[All Steps] Portfolio Choice Assume that r f .04 , E (R m) .12 , and m .25 where m denotes the tangency (or market) portfolio. Suppose that
Question: Portfolio Choice
Assume that r f .04 , E ( R m ) .12 , and m .25 where m denotes the tangency (or market) portfolio. Suppose that an investor's preferences are given by
p p
U E ( R ) 2where p denotes the investor's portfolio choice which combines proportion w of the market portfolio and proportion 1 w of the risk-free asset.
- Is this investor risk loving or risk averse? Please explain your reasoning.
- If the investor wants to maximize utility by allocating her wealth between the market portfolio and the risk-free asset, what proportion of wealth should she hold in the risk- free asset (1 w ) ? What is the risk and expected return of this utility-maximizing portfolio? Please explain your answers and illustrate graphically, being careful to label all axes.
Deliverable: Word Document 