Questions tagged [returns]

The asset rate of returns is the profit on a particular investment; it includes any change in the asset value, interest, commission or dividends and so, all other cash-flows which an investors receive or pays due to the investment.

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How to identify daily returns as an unusual daily return given a dataset

I am currently calculating daily returns of a stock with the following formula: $$R_t = \frac{P_t - P_{t-1}}{P_{t-1}}$$ However, once I have the data, I am unable to establish a range to classify the ...
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Taking into account of transaction cost and initial margin into calculation of Returns and Sharpe Ratio

As a follow up question to this question How to take into account of transaction cost in return and Sharpe Ratio? I am thinking that if I need to take into account of transaction cost, and suppose I ...
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Trying to understand the notion of required return

I have been thinking about the notion of required return lately. I am not familiar with a formal definition, but I have tried to reason my way towards one. Please let me know if my approach makes ...
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1 answer
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How to derive the sharpe ratio for an intraday strategy

I have an intraday strategy, which will place 0-5 trades for each intraday trading session. (Note that some days it will not place any trades out). The average duration of a trade is around 33 minutes....
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How to calculate Quartile (or Decile) returns

I have split the following portfolio of 20 stocks into 4 quartiles by say market cap. My main question is how would you ...
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Equity and Credit Portfolio Return

This might sound like a trivial question but would appreciate the answer. How would you calculate the return of the portfolio consisting of only equity and credit instruments? For example, consider ...
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combining forecasts at different time horizons

I define a prediction of return of an asset as the following: at time $t=0$, I use my data and output that I expect the asset to make the following returns (in expected value) in the next n intervals $...
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Does anyone know of a proof of the multiplicative central limit theorem?

I have been told there is a multiplicative CLT. It says that - no matter the shape of returns distributions - if you multiply consecutive iid RVs (centered at 1.1, for instance), then a lognormal is ...
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1 answer
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Am I able to find individual returns from total weighted average of returns? [closed]

As titled states… I am trying to figure out how to solve for individual return given average weighted total return and weights of individual returns? For example: 2% = (r1 x 0.2) + (r2 x 0.5) + (r3 x ...
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Mean of diffusion term not zero using NORMINV? [closed]

maybe this is a question considered too basic for all of you but im new so please excuse: I wanted to buid a simulation in excel using the usual suspect(STANDNORMINV(RAND()) and i tried to calculate ...
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1 answer
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Student-t measure of return volatility and time scaling

I have a series of price returns of an asset (4 days worth of data). They are relatively high-frequency. My ultimate goal is to calculate realized volatility, but using a student's t-distribution. I ...
-1 votes
1 answer
242 views

Daily vs Monthly vs. other return for volatility calculation?

I thought I read/heard somewhere that annualized volatility, using monthly returns vs daily returns is usually lower. With that said, I can't seem to find any papers on this. Does anyone have any ...
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calculating probability of a return below a specific value [closed]

assume a probability distribution with a mean of %10 and standard deviation of %1.5. In wanting to solve the probability being lower than %5, the normal distribution is written down and integrated as ...
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How to calculate the portfolio risk and return if daily share prices, volume held on that day is given for all assets?

The problem is with the changing volume of assets which changes the weights. I want to use the formula for portfolio risk but cannot figure out the weights. Should taking average weight of an asset ...
1 vote
1 answer
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Why the portfolio return is defined as a weighted return?

After reading the modern portfolio theory, I am wondering why the portfolio return is defined that way. Suppose there are $n$ assets in a portfolio, the simple return of an individual asset $i$ at ...
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Forward returns measurment?

Is there a common approach to measure how a forward contract is performing? Here's what I'm thinking, each day you would price your forward with the next formula. $$ F_t = S_0 e^{-r_f T}-Ke^{-r T} = (...
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1 answer
71 views

Correlation between CDS return relevance

I see that there is much literature that uses the correlation notion in the equity returns to construct a graph or look into how they are related to one another. If we want to extend this to Credit ...
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271 views

How can I measure returns such that the average is useful?

If I measure daily returns by simple percent change, a -50% day then a +50% day (or vice versa) results in a true -25% total change, but the average makes it look like you would expect a total 0% ...
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1 answer
57 views

Alpha calculation inconsistent across methodologies

I'm fairly new to finance, and this does not make sense to me. Consider benchmark & active monthly returns as shown here: If I do a line of best fit, I get an intercept of 8.4% Which is meant as ...
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Why are monthly active returns averaged? Should they not be multiplied?

I'm looking at this video: https://www.youtube.com/watch?v=fZmuJ2A9TC8 @4:43 but the issue is more general. Here the speaker is taking monthly active returns and averaging them ...
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1 answer
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Why is NPV a biased measure?

I was studying return measures such as NPV and IRR from Damodaran's "Applied Corporate Finance" and one thing that he continuously mentioned was that NPV is biased towards projects with ...
0 votes
1 answer
276 views

long short portfolio sharpe ratio

What is the proper way to caluclate sharpe ratio for the long short portfolio? When I calculate daily return with no cost, I use this formula: (return for long k.mean()+ (-1)*(return for short k.mean()...
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226 views

Returns of an interest rate swap

I would like to calculate returns for a plain-vanilla (fixed-for-floating) interest rate swap. Consider, that I am long in USD 5-year swap rate, i.e. I'm holding a receiver swap for 5-year swap rate ...
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I.I.D log returns. What about their square?

If one assumes the underlying return process is I.I.D, is there a solution to the question of the autocorrelation of squared returns? Thanks.
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calculate trading returns when trade nominal goes up in 100 dollar increments

I am trying to calculate total and annualised returns on trading. The problem is that the trades placed have a minimum size of 100 dollars, so we cant assume continuous compounding (100% reinvestment)....
1 vote
1 answer
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Computing Delta-Hedged Option Returns

I was reading some papers on delta-hedged option returns and came across an intriguing paper that I found quite interesting. However, I was a bit confused on the authors' methodology of computing ...
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Calculate returns using Federal Reserve's constant maturity interest rate series (for 5, 10 and 30 years)

I am looking to replicate the results from a older research paper. To do that I need first to calculate the returns from Federal Reserve's daily constant maturity interest rate series. According to ...
2 votes
2 answers
273 views

How to annualize Sharpe Ratio if monthly returns are serially correlated? Calculation of autocorrelations

I am looking at a data set of 60 monthly returns (last 5 years) and want to calculate an annualized Sharpe Ratio. The usual way of doing this is to calculate the monthly Sharpe Ratio first, and then ...
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Theoretical returns are not matching empirical ones in my backtest

I'm trying to implement a Backtest for my quant strategy but the calculated theoretical returns are not matching the returns from my implementation. Here's the example: On a given day I have 1 million ...
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1 answer
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Are Fama-French returns in percentages?

I am working with data from Kenneth French Data library. While I am aware that they use simple returns, I remain unsure about their format in downloadable files. This is an extract of the file "...
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Returns of interest rate swap

I would like to calculate returns for a plain-vanilla (fixed-for-floating) interest rate swap. Consider, that I am long in USD 5-year swap rate, i.e. I'm holding a receiver swap for 5-year swap rate ...
  • 1
1 vote
1 answer
214 views

Variance of the price from returns variance

Let's say that we have the variance of the daily return at $t_0$: $$\sigma_{r_{t_0}}^2=\text{Var}[r_{t_0}]=\text{Var}[\frac{S_{t_0}-S_{t_0-1}}{S_{t_0-1}}]$$ for price process $S_t$. Is there a way to ...
1 vote
1 answer
390 views

Does it make any sense to normalize returns?

I have been going through a course for Time Series Analysis. First we learned to make returns from a time-series of stock index by (Xt - Xt-1)/Xt-1 . This makes the series stationary, which means we ...
1 vote
0 answers
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Are the monthly risk free returns on the French data libary website annualized?

when using the monthly Fama/French 3 Factors .csv file on the French data libary web site, it is possible to see that the left column includes the monthly excess return of the market (Mkt-RF) and the ...
2 votes
3 answers
288 views

Stocks' returns distribution

I understand that stocks' returns are not normally distributed. However, is there any method that we can rescale the stocks' returns so they look more like normal distributions? I managed to find a ...
0 votes
0 answers
125 views

Correct return calculation if short position involved

I wanted to calculate the daily return for a long-short position. Say one has 1 unit of stock A (long) and alpha units of stock B short. How can one now calculate correctly the daily percentage return?...
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Calculating 'times earnings' - Intelligent Investor book question

I'm reading the Intelligent Investor and I came across a passage where Graham calculates the 'times earnings' of the DJIA. But is it wrong, or am I misreading it? Since the market value of these ...
1 vote
0 answers
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How is a return-adjusted nearby created?

I am reading Value-at-Risk Second Edition – by Glyn A. Holton https://www.value-at-risk.net/futures-nearbys-and-distortions/ From 6.6.1 "The standard means of obtaining continual time series from ...
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How to calculate return on a series of long position for each price point

The return between two price points can be calculated as Price(present)/Price(previous) -1 Or, it can be expressed as ...
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Calculate total index return given only capital gains and income returns

Given total index return for a single period can be characterized as : $$TR_{1}=\sum_{i=0}^Nw_i \frac {(p_{1i}-p_{0i}+inc_i)}{p_{0i}} $$ Is there a way to rewrite or derive a multi-period form of the ...
0 votes
1 answer
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How is VaR calculated with mixed return-periods

For example, if you have a dataset of returns that are not daily or yearly, but span 24 days, 1 day, 5 days, 7 days, etc., how do you calculate or interpret the VaR of that? I've tried linearly ...
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Performance Attribution and FX positions

I'm currently reading the book "Mastering Attribution" from Andrew Colin. He first explains that you can separate the FX returns from the security return if the returns are continous ...
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1 answer
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Simulating Correlated Stock Returns in Python (SciPy)

I'm looking to generate stock returns with inter-stock correlation in Python. However, the output is not behaving properly and may have accidental temporal correlation causing issues. This code is ...
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How to calculate the BHAR (Buy-and-Hold Abnormal Returns)?

I am doing my research related to IPOs long term performance. For the BHAR formula, I just want to clarify the formula is that always compare with the first trading day price, or is compared with last ...
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returns, standard deviation and mean absolute deviation

I'm trying to understand the relationships between return, standard deviation and mean absolute deviation. I saw someone mention: $daily return * 16 \approx annualized volatility$ $weekly return * 7.2 ...
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1 answer
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how to calculate YTD return including the paid dividends

I am looking for a way to compute YTD return and I found this question (calculate YTD return / find first available datapoint of a year in python), however, it seems that it does not include the paid ...
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1 answer
192 views

Calculation of Fama-French risk factors

Background: I am conducting some research on equity returns across Denmark, Finland, Norway and Sweden. The analysis is seen from a Danish investor’s point of view, and therefore I have currency ...
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CURRENCY ADJUSTED RETURNS: How to adjust stock returns in foreign currency (e.g., EUR) to local currency (USD)?

I have collected monthly stock returns (in %) denominated in EUR and exchange rate EUR/USD. I am trying to adjust the monthly stock returns denominated in EUR to monthly stock returns denominated in ...
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What is higher order moment of firms?

Today I read a sentence that "in US, expected market excess returns can be predicted using average higher order moments of all firms". When I read further, "higher order moments" ...
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1 answer
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Inflation β = 1 meaning a “perfect inflation hedge?”

I read somewhere (Ang, Brière, Signori: Inflation and Individual Equities, 2012) that in a given period if the inflation rate rises by 1% point (say from 1% to 2%), and the return of Asset A rises ...

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