Hedge ratio formula differences question

ext

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Hi everyone,
Can someone kindly tell me what the difference between these two hedge formulas are and when you’d use the first one?
Formula 1: (DH * PH) / DCTD * PCTD) … I haven’t really seen this formula, i know how to apply formula 2. can someone please explain how they’re similiar and the application?
Formula 2:
{[(DT – DP) / DCTD] * (VP / PCTD)} * CF * Yield β
Formula 3: contract value / asset value ….. has anyone else come across this one? i haven’t seen it applied in any of the EOC questions.
Appreciate your time and help everyone!
 
Formula 1 never used in my academic experience. Never come across exercises for it. It does sound as the hedge ratio
Formula 2 tells yu how many bond futures you need to change duration of your bond.
Formula 3 no clue
 
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