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. ...
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. ...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Question
![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;).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7122bf1d-9710-4e16-a85b-2ad8aed7d0d0%2F02200248-ad56-4034-a575-25e9026705e1%2F0mg6n9_processed.jpeg&w=3840&q=75)
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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