Mini Case Consider a portfolio consisting of N=500 assets with equal credit ratings. Assume that for every asset i = {1,. N} the notional is 10,000 USD, the EAD is equal to 100%, PD; 2%, LGD;=30%, i € {1,..., N} and LGDs are deterministic. Defaults are assumed to be statistically independent. Derive the expected value and standard deviation of the portfolio loss. ...

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Mini Case
Consider a portfolio consisting of N-500 assets with equal credit ratings. Assume
that for every asset i E {1, ..., N} the notional is 10,000 USD, the EAD is equal to
100%, PD;=2%, LGD;=30%, i € {1,..., N} and LGDs are deterministic. Defaults
are assumed to be statistically independent. Derive the expected value and standard
deviation of the portfolio loss.
Hint:
The default indicator of asset i E {1,..., N} is Iį ~ B(1, PD;).
Transcribed Image Text:Mini Case Consider a portfolio consisting of N-500 assets with equal credit ratings. Assume that for every asset i E {1, ..., N} the notional is 10,000 USD, the EAD is equal to 100%, PD;=2%, LGD;=30%, i € {1,..., N} and LGDs are deterministic. Defaults are assumed to be statistically independent. Derive the expected value and standard deviation of the portfolio loss. Hint: The default indicator of asset i E {1,..., N} is Iį ~ B(1, PD;).
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