[R-SIG-Finance] the payoff of an call option

Paul DeBruicker pdebruic at gmail.com
Tue May 12 20:57:56 CEST 2009

BearXu wrote:
> A more detail example.
> If there are two persons: A and B, A wants to buy a stock; B wants to buy an
> option of this stock and the strike price of it is 90$.Now they both have
> 100$. Suppose the stock price now is 100$.
> So A use his 100$ buy a stock, and B use a little money C <100$ buy an
> option and save other money into bank.
> One year later, the stock price is 110$, so the profit of A is [110-100]$
> and B took his money out from the bank 90$ to buy the stock and his profit
> from this trade is [110-(90+C)]$, but he still got another profit from the
> bank interests during the time because he saved the money in it. So his
> total profit is [110+r-(90+C)]$.
That actually looks like the payoff of a long call position and a long 
cash position.  There's nothing that says the investor has to put the 
cash they didn't use to buy the stock when they opened the call position 
into cash.  There are no margin requirements for buying call options. 
The investor could have taken out the option position C without having 
cash to buy the stock ever.  If you exercise and sell at expiration all 
the cash you ever need is the premium paid at initiation.  The 
settlement dates on the transactions can be the same so you wouldn't 
have to borrow the cash to exercise.  And really, in most cases you 
wouldn't exercise, you'd just sell it back.

Regardless, I'm not sure what any of this has to do with the 
intersection of R and Finance.


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