We have three independent risks, each having the following probability mass functions: P(X₁=0)=1/4 P(X₁=1)=1/2 P(X₁=2)=1/4 P(X₂=0)=1/2 P(X₂=2)=1/2 P(X3=0)=1/4 P(X3=2)=1/2 P(X3-4)=1/4 Determine the Value at Risk (VaR) (90%) and the Tail Value at Risk (TVaR) (90%) of the distribution of the total claims of the portfolio of 3 risks.
We have three independent risks, each having the following probability mass functions: P(X₁=0)=1/4 P(X₁=1)=1/2 P(X₁=2)=1/4 P(X₂=0)=1/2 P(X₂=2)=1/2 P(X3=0)=1/4 P(X3=2)=1/2 P(X3-4)=1/4 Determine the Value at Risk (VaR) (90%) and the Tail Value at Risk (TVaR) (90%) of the distribution of the total claims of the portfolio of 3 risks.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![We have three independent risks, each having the following probability mass functions:
P(X₁=0)=1/4
P(X₁=1)=1/2
P(X₁=2)=1/4
P(X₂=0)=1/2 P(X3=0)=1/4
P(X₂=2)=1/2
P(X3=2)=1/2
P(X3=4)=1/4
Determine the Value at Risk (VaR) (90%) and the Tail Value at Risk (TVaR) (90%) of the distribution of the
total claims of the portfolio of 3 risks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87ecbd11-199f-45c6-8c50-2ee88f41c9ab%2F1aec7124-ae5e-4d99-a7b8-547356496850%2Fkc11mmq_processed.png&w=3840&q=75)
Transcribed Image Text:We have three independent risks, each having the following probability mass functions:
P(X₁=0)=1/4
P(X₁=1)=1/2
P(X₁=2)=1/4
P(X₂=0)=1/2 P(X3=0)=1/4
P(X₂=2)=1/2
P(X3=2)=1/2
P(X3=4)=1/4
Determine the Value at Risk (VaR) (90%) and the Tail Value at Risk (TVaR) (90%) of the distribution of the
total claims of the portfolio of 3 risks.
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