In: Finance
Assume you manage a risky portfolio with an expected rate of return of 8% and a standard deviation of 18%. The T-bill rate is 3%. Suppose your client prefers to invest in your portfolio a proportion that maximizes the expected return of the overall portfolio subject to the constraint that the overall portfolio's standard deviation will note exceed 12%. What is the investment proportion in your fund? convert your answer to percentages and round to two decimal places
present standard deviation is 18%
target standrad deviation is 12%
cilent prefer to reduce risk by investing in risk free rate
weight of risky asset = target s.d/ present s.d
=12/18
=0.66.67
=66.67%
proportion of risk free return =1 - weight of risky asset
=1-0.67
=0.3333
=33.33%