Bitcoin was the first cryptocurrency to successfully record transactions on a secure, decentralized blockchain-based network. Launched in early 2009 by its pseudonymous creator Satoshi Nakamoto, Bitcoin is the largest cryptocurrency measured by market capitalization and amount of data stored on its blockchain. The Bitcoin software is free and available online to anyone who wants to run a Bitcoin node and store their own copy of the Bitcoin blockchain. As Bitcoin matures, engineers have designed additional protocols to improve the speed and privacy of Bitcoin transactions, including the Omni Layer, Lightning Network and Liquid Network. Only approximately 21 million bitcoins will ever be created. New coins are minted every 10 minutes by bitcoin miners who help to maintain the network by adding new transaction data to the blockchain.

'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.'

Using this definition on our asset we see for example:- Looking at the total return of 3999% in the last 5 years of Bitcoin, we see it is relatively higher, thus better in comparison to the benchmark SPY (106.8%)
- During the last 3 years, the total return, or performance is 926.6%, which is greater, thus better than the value of 71.9% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Looking at the compounded annual growth rate (CAGR) of 110.3% in the last 5 years of Bitcoin, we see it is relatively higher, thus better in comparison to the benchmark SPY (15.7%)
- Looking at annual return (CAGR) in of 117.3% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (19.8%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (18.9%) in the period of the last 5 years, the 30 days standard deviation of 77.8% of Bitcoin is higher, thus worse.
- Looking at 30 days standard deviation in of 73.6% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (21.9%).

'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 Bitcoin is 51%, which is higher, thus worse compared to the benchmark SPY (13.8%) in the same period.
- Compared with SPY (15.9%) in the period of the last 3 years, the downside risk of 48.6% is greater, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 1.38 in the last 5 years of Bitcoin, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.69)
- During the last 3 years, the ratio of return and volatility (Sharpe) is 1.56, which is greater, thus better than the value of 0.79 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the downside risk / excess return profile of 2.12 in the last 5 years of Bitcoin, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.95)
- During the last 3 years, the ratio of annual return and downside deviation is 2.36, which is greater, thus better than the value of 1.09 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (5.61 ) in the period of the last 5 years, the Ulcer Ratio of 46 of Bitcoin is larger, thus worse.
- During the last 3 years, the Ulcer Ratio is 26 , which is higher, thus worse than the value of 6.08 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -83 days of Bitcoin is smaller, thus worse.
- During the last 3 years, the maximum DrawDown is -61.8 days, which is smaller, thus worse than the value of -33.7 days from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum days below previous high of 741 days in the last 5 years of Bitcoin, we see it is relatively greater, thus worse in comparison to the benchmark SPY (139 days)
- Looking at maximum days under water in of 336 days in the period of the last 3 years, we see it is relatively higher, 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.'

Applying this definition to our asset in some examples:- Looking at the average days under water of 249 days in the last 5 years of Bitcoin, we see it is relatively greater, thus worse in comparison to the benchmark SPY (32 days)
- Compared with SPY (22 days) in the period of the last 3 years, the average time in days below previous high water mark of 99 days is larger, thus worse.

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 Bitcoin 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.