Trusted by Students Everywhere
Why Choose Us?
0% AI Guarantee

Human-written only.

24/7 Support

Anytime, anywhere.

Plagiarism Free

100% Original.

Expert Tutors

Masters & PhDs.

100% Confidential

Your privacy matters.

On-Time Delivery

Never miss a deadline.

You plan to invest in Stock X, Stock Y, or some combination of the two

Finance Aug 08, 2020

You plan to invest in Stock X, Stock Y, or some combination of the two. The expected return for X is 10 percent and sX = 5 percent. The expected return for Y is 12 percent and sY = 6 percent. The correlation coefficient, rXY is 0.75.

Calculate rp and sp for 100 percent, 75 percent, 50 percent, 25 percent, and 0 percent in Stock X.

Expert Solution

Expected Return of a 2 stock portfolio is a weighted average of individual returns. It is calculated as (w1*r1)+(w2*r2)

Standard deviation of a 2 stock portfolio is calculated as sqrt((w1^2*sd1^2)+(w2^2*sd2^2)+(2*w1*w2*c*sd1*sd2)); where w is weight of the stock, sd is standard deviation of the stock and c is the correlation between the stocks.

100% in Stock X:

rp= (100%*10%)+(0%*12%)= 10%

sp= ((100%^2*5%^2)+(0%^2*6%^2)+(2*100%*0%*0.75*5%*6%)= 5%

75% in Stock X:

rp= (75%*10%)+(25%*12%)= 10.5%

sp= ((75%^2*5%^2)+(25%^2*6%^2)+(2*75%*25%*0.75*5%*6%)= 4.97%

50% in Stock X:

rp= (50%*10%)+(50%*12%)= 11%

sp= ((50%^2*5%^2)+(50%^2*6%^2)+(2*50%*50%*0.75*5%*6%)= 5.15%

25% in Stock X:

rp= (25%*10%)+(75%*12%)= 11.5%

sp= ((25%^2*5%^2)+(75%^2*6%^2)+(2*25%*75%*0.75*5%*6%)= 5.5%

0% in Stock X:

rp= (0%*10%)+(100%*12%)= 12%

sp= ((0%^2*5%^2)+(100%^2*6%^2)+(2*0%*100%*0.75*5%*6%)= 6%

Archived Solution
Unlocked Solution

You have full access to this solution. To save a copy with all formatting and attachments, use the button below.

Already a member? Sign In
Important Note: This solution is from our archive and has been purchased by others. Submitting it as-is may trigger plagiarism detection. Use it for reference only.

For ready-to-submit work, please order a fresh solution below.

Or get 100% fresh solution
Get Custom Quote
Secure Payment