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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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A fund manager is analyzing the correlation between the 1-year default risk of a longevity bond from an insurance company and the stock market's performance. To aid this, the manager has created a probability matrix derived from initial research data showing the 1-year probabilities for different scenarios:

Longevity bondMarket returnsProbability
No default20% increase61%
Default20% increase1%
No default20% decrease35%
Default20% decrease3%

Using this probability matrix, calculate the probability that the longevity bond will default within a year, given that the market experiences a 20% decline in that year.

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