daily volatility is 1%. Use the quadratic change in the portfolio value.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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9) The local bank that you are a risk manager has a portfolio of options on a traded asset.
The delta of the options is -30 and the gamma is -5.
i) Explain what these numbers mean.
i) The asset price is 20 and its daily volatility is 1%. Use the quadratic model to calculate
the first three moments of the change in the portfolio value.
i) Calculate a one-day 99% Value at Risk using the first two moments.
iv) From your answer to point ii above, what can you say about the third moment's impact
on value at risk calculation?
v) Calculate a one-day 99% Value at Risk using all three moments.
Transcribed Image Text:9) The local bank that you are a risk manager has a portfolio of options on a traded asset. The delta of the options is -30 and the gamma is -5. i) Explain what these numbers mean. i) The asset price is 20 and its daily volatility is 1%. Use the quadratic model to calculate the first three moments of the change in the portfolio value. i) Calculate a one-day 99% Value at Risk using the first two moments. iv) From your answer to point ii above, what can you say about the third moment's impact on value at risk calculation? v) Calculate a one-day 99% Value at Risk using all three moments.
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