Max profit of a covered call? --> premium on call sold + (X-S0) Max profit of a box spread? --> risk free rate provided no arbitrage opportunity. Buy box spread if you think options are underpriced and sell box spread if you think options are overpriced to make arbitrage profit.
ok so now think of a bull call spread: You buy a call with a low exercise price XL and sell a call with a high exercise price XH.
You should always ask for three questions while determining the formulas:
How much did you spend on the strategy? (Net Premium) (associate with maximum loss)
What did you expect from the strategy? (stock price ranges that won’t hurt you)
What should be the stock price that would help you recover your cost?
Let’s then decide what can be the maximum loss?
say none of the calls were in the money (which is usually the case here) and the stock price went to 0 so that nothing ended up being in the money. (most strategies have max loss = net premium)
You’ll lose all that went into your strategy. That is your net premium.(Cost of long option - cost of short option)
Now think of break even. You’d want to benefit only to the extent that whatever you spent must be recovered.
(what should be the stock price that would help recover the cost)
So the purchased option should finish in the money by an amount equal to cost of strategy.
XL + (net premium) or XL + (C0L - COh)
Now think of what did you expect from the strategy? Your intent was to gain from the long option and the short option was used to finance the long option but it will limit your upside by the high exercise price.
So the maximum you will gain is at the point where the second option will start being in the money. That point is the higher exercise price. So you start making money when you exceed the low exercise and reach the high exercise. Hence that band of money is XH-XL. Now this money making ability came at a cost = net premium,
so max profit = XH - XL - (net premium)
= XH - XL - (CoL - CoH) = XH - XL - CoL + CoH
I just hope i didn’t make any mistakes because didn’t review it before posting. I’d be embarassed if there’s a stupid mistake. But I guess this is correct. I hope this helps.
Hi, Can someone plz explain the break-even price for butterfly spread. There are two break-even prices? How to arrive at these prices especially the second one.
It consists of a bull spread (as described above) on lower pair of strikes and a bear spread on the higher pair of strikes. Although there are two pairs, there are only three strike prices (so two of the options share the same strike) and they are equally spaced apart.
Net initial (negative) cash flow = max loss
Difference between max loss and max profit = difference between adjacent strikes
Breakeven = lowest strike + max loss and highest strike - max loss
Keep in mind, the butterfly spread can be either long or short (short involves reversing all of the options). The long payoff will resemble a capital A (only the top of the A is in the money) and the short payoff will resemble the Van Halen V, with only the top portion of the V in the money.
I spent all this afternoon, and I finally got it what you meant by ‘learn the diagrams.’
I am so relieved, now that I do not have to remember all those BS max. profit, loss, and BE formulae. When you know the diagrams, all those calculations are a simple algebra. Thanks for the tip…
My brain hurts… going to bed, but feel much better and relieved.