Answer: 0.9804.

## Explanation To solve this problem, we need to understand the relationship between default probabilities and survival rates. Given: - Default probability between end-of-year 1 and end-of-year 2 = 0.9656% - This is the conditional default probability given survival through year 1 Let: - S₁ = survival rate during first year - PD₂|₁ = conditional default probability in year 2 given survival through year 1 = 0.9656% The relationship is: PD₂|₁ = (1 - S₂/S₁) Where S₂ is the survival rate through year 2. However, we need more information to solve this directly. The correct answer is A (0.9804), which suggests: - If survival rate during first year = 0.9804 - Then unconditional default probability in year 2 = (1 - 0.9804) × 0.009656 = 0.0196 × 0.009656 ≈ 0.000189 This makes sense as the conditional default probability in year 2 is typically smaller than the unconditional default probability.

Author: LeetQuiz Editorial Team