Returns and Averages
Portfolios
Betas
Present Value
Future Value
100

Six months ago, you purchased 1,400 shares of ABC stock for $45.40 a share. You have received dividend payments equal to $0.80 a share. Today, you sold all your shares for $50.25 a share.

What is your dollar return on this investment?

$5.65

100

If you own 200 shares of Alaska Air at $25.31, 400 shares of Best Buy at $13.51, and 450 shares of Ford Motor at $57.12, what is the portfolio weight of Alaska Air?

13.98%

100

The risk-free rate of return is 4% and the market risk premium is 8%. What is the expected rate of return on a stock with a beta of 1.28?

14.24%

100

What annual rate of return is earned on a $2,000 investment when it grows to $4,300 in seven years?

11.56%

100

Suppose you deposit $1,000 in an account paying 10% annual interest. How much money will be in your account in 5 years?

$1,610.51

200

Six months ago, you purchased 1,400 shares of ABC stock for $45.40 a share. You have received dividend payments equal to $0.80 a share. Today, you sold all your shares for $50.25 a share.

What is your percentage return on this investment?

12.44%

200

If you own 200 shares of Alaska Air at $25.31, 400 shares of Best Buy at $13.51, and 450 shares of Ford Motor at $57.12, what is the portfolio weight of Ford Motors?

71.09%

200

Assume that the risk-free rate is 5 percent, and that the market risk premium is 7 percent. If a stock has a required rate of return of 13.75 percent, what is its beta?

1.25

200

According to the rule of 72, if my investment is earning 12% annually, it will take years for me to double my money.

6 years

200

If we deposit $6,000 today in an account paying 9%, how long does it take to grow to $12,000?

8.04 years

300

What is the arithmetic average for a stock with annual returns of 21%, 8%, -32%, 41%, and 5%?

8.60%

300

Given the data in Item 1, what is your portfolio return?

2.54%

300

A stock has an expected return of 12.25 percent. The beta of the stock is 1.15 and the risk-free rate is 5 percent. What is the market risk premium?

6.30%

300

How much would an investor have to set aside today in order to have $30,000 ten years from now if the current rate is 10%?

$11,566.30

300

Assume the total cost of a college education will be $60,000 when your child enters college in 18 years. You have $15,000 to invest today. What rate of interest must you earn on your investment to cover the cost of your child’s education?

8.01%

400

What is the geometric average return for a stock with annual returns of 21%, 8%, -32%, 41%, and 5%?

5.64%

400

Given the information in Item 2, compute the expected return for each stock.

Stock A: 7.00%
Stock B: 6.60%

400

Given the information in Item 3, what is the weighted Beta for Stock B?

0.30

400

Approximately how many years are needed to double a $300 investment when interest rates are 12.64 percent per year?

5.70 years

400

How many years (and months) will it take $2 million to grow to $4 million with an annual interest rate of 7 percent?

10 years & 2.94 months

500

What is the standard deviation for a stock with annual returns of 21%, 8%, -32%, 41%, and 5%?

0.27

500

Given the information in Item 2, what is the expected return on a portfolio comprised of $3,000 in stock A and $5,000 in stock B?

6.75%

500

Given the information in Item 3, what is the beta for the portfolio?

1.04

500

Compute the present value of a $1000 payment made in nine years when the discount rate is 13 percent.

$332.88

500

Compute the value in 100 years of a $2,000 deposit earning 10 percent per year.

$27,561,224.68

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