{"id":4333,"date":"2020-04-08T03:12:04","date_gmt":"2020-04-08T03:12:04","guid":{"rendered":"https:\/\/trade-malaysia-option.com\/rasio-sharpe\/"},"modified":"2023-02-12T09:29:11","modified_gmt":"2023-02-12T09:29:11","slug":"rasio-sharpe","status":"publish","type":"post","link":"https:\/\/trade-malaysia-option.com\/en\/rasio-sharpe\/","title":{"rendered":"Sharpe ratio"},"content":{"rendered":"

The Sharpe ratio is a way to determine how much return is achieved per unit of risk.\u00a0It is useful for, and can be calculated by, all forms of capital market participants to evaluate their performance, from day traders to buy-and-long-term investors.<\/span><\/p>\n

Indeed, when evaluating the performance of traders and investors, it is not simply a matter of determining their overall return, but their return relative to their risk.<\/span><\/p>\n

A 20% annual gain is a very strong performance.\u00a0However, if this is due to annual volatility of 60% due to over-leveraging or trading highly speculative instruments, this is actually a relatively modest performance when adjusted for risk.\u00a0The Sharpe ratio will be considered as 0.3.\u00a0This is calculated as follows:<\/span><\/p>\n

Sharpe Ratio = (Portfolio Return \u2013 Risk Free Return) \/ Std Dev Portfolio<\/span><\/strong><\/p>\n

The risk-free rate of return is a user-based input.\u00a0This is usually equivalent to a safe risk-free bond.\u00a0These may be yields on US Treasuries, UK Gilts, German bunds, or other safe instruments.\u00a0The duration depends on your time horizon.<\/span><\/p>\n

For long-term investors or position traders who hold positions over a long period of time, they may choose long-term bonds.\u00a0Short-term investors or day traders who may hold positions only during the day may use shorter bond durations, or nearly one equivalent to the countries overnight rate set by its central bank.\u00a0This is usually estimated by one-month or three-month government bonds or simply by looking at the central bank’s own overnight policy rate.<\/span><\/p>\n

In the case of the 20% \/ 60% volatility portfolio mentioned above, if one were to use the 10-year US Treasury (assuming a 3% yield), the Sharpe ratio would be around 0.283.\u00a0If one were to use 3-month US Treasuries (assuming a 2% yield), the Sharpe ratio would be around 0.300.<\/span><\/p>\n

If the risk-free rate used is higher, this means the \u201cexcess return\u201d is lower \u2013 i.e. a 17% return over the risk-free rate is not necessarily an 18% excess return.\u00a0Therefore, a higher risk-free rate will result in a lower Sharpe ratio, holding everything else equal.<\/span><\/p>\n

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Ex-Ante vs.\u00a0Ex-Post Sharpe Ratio<\/span><\/h2>\n

The Sharpe ratio can be considered either\u00a0\u00a0<\/span>ex-ante<\/span><\/em>\u00a0\u00a0(expected) or\u00a0\u00a0<\/span>ex-post<\/span><\/em>\u00a0\u00a0(backward-looking to evaluate past performance).<\/span><\/p>\n

The ratios considered above are ex-post, because the performance has already happened.\u00a0The former Sharpe ratio takes into account account expectations.\u00a0From the return and volatility of the portfolio, the calculation is the expected values \u200b\u200bof those things, which are marked with “E” before the conditions.<\/span><\/p>\n

Sharpe Ratio = E (Portfolio Return \u2013 Risk Free Return) \/ E (Std Dev Portfolio)<\/span><\/p>\n

Therefore, if the S & P 500 is expected to generate a nominal annual return of 7% from an annual volatility of 15%, with a risk-return rate of 3% (based on future US Treasury yields), that results in a Sharpe ratio of 0.27.<\/span><\/p>\n

Ex-post ratios can vary, especially among shorter time periods.\u00a0For example, the Sharpe ratio of the S&P 500 for 2017, due to higher returns on lower volatility, was 4.78.\u00a0For the 2018 share, it has become 0.23.<\/span><\/p>\n

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Financial Application<\/span><\/h2>\n

The Sharpe ratio is often used to determine the relative performance of portfolios, traders, and fund managers over time.\u00a0The Sharpe ratio for each asset class is generally around 0.2 to 0.3 over the long term.<\/span><\/p>\n

A value between 0 and 1 indicates that the return obtained is better than the risk-free rate, but the excess risk exceeds their excess balance.\u00a0Values \u200b\u200babove 1 indicate that returns are not only better than the risk-free rate, but that excess returns exceed their excess risk.<\/span><\/p>\n

A negative Sharpe ratio means that the performance of the manager or portfolio is below the risk-free rate.\u00a0For financial assets, a negative Sharpe ratio will not persist for an indefinite period of time.\u00a0A capitalist economy would cease to function if this were true.<\/span><\/p>\n

A negative Sharpe ratio can persist for a long period of time for a particular asset class, manager, or portfolio due to the timing or idiosyncratic risk associated with trading a particular asset.<\/span><\/p>\n

However, a negative Sharpe ratio is problematic to evaluate because excessively negative returns with a lot of volatility will make the Sharpe ratio\u00a0\u00a0<\/span>less<\/span><\/em>\u00a0\u00a0negative (because the denominator is larger), thus confirming that the performance is not as expected.\u00a0Likewise, a portfolio with a small negative excess return can be penalized if its associated volatility is large, giving it a smaller denominator and thus amplifying the negative value.<\/span><\/p>\n

Therefore, a negative Sharpe ratio can be very difficult to evaluate.<\/span><\/p>\n

Advantages and Disadvantages of the Sharpe Ratio<\/span><\/h2>\n

As with any statistical measure, it’s only as good as your assumptions.\u00a0In studies on financial risk assessment, it is often assumed that volatility is equal to risk or its best proxy.\u00a0However, not all fluctuations are dangerous and some are necessary to catch back.<\/span><\/p>\n

Trading and investing is essentially about maximizing return per unit of risk.\u00a0This is the main goal of the Sharpe ratio, but it does it modestly.<\/span><\/p>\n

A trading or investment strategy that balances risk or can accurately identify strong risk-reward opportunities will experience high volatility.\u00a0But since all volatility is penalized equally under the Sharpe ratio, the metric may not be the best for identifying the risks associated with a portfolio.<\/span><\/span><\/p>\n

Other risk-adjusted metrics, such as the Sortino ratio, may be more appropriate for these types of portfolios and will generally be a more accurate reflection of their risk.<\/span><\/p>\n

However, the Sharpe ratio is easy to use and can be applied to any series of returns without the need for additional information about the source of volatility or profitability.<\/span><\/p>\n

Return volatility is also assumed to be normally distributed.\u00a0In general, financial variables tend to be more fat-tailed than those associated with a normal distribution and generally exhibit higher skewness and\/or kurtosis.<\/span><\/p>\n

And because the Sharpe ratio is commonly used in ex-post indices \u2013 to evaluate past performance \u2013 it can be flawed because past performance is not necessarily any prediction of what will happen in the future or in the shorter term.<\/span><\/p>\n

Furthermore, since the Sharpe ratio is not expressed in terms of a percentage or return, but as a simple number, its use is only valuable in comparison to other performance evaluated through the Sharpe ratio.<\/span><\/p>\n

As a rule of thumb, a Sharpe ratio above 0.5 is a market beating performance if achieved over the long term.\u00a0A ratio of 1 is great and difficult to achieve over a long period of time.\u00a0A ratio of 0.2-0.3 is in line with the broader market.\u00a0A negative Sharpe ratio, as mentioned above, is difficult to evaluate.<\/span><\/p>\n

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 <\/p>\n","protected":false},"excerpt":{"rendered":"

The Sharpe ratio is a way to determine how much return is achieved per unit of risk.\u00a0It is useful for, and can be calculated by, all forms of capital market participants to evaluate their performance, […]<\/p>\n","protected":false},"author":1,"featured_media":3523,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[103],"tags":[],"class_list":["post-4333","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-panduan-en"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/posts\/4333"}],"collection":[{"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/comments?post=4333"}],"version-history":[{"count":2,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/posts\/4333\/revisions"}],"predecessor-version":[{"id":4335,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/posts\/4333\/revisions\/4335"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/media\/3523"}],"wp:attachment":[{"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/media?parent=4333"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/categories?post=4333"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/trade-malaysia-option.com\/en\/wp-json\/wp\/v2\/tags?post=4333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}