(a)Brenda Box, an investor, holds the market portfolio, which has an expected return of 13% per annum and a standard deviation of 18%. Brenda also has access to the risk-free asset which has a rate of return of 5% per annum and a standard deviation of 0%. She may also borrow at the same risk-free rate. Brenda wishes to move to a portfolio which has a return of 15% per annum, which will maximize her utility.

(i)Using the above information, explain what Brenda could do to create portfolio with a 15% per annum rate of return.

(ii)If Brenda creates this new portfolio, what will be its standard deviation?