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In standard Black-Scholes Model, compute the price of an asset-or-nothing put and asset-or-nothing call options. Write down the put-call parity relation between the asset-or-nothing call and put option prices.

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up vote 2 down vote accepted

the answer for calculating the prices can be found here - see chapter: Black–Scholes valuation ;)

The put-call parity in that case is pretty straight forward: $P=Se^{-qT}-C$. Using the results presented on the Wikipedia page in the aforementioned section this can be proved as follows




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