$1.$ What are the different types of investors based on their ability to take risk. Define them in terms their $$A$$ values.

$2.$ What is an indifference curve $($IC$)?$ What is a Capital Allocation Line $($CAL$)?$ What are the inputs you need to construct an IC and a CAL.

$3.$ Briefly discuss how would you find out the optimal complete portfolio. Also discuss how would you find out what would be optimal use of you fund $($capital$)$ when you invest in one risky and one risk$-$free assets.

$4.$ What is an investment opportunity set $($IOS$)?$ Explain why CAL provides you with the IOS for one risky and risk$-$free assets.

$5.$ How would construct an IOS using two risky assets?