You are managing the family office for a retired hedge fund manager (a family office is an investment fund which manages the money of a wealthy individual or family) After evaluating a potential investment into a long-only mutual fund XYZ, you have determined that optimally - ie. in a way that maximizes the resulting Sharpe ratio -adding this fund into the family office's portfolio will increase the family office's Sharpe ratio from 0.24 to 0.46. What must be the information ratio of XYZ relative to the returns of the family office?

Report your answer rounded to 3 decimals (e.g., 0.7876 = 0.788, 0.7874 = 0.787, 12.45% = 0.125, 2.43%=0.124)