I got that from Tuckman 4.11 - the AIM refers to Tuckman 4.11
(but it's 181/360, right?)
I think the phrase there "simple compound rate" is an error. Technically, i think it's an error b/c it's an oxymoron. Simple implies no compounding. Apologies.
Should just be "simple rate"
where simple rate = [1/2 of his semi annual rate or his r] * 360/181
the reason for this conversion is day count convention: actual/360
but if you'll forgive my semantic error (delete 'compound'), then the top of 45 is simply
(if we nix the use of simple and, worse, market)
converting one semi-annual or bond-equivalent return...
(notice the precision of these terms)
...into another semi-annual or bond-equivalent return
and only *merely* translating for day count convention;
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