Part $1$ ; The these inputs for Problems $1$ through $7$: You manuge a riaky pertifolls with expected rabe of refurn of $18\%$ and standard deviation of $25\%.$ The T$-$hit rate la $8\%$ money market flad. What is the expected value and standard deviatioe of the mate of evtum ob his portoliethr

$2.$ Sappose that your riaky portfolio includes the following irvestanents in the given proportions:$-$

Stack A $29\%$

Stock B $32\%$

Stock C $43\%$

What are the imestront proportions of your clients ovenal portiolis, inclading the position is Thillstor

$3.$ What is the rewandso$-$volatility ratio $($$$)$ of your risky portfolio? Your clients?

$4.$ Draw the CAL of your portfolie of in expected rebrin$-$standaed deviation diagran.

What is the slope of the CAL'? Sbew the pooition of your client on your finds CAL$+$

$5.$ Seppose then yoer client decifer so imeot is your portfitio s propontive y of the tint investment hudget sa that the overall portfolio will have an expected rate of retarn of $15\%$

a$.$ What in the propartion $y$ z

b$.$ What ane your client's irvostrent proportions in your throe stocks and the Thill find?$-$

c$.$ What in the itandurd deviation of the rate of returs on your clicer's portiolio?

$6.$ Suppose that your clime prefins to irvost in your fund a proportion y that maximines the expected roturn on the complete portiolion sibject so the eomstrint that the complete pontiole's standerd Siviacioe will not exceed $18\%-$

a$.$ What in the investrnent proportion, $y$ v$\text{'}$

b$.$ What is the expected rate of rosum on the conplete portiolie?

$7.$ Your client's acgree of risk mersion is A $535-$

a$.$ What popertion, x of the notal investruent should be invested in yoer fandt$-$