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Why would you pay--if the share is selling for $25,
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why would I pay $30 for the right to buy at that $20?
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Obviously it's ridiculous;
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the stock itself is an option to buy the share at a $0 exercise price,
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so it has to be worse to have a positive exercise price.
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Now, I wanted to stress the put-call parity relation
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and this is another arbitrage thing.
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The put option price--
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arbitrage--the absence of arbitrage opportunities implies
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that the put option price minus the call option price
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equals the present value of the strike price--
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that's discounting it from this exercise date to the present--