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A financial institution has just bought 7-month European call options on the Japanese yen. Suppose that the spot exchange rate is 0.80 cent per yen,

A financial institution has just bought 7-month European call options on the Japanese yen. Suppose that the spot exchange rate is 0.80 cent per yen, the exercise price is 0.81 cent per yen, the risk-free interest rate in the United States is 8% per annum, the risk-free interest rate in Japan is 5% per annum, and the volatility of the yen is 15% per annum. Calculate the delta, gamma, vega, theta and rho of the financial institutions position

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