Problem $6-18$ Utility

Consider an investor with risk aversion of $A=4.$ The investor owns a portfolio with expected return of $8\mathrm{.}00\%$ and standard deviation of $0\mathrm{.}15\%.$

If an alternative portfolio had an expected return of $10\mathrm{.}00\%,$ what standard deviation would it need for the investor to be indifferent?

The standard deviation would need to be $\%$ Round your answer to the nearest two decimal places.

Should the investor switch to a portfolio with expected return of $10\%$ and standard deviation of $12\%?$