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A European put option with exercise price of $10.00 currently has a premium of $0.75. Another European put option on the same non-dividend paying stock,

A European put option with exercise price of $10.00 currently has a premium of $0.75. Another European put option on the same non-dividend paying stock, with the same expiry date but with an exercise price of $10.50 must have a premium greater than $1.25. TRUE OR FALSE? You must provide a short (one or two sentence) explanation for your answer.

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