Question

In: Finance

1) You own a portfolio that has $2,100 invested in Stock A and $4,000 invested in...

1) You own a portfolio that has $2,100 invested in Stock A and $4,000 invested in Stock B. If the expected returns on these stocks are 9 percent and 18 percent, respectively, what is the expected return on the portfolio?

12.10%

15.20%

13.50%

15.65%

14.90%

2) You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 14 percent and Stock Y with an expected return of 7 percent.

1) if your goal is to create a portfolio with an expected return of 10.4 percent, how much money will you invest in Stock X?

$ 5,100

$ 4614

$ 4857

$ 14,857

$5051

b) If your goal is to create a portfolio with an expected return of 10.4 percent, how much money will you invest in Stock Y?

$5143

$5400

$4886

$5349

$4937

Solutions

Expert Solution

Ans 1) 14.90%

Stock INVESTMENT (i) Return (ii) Investment*Return (i)* (ii)
A                    2,100 9.00%                                               189.00
B                    4,000 18.00%                                               720.00
Total                    6,100                                               909.00
AVERAGE RETURN = (INVESTMENT * RETURN) / TOTAL INVESMENT * 100
909 / 6100 * 100
14.90%

Ans 2)

1) $4857

2) $5143

Total Investment = 10000
Investment In Y = 10000 - X
Return on X + Return on Y = Return on Portfolio
X * 14% + (10000 - X) * 7% = 10000 * 10.4%
7%*X + 700 = 1040
X = (1040 - 700) / 7%
X = 4857
Investment In Y = 10000 - X
Investment In Y = 10000 - 4857
Investment In Y = 5143

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