Spreadsheet 4.b.3

arteja

New Member
Hi David,

I was going through spreadsheet 4.b.3, and I have a question regarding the average return. It is calculated as
(daily log return - r_avg)^2.

What exactly is the r_avg here?

thanks,
Ravi
 

David Harper CFA FRM

David Harper CFA FRM
Subscriber
Hi Ravi,

(if you are using Excel, one of my favorite tips is: CTRL+[ selects the precedent cells, then TAB cycles thru...so here, CTRL+[, Tab takes you right to the source cell)

r_avg is the average log return in the series, per the technically correct variance fomula:

sum of: (log return_i - average log return)^2 / (n-1)

...that's just the correct unbiased est of variance...as Hull shows, in practice for daily log returns, we make two simplifying assumptions

1. avg return = 0 (near enought to for daily periods) and
2. use (n) instead of (n-1)

to give a simplified formula for daily variance: average squared return! i.e., sum of [log return^2] / n

David
 
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