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A portfolio manager is assessing whether the 1-year probability of default of a longevity bond issued by a life insurance company is uncorrelated with returns of the equity market. The portfolio manager creates the following probability matrix based on 1-year probabilities from the preliminary research:
| Market returns | 20% increase | 20% decrease |
|----------------|--------------|--------------|
| Longevity bond | No default | Default |
| | 61% | 1% |
| | 35% | 3% |
Given the information in the table, what is the probability that the longevity bond defaults in 1 year given that the market decreases by 20% over 1 year?
A
3.00%
B
4.00%
C
7.89%
D
10.53%