Before this homework, "Calculate the corresponding premium for a quadratic utility function", we got to solve this example:
Suppose the insurer has an exponential utility function with parameter $\alpha$. What is the minimum premium $P^-$ to be asked for a risk X if X $ \sim $ Exp(200) and $\alpha$= 0.001. Calculate $P^-$.
We solved this and we came up with the formula for the minimum premium $P^-= {1\over\alpha} \log M_x(\alpha)$. Upon simplification, we get $P^-=223.14$ Then after that, my teacher said to "calculate the corresponding premium for a quadratic utility function." Maybe I'm suppose to find that $P^-$ but this time, using the quadratic utility function. That's what I think the homework was.
Any help would be appreciated. Thanks for your time. I really want to learn this.