# 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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### Are cumulative returns stationary?

Log differenced returns, computed from stock prices, are known to be stationary. What about cumulative returns, are they also stationary? if not why not? Are there other properties, like non-i.i.d., ...
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### How to deal with missing stock returns?

If I want to calculate the Covariance between two stocks but there are missing days in both, how can I deal with missing data? I want to use Pairwise deletion and only use the days of which both ...
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### Calculate annualized returns and annualized volatility from monthly returns?

I have a dataset with monthly returns (In decimals) Jan-2008, Feb-2008 .... Dec-2008, Jan-2009 .... Dec-2017 This is what I have done, ...
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### Excess Daily Returns to Excess Quarterly Returns

I am building a model which predicts the Excess Daily Returns over a time period. How do I convert these excess daily returns to excess quarterly returns? Should I just do an average of all the daily ...
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### Optimize risk return of portfolio

I have gathered stock prices from 15 companies over a year. I calculated the averages, yearly volatilizes, and the correlation matrix. I was asked to find the optimum weight for each stock with a ...
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### pairs trading algorithm with returns

I'm having a difficulty grasping how to write a pair algorithm using returns instead of prices. With price differences, I have the mean difference over a long time period. When the current price ...
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### Which returns to use for portfolio optimiaztion?

On the base of which returns do I have to derive optimal portfolio weights of an investment strategy? More specifically, do I have to use the excess returns or just the normal returns of the ...
I have a time series $X_t$ generated from a standard GBM $$dS_t = \mu S_t dt + \sigma S_t dW_t$$ If I take the log returns over a rolling window of length $l$ r^{(l)}_i = \log \left( \frac{S_i}{...