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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The recent performance of Prudent Fund, a fund with USD 50 million of assets under management, has been weak and the institutional sales group is recommending that it be merged with Aggressive Fund, a USD 200 million fund. The returns on Prudent Fund are normally distributed with a mean of 3% and a standard deviation of 7%, and the returns on Aggressive Fund are normally distributed with a mean of 7% and a standard deviation of 15%. Assuming the returns on the two funds are independent, what is the probability that the returns on the combined fund will exceed 26%?

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