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A. The price of a non-dividend paying stock is $19 and the price of a three-month European call option on the stock with a strike

A. The price of a non-dividend paying stock is $19 and the price of a three-month European call option on the stock with a strike price of $20 is $1. The risk-free interest rate is 4% per annum. What is the price of a three-month European put option with a strike price of $20? Is there an arbitrage opportunity when the put option price is $3?

B. The price of a non-dividend paying stock is $19 and the price of a three-month European call option on the stock with a strike price of $20 is $2. The risk-free interest rate is 4% per annum. What is the price of a three-month European put option with a strike price of $20? Is there an arbitrage opportunity when the put option price is $1?

Can you please provide an explanation and formulas used? thank you

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