'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:- Compared with the benchmark SPY (133.2%) in the period of the last 5 years, the total return, or performance of -11.5% of BioMarin Pharmaceutical is lower, thus worse.
- Looking at total return, or performance in of -26.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (80.4%).

'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.'

Applying this definition to our asset in some examples:- Looking at the annual performance (CAGR) of -2.4% in the last 5 years of BioMarin Pharmaceutical, we see it is relatively lower, thus worse in comparison to the benchmark SPY (18.5%)
- Looking at annual performance (CAGR) in of -9.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (21.8%).

'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.'

Using this definition on our asset we see for example:- Looking at the historical 30 days volatility of 37% in the last 5 years of BioMarin Pharmaceutical, we see it is relatively larger, thus worse in comparison to the benchmark SPY (18.7%)
- During the last 3 years, the historical 30 days volatility is 40.4%, which is greater, thus worse than the value of 22.4% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- The downside risk over 5 years of BioMarin Pharmaceutical is 27.8%, which is greater, thus worse compared to the benchmark SPY (13.6%) in the same period.
- Compared with SPY (16.2%) in the period of the last 3 years, the downside volatility of 31.8% is greater, thus worse.

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.85) in the period of the last 5 years, the risk / return profile (Sharpe) of -0.13 of BioMarin Pharmaceutical is lower, thus worse.
- Looking at ratio of return and volatility (Sharpe) in of -0.3 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.86).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (1.18) in the period of the last 5 years, the downside risk / excess return profile of -0.18 of BioMarin Pharmaceutical is lower, thus worse.
- Compared with SPY (1.19) in the period of the last 3 years, the downside risk / excess return profile of -0.38 is smaller, thus worse.

'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.'

Using this definition on our asset we see for example:- The Downside risk index over 5 years of BioMarin Pharmaceutical is 24 , which is greater, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Compared with SPY (6.36 ) in the period of the last 3 years, the Ulcer Ratio of 28 is higher, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -45.3 days of BioMarin Pharmaceutical is lower, thus worse.
- During the last 3 years, the maximum DrawDown is -45.3 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 402 days in the last 5 years of BioMarin Pharmaceutical, we see it is relatively greater, thus worse in comparison to the benchmark SPY (139 days)
- Looking at maximum days below previous high in of 386 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (119 days).

'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.'

Using this definition on our asset we see for example:- The average days under water over 5 years of BioMarin Pharmaceutical is 139 days, which is larger, thus worse compared to the benchmark SPY (32 days) in the same period.
- Looking at average days below previous high in of 172 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (25 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 BioMarin Pharmaceutical 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.