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Put Arbitrage

If the Put option on the $50 strike is trading at $10, and the put option on the $30 strike is trading $6, is there an arbitrage opportunity?

What if the stock is also available to trade? Does it matter what the stock price currently is?

Note by Calvin Lin
2 years, 4 months ago

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If you can pay 6$ to sell the share at 30$, it means that the price of the stock is probably lower than 30. If you can pay 10$ to sell the stock at 50$ while its currently trading for less than 30$, there is an opportunity: Buy the stock for less than 30$, buy the put with a strike price of $50 and sell the stock at 50$, the profit will be at least 50-30-10= 10$ ...right? Thomas Derambure · 1 year, 10 months ago

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@Thomas Derambure Not true. Since the $50 put is only worth $10, this means that the intrinsic value is at most $10, and hence the price of the stock is at least $40. If the price was lower then $40, then we could buy the $50 put for $10 and buy the stock, and then on expiration exercise the put and sell the stock for $50. Calvin Lin Staff · 1 year, 10 months ago

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