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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The unconditional default probability between end-of-year 1 and end-of-year 2 is calculated as follows: Uncon.PD1−2=(1−e−2%×2)−(1−e−λ1×1)=e−λ1×1−e−2%×2=0.9656%Uncon. PD_{1-2} = (1 - e^{-2\% \times 2}) - (1 - e^{-\lambda_1 \times 1}) = e^{-\lambda_1 \times 1} - e^{-2\% \times 2} = 0.9656\%Uncon.PD1−2​=(1−e−2%×2)−(1−e−λ1​×1)=e−λ1​×1−e−2%×2=0.9656%. We can thus solve the survival rate of the borrower during the first year of the loan, which is e−λ1×1e^{-\lambda_1 \times 1}e−λ1​×1: e−λ1×1=e−2%×2+0.9656%=0.9704e^{-\lambda_1 \times 1} = e^{-2\% \times 2} + 0.9656\% = 0.9704e−λ1​×1=e−2%×2+0.9656%=0.9704_

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