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Option Relations, Parity and Symmetry


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Barrier in-out parity »

The barrier ''in-out parity'' relation is quite simple: having both a 'in' and 'out' option ensures that is one option gets knocked-out the other will be knocked-in.  full text »  

Best-of-two, spread option parity »

The option on the best of two assets has a value which is the sum of one asset plus the value of an option on the spread between the assets.  full text »  

Best-of-two-and-cash / Rainbow option parity »

The value of a best-of-two-and-cash option equals the cash amount plus a rainbow-best-of-two call option with the strike set to the cash amount.  full text »  

Call-Put Parity, Binary asset-or-nothing option »

Call-Put parity relation for binary asset-or-nothing options. Owning both a binary call and put option will always result in owning the asset at expiration.  full text »  

Call-Put Parity, Binary cash-or-nothing option »

Call-Put parity relation for binary cash-or-nothing options. Owning both a binary call and put option will always result in a fixed payment B at expiration.  full text »  

Call-put parity, Rainbow best-of-two »

The value of a put option on the maximum of two assets equals the strike, minus the zero-call option on the maximum of two assets, plus the call on the maximum of two assets.  full text »  

Call-put parity, Rainbow worst-of-two »

The value of a put option on the minimum of two assets = the strike - the zero-call option on the minimum of two assets + the call on the minimum of two assets.  full text »  

Call-Put Parity, Vanilla Option »

Call-Put parity relation for European Vanilla options.  full text »  

Worst-of-two, spread option parity »

The option on the worst of two assets has a value which is the sum of one asset minus the value of an option on the spread between the assets.  full text »  

Worst-of-two-and-cash / Rainbow option parity »

The value of a worst-of-two-and-cash option equals the cash amount minus a rainbow-worst-of-two put option with the strike set to the cash amount.  full text »