'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:- The total return over 5 years of Pinduoduo is 340.5%, which is larger, thus better compared to the benchmark SPY (111.3%) in the same period.
- Compared with SPY (39.3%) in the period of the last 3 years, the total return, or increase in value of 52.7% is larger, thus better.

'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.'

Which means for our asset as example:- The annual performance (CAGR) over 5 years of Pinduoduo is 34.6%, which is greater, thus better compared to the benchmark SPY (16.2%) in the same period.
- During the last 3 years, the annual performance (CAGR) is 15.2%, which is larger, thus better than the value of 11.7% from the benchmark.

'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:- Looking at the historical 30 days volatility of 75% in the last 5 years of Pinduoduo, we see it is relatively larger, thus worse in comparison to the benchmark SPY (20.9%)
- During the last 3 years, the historical 30 days volatility is 78.7%, which is greater, thus worse than the value of 17.5% from the benchmark.

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

Applying this definition to our asset in some examples:- Looking at the downside risk of 47.1% in the last 5 years of Pinduoduo, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.9%)
- Compared with SPY (12.2%) in the period of the last 3 years, the downside risk of 49.6% 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:- The risk / return profile (Sharpe) over 5 years of Pinduoduo is 0.43, which is lower, thus worse compared to the benchmark SPY (0.66) in the same period.
- During the last 3 years, the risk / return profile (Sharpe) is 0.16, which is smaller, thus worse than the value of 0.53 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.92) in the period of the last 5 years, the downside risk / excess return profile of 0.68 of Pinduoduo is smaller, thus worse.
- During the last 3 years, the ratio of annual return and downside deviation is 0.26, which is lower, thus worse than the value of 0.75 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the Ulcer Index of 48 in the last 5 years of Pinduoduo, we see it is relatively larger, thus worse in comparison to the benchmark SPY (9.32 )
- During the last 3 years, the Ulcer Ratio is 32 , which is larger, thus worse than the value of 10 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of -87.4 days in the last 5 years of Pinduoduo, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -74.6 days is lower, thus worse.

'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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Using this definition on our asset we see for example:- The maximum days under water over 5 years of Pinduoduo is 919 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
- Looking at maximum days below previous high in of 314 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (488 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.'

Which means for our asset as example:- Looking at the average time in days below previous high water mark of 356 days in the last 5 years of Pinduoduo, we see it is relatively greater, thus worse in comparison to the benchmark SPY (124 days)
- During the last 3 years, the average time in days below previous high water mark is 101 days, which is lower, thus better than the value of 179 days from the benchmark.

Historical returns have been extended using synthetic data.
[Show Details]

- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Pinduoduo are hypothetical and do not account for slippage, fees or taxes.