Wow…
You managed to get into some very complicated maths which would make it more complicated the further you proceed.
I will just simplify it but firstly…What is a net positive delta position ?? You need to explain that term to me before I can answer you on that.
Ok. Understand this…this is not a perfectly hedged position, there is a ratio of 2 : 3 in the hedge so there is a leak as the market moves down past the 1.29 level but this is not a dramatic situation and easily mitigated so it is not an issue but know that action is required as the market moves that way, if it does. Remember we act according to what the market dictates so we do not predict if it will go there, we wait for it to go there before we action anything. If it does not, no action needed then. If it does, we do something, no drama.
Another thing, we DO NOT have to hold the options till expiration. Sometimes we may want to but we do not HAVE to.
The easiest way to cut out all the mind boggling maths is to use expiration scenarios. We can do the maths for present time situation and the maths for expiration scenarios and then we know the two limits and between now and expiration, all situations will only be between these two limits.
Agreed ?
You are comfortable with the upside scenario so we leave that out and just focus on the downside scenarios.
Let’s take 3 points where the market could be at expiration and do the maths for those 3 points…the rest can then be easily extrapolated from those 3 points.
Point 1 Market at option expiration is 1.2950
Point 2 Market at option expiration is 1.2900
Point 3 Market at option expiration is 1.2850
Point 1. Market at 1.2950
Spot is short at 1.2952
Long CALL at 1.2900 exercised
Short PUT at 1.2900 expires.
Cash balance is $104,000
Spot at 1.2952 is set off against CALL exercised at 1.2900 for profit of 52 pips $ 5200.00
Cash balance now $104,000 plus $5200 = $109,200
Short PUT expires at 1.2900 so $0
New cash balance $109,200
Zero positions.
Point 2. Market at 1.2900
Spot is short at 1.2952
Long CALL at 1.2900 expires.
Short PUT at 1.2900 expires.
Cash balance is $104,000
Spot at 1.2952 is current with 52 pips profit. This needs to be liquidated to set off and null positioned. Profit 52 pips = $5200
Cash balance now $104,000 plus $5200 = $109,200
Long CALL expires at 1.2900 so $0
Short PUT expires at 1.2900 so $0
New cash balance $109,200
Zero positions.
Point 3. Market at 1.2850
Spot is short at 1.2952
Long CALL at 1.2900 expires.
Short PUT at 1.2900 exercised.
Cash balance is $104,000
Spot at 1.2952 is set off against PUT at 1.2900 for a profit of 52 pips. $5200 profit. 500,000 remnant of 1.2900 PUT is current and needs to be set off for a 50 pips loss so - $2500
Cash balance now $104,000 plus $5200 = $109,200 - $2500 = $106,700
New cash balance $106,700
Zero positions.
You might agree this is an easier way to visualise it.
EXPERT