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Quote from MTE:
I see what you mean, but it's not a mispricing. Once you take into account the cost of carry it works out even. On 140 strike the cost of carry is 140*0.0525*10/360=0.20, which is what the profit on the conversion is.
Quote from yip1997:
MTE,
I don't understand what you meant. I thought the cost of carry is built into the option pricing model. I am using SPY (not a future). What I don't understand is why the IV for call is not the same as IV for put.
Using the diagram that I posted, IV for Jan 140 call is 11.99, and for Jan 140 put is 10.92. TOS told me that both were computed using the mid of bid and ask.
There is a discrepancy between TOS model and my own, I like to get your opinion to get it fixed as I might have some misunderstanding of the option theory.
Can you illustrate what you meant the conversion profit using the following data (the data from my diagram)?
SPY @ 141.13
Bid Ask IV
Jan07 140 call 1.85 1.95 11.99
Jan07 140 put 0.50 0.60 10.92
[edit] I understand there is no arb profit in this case. Just don't understand why TOS shows different IV.
Quote from MTE:
Ok, let's do the calculation (using the midpoints). Since the put is trading at lower IV it is presumably underpriced (the call being overpriced). So in order to arb that we sell a call at 1.9, buy a put at 0.55 and buy the stock at 141.13. This means that we sold the synthetic stock for 141.35 (140+1.90-0.55) and bought the actual stock at 141.13. So, we got a difference of 0.22. The cost of carry on the actual long stock, with 10 days to expiry and interest rate of 5.25%, is 0.20 (140*0.0525*10/360), which is almost exactly the same as the difference we locked in. So, as you can see, and as you have correctly pointed out, the cost of carry is built in to the option pricing (i.e. into the synthetic stock).
Quote from yip1997:
MTE,
Thanks for the clarification.
I don't understand why the IVs shown in TOS are different. Does it mean TOS's computation is wrong?
Quote from MTE:
Just finished talking to TOS, it's not a model a problem. Looks like the market makers are bidding the calls slightly higher causing the IV to be higher. That is, the calls are bid parity, which puts the midpoint higher and thus causing the IV to be higher, but there is still no arb opportunity.
Quote from MTE:
Just finished talking to TOS, it's not a model a problem. Looks like the market makers are bidding the calls slightly higher causing the IV to be higher. That is, the calls are bid parity, which puts the midpoint higher and thus causing the IV to be higher, but there is still no arb opportunity.
Quote from RichardRimes:
I put on a Mar debit spread (call) 1415/1425 and noticed over 10K contracts traded at those two strike points..while over on the put side no equivalent number of trades so the above explanation does seem to make sense.
Quote from lindq:
If you are only mildly profitable thus far, options are not likely to help you. You will be fighting spreads and time decay, which are hurdles you don't face when trading the underlying stock.