Questions tagged [sharpe-ratio]

Excess return per unit of deviation in return.

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1answer
38 views

Capital efficiency of event triggered strategy

Let's assume we have two long short equity strategies A, B with a Sharpe ratio of 2 each. ...
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0answers
42 views

Optimising returns weighted by Sharpe ratio in the context of Supervised Learning

In the Kaggle Jane Street market prediction competition we are put in a Supervised Learning Framework to deal with 'trade opportunities'. That is, we are given instances of previous trade ...
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19 views

Performance metric that integrates market volatility?

Is there a performance metric like Sharpe that takes into account the volatility of the current market instead of only the volatility of the fund? I believe investors may have different degrees of ...
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8answers
81k 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....
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2answers
109 views

calculating sharpe and sortino ratio given monthly returns [closed]

suppose I have (fictitious) monthly returns: ...
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1answer
37 views

how to use SOFR as risk free rate in portfolio construction

Good afternoof to everyone. I would like to create a portfolio following a multifactorial approach (I have been writing my master's thesis). As I would like to calculate a series of ratios (e.g. ...
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1answer
86 views

Sharpe Ratio Graphed Over Time

I looked and could not find a suitable answer to my question already, so: What is the best way to calculate the Sharpe Ratio over time, given I have about a decade's worth of 1-minute candlesticks? I ...
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0answers
43 views

Should the sharpe ratio always change with number of assets?

I am trying to understand if the Sharpe ratio of a portfolio change if we increase or decrease the number of assets in the portfolio. It would be helpful if you could provide an explanation with ...
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3answers
185 views

What is stopping me from using high leverage on high Sharpe strategies?

Say the example market return is 12% for the year, I managed to develop a 3-4 Sharpe strategy that makes 6% a year. If I can borrow twice the size of my original fund at 0% interest, I can make more ...
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0answers
41 views

Measuring Information Coefficient and Sharpe Ratio

I have been looking through / using Quantopians' Alphalens library to measure/create new factors, and I had some questions in evaluating the credibility of the factor. This is what I have: I have ...
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0answers
204 views

How to derive the CAPM from maximizing the Sharpe ratio?

I know how to derive at the CAPM from a microeconomic foundation. In a recent University course I stumbled over a slide that derived the CAPM solely from the Sharpe ratio: I cant come up with that ...
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1answer
243 views

Simulated Sharpe Ratio Calculation for Leveraged Portfolio

I've written some VBA code to simulate the effect of borrowing money, investing it, and repaying the loan daily. PseduoCode: Start with a portfolio value of P = 1 Each day borrow P, invest 2*P, ...
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2answers
170 views

Sharpe ratio with CVaR for denominator and different investor utility functions

I would like to model different type of investors, hence I need to find some kind of utility functions to optimize. Apart from very abstract exponential utility function, I couldn't find any proper ...
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0answers
89 views

Can I use the Sharpe Ratio as an objective function in algorithmic trading?

I’m experimenting with custom loss functions for different trading rules and have come across a few articles citing success in directly using the (negative) Sharpe Ratio as a loss function, ...
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2answers
64 views

Industry or academic standard frequency to report the return, standard deviation, and Sharpe ratio?

Everyone (funds, banks, academics, financial information sites etc.) reports the annualized return, standard deviation, and Sharpe ratio. Yet we never get to know what the basis of their computation ...
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185 views

Beta Adjusted Return

I'm a bit confused about the definition of the 'Beta Adjusted Return', say I have benchmark whose return is $r$ and a stock whose return is $R$, the beta adjusted return is defined as $$ ...
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1answer
170 views

Is scaled Sharpe ratio a t-statistic?

I was just reading Quantitative Trading: How to Build Your Own Algorithmic Trading Business and it suggests annualizing Sharpe ratio in order to compare performance of strategies: $$\text{Annualized ...
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0answers
104 views

Sharpe from signal to daily return correlation

A few years back in an interview I remember being asked to derive the Sharpe ratio from the correlation between a pre-open daily signal and the open-close returns. I think you had to make some ...
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1answer
60 views

Sortino ratio lower than sharpe ratio?

Under what circumstances is a sortino ratio lower than a sharpe ratio? What does it mean about the distribution?
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1answer
52 views

Should the strategy shut down period be considered when calculating Sharpe?

When computing the Sharpe for a strategy, should the shut down period be considered?
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2answers
213 views

question regarding sharpe ratio calculation

Hi All: I looked in the search icon for questions related to Sharpe Ratio but I couldn't find what I was looking for. My question is about how to calculate it. I will explain the scenario and then ask ...
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2answers
229 views

Approximating Sharpe and Sortino ratios from Exponential moving averages

So I've been studying the paper "Learning To Trade via Direct Reinforcement" Moody and Saffell (2001) which describes in detail how to use exponential moving estimates (EMAs) of returns at ...
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0answers
39 views

Computing Sharpe ratio correctly when adding more funds

I've a very basic question: Assume, as time $t_0$, I started a algorithmic trading strategy with initial capital $X_0$. My strategy on subsequent $N$ time frames generated returns $r(t_1), r(t_2),..r(...
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1answer
82 views

Portfolio vs individual security Sharpe and Sortino ratios

For an individual security calculating it's Sharpe and Sortino ratios is straightforward. What I'm curious about is the following: Let's say I have a portfolio of several securities, which is a ...
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0answers
170 views

Deriving Single Index Model (Market Model)

$R_{it}=\alpha_i+\beta_i\cdot R_{mkt}+\epsilon_{it}$ $R_{it}$ is the return of the stock of observation $R_{mkt}$ is the return of the reference market $\beta_i$ is the regression coefficient between ...
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Question on the details of certain parameters in Sharpe Ratio [closed]

I'm puzzled about certain parameters in calculating the annualized Sharpe Ratio using monthly return data. Average excess return: Does this mean the arithmetic average of all the monthly excess ...
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2answers
60 views

Portfolio rebalance - How many data back do I need to perform sharpe ratio optimization

if I do a periodical rebalance of my portfolio based on sharpe ratio optimization, how many historical data should I take in account for optimizing with respect to the frequency of rebalancing? For ...
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44 views

Is this OK for simplifying Sharpe Ratio?

I've tried using Average(return)/StdDev(return) and it seems to work. I just want to see a measure of equity curve smoothness. Are there any downsides to this?
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1answer
71 views

Questions about Sharpe Ratio calculation

Let's say I have daily returns. Don't they depend on the risk per trade I am using? Obviously, if I'm risking 2% of equity per trade returns will be drastically different than when I'm using 10%? So ...
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1answer
88 views

how to relate risk aversion and sharpe ratio in optimisation

I am trying to optimise the following: U(w)=w′μ−λ/2w′Σw which is the typical risk aversion problem. I would like to set lambda in order to have the max sharpe but I cannot find in literature what is ...
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17 views

annualized sharpe from single day returns with varying cash outlay

Lets say I have a series of daily returns with varying cash outlay. I am trying to take these daily returns to compute the sharpe ratio for the year. my question is about treatment of the weightings. ...
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1answer
128 views

Calculating Sharpe Ratio on a per trade basis?

I have a strategy that I've been playing with and trying to backtest. It's of questionable practicality at the moment, but the idea is to pick one stock from the Dow 30 companies to trade right near ...
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1answer
123 views

How to test signifcance of a sharpe ratio

Let say you have measured a Sharpe Ratio of $S^*$. What is the simplest way (ie no fancy distributions) to do a hypothesis that this is different from $0$? So $H_0: \text{ The sharpe ratio is equal ...
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1answer
96 views

Which metric is most predictive: Mean, Sharpe, Calmar, …?

Suppose you have created a new trading algorithm: by varying the params of the algorithm, you get a large number of similar trading strategies (e.g. slightly different trigger thresholds, stop loss ...
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2answers
2k views

maximize Sharpe ratio in portfolio optimization

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

Annualised Sharpe Ratio of a 24/7 Round-The-Clock High Frequency Trading Strategy

Consider a high frequency trading strategy that trades Bitcoin-USD round the clock 365 days of the year at 5-minute intervals. How would one calculate the annualised Sharpe ratio of such a trading ...
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2answers
1k views

What is the Sharpe ratio of two uncorrelated strategies, each with Sharpe ratio equal 1?

Given two uncorrelated strategies, each with a Sharpe ratio of 1, what is the of Sharpe ratio of the ensemble?
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0answers
38 views

Maximum Sharpe ratio portfolio - derivation

I want mathematical derivation of how to construct maximum Sharpe ratio portfolio. Any resources with mathematical derivation (if its implemented in Python, that will be great) will be useful
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158 views

portfolio return, sharpe ratio and value at risk

Can you please help me to confirm if my calculations are correct or need improvement, or (too simplistic...) : - portfolio return, - portfolio standard deviation, - portfolio sharpe ratio - ...
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34 views

calculating sharpe-ratio and annualized returns

Im trying to get the sharpe ratio to be calculated daily but I can only calculate it annually, this is also happening for my annualized returns, can somebody help me please? ...
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2answers
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 ...
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1answer
640 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 ...
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1answer
157 views

Which riskfree rate to use for Maximum Sharpe Ratio Portfolio?

I am conducting out of sample backtests of the MV framework. But how exactly do I derive the Maximum Sharpe Ratio portfolio for this? The standard forumula of the Sharpe Ratio is given by: $$\frac{(...
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0answers
62 views

Annualizing the Sharpe Ratio

I am doing some calculations and I am working currently with the weekly Sharpe Ratio. Can I annualize the Sharpe ratio by multiplying with the square root of 52? Greetings!
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161 views

How to calculate out-of-sample and in-sample Sharpe Ratio?

I am conducting a backtest on different investment strategies and would like to calculate (i) the out-of-sample Sharpe ratio and (ii) the in-sample Sharpe ratio according to "Optimal Versus Naive ...
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1answer
107 views

ESG Style Analysis

Hi all and thank you in advance. Do you think that implementing a style analysis on ESG equity portfolios is feasible? When I mean style analysis I refer to the seminal paper of Sharpe (1992) but I ...
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0answers
86 views

Papers with Sharpe Ratio above 3 [closed]

Could you provide examples of academic papers proposing strategies with Sharpe Ratio above 3? Above 4? Any type of strategy and any mix of asset classes would do. However, a particular interest is ...
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2answers
2k 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 ...
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0answers
63 views

Sharpe ratio of annualized log returns

I have returns from the last 12 months on a portfolio, and i have risk free rate for the latest year, on daily basis. I have annualized the risk free rate, and i am using log returns for the period. ...

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