please solve all parts of the question and show all work. thank you!

4. You are given the following information about possible investments: Asset T-bills Tech Stocks Growth Stocks Crypto fund Mean Return 0.01 0.22 ?? ?? Standard Correlation Deviation with Market 0 0.0 0.30 0.9 0.20 0.5 0.40 -0.5 4.a If the market standard deviation is 20%, what are the CAPM betas of each of these assets? 4.b Assume all assets are priced correctly according to the CAPM. What are expected returns to the market, growth stocks and the crypto fund? 4.C In addition to the assets described above you are told that the beta of Con- trarian Inc. is -2 and the expected return on Contrarian Inc. equity shares is -20%. Does the market correctly price this firm? explain briefly. If your answer is no explain whether it is over or undervalued, how you would take advantage of this mispricing, and whether you identified a riskless arbitrage strategy 4.d What is the lowest standard deviation of any asset in this market, not only the ones mentioned in this table that has the same expected return as Tech Stocks