You are indifferent $($derive the same utility$)$ between the following investments:

a$.$ An investment with a sure return of $100$$

b$.$ An investment with an expected outcome of $200$$ and standard deviation of $80$$

c$.$ An investment with an expected outcome of $800$$ and standard deviation of $160$$

What is your certainty equivalent? What is your risk premium between the certainty

equivalent and investment $c?$