A portfolio manager has positions that include a £100,000 investment in A Corp and a £75,000 investment is B Corp. The position in A Corp has standard deviation of gains and losses of 35% per annum whilst the position in B Corp has standard deviation of gains and losses of 22% per annum. Gains and losses for both A Corp and B Corp are normally distributed while the returns A Corp and B Corp have correlation -0.6 (minus 0.6). When necessary, assume 252 trading days in the calendar year. Based on the above and the table in the Appendix:  Calculate the 1-month 99% VaR and ES of the portfolio  Calculate the 1-month 99% marginal VaR of each position. Interpret your answer  Can the portfolio manager increase the position of A Corp to reduce their market risk exposure? Justify your answer

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A portfolio manager has positions that include a £100,000 investment in A Corp and a £75,000 investment is B Corp. The position in A Corp has standard deviation of gains and losses of 35% per annum whilst the position in B Corp has standard deviation of gains and losses of 22% per annum. Gains and losses for both A Corp and B Corp are normally distributed while the returns A Corp and B Corp have correlation -0.6 (minus 0.6). When necessary, assume 252 trading days in the calendar year. Based on the above and the table in the Appendix:

  1.  Calculate the 1-month 99% VaR and ES of the portfolio 
  2. Calculate the 1-month 99% marginal VaR of each position. Interpret your answer 
  3. Can the portfolio manager increase the position of A Corp to reduce their market risk exposure? Justify your answer 
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