Please answer 3 and 4.

Consider the decision problem of investing an amount of wealth W=1000000$ into a risky asset with return R={0.2withprobabilityp0.1withprobability1p and into a risk-less asset with risk-free interest rate r=5%. You are a risk averse investor with a CRRA utility function U(WT)=1WT11, where =0.5 and WT is the amount of wealth at the end of the investment. 3. What is the lower bound of the probability p for investing a positive share into the risky asset? Answer with and without using the utility function, and comment. What is this lower bound of probability for a risk neutral investor? 4. Find the lower bound of the probability p for starting to borrow money at the risk-less interest rate and invest an amount larger than W in the risky asset. Consider the decision problem of investing an amount of wealth W=1000000$ into a risky asset with return R={0.2withprobabilityp0.1withprobability1p and into a risk-less asset with risk-free interest rate r=5%. You are a risk averse investor with a CRRA utility function U(WT)=1WT11, where =0.5 and WT is the amount of wealth at the end of the investment. 3. What is the lower bound of the probability p for investing a positive share into the risky asset? Answer with and without using the utility function, and comment. What is this lower bound of probability for a risk neutral investor? 4. Find the lower bound of the probability p for starting to borrow money at the risk-less interest rate and invest an amount larger than W in the risky asset