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XYZ stock is traded at $95. Currently, given a pair of call and put options with the same maturity of 3 months and the same

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XYZ stock is traded at $95. Currently, given a pair of call and put options with the same maturity of 3 months and the same strike price at $95. The call option is $0.85 more expensive than the put option. (Assume all the interest rates are continuously compounded.) a) What should be the 3-month risk-free interest rate implied in the options market? b) If the 3-month risk-free rate is 2.5% in money markets, could you find any arbitrage opportunities? (Assume market is frictionless and the interest rate is continuously compounded.)

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