A portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed. What is the 1-year 5% Value-at-Risk of the portfolio (i.e., there is a 5% probability that the portfolio will suffer a loss greater than what dollar value for the year)?     a. $1.24 million   b. $3.86 million   c. $9.75 million   d. $19.50 million   e. None of the above

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
ChapterP5: Part 5: Short-term Asset And Liability Management
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A portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed.

What is the 1-year 5% Value-at-Risk of the portfolio (i.e., there is a 5% probability that the portfolio will suffer a loss greater than what dollar value for the year)?

 

  a.

$1.24 million

  b.

$3.86 million

  c.

$9.75 million

  d.

$19.50 million

  e.

None of the above

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