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A company is expecting to receive a payment of $1000 at the end of 3 years. To hedge its currency exposure, it would like to

A company is expecting to receive a payment of $1000 at the end of 3 years. To hedge its currency exposure, it would like to purchase a put option allowing it to sell $1100 for 625. You are given:

  • The current exchange rate is $1.50 / 1.

  • A dollar-denominated European call option on pounds with strike price 1.45 sells for 0.1908.

  • A dollar-denominated European put option on pounds with strike price 1.45 sells for 0.0310.

  • A dollar-denominated European put option on pounds with strike price 1.60 sells for 0.0772.

  • The continuously compounded risk-free interest rate in pounds is 0.03.

    Calculate the price in pounds for the European put option which the company needs.

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