Measuring Actuarial Default Risk - Yats.com

Measuring Actuarial Default Risk. Following P. Jorion,. Financial Risk Management Chapter 19. Daniel HERLEMONT. Measuring Credit Risk. Default risk can be ...
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Financial Risk Management

Measuring Actuarial Default Risk

Following P. Jorion, Financial Risk Management Chapter 19

Daniel HERLEMONT

Measuring Credit Risk  Default risk can be measured using 2 approaches  Actuarial methods  measure default rates using historical data

 Market price methods  infer default risk from market prices of debt, equity prices, credit derivatives  derive risk neutral measure of default risk

 Actuarial measures of default are provided by external rating agencies  Similar techniques can be used to develop internal ratings  accounting variables models  relates default risk a a list of firm characteristic Daniel HERLEMONT

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Contents

 Credit event  Recovery rates  Application to the construction and rating of collateralized bond obligation  Evaluation of corporate and sovereign credit risk Daniel HERLEMONT

Definition of default

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Credit rating  "opinion on the future ability, legal obligation and willingnes of a bond issuer to make full and timely payments on principal and interest due to investors" (Moddy's)

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S&P Financial ratios

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Historical default rates (Moody's)

 Low probabilities can be very imprecise Daniel HERLEMONT

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Transition probabilities

Initial Rating AAA AA A BBB BB B CCC

AAA 90.81 0.70 0.09 0.02 0.03 0 0.22

AA 8.33 90.65 2.27 0.33 0.14 0.11 0

A 0.68 7.79 91.05 5.95 0.67 0.24 0.22

Rating at year-end (%) BBB BB 0.06 0.12 0.64 0.06 5.52 0.74 86.93 5.30 7.73 80.53 0.43 6.48 1.30 2.38

B 0 0.14 0.26 1.17 8.84 83.46 11.24

CCC 0 0.02 0.01 1.12 1.00 4.07 64.86

Default 0 0 0.06 0.18 1.06 5.20 19.79

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