3. There is a market wide concern on the rising inflation and expected interest rate hike for the coming year. One of your clients has changed his degree of risk aversion A from a low level (A=1) to a high level (A=3), with utility score function Uμ,σ= μ-12Aσ^2. Your client optimal risky portfolio is assumed to be DJIA index portfolio. Based on your market view from question 1, if interest rate is to be adjusted from 0.1% per year to 0.5% per year, discuss your changed optimal weight allocation into the optimal risky portfolio for this client. Your discussion should be supported by relevant portfolio theories and clear calculation outcomes.