Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [sharpe-ratio]

Excess return per unit of deviation in return.

0
votes
1answer
47 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 ...
0
votes
1answer
33 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
34 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
42 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
49 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
125 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
29 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
60 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
326 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
99 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
39 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
72 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
72 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
69 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
0answers
39 views

Why isn't the Sharpe ratio risk free rate determined for each time period separately?

When calculating the Sharpe ratio why is the same risk free rate (90 day T-Bill) rather than the risk free rate for each individual period used?
0
votes
1answer
370 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
117 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
42 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
132 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
307 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
85 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 ...
1
vote
1answer
460 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 ...
0
votes
1answer
62 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 ...
1
vote
1answer
89 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 ...
0
votes
1answer
80 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
176 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 ...
1
vote
0answers
232 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
214 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
62 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
106 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
216 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 ...
7
votes
1answer
1k 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
734 views

maximize Sharpe ratio in portfolio optimization

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

What do you optimize for? Sharpe ratio, profit factor, profit/drawdown, etc

In my experience, strategies perform best on OS (OutOfSample) data, when I optimize them for maximum Sharpe ratio (on InSample data) at the opposite extreme, when I optimize strategies for ...
4
votes
1answer
236 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
99 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 ...
2
votes
1answer
775 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 ...
1
vote
1answer
273 views

Many quants optimize sharpe ratios, sortino ratios, or anything of the form A/B. What about maximizing something of the form (AB)/(CD)?

The Sharpe ratio is defined as return/risk, generally as mean(ret)/sd(ret), where ret represents the data set of returns of an investment. However, I have seen other ratios that I also like. What I ...
5
votes
0answers
188 views

Bayesian strategy selection

I have N strategies/signals that I would like to allocate to. I want to estimate an estimate of future performance based off of recent realized performance (momentum of strategies per se - e.g. ...
0
votes
0answers
835 views

What is the CAPM implication for Sharpe Ratios?

Suppose a world where the CAPM holds, i.e. stocks with higher beta have higher expected returns. What would be in this world the implication for Sharpe Ratios? Would stocks with higher beta also have ...
0
votes
2answers
516 views

Calculating 10-year Sharpe ratio for a mutual fund in excel?

Probably a very simple question but here goes. I am looking to calculate the Sharpe ratio for some funds in excel (173 funds to be exact). The monthly returns I have are from January 2006 to December ...
4
votes
1answer
269 views

how is the sharpe ratio (or other risk/return measure) computed for a bond?

What is the industry norm to compute a sharpe ratio for a bond? For a stock one would typically take a time series of daily returns, compute the average daily return, compute the standard deviation ...
1
vote
1answer
91 views

How to correctly use SharpeRatio.annualized function with daily returns and proxy for daily risk free rate

I am not sure if am correctly using SharpeRatio.annualized function. I am passing following parameters (dailyRet, dailyRF, scale = 252), where dailyRet is an XTS type for daily returns, dailyRF is an ...
1
vote
1answer
120 views

Can someone please verify or disprove this Sharpe Ratio math logic for me

I want to start by stating a problem that I wanted to figure out initially so that this all ties in somehow. I initially wanted to figure out if individual securities in an efficient portfolio all ...
4
votes
1answer
136 views

Risk Compensation

I try to understand the different ways to compensate for risk. In the CAPM, when we plot the excess return against the risk, we find that portfolios of interest lie on the efficient frontier (i.e. ...
3
votes
1answer
202 views

Log returns: volatility, outperformance, Sharpe/information ratios

I have developed the habit of simply stating that a 21% return compared to a 10% benchmark return means that the outperformance was 10% (not 11%). So, treating the whole thing in a multiplicative way, ...
3
votes
5answers
337 views

Logic behind sharpe ratio

I have a confusion regarding how the sharpe ratio is derived. My question is why the denominator contains the standard deviation of returns of portfolio? I mean why did someone came to this conclusion ...
2
votes
1answer
305 views

Sharpe Ratio of ETFs in R

Suppose I want to calculate the Sharpe ratio given a risk free rate of 0.05 for a portfolio consisting of assets from 500 ETFs. How can I do so in R given the data I've collected thus far in my R code?...
2
votes
2answers
953 views

mean variance optimization vs max sharpe ratio

I keep reading/hearing that the results from mean-var optimization is max Sharpe ratio. It seems making sense if you fix either target return or target risk, but in general, it doesn't seems right, ...
3
votes
1answer
248 views

p-value of Sharpe Ratio Differences

I am trying to understand what was done in this study by Research Affiliates on the small cap anomaly. Looking at Table 1, how are the authors actually calculating the p-value? I have read that the ...