Consider a portfolio, which consists of three different assets. Assets A fire sale price 50 market price 60 Asset B 45 70 Asset C 90 100 a) A financial institution holds 40% in asset A, 30% in asset B, and 30% in asset C. Calculate the liquidity index of this portfolio. b) Is it possible to hold a portfolio of these assets with only positive or zero weights on these assets, and receive a liquidity index of 0.95. Why or why not? c) A financial institution only holds assets A, B and C. It holds 20% in asset A, X% in asset B, and Y % in asset C. Illustrate the relationship between X and Y. d) For which values of X and Y is the liquidity index of the portfolio equal to 0.80.