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In a world without arbitrage, the price of stock AAPL is $50. A European put option written on AAPL with a strike of $50 is

In a world without arbitrage, the price of stock AAPL is $50. A European put option written on AAPL with a strike of $50 is priced at $5. Will the price of a European put written on AAPL with the same maturity and a strike of $25 be priced higher, equal to, or lower than $2.5? Clearly show the logic to support your argument when answering this question. No calculation is needed.

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