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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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Prudent Fund, currently managing USD 50 million in assets, has been underperforming. To address this issue, the institutional sales team has proposed merging Prudent Fund with Aggressive Fund, which has USD 200 million in assets. The returns for Prudent Fund are normally distributed with a mean of 3% and a standard deviation of 7%. Conversely, Aggressive Fund's returns are also normally distributed but with a mean of 7% and a standard deviation of 15%. Assuming that the returns from both funds are independent, calculate the probability that the returns on the newly merged fund will exceed 26%.

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