Description

Apple Inc. designs, manufactures, and markets smartphones, personal computers, tablets, wearables, and accessories worldwide. It also sells various related services. The company offers iPhone, a line of smartphones; Mac, a line of personal computers; iPad, a line of multi-purpose tablets; and wearables, home, and accessories comprising AirPods, Apple TV, Apple Watch, Beats products, HomePod, iPod touch, and other Apple-branded and third-party accessories. It also provides digital content stores and streaming services; AppleCare support services; and iCloud, a cloud service, which stores music, photos, contacts, calendars, mail, documents, and others. In addition, the company offers various service, such as Apple Arcade, a game subscription service; Apple Card, a co-branded credit card; Apple News+, a subscription news and magazine service; and Apple Pay, a cashless payment service, as well as licenses its intellectual property, and provides other related services. The company serves consumers, and small and mid-sized businesses; and the education, enterprise, and government markets. It sells and delivers third-party applications for its products through the App Store, Mac App Store, and Watch App Store. The company also sells its products through its retail and online stores, and direct sales force; and third-party cellular network carriers, wholesalers, retailers, and resellers. Apple Inc. has a collaboration with Google to develop COVID-19 tracking system for Android and iOS devices. Apple Inc. was founded in 1977 and is headquartered in Cupertino, California.

Statistics (YTD)

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TotalReturn:

'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.'

Which means for our asset as example:
  • The total return over 5 years of Apple is 134.3%, which is larger, thus better compared to the benchmark SPY (92.6%) in the same period.
  • Looking at total return, or performance in of 63.4% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (76.4%).

CAGR:

'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:
  • The annual performance (CAGR) over 5 years of Apple is 18.6%, which is greater, thus better compared to the benchmark SPY (14.1%) in the same period.
  • Looking at annual return (CAGR) in of 17.9% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (20.9%).

Volatility:

'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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the 30 days standard deviation of 27.5% of Apple is larger, thus worse.
  • Looking at historical 30 days volatility in of 26% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (15.2%).

DownVol:

'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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside risk of 18.5% of Apple is higher, thus worse.
  • Looking at downside volatility in of 17.4% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10.2%).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (0.67) in the period of the last 5 years, the Sharpe Ratio of 0.59 of Apple is smaller, thus worse.
  • During the last 3 years, the ratio of return and volatility (Sharpe) is 0.59, which is lower, thus worse than the value of 1.21 from the benchmark.

Sortino:

'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.'

Using this definition on our asset we see for example:
  • Looking at the excess return divided by the downside deviation of 0.87 in the last 5 years of Apple, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.98)
  • Looking at ratio of annual return and downside deviation in of 0.88 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.8).

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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Ulcer Index of 12 of Apple is larger, thus worse.
  • Compared with SPY (3.51 ) in the period of the last 3 years, the Downside risk index of 10 is greater, thus worse.

MaxDD:

'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:
  • Looking at the maximum reduction from previous high of -33.4 days in the last 5 years of Apple, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-24.5 days)
  • Looking at maximum reduction from previous high in of -33.4 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'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.'

Which means for our asset as example:
  • The maximum time in days below previous high water mark over 5 years of Apple is 354 days, which is lower, thus better compared to the benchmark SPY (488 days) in the same period.
  • Looking at maximum days under water in of 202 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (87 days).

AveDuration:

'The Average 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. 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 days under water of 91 days in the last 5 years of Apple, we see it is relatively smaller, thus better in comparison to the benchmark SPY (120 days)
  • Looking at average time in days below previous high water mark in of 59 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (20 days).

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

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