Excess return per unit of deviation in return.

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26
votes
6answers
32k views

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....
18
votes
2answers
779 views

How do you correct Max Draw-Down for auto-correlation?

When returns are auto-correlated, calculating a Sharpe ratio := $\frac {mean(x)}{\sqrt{var(x)}}$, (where $x$ are the returns) is complicated, but basically solved (see, e.g. Lo (2005)). Without the ...
16
votes
5answers
3k 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? ...
15
votes
6answers
17k views

How high of a Sharpe ratio is implausibly high for a low-frequency equity strategy?

I am looking to convince someone that an annualized Sharpe Ratio of 7 is 'extremely high' for a low frequency (daily rebalancing, say) long-short technical strategy on U.S. equities. I was hoping for ...
11
votes
1answer
435 views

How does one measure the effect of latency on potential returns?

I am looking to evaluate the hypothetical advantage one trading system has over another in terms of the possible returns given their latency. Irene Aldridge wrote a piece (How Profitable Are High-...
10
votes
1answer
1k views

Intuitive explanation of the Hansen-Jagannathan bound

The Hansen-Jagannathan bound states that the maximum Sharpe ratio of a portfolio can't exceed the ratio of the standard deviation of a stochastic discount factor to its mean. I more or less understand ...
10
votes
0answers
435 views

Can we use White's reality check to compare two Sharpe ratios?

I read a paper from Ledoit and Wolf that proposes a method to compare two Sharpe ratios and a paper from White that proposes a method to compare $n$ trading rules. My question is: Can we use White's ...
9
votes
4answers
937 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 ...
9
votes
2answers
4k 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,...
8
votes
1answer
1k views

What is the average Sharpe ratio of volatility arbitrage funds?

Where can I get data on performance metrics for volatility arbitrage funds? I am trying to compare the Sharpe ratio of my strategy to those of the major players.
6
votes
2answers
515 views

how to choose top n assets?

I have m assets, and have estimated their future returns and covariance matrix. I would like to invest in an evenly weighted n product basket from this universe, where 0<n<m. How do i find the ...
5
votes
2answers
1k views

How should I compute the Sharpe Ratio for mid-frequency pair trading strategy?

I have a pair trading strategy with positions that last 3-5 days and trades 2-3 times a month. By design, all the trades are profitable until the cointegration is broken. Should I calculate the ...
5
votes
2answers
2k views

How do I calculate Sharpe ratio from P&L?

Say I have a market-making strategy that trades intraday. I start with a flat position and finish flat too. I end up with a daily P&L $p_{today}$. Over a year of trading I get $\vec{p} = (p_1,\...
5
votes
2answers
192 views

Annualized Sharpe Ratio calculation

I'm trying to replicate the annualized Sharpe ratio of an buy-and-hold strategy for the Dow Jones Industrial Average index for a period consisting of multiple years. I got the daily DJIA (closing) ...
4
votes
2answers
3k views

How to define the objective function for a custom optimization problem?

I would like to find the allocations that would minimize some user-defined metric (Sortino, minimum drawdown, etc) for a portfolio of assets. How would one go about formulating the objective ...
4
votes
3answers
450 views

What is an acceptable Sharpe Ratio for a prop desk?

What should be the value of a Sharpe Ratio for an intraday quantitative strategy to be accepted by a bank or hedge fund's prop desk? Let's assume the returns are daily changes in account equity, close ...
4
votes
2answers
2k views

Computing the Sharpe Ratio

The building blocks of the Sharpe ratio—expected returns and volatilities—are unknown quantities that must be estimated statistically and are subject to estimation error. The main problem I have is ...
4
votes
1answer
241 views

Difference between Sharpe Ratio and Information Ratio

I am finding it difficult to understand the difference between the sharpe ratio and the information ratio and the relationship between the two, and cannot find a decent reference that breaks it down ...
4
votes
1answer
369 views

How is the Sharpe Ratio presented in fund profiles usually calculated?

To compare my stock portfolio generator with managed funds performance, I want to calculate the Sharpe Ratio of my historic portfolios with the numbers found on the fund company web sites or in ...
4
votes
1answer
59 views

Annualised Sharpe Ratio for Index vs Index Benchmarking

I am currently writing a paper about the performance characteristics of alternative energy equity indexes and am therefore comparing them to their benchmark indexes (msci world, etc). To calculate the ...
3
votes
2answers
380 views

How is someone's Sharpe ratio recorded and communicated?

When I read about, say, some hedge fund wanting people with such-and-such Sharpe ratio, how is that ratio recorded and communicated to the interested party? I mean, do people just take it on faith ...
3
votes
1answer
658 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?
3
votes
2answers
146 views

Sharpe Ratio : why the normalization factor?

I try to understand why a $\sqrt{252}$ normalization factor is useful for Sharpe Ratio: Let's compute the Sharpe Ratio for this imaginary portfolio, for various sampling periods: ...
3
votes
1answer
67 views

Calculate excess returns for Sharpe Ratio with today's or past risk free rate of return?

I am struggling with the calculation of the Sharpe ratio. I am wondering whether to calculate the daily excess returns with today's risk free rate of return or the risk free rates corresponding to the ...
3
votes
2answers
50 views

Proper way to calculate the realized indiviual stock sharpe ratio

From the textbook, sharpe ratio is (return-riskfree rate)/risk However I wonder if I can use (return-index return)/risk, where the index acts as the benchmark, to calculate the sharpe ratio? I am ...
3
votes
1answer
502 views

How to calculate the Sharpe ratio for market neutral strategies?

Suppose I am long one stock and short an index in a ratio effectively making market beta as zero and I close the position with some positive P&L. How should I calculate the return for the ...
3
votes
1answer
320 views

What is the correct Stutzer index and Sharpe ratio relation, assuming a normal returns distribution?

Assuming the returns distribution is normal, then there is a relation between Stutzer index and Sharpe ratio. However, I found in the following paper 2 different equation: Paper I (page 10-11)‎ ...
3
votes
1answer
660 views

Sortino Ratio calculation

I've been using an excel template to calculate the sortino ratio for my automated trading strategies. http://investexcel.net/calculate-the-sortino-ratio-with-excel Basically i input my monthly ...
3
votes
1answer
461 views

Bootstrapping Sharpe Ratios

A similar question to this was asked here: How do i test the significance of Sharpe ratio of a strategy using bootstrap I have bootstrapped the original time series (using block bootstrapping) and ...
3
votes
1answer
872 views

Risk-free rate for ex-post evaluation of investment strategy

When evaluating the strategy ex-post using e.g. Sharpe ratio, what should one use as the risk-free rate? Let's suppose I am using a 1Y sample of weekly returns, sampled between 2012-01-01 and 2012-12-...
2
votes
2answers
4k views

Sharpe Ratio, annualized monthly returns vs annual returns vs annual rolling returns?

I would like to calculate the Yearly Sharpe Ratio on MSCI World index I have monthly values of the index that falls back up to Jan/1970, hence about: 44 years, 528 months In order to calculate ...
2
votes
2answers
2k 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). ...
2
votes
1answer
58 views

Sharpe ratio with leveraged ETFs

There has been a discussion about how leverage affects Sharpe Ratios, but not in the context of leveraged ETFs (such as 2x or 3x). I'm just wondering how leveraged ETFs, if at all, change the ...
2
votes
2answers
376 views

Calculate Daily Returns for Sharpe Ratio

For the purposes of Sharpe ratio, I calculate a trading strategy's daily returns using realized P/L only: $$ \frac{K(t + 1) - K(t)}{K(t)}, $$ where $K(t)$ is the cash balance after market close on day ...
2
votes
1answer
52 views

Hansen-Jagannathan bounds derivation: last step is not clear

Pennachi's "Asset Pricing" chapter 4 derives: $$ \frac{E[R_{i}-R_{f}]}{\sigma_{R_{i}}}=-\rho_{m_{01},R_{i}}\frac{\sigma_{m_{01}}}{E[m_{01}]} $$ Then, he states that the fact that $-1\leq \rho_{m_{01}...
2
votes
2answers
2k views

Calculating Geometric mean

I need to annualize daily returns for about 120 firms for over a period of 10 years. I chose to calculate the geometric return because 1) it is the actual return 2) to avoid the asymmetric effect of ...
2
votes
0answers
32 views

Significance testing of average returns from Sharpe ratio

I'm aware that one way to do significance testing on a strategy is based on the sampling distribution of its Sharpe (see, e.g., Lo, 2002 and Opdyke, 2008). However, it appears to me that there's ...
2
votes
0answers
62 views

Sharpe Ratio for loans

I am trying to calculate the sharpe ratio for a set of loans. These loans have already matured and I know if they were good or not: grades are the different grades of the loans. interest rate is the ...
2
votes
0answers
58 views

suitable benchmark to use for Sharpe ratio of power trading strategy

I have a algo which is trading a certain power contract. For calculating the Sharpe ration what would be a suitable benchmark to use?
2
votes
1answer
514 views

How to download risk free rate?

I've been trying to download the national interest rates for some countries. When i use Datastream, it only gives me the currency return (while i need yield). Can someone please tell how to ...
1
vote
3answers
292 views

Sharpe ratio in days with no open positions

Should I include or not the days a strategy has no open positions (thus no returns) in the Sharpe ratio calculation?
1
vote
3answers
158 views

Evaluation of portfolio other than Sharpe Ratio

Is Sharpe ratio always the best way to evaluate a portfolio? I'm not really sure what this potential interview question wants me to answer. I have read that Sharpe ratio essentially explains how ...
1
vote
1answer
176 views

How to deal with different amount of td's in computing Sharpe Ratio

In calculating the Sharpe Ratio, should I take into account the days were I have 0 return due to non-trading day? Another user posted a similar question but this was related to trading days with no ...
1
vote
1answer
590 views

Performance Stats of Pairs Trades

This is something I've been thinking about for a while but I can't reach a clear conclusion. When we calculate, for example, the profit factor for a pairs trading strategy, do we treat each pairs ...
1
vote
1answer
41 views

Having Difficulty With Sharpe Ratio and Optimal Portfolio

I have begun by using such equations as: By finding the $Rp$ and $\sigma p$ with the weighted values, and then I followed the equation using a value of $.02$ for the fixed asset, $rf$, but this ...
1
vote
1answer
95 views

Sharpe Ratio versus Cumulative Returns

I was asked whether Sharpe Ratio was a better measure than Cumulative Returns, in the context of hedge funds. To me, personally, Sharpe Ratio is a more important measure. By definition, it tells us ...
1
vote
2answers
90 views

Sharpe Ratio for strategies with different rebalancing period

Strategies published in journal papers like SMB, HML, UMD have annualized sharpe ratios around 0.5. These long-short portfolios are formed with monthly rebalance. People who backtest some daily ...
1
vote
1answer
46 views

Can I deduce a portfolio is inefficient by compare is Sharpe ratio to the on the one the tangent portfolio?

If I have a portfolio with a Sharpe ratio lower than the Sharpe ratio of the tangent portfolio, can I conclude something about whether or not it is efficient? If so, how/why?
1
vote
1answer
277 views

Geometric means, standard deviation, and sharpe ratios

I have 3 related questions: a) I've seen formulas for GM and GS which eithier do, or do not, involve taking the exponent. Which is right? i.e. for GM I've seen both mean(ln(1+rt)) and exp(mean(ln(1+...
1
vote
1answer
35 views

Calculate total risk [closed]

I have a question regarding how the risk is calculated, if I have only the returns. I think the risk premium (rp) is just the average of the returns and the sharpe ratio is the risk premium divided by ...