4) A financial institution has just bought 10-month European call options on the Chinese yuan. Suppose that the spot exchange rate is 14 cents per yuan, the exercise price is 15 cents per yuan, the risk-free interest rate in the United States is 3.5% per annum, the risk-free interest rate in China is 5.5% per annum, and the volatility of the yen is 12% per annum. Calculate vega of the financial institution's position. Check the accuracy of your vega estimate by valuing the option at a volatility of 12% and 12.1% sequentially 4) A financial institution has just bought 10-month European call options on the Chinese yuan. Suppose that the spot exchange rate is 14 cents per yuan, the exercise price is 15 cents per yuan, the risk-free interest rate in the United States is 3.5% per annum, the risk-free interest rate in China is 5.5% per annum, and the volatility of the yen is 12% per annum. Calculate vega of the financial institution's position. Check the accuracy of your vega estimate by valuing the option at a volatility of 12% and 12.1% sequentially