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The naked put profit/loss profile is similar to the covered call (see above) profit/loss profile. The naked put generally requires less in brokerage fees and commissions than the covered call. The following return calculation assumes the sold put option is out-of-the-money and the price of the stock at expiration is greater than the put strike ...
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A call option is in the money when the strike price is below the spot price. A put option is in the money when the strike price is above the spot price. With an "in the money" call stock option, the current share price is greater than the strike price so exercising the option will give the owner of that option a profit.
Disregarding interest on dividends, the theoretical value of a jelly roll on European options is given by the formula: = + + where is the value of the jelly roll, is the strike price, is the value of any dividends, and are the times to expiry, and and are the effective interest rates to time and respectively.
For example, a bull spread constructed from calls (e.g., long a 50 call, short a 60 call) combined with a bear spread constructed from puts (e.g., long a 60 put, short a 50 put) has a constant payoff of the difference in exercise prices (e.g. 10) assuming that the underlying stock does not go ex-dividend before the expiration of the options.
Being relatively simple, the model is readily implementable in computer software (including a spreadsheet). Although computationally slower than the Black–Scholes formula, it is more accurate, particularly for longer-dated options on securities with dividend payments. For these reasons, various versions of the binomial model are widely used ...
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