Ms. Phoebe Beignet (32 years old, stable employment) plans her investment for retirement. Having observed the rapid growth of the real estate market in Quebec, she would like to invest some of her savings into a real estate fund. She is considering investing the rest of his savings into either a corporate bonds fund or an equity fund (due to her personal preferences she prefers to hold no more than two different risky assets in her portfolio). Key properties of the three funds in question, measured over the past 10-year window, are summarized in the two tables below. Risk-free interest rate is 1.1%. Fund characteristics Expected return Standard Deviation Equity 15% 19% Bonds 8% 12.3% Real Estate 6% 7% Correlation matrix Stocks Bonds Real estate Equity 1 Bonds 0.6 1 Real Estate 0.3 0.4 1 If she decides to add the Bonds fund, what should be the optimal weight of this fund in Ms. Beignet's risky portfolio? Please, write down the weight as fraction of one, using three decimal points (e.g. for one half write 0.500, NOT 50%)