Payoff For Collar Spread Versus Bull Spread

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rellison

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I am doing a CFAI Problem from “Application Of Derivatives - Omega”. I can’t write the whole problem out, but this is curious: The Profit On A Collar includes the difference between St and S0:
Profit Per Collar=St + max(0, x(put)-st) - max(0, st-x(call)) - putpremium - callpremium.
But the Bull Spread Payoff features only the options, not the difference of St-S0:
(HigherExercisePrice - LowerExercisePrice - LowerCallPremium + HigherCallPremium.
Why is this?
P.S. If you need me to write the problem out for context I can, but I was more interested in whether these two formulas are always different in this way.
 
A collar includes the underlying (so, long the underlying); a bull spread does not include the underlying.
 
Thanks JJ1337. Are there any other option “procedures” that automatically include the underlying?
 
rellison wrote:
I am doing a CFAI Problem from “Application Of Derivatives - Omega”. I can’t write the whole problem out, but this is curious: The Profit On A Collar includes the difference between St and S0:
Profit Per Collar=St + max(0, x(put)-st) - max(0, st-x(call)) - putpremium - callpremium.
But the Bull Spread Payoff features only the options, not the difference of St-S0:
(HigherExercisePrice - LowerExercisePrice - LowerCallPremium + HigherCallPremium.
Why is this?
P.S. If you need me to write the problem out for context I can, but I was more interested in whether these two formulas are always different in this way.
Click to expand...
I think your collar profit equation is incorrect. Collar’s long put short call so the call premium should be added
 
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