Stock Valuation
Annuities
Time Value of Money
Effective Rates and EAR
Uneven Cash Flows & Deferred Annuitiess
100

A company just paid a dividend of $2.00 per share. The dividend is expected to increase by 5% per year indefinitely. If investors require a 10% rate of return, what is the fair price of this stock today?

$42.00

100

Find the PV of a $500 annual payment for 5 years at 8%.

$1,996.36

100

You borrow $100,000, repay $955.65/month for 15 years. What is the EAR?

$1,191.02

100

Find the EAR for 8% APR, compounded quarterly.

8.24%

100

You invest $5,000 for 10 years and it grows to $10,000. If interest is compounded quarterly, what nominal annual rate did you earn?

$2,621.12

200

A company currently pays a $3.00 annual dividend, which is expected to grow by 2% per year indefinitely. If the stock currently sells for $25.25, what rate of return should investors expect to earn?

14.12%

200

Find the FV of a $200 annual payment for 10 years at 6%.

$2,636.16

200

How much would you need to invest today to have $5,000 in 8 years if you earn 7% annually?

$2,904.64

200

Find the EAR for 10% APR, monthly compounding.

10.47%

200

Find PV of $2,000 per year for 10 years starting in year 5, at 8%.

$9,864.22

300

Shares of a company sell for $21.00 per share and are expected to pay a dividend of $1.75 next year. Dividends are expected to grow by 3% per year indefinitely. What return should investors require on this stock?

11.33%

300

If you deposit $150 monthly for 5 years at 9% APR, what’s the future value?

$11,313.62

300

You invest $2,000 today, and it grows to $3,000 in 5 years. What annual rate of return did you earn?

8.45%

300

Your credit card has 21% APR. What’s the periodic rate?

1.75%

300

Find PV of an annuity paying $3,000 for 20 years, starting in year 10, at 7%.

$17,287.33

400

A company’s next dividend is expected to be $2.00 per share, and dividends are expected to increase by 4% per year indefinitely. If investors require a 9% return, what should the stock sell for today?

$40.00

400

What is the PV of this annuity due if the respective PV of the Ordinary Annuity is $2,000 with a rate of 7%?

$2,140.00

400

You want $10,000 in 6 years. If you can invest at 9%, how much do you need to deposit each year?

$1,329.20

400

A payday loan charges 25% every two weeks. What is the EAR?

32,987%

400

Find the present value of an annuity with the following payments: $1,000, $2,000, $3,000, $4,000, $5,000, r=4%.

$13,006.49

500

A company just paid a dividend of $1.60 per share. The dividend is expected to grow by 3% per year indefinitely. If the stock currently sells for $12.10, what rate of return are investors earning?

16.62%

500

You need to accumulate $100,000 in 15 years by depositing at the beginning of each month into an account earning 5% APR. What monthly payment is needed?

$372.57

500

You invest $5,000 for 10 years and it grows to $10,000. If interest is compounded quarterly, what nominal annual rate did you earn?

7.18% Nominal

500

You borrow $100,000, repay $955.65/month for 15 years. What is the EAR?

8.30%

500

An annuity pays $2,500 for 15 years beginning 5 years from now. r = 6%.

$19,232,53

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