Questions tagged [rolling]

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3
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0answers
145 views

Does the Shannon entropy of stock returns change over time?

Shannon entropy, $H(X) = -\sum_{i=1}^n p(x) \ln p(x)$ is a probabilistic measure of randomness or disorder within a random variable's probability distribution or histogram. If we take rolling window ...
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0answers
59 views

Volatility of multimodal distribution of returns

Take $x_1, x_2, \ldots, x_T$ to be the price of a stock, indexed by $t=1, 2, \ldots, T$. Define rate of return at time $t>W$ for a window size of $W$ to be $$r_t = \frac{x_t - x_{t-W}}{x_{t-W}}$$ ...
2
votes
1answer
36 views

How can I convert rolling annual returns back to quarterly returns?

I have a series of rolling annual returns and would like to convert these back to quarterly returns, which have not been provided. Is this possible formulaically, or is something like Excel's solver ...
0
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0answers
34 views

Rolling Hedge Performance

So I have Time Series data for Gas Spot and Futures Prices (first 6 front quarters and first 3 front years) from 2009-2019 and I want to evaluate the performance of a 3- year static hedge vs. 3- year ...
0
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0answers
33 views

First principles implied financing cost embedded in equity futures

i was reviewing this doc produced by the CME - https://www.cmegroup.com/education/files/S-and-P-500-Implied-Financing.pdf Per the document, if I take the following as a given: 1) Roll = Deferred ...
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0answers
56 views

Correct way to calculate the S&P500 average CAGR of earnings over 10 years rolling periods

Let's say we have only the following data for the earnings (e) and we calculated for each 10 years period the total earnings growth (G) and its Compounded Annual Growth Rate (AG) \begin{equation} \\...