ACTSC445 Study Guide - Final Guide: Credit Risk, Actuarial Science, Threshold Model

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Department of statistics and actuarial science, university of waterloo. We"ll quickly discuss li"s model and present some numerical results indicating one of the drawbacks of this model, and conclude with a short discussion of how some of the basel ii regulations are related to these models. Hence we have at = et + bt, 0 t t . For the debt, we assume that the rm issues at time 0 a bond with face value l and maturity. At = a0e( 2/2)t+ wt where wt n (0, t) represents the value of a brownian motion at time t. this means we assume the return on the rm"s asset value is lognormally distributed. 2 model like this, we can compute quantities such as. P (default) = p (at l) = p (ln at ln l) = p (cid:18)n (0, 1) ln l ln a0 ( 2/2)t (cid:19) (1)

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