Equations for Finance

Altitude Group is expected to pay an annual dividend next year of $2.71 per share. Dividends are expected to increase by 4.3 percent annually. What is one share of this stock worth at a required rate of return of 13.9 percent?

$28.23

You estimate that you will owe $28,200 in student loans by the time you graduate. If you want to have this debt paid in full within 10 years, how much must you pay each month if the interest rate is 5.4 percent per year compounded monthly?

$304.65

In a booming economy, the stock of Pattee Productions is expected to return 17 percent. It is expected to return 9 percent in a normal economy and will decline 18 percent in a recessionary economy. The probability of a recession is 18 percent while the probability of a boom is 22 percent. What is the standard deviation of the returns on this stock?

11.65%

How much are you willing to pay for one share of Govender stock if the company just paid an annual dividend of $1.61, the dividends increase by 4.2 percent annually, and you require a return of 16.4 percent?

$13.75

Nguyen Corporation's common stock has a beta of 1.38. The risk-free rate is 1.78 percent and the expected return on the market is 14.6 percent. What is the cost of equity?

19.47%

Lichtenfeld has a bond issue outstanding that matures in 19 years. The bonds pay interest semiannually. The bonds have a face value of $1,000 and are currently priced at $995.28. The bonds carry a coupon rate of 3.5 percent. What is the aftertax cost of debt if the total tax rate is 22 percent?

2.76%

The 30-year, 5.5 percent bonds issued by Modern Kitchens pay interest semiannually, mature in four years, and have a $1,000 face value. Currently, the bonds sell for $1,020.66. What is the yield to maturity?

4.92%

Sai purchased a car today at a price of $8,500. He paid $600 down in cash and financed the balance for 48 months at 5.4 percent per year compounded monthly. What is the amount of each monthly loan payment?

$183.37

Murchison preferred stock pays an annual dividend of $4.45. What is the current price of this stock at a discount rate of 12.5 percent?

$35.60

Nasafi Lumber paid an annual dividend of $1.37 per share yesterday. Today, the company announced that future dividends will be increasing by 3 percent annually. If you require a return of 14.6 percent, how much are you willing to pay to purchase one share of this stock today?

$12.16

A relative will support your education by paying you $500 a month for 50 months. If you can earn 7 percent on your money, what is this gift worth to you today?

$21,629.93

Currently, a firm has an EPS of $2.08 and a benchmark PE of 12.7. Earnings are expected to grow by 3.8 percent annually. What is the estimated current stock price?

$26.42

Werden Drilling offers 5.5 percent coupon bonds with semiannual payments and a yield to maturity of 7 percent. The bonds mature in 10 years. What is the market price per bond if the face value is $1,000?

$893.41

Rao Investments has 6.5 percent coupon bonds outstanding with a current market price of $548. The yield to maturity is 13.2 percent and the face value is $1,000. Interest is paid annually. How many years is it until these bonds mature?

17.84 years

Castillo Corporation common stock is currently priced at $39.75 per share. The company just paid $4.35 per share as its annual dividend. The dividends have been increasing by 7.5 percent annually and are expected to continue doing the same. What is the cost of equity?

19.26%

Espy Hotels has bonds outstanding that mature in 9 years, pay interest semiannually, and have a coupon rate of 5.5 percent. These bonds have a face value of $1,000 and a current market price of $989.28. What is the company's aftertax cost of debt if its tax rate is 22 percent?

4.41%

Theresa's Flower Garden has 650 bonds outstanding that are selling for $1,007 each, 2,100 shares of preferred stock with a market price of $68 per share, and 42,000 shares of common stock valued at $44 per share. What weight should be assigned to the preferred stock when computing the weighted average cost of capital?

5.40%

You recently purchased a stock that is expected to earn 12 percent in a booming economy, 6.5 percent in a normal economy, and lose 1.5 percent in a recessionary economy. The probability of a booming economy is 14 percent while the probability of a normal economy is 65 percent. What is your expected rate of return on this stock?

5.59%

The stock of Yakir Development has a beta of 1.31. The risk-free rate of return is 1.5 percent and the market rate of return is 8 percent. What is the risk premium on this stock?

8.5%

You just obtained a loan of $17,200 with monthly payments for three years at 5.5 percent interest compounded monthly. What is the amount of each payment?

$519.37

Your portfolio is comprised of 22 percent of Stock X, 32 percent of Stock Y, and 46 percent of Stock Z. Stock X has a beta of 1.04, Stock Y has a beta of .96, and Stock Z has a beta of 1.24. What is the beta of your portfolio?

1.106

Walker Systems has an issue of preferred stock outstanding with a stated annual dividend of $2.60 that just sold for $23.85 per share. What is the bank's cost of preferred stock?

10.90%

Mullineaux Corporation has a target capital structure of 46 percent common stock, 5 percent preferred stock, and the balance in debt. Its cost of equity is 15.8 percent, the cost of preferred stock is 8.3 percent, and the aftertax cost of debt is 6.8 percent. What is the WACC given a tax rate of 23 percent?

11.02%

The rate of return on the common stock of Luna Lights is expected to be 11.5 percent in a boom economy and 4.5 percent in a normal economy. The probability of a boom is 23 percent. What is the standard deviation of the returns on this common stock?

2.95%

Montez Supply is expected to pay an annual dividend of $.95 per share next year. The market price of the stock is $43.50 and the growth rate is 4.5 percent. What is the cost of equity?

6.68%

Nazarian's has bonds on the market with 13 years to maturity, a YTM of 7.6 percent, and a current price of $901.98. The bonds make semiannual payments and have a face value of $1,000. What is the coupon rate?

6.40%

Ahmad Couture has bonds outstanding with a face value of $1,000, 11 years to maturity, and a coupon rate of 6 percent paid semiannually. What is the company's pretax cost of debt if the bonds currently sell for $1,067.12?

5.19%

Florida Groves has a $380,000 bond issue outstanding that is selling at 97.4 percent of face value. The firm also has 2,600 shares of preferred stock valued at $61 per share and 37,500 shares of common stock valued at $19 per share. What weight should be assigned to the common stock when computing the weighted average cost of capital?

57.40%

The Downtowner has 168,000 shares of common stock outstanding valued at $53 per share along with 13,000 bonds selling for $1,008 each. What weight should be given to the debt when the company computes its weighted average cost of capital?

59.54%