<p>Use the same equation with <span class="math-container">$N$</span> being the number of hours in a week, or more generally, the number of shorter periods in a longer period:
<span class="math-container">$$
(1+r_\text{short})^N=1+r_\text{long}.
$$</span>
You can manipulate this equation to express <span class="math-container">$r_\text{short}$</span> or <span class="math-container">$r_\text{long}$</span> or even <span class="math-container">$N$</span> as needed.</p>

CC BY-SA 4.0
2023-07-24T11:59:49.550Z
2023-07-24T12:05:54.657Z
2023-07-24T12:05:54.657Z
Richard Hardy
<p>Hey am newb started studying economics
I have questions about returns of any asset
I know how to calculate annualized returns by (1+returns)^(1/N)-1=annualized_returns
N=number of periods</p>
<p>Let's say I have hourly data returns
How to calculate weekly returns</p>

CC BY-SA 4.0
2023-07-24T12:03:45.617Z
It should be N instead of 1/N.
Richard Hardy
CC BY-SA 4.0
2023-07-25T09:01:26.070Z
Punctuation makes reading easier,
VARulle
<mathematical-economics><finance>
How to calculate returns for other frequencies?
user3741124
# How to calculate returns for other frequencies?

(Asked by: username_0 on 2023-07-23)

Hey am newb started studying economics
I have questions about returns of any asset
I know how to calculate annualized returns by (1+returns)^(1/N)-1=annualized\_returns
N=number of periods

Let's say I have hourly data returns
How to calculate weekly returns

**Tags:** mathematical-economics, finance
> **Comments:**
> **username_1**: It should be N instead of 1/N.  
> **username_2**: Punctuation makes reading easier,  

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## 1 answers

### Answer by username_1 on 2023-07-24. Score: 2 | Accepted answer

Use the same equation with $N$ being the number of hours in a week, or more generally, the number of shorter periods in a longer period:
$$
(1+r\_\text{short})^N=1+r\_\text{long}.
$$
You can manipulate this equation to express $r\_\text{short}$ or $r\_\text{long}$ or even $N$ as needed.


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