the period of the last 5 years, the Ulcer Index of 4.69 of USD/JPY Forex is smaller, thus better.
- Compared with SPY (10 ) in the period of the last 3 years, the Downside risk index of 3.72 is smaller, thus better.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- The maximum reduction from previous high over 5 years of USD/JPY Forex is -10.6 days, which is higher, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum drop from peak to valley of -10.6 days is larger, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (235 days) in the period of the last 5 years, the maximum days under water of 763 days of USD/JPY Forex is higher, thus worse.
- Compared with SPY (235 days) in the period of the last 3 years, the maximum days under water of 412 days is greater, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 263 days in the last 5 years of USD/JPY Forex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (55 days)
- Looking at average days below previous high in of 128 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (59 days).

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of USD/JPY Forex are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.