4) A financial institution has just bought 9-month European call options on the Chinese yuan. Suppose...
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4) A financial institution has just bought 9-month European call options on the Chinese yuan. Suppose that the spot exchange rate is 16 cents per yuan, the exercise price is 17 cents per yuan, the risk-free interest rate in the United States is 3% per annum, the risk-free interest rate in China is 5% per annum, and the volatility of the yen is 11% per annum. Calculate vega of the financial institution's position. Then, check the accuracy of your vega estimate by valuing the option at a volatility of 11% and 11.1% sequentially. 4) A financial institution has just bought 9-month European call options on the Chinese yuan. Suppose that the spot exchange rate is 16 cents per yuan, the exercise price is 17 cents per yuan, the risk-free interest rate in the United States is 3% per annum, the risk-free interest rate in China is 5% per annum, and the volatility of the yen is 11% per annum. Calculate vega of the financial institution's position. Then, check the accuracy of your vega estimate by valuing the option at a volatility of 11% and 11.1% sequentially.
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