Multiple choice questions/problems:
Question 1: Increasing the Debt/Equity ratio as one moves towards the optimal capital structure results in:
a. An increase in the degree of operating leverage
b. An increase in the cost of equity and debt
c. A decrease in the weighted average cost of capital
d. Both a. and b.
e. Both b. and c.
Question 2: The weighted average cost of capital (WACC) for a company is influenced by:
a. The effective tax rate of the company
b. The financial risk of the company
c. The proportions of capital raised from debt vs. equity
d. Both a. and b.
e. a., b., and c.
Question 3: The cost of equity capital is determined by:
a. The expected dividend yield
b. The dividend growth rate
c. The premium for market risk
d. Both a. and b.
e. a., b., and c.
Question 4: The properly determined weighted average cost of capital (WACC):
a. Reflects the market values of debt, preferred stock, and common stock
b. Reflects the balance sheet values of debt, preferred stock, and common stock
c. Reflects the manner in which the company raises external capital.
d. Both a. and c.
e. Both b. and c.
Question 5: You invested $1000 in stocks 10 year ago. Your account is now worth $2,839.42. What rate of return did your stocks earn?
a. 15%
b. 14%
c. 13%
d. 12%
e. 11%
Question 6: You invest your money ($1000) in a bank account which has a nominal annual rate of 7.23% percent, compounding annually. How many years will it take for you to double your money?
a. 8.76 years
b. 9.15 years
c. 9.50 years
d. 9.93 years
e. 10.25 years
Question 7: For the following cash flows, determine the present value if the discount rate is 8 percent.
Year 1 – 1000, Year 2 – 2000, Year 3 – 3000 and Year 4 – 4000
a. $2,500
b. $4,804
c. $5,302
d. $7,963
e. $10,000
Question 8: BG Corporation has forecast the following for next year:
Sales: $1,000,000
Cost of Goods Sold: $600,000
Interest Expense: $100,000
Net Income: $180,000
Tax rate is 40% and cost of goods sold will remain 60% percent of sales, e.g., if the company’s sales were to increase to $1.5 million, cost of goods sold would increase to $900,000. The CEO is unhappy with the forecast. He wants a net income equal to $240,000. Assume that interest expense remains constant. To achieve this level of net income, what sales are needed?
a. $400,000
b. $500,000
c. $750,000
d. $1,000,000
e. $1,250,000
Question 9: Sanguillen Corp year-end 2006 retained earnings was $400,000. For 2007 the company’s earnings per share (EPS) were $3.00, dividends paid per share (DPS) $1.00, and it has 200,000 shares of stock outstanding. The year-end 2007 retained earnings on the company’s balance is:
a. $400,000
b. $500,000
c. $600,000
d. $700,000
e. $800,000
Question 10: Calculate the Modified Internal Rate of Return (MIRR) for the following yearly cash flows (in millions). The company’s cost of capital (reinvestment rate) is 12% and its borrowing rate is 8%.
Time 0 1 2 3
Cash Flow -23 +9 +14 -20
Question 11: Clever Co. has more good projects than this year’s capital budget will allow. The following are economically independent projects ($ amounts are in millions):
Project Capital Outlay Required NPV* Discount rate used**
A $22 $12 10%
B $8 $5 10%
C $10 $9 14%
D $6 $3 12%
E $15 $8 16%
* This is after subtracting the capital outlay required
** Appropriate rate or cost of capital given the risk of the project
a. The company has $35 million for the budget. Determine which project it should take
Take these projects________________________
b. The analyst used the risk-adjusted cost of capital. Rank the project from highest risk to lowest risk
Rank the projects ________________________
c. The analysis used the profitability per dollar of invested capital. Rank the project from highest to lowest profitability.
Rank the projects ________________________
Question 12: Cox Technology’s ordinary or straight preferred stock, 8%, par value $100, could be issued at a market price of $105.0 with floatation costs totaling $2.0 per share – so the company will receive net, $103 per share. The cost of capital from this preferred stock is:
Question 13: You believe in the CAPM. You estimate that the expected return on the market is14%, observe that the risk free rate of return is 6%, and estimate that the beta of your company is 0.8. Estimate the cost of equity from retained earnings.
Question 14: SINCO, Inc. expects to raise money in the future by obtaining 20% from debt, 50% from retained earnings, and 30% from new equity. The company estimated cost of retained earnings as 16%, and the cost of new equity at 18%. SINCO estimates its weighted pre-tax cost of debt is 12%. SINCO’s expected tax rate is 40%. The weighted average cost of capital (WACC) for ISNCO is:
Question 15: Analysts expect AGO’s earnings and dividends to grow at a constant compound rate of above 4% per year for a very long time – essentially, forever. The current dividend is $1.20; market price is $22.0 per share. If they sold the stock, after expenses and underpricing, AGO would only net, or receive, $20.0 per share.
a. Use the discounted cash flow (DDM) approach to estimate the cost of equity from retained earnings. The estimate for the cost of RE is:
b. Calculate the cost of equity from issuing stock after allowing for flotation costs and underpricing. The estimated for the cost of CE is:
Question 16: A bond with face or par of $1000 has 20 years to maturity, coupon of 8%, and the required rate of return, or yield to maturity for a bond of this risk and characteristics, is 12%. Interest payments are semiannual.
a. The market price of this bond is $__________________
b. Suppose market interest rates in the world increase but the world’s perceptions of the (default and other) risks of this bond do not change. Then the price of this bond will (circle one)
increase decrease not change
c. If market interest rates in the world do not change and the premium of bearing risk in the world does not change, a perception by investors of increased default risk for the company will cause the price of this bond to (circle one)
increase decrease not change
Question 17: If the discount rate is 12%, determine the present value (PV) of:
a. 8000 BGN per year received at the end of each of the next 6 years.
b. 5000 BGN at the end of each of the years 4 through 9 if the discount rate is 10% for the first three years:
Question 18: If the discount rate is 12%, determine the future value (FV):
a. At the end of year 20 if 10,000 BGN is invested at the end of each of the next 20 years.
b. At the end of year 20 if 10,000 BGN is invested at the beginning of each of the next 20 years, the first deposit made now.
Question 19: You do pro-forma financial statements to estimate future capital needs. On the pro forma balance sheet before getting new outside financing, you get the following:
Total Assets $423,000
Total Liabilities $223,000
Total equity $170,000
The amount of external funding or money needed is:
a. You do not need external funding. You have excess cash of $30,000
b. You need $30,000 from external funding.
c. You need $200,000 from some external source
d. None of the above
Question 20: Use 360 day year. For the year, DCA Co. had sales (all are on credit) of $1080, cost of goods sold of $702, materials purchases on trade credit of $210.6, and average levels of sales of (show all your work!):
Cash $21.0
Raw Materials Inventory $16.4
Work in Process $15.6 (based on COGS)
Finished Goods Inventory $46.8 (based on COGS)
Accounts Receivable $126.0
Note: A/P = $210.6 or 30% of COGS; DPO = Acc. Payable / (Purchases/360)
a. Calculate the “cash-to-cash” cycle.
b. Assume DCA currently pays for purchases 44 days after purchase. Determine the accounts payable you would expect:
c. If DCA decides that now and in the future it wants to pay for the purchases at day 30 (and not 44), determine the amount of additional capital it will need from some source to make this possible:
Question 21: All sales are on credit. EXCO, Inc. expects sales as shown below, with 40% of sales collected in the month of sales, 25% in the next month, and the balance in the second month following the sales. You are constructing a cash balance. For the month of April on that budget, determine the total collections (receivables) from sales from various months. Show all your work!
Jan Feb Mar Apr May
Sales $65 $88 $94 $70 $60
Question 22: Use 360 day year. BDA, Inc. has credit sales of $1,512,000 per year, an accounts receivable balance of $197,400, and variable costs to sales ratio of 0.64, and its opportunity cost on working capital is 12%. A credit management program claims it will reduce the Days Receivable Outstanding (DRO) to 32 days without changing sales. If successful,
a. Determine the amount of capital disinvested from accounts receivable.
b. Calculate the yearly pre-tax benefit of this freed up capital, ignoring any cost of the credit management program.
Question 23: Given: ROA = 6%; Equity Multiplier = 1.5; Profit margin = 2%; Asset Turnover = 3. Find the company’s ROE:
Question 24: AirCar makes cargo containers for aircraft. The costs for each container are as follows:
Material $1,208
Direct Labor $6,300
Consumable Supplies $312
Other Variable Costs $430
Allocated Overhead $920
Sales Commission $540
Each container sells for $14,900. Fixed operating costs for the period are $386,000. Note: Use total variable costs, including allocated overheads.
a. How many units does AirCar have to make and sell to reach operating break-even?
b. How many units does it have to make and sell to have a pre-tax operating income of $80,000?
Question 25: Use the graph below and draw in and label as requested. Assume out-of- tax world and a company with relatively low business risk such as Food Center, a large chain of grocery stores. How this will change in a world of taxes?
a. Label the X and Y axis.
b. Mark a risk free rate, Rf.
c. Mark a spot on the X axis to represent the optimal Debt/Equity ratio for this company.
d. Draw a curve for borrowing costs, starting at the no debt point and then moving towards and past the optimal D/E ratio.
e. Draw a curve to represent the cost of equity, starting at the no debt point and then moving towards and past the optimal D/E ratio.
f. Draw a curve to represent the Weighted Average Cost of Capital (WACC), starting from the no debt position and going past the optimal D/E ratio.
g. Draw a similar graph or lines if the company pays taxes.