# Questions tagged [sharpe-ratio]

Excess return per unit of deviation in return.

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### How to annualize Sharpe Ratio?

I have a basic question about annualized Sharpe Ratio Calculation: if I know the daily return of my portfolio, the thing I need to do is multiply the Sharpe Ratio by $\sqrt{252}$ to have it annualized....
9k views

### Should Sharpe ratio be computed using log returns or relative returns?

I am trying to reconcile some research with some published values of 'Sharpe ratio', and would like to know the 'standard' method for computing the same: Based on daily returns? Monthly? Weekly? ...
20k views

### Should I use an arithmetic or a geometric calculation for the Sharpe Ratio?

What are the advantages/disadvantages of using the arithmetic Sharpe Ratio vs the geometric Sharpe Ratio? Is one more correct? Or is one better in certain circumstances?
3k views

### Normality assumption in Sharpe ratio

I have read that the Sharpe ratio imposes a normality assumption, but I fail to see how. Standard deviation is statistic for any type of distribution. Anyone have any ideas?
9k views

### Kelly criterion and Sharpe ratio

Whats the relationship between the Kelly criterion and the Sharpe ratio? $$f=\frac{p(b+1)-1}{b}$$ where $f$ is a percentage of how much capital to place on a bet, $p$ is the probability of success,...
2k views

### Maximum Sharpe portfolio (no short selling restrictions)

Suppose we have $n$ assets whose expected return vector is $r$ and is positive, and whose covariance matrix is $\Sigma$. Is there a closed form or quasi closed form (like the eigenvector of a matrix ...
8k views

### Sharpe ratio and leverage

Does leverage affect the Sharpe ratio? If my Sharpe is 2 at no leverage, does it change, fall by half say, at a different leverage?
1k views

### Is this a common variation of sharpe ratio?

As an aside on his answer on another question Freddy said: Sharpe ratio is an often cited metric, though I do not like it too much because you are penalized for out-sized positive returns while I ...
372 views

### Forget Kelly, forget fractional sizing. Where is the general theory?

I am struggling to find a general theory of position sizing. Help! The literature is all about fractional position sizing, but that's just one of the innumerable strategies. What about all the other ...
2k views

### How can I find the portfolio with maximum Sharpe Ratio - Using Lagrange Multipliers

In Markowitz' portfolio theory we can construct portfolios with the minimum variance for a given expected return (or vice versa). Across expected risks, this traces out the well-known efficient ...
2k views

### maximize Sharpe ratio in portfolio optimization

I am trying to understand how to maximize Sharpe ratio in portfolio optimization. \boxed{\begin{align}\max\>&\frac{r^Tx-r_f}{\sqrt{x^TQx}}\\ & \sum_i x_i = 1\\ & x_i\ge 0\end{align}} ...
4k views

### Sharpe Ratio - my own calculation differs from Yahoo finance, Morningstar

I am trying to compute the Sharpe ratio for my portfolio. To check that I am doing this correctly, I am first trying to compute it for SPY (the S&P 500 index). ...
4k views

### Computing the Sharpe Ratio

The building blocks of the Sharpe ratioāexpected returns and volatilitiesāare unknown quantities that must be estimated statistically and are subject to estimation error. The main problem I have is ...
537 views

### How do i test the significance of Sharpe ratio of a strategy using bootstrap

How do i test the significance of Sharpe ratio of a strategy whether it is any different from another strategy ?? How do i get a p-value out of it ? What should be the H0 in the hypothesis testing ? ...
671 views

### sharpe ratio from regression

Suppose I run a regression of returns of an asset vs some signal. Is there a way to estimate Sharpe ratio of a strategy based on this signal from this regression? Assuming that signal is a real number ...