Your uncle has $2,000 invested in a mutual fund with a beta of 1.2 and a standard deviation of 12%.His financial adviser suggested that he should move his money into an Index fund that tracks the Russell 2000, which has a beta of 1.9 and a standard deviation of 18%.How could your uncle invest his money in some combination of that Index fund and risk-free T-bills that would increase his expected return without increasing his standard deviation?Assume the risk-free rate is 3% and the expected return on the market is 11%.

66.7% invested in the Index fund and the remainder in T-bills

22.5% invested in the Index fund and the remainder in T-bills

44.4% invested in the Index fund and the remainder in T-bills

15% invested in the Index fund and the remainder in T-bills

33.3% invested in the Index fund and the remainder in T-bills