Bitcoin (BTC-USD)

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 performance of 1255.8% in the last 5 years of Bitcoin, we see it is relatively greater, thus better in comparison to the benchmark SPY (164.3%)
• During the last 3 years, the total return is 104.6%, which is larger, thus better than the value of 32.2% 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 annual performance (CAGR) over 5 years of Bitcoin is 68.6%, which is larger, thus better compared to the benchmark SPY (21.5%) in the same period.
• Looking at annual performance (CAGR) in of 27.1% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (9.8%).

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.'

• The volatility over 5 years of Bitcoin is 61.5%, which is greater, thus worse compared to the benchmark SPY (18.2%) in the same period.
• Looking at volatility in of 55.2% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17%).

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.'

• Compared with the benchmark SPY (12.2%) in the period of the last 5 years, the downside risk of 40.1% of Bitcoin is greater, thus worse.
• During the last 3 years, the downside risk is 37.2%, which is higher, thus worse than the value of 12% from the benchmark.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• Looking at the Sharpe Ratio of 1.08 in the last 5 years of Bitcoin, we see it is relatively greater, thus better in comparison to the benchmark SPY (1.04)
• During the last 3 years, the ratio of return and volatility (Sharpe) is 0.45, which is larger, thus better than the value of 0.43 from the benchmark.

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.'

• The ratio of annual return and downside deviation over 5 years of Bitcoin is 1.65, which is larger, thus better compared to the benchmark SPY (1.55) in the same period.
• During the last 3 years, the ratio of annual return and downside deviation is 0.66, which is higher, thus better than the value of 0.61 from the benchmark.

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 Bitcoin is 40 , which is higher, thus worse compared to the benchmark SPY (8.29 ) in the same period.
• Looking at Ulcer Index in of 36 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (8.63 ).

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 DrawDown of -76.6 days in the last 5 years of Bitcoin, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
• During the last 3 years, the maximum DrawDown is -66.7 days, which is lower, thus worse than the value of -22.1 days from the benchmark.

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 580 days of Bitcoin is greater, thus worse.
• During the last 3 years, the maximum days below previous high is 469 days, which is larger, thus worse than the value of 325 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.'

• The average days below previous high over 5 years of Bitcoin is 167 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average days under water is 174 days, which is greater, thus worse than the value of 89 days from the benchmark.