Quote from atticus:
You truly are out of your depth. Here you go. I will write you a SPY 160 strike perpetual call at 65.00 at 27% vola. I'm running a special for today only! I'll sell you a 120-year 160 euro call at 62.00! PM for wire details on your haircut. What you don't know about replication would fill the Library of Congress.
I did not check the numbers, but many problems with your offer:
1. Your option is not perpetual. Pick a dictionary and read the meaning of perpetual. 120 years is not.
2. Your vol assumption is too high.
3. Counter party risk should be zero (currently it is infinite.)
4. Make a market at all strikes, for puts and calls, ITM and OTM.
5. To make sure you believe your own prices, provide bids and asks,so we can keep you in check.
6. Other things...
But the main points that you have to clear are: Perpetual (but priced as a 100 years using BSM), eliminate counterparty risk via the OCC, and agreement on Vol.
