b) Suppose that your bank is considering investing in a one-year project. The investment will cost $10 million and has an 80% chance of generating $19 million income, a 10% chance of generating $13 million income, a 7% chance of generating $8 million income and a 3% chance of generating nothing. i) Illustrate the cumulative probability distribution for this project's gains and losses [Feel free to draw the distribution by hand and paste a picture of it]. ii) What is the one-year VaR for the project when the confidence level is 95%. What does it mean? iii) What is the Expected Shortfall (ES) when the confidence level is 95%? iv) What information does the Expected Shortfall measure provide which the VaR does not?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
b) Suppose that your bank is considering investing in a one-year project. The investment will
cost $10 million and has an 80% chance of generating $19 million income, a 10% chance
of generating $13 million income, a 7% chance of generating $8 million income and a 3%
chance of generating nothing.
i) Illustrate the cumulative probability distribution for this project's gains and losses
[Feel free to draw the distribution by hand and paste a picture of it].
ii) What is the one-year VaR for the project when the confidence level is 95%. What
does it mean?
iii) What is the Expected Shortfall (ES) when the confidence level is 95%?
iv) What information does the Expected Shortfall measure provide which the VaR
does not?
Transcribed Image Text:b) Suppose that your bank is considering investing in a one-year project. The investment will cost $10 million and has an 80% chance of generating $19 million income, a 10% chance of generating $13 million income, a 7% chance of generating $8 million income and a 3% chance of generating nothing. i) Illustrate the cumulative probability distribution for this project's gains and losses [Feel free to draw the distribution by hand and paste a picture of it]. ii) What is the one-year VaR for the project when the confidence level is 95%. What does it mean? iii) What is the Expected Shortfall (ES) when the confidence level is 95%? iv) What information does the Expected Shortfall measure provide which the VaR does not?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman