Questions tagged [sharpe-ratio]
Excess return per unit of deviation in return.
157
questions
4
votes
1answer
31 views
Alternative relative performance measure to Sharpe ratio for non-IID return
The Sharpe ratio is often used to compare the relative performance of portfolios despite its IID-assumption for the returns being violated.
I can find ample warnings about the consequences of ...
1
vote
1answer
37 views
Risk-free rate in the Sharpe ratio
Let's say I have data stemming from date $t_1$ to date $t_2$, I have the annualized return each day during those two dates. Therefore I know the expected return and the standard deviation of the ...
2
votes
0answers
33 views
Why not to maximize Sharpe Ratio directly when computing optimal allocation of an order?
I was reading the following paper of Engle about balancing transaction costs performance and risk:
https://www.nber.org/papers/w12165.pdf
He deals with finding the optimal placement of the child ...
0
votes
0answers
20 views
How to annualize sharpe with non-continuous trading days
I want to calculate annual sharpe of my tradingsignal. I assume risk free rate is zero, so my sharpe is return to risk, not excess return.
My trading signal is binary on/off for different trading ...
0
votes
0answers
43 views
Calculation of the risk free rate
For portfolio management I need the risk-free to compute the sharpe ratio.
I would like the use to rate on the 3 month treasury bill from the US.
https://fred.stlouisfed.org/series/TB3MS#0
The ...
1
vote
0answers
32 views
Given multiple strategies with their ER, volatility, how would I calculate the combined Sharpe?
Without knowing the actual daily returns, I have a table something like this:
...
0
votes
0answers
45 views
Sharpe Ratio and interest rate
The Sharpe ratio is calculated as the ratio between the return and the volatility.
Now, when I have a trading strategy that requires to be invested sometimes and to be flat other times, I assume 0% ...
0
votes
1answer
80 views
Sharpe Ratio - Linear Homogeneous
In the book "Portfolio Construction and Risk Budgeting" of Sherer, there is an excercise with the following prompt:
"Use matrix algebra to find the maximum Sharpe ratio portfolio. Show that the ...
0
votes
2answers
94 views
Geometric Sharpe ratio
I'm computing different metrics for mutual fund performance. I want to use classic Sharpe ratio, but I also got to know there is geometric Sharpe ratio. Unfortunately I didn't find enough info about ...
0
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0answers
47 views
Deriving Single Index Model (Market Model)
is the return of the stock of observation
is the return of the reference market
is the regression coefficient between the observed stock and the reference market
is the regression intercept between ...
0
votes
0answers
21 views
Distribution of the Information Ratio // Mean and Variance Product
We are investigating the distribtuion of the information ratio. However, instead of using the original information ratio defined as
\begin{equation}
IR=\frac{E(r_1)-E(r_2)}{\sqrt{Var(r_1-r_2)}},
\end{...
2
votes
0answers
52 views
sharp ratio/sortino ratio for options portfolio
I am thinking that the sharp ratio is not a valid performance metric for a long/short options book, because options are inherently nonlinear and the standard deviation simply cannot correctly capture ...
0
votes
0answers
46 views
How/Why Markowitz model is normatitive while CAPM positive?
I've tried economic books but they only give this "should/is" explanations and I still cannot see how it applies to MPT. On the other hand, almost every paper and book gives these adjectives before ...
0
votes
0answers
41 views
Calculate best share based on return of investement and standard devation (Without risk free rate)
I have a microeconomics task in investment analysis. How do you pick the best share based on return of investment and standard deviations? The task is like this: 3 shares:
Share A: 10% ROI & 20% ...
1
vote
1answer
89 views
Sharpe testing in R
My goal test: The statistical significance of the difference in Sharpe ratio between funds A and B.
My data: I have daily prices from January 23 2008 until 10th of April 2019 (n = 2818 observations). ...
1
vote
1answer
106 views
Sharpe Ratio - How do I calculate my risk free rate from daily yield data?
I am trying to compute a Sharpe ratio for a portfolio spanning over 20 years. I have daily data for the portfolio, as well as the yield of CH10Yr (10 year bond in Switzerland, downloaded from Thomson ...
1
vote
1answer
86 views
No-arbitrage and the sharpe ratio?
I'm reading a paper and it says that in a no-arbitrage market the sharpe ratio is the same for all bonds. I'm guessing that a difference in two bonds sharpe ratios would open the possibility of ...
2
votes
1answer
68 views
Modified Sharpe ratio
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 ...
1
vote
1answer
78 views
Calculating Ex-ante Sharpe Ratio in multi-period setting
I have built a return process $\{x_t, t = 1,\dots,T\}$ for an asset. Suppose I have generated $K$ sample paths $\{x_t^j, t=1,\dots,T\}, j=1,\dots,K$. I think of two ways to compute the Sharpe ratio.
...
1
vote
1answer
52 views
Can I calculate Sharpe ratio by running over many samples?
I have an algorithm that I am backtesting 200 times. It trades over 200 trading days per iteration.
My sharpe ratio is calculated as follows:
...
1
vote
2answers
56 views
Compare ex-post Sharpe ratio of multiple portfolios?
Say I want to compare the Sharpe ratio of two portfolios, is it necessary to look at the excess return? Or can you just compare their average return divided by their standard deviation?
So basically, ...
3
votes
1answer
142 views
Risk-return ratio using ML default probability
I have access to a very large bond database (>20m rows) where 50% of the set are matured bonds for which a dummy variable identifies whether the bond defaulted or not. The remaining 50% are 'live' ...
2
votes
0answers
34 views
Which performance evaluation measure to assess “Connectedness Matrix” based porfolios?
1. Question
Which performance evaluation measure would be best to assess the portfolios built on 'connectedness matrix'? The connectedness matrix is the concept introduced in the academic paper "...
2
votes
0answers
90 views
Alpha decay for strong vs weak signals
Assuming you are computing alpha decay similarly to shown here (e.g., exponential decay of the information ratio with lagged signals).
I'm wondering whether it is preferable to treat strong vs weak ...
6
votes
3answers
845 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 ...
1
vote
1answer
110 views
A positive Sharpe ratio when portfolio loses money, can that happen or bug in my code?
I'm having a trouble calculating (annualized from daily performance) Sharpe ratio, even though I've read some related posts here.
Say I have a daily performance, for example: $$[1.15, 1.2, 0.7]$$ ...
0
votes
0answers
68 views
Another variation of the 'Sharpe ratio' in CVaR-based portfolio optimization?
Question
What is the ratio S(p) shown below? Do we have a name for it like 'Sharpe ratio'?
The ratio above is introduced in the academic paper Optimal portfolio selection in a Value-at-Risk framework
...
2
votes
2answers
74 views
Is the sharpe ratio calculated taking the standard deviation of the portfolio or of the excess return?
Does the formula consider the standard deviation of the excess return: $$\frac{𝑟−𝑟_𝑓}{𝜎{(𝑟−𝑟_𝑓)}}$$ or that of the return: $$\frac{𝑟−𝑟_𝑓}{𝜎{(𝑟)}}$$
0
votes
1answer
101 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, ...
1
vote
0answers
174 views
Maximum Sharpe Ratio Portfolio
Conceptually, what are the drawbacks / unforeseen risks of running a portfolio whose weight are derived from what would have maximised the sharpe ratio over the previous time period (last 30 days) ?
0
votes
1answer
1k views
Portfolio Weight Sum and Negative Weights
I'm calculating the weights of 10 securities in a portfolio for a course project, with the objective of maximizing the sharpe ratio. I'm getting both positive and negative results for weights. The ...
2
votes
0answers
179 views
How to calculate “Differential Sharpe ratio”?
Instead of using the "sliding the time window" method of calculating the sharpe ratio under online framework,
they've defined "differential sharpe ratio" as such
But under equation 5, you can ...
0
votes
1answer
49 views
Calculation of Information Ratio
When calculating an information ratio, should the average of monthly returns be used or the cumulative monthly returns be used?
Thanks!
2
votes
3answers
208 views
Calculating Sharpe Ratio with dynamic position sizing
I'm currently backtesting a mean reversion pairs trading strategy. However, instead of simple long or short trading signals, I'm using multiple "levels", where the further away the spread is from the ...
1
vote
4answers
413 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 ...
0
votes
1answer
161 views
How is breadth for Information Ratio Calculated
An alternative definition of the information Ratio (sharpe ratio) is:
$IR = IC\sqrt{BR}$
I have been reading Grinold and Kahn. I have the following questions for calculating BR:
Q1. If 500 stocks ...
2
votes
1answer
726 views
How to measure the Sharpe Ratio of a high frequency trading strategy?
The Sharpe Ratio is defined as Sharpe ratio = (Mean portfolio return − Risk-free rate)/Standard deviation of portfolio return.
Unfortunately, this does not make ...
1
vote
1answer
73 views
Sharpe Ratio with Stochastic Interest Rate?
All versions of the Sharpe ratio that I've seen seem to assume that the risk-free rate is constant, and the standard deviation of the excess return in the denominator simplifies to the standard ...
2
votes
1answer
134 views
Annualising Data
I have a 3 year performance track record of monthly returns. I am trying to calculate the Sortino Ratio, Information Ratio, Treynor index etc.
In calculating the Sharpe Ratio I have multiplied the ...
1
vote
1answer
179 views
Multi year performance evaluations [closed]
first question here on StackExchange;
I would value your help, I am on excel working with a 3 year / 36 month investment performance. I am calculating the Sharpe Ratio as follows;
Cell KV32 = ...
2
votes
2answers
318 views
performance measure using pnl series
I have a time series of \$pnl of a strategy and nothing else. Can i use it to come up with some sort of a performance measure adjusted for risk? Is $$ \frac{average(\$pnl)} {sigma(\$pnl)}$$ ok to use ...
2
votes
0answers
346 views
Calculating Ex-Post Sharpe Ratio
I'm trying to calculate an Ex-Post Sharpe Ratio for my portfolio and I would appreciate verification I'm doing it correctly.
I have my portfolio's daily returns in one column and my benchmark's ...
4
votes
1answer
309 views
What is the industry standard way of calculating and annualizing performance metrics?
Say I am looking at a performance report for a hedge fund manager who trades mostly equities, and they provide me a list of monthly returns for the past 5 years. What is the industry standard way to ...
1
vote
0answers
77 views
Definition request - Brownian Motion Characterised by Sharpe Ratio
What is the Stochastic Differential Equation for a "Brownian Motion Characterised by Sharpe Ratio"?
I saw it in a paper ("Lessons from the Mortician: volatility modulation") and the authors do not ...
3
votes
0answers
138 views
Sharpe ratio for dynamic portfolio
I want to test the performance of my strategy with different rebalancing period. I'm struggle with calculating the overall performance on backtest results and making final conclusions.
For example, ...
4
votes
1answer
266 views
Portfolio Allocation given Sharpe Ratio
If there are two portfolios with sharpe ratios of 1.2 and 0.5, what would be the allocation rationale.
If the correlation between portfolios is:
$a. 0 $
$b. 0.8 $
$c.-0.8 $
I see there is a ...
9
votes
1answer
3k views
How to calculate Sharpe Ratio from $ returns?
I have a pairs strategy that I am trying to calculate the sharpe ratio for. Currently I am using python for my analysis and calculation. I have a dataframe that contains the cumulative returns in $'s ...
2
votes
1answer
967 views
maximize Sharpe ratio in portfolio optimization
I am trying to understand how to maximize Sharpe ratio in portfolio optimization.
$\boxed{\begin{align}\max\>&\frac{r^Tx-r_f}{\sqrt{x^TQx}}\\ & \sum_i x_i = 1\\ & x_i\ge 0\end{align}}$
...
4
votes
1answer
287 views
What is the relation between Relative Risk Aversion and Market Price of Risk
If we assume that the preferences of investors in a market aggregate to display the following utility function
$$u(W)=\dfrac{1}{1-\gamma}W^{1-\gamma},\quad \gamma>0,\quad \gamma\neq1$$
then from$...
0
votes
0answers
114 views
Sharpe Ratio Calculation Best Practice
For Sharpe ratio formula : $SR(s) = \frac{(x_s - r)}{\sigma_s}$ where for the time period under evaluation :
$x_s$ represents the average return of the portfolio
$r$ represents average return of ...
