Review for Exam 1 Fin 320 Prof. Laura Liu Sample Exam 1 – Question 1 • What is the most common type of firm in the United States and the world? A. sole proprietorships B. partnerships C. limited partnerships D. corporations 2 Question 2 • A C corporation earns $7.40 per share before taxes. The corporate tax rate is 39%, the personal tax rate on dividends is 15%, and the personal tax rate on nondividend income is 36%. What is the total amount of taxes paid if the company pays a $5.00 dividend? A. $0.75 Corporate tax = $7.40 × 39% = $2.89 B. $2.89 Personal tax = $5.00 × 15% = $0.75 C. $3.64 Total = $2.89 + $0.75 = $3.64 D. $4.00 3 Question 3 The goal of the financial manager is to_____________. A. Maximize managers’ wealth B. Maximize shareholders’ wealth C. Maximize the revenue of the company D. Minimize all costs and expenses 4 Question 4 Which of the following is correct about book value of equity and market capitalization? A.Market capitalization partially depends on historical cost of assets. B.Market to book ratio is market capitalization divided by book value of equity. C.Market capitalization is always greater than book value of assets. D.Firms are classified as value firms if market to book ratio is high. 5 Question 5 • Assume that your parents want to have $90,000 saved for college by your 18th birthday and they started saving on your 1st birthday. They saved the same amount each year on your birthday and earned 8% per year on their investments. How much would they have to save each year to reach their goal? Annuity. Solve for PMT A. $2509.78. N = 18, I/Y = 8, FV = 90000 B. $1900.00. 8 90000 C. $5,000.00. INPUTS 18 D. $2403.19. N I/Y PV PMT FV OUTPUT 2403.19 6 Question 6 U.S. public companies are required to file their annual financial statements with the U.S. Securities and Exchange Commission on which form? A. 10-A B. 10-K C. 10-Q D. 10-SE 7 Question 7 Assets Current Assets Cash 2013 2012 63.6 58.5 Accounts receivable 55.5 39.6 45.9 6.0 171.0 42.9 3.0 144.0 Inventories Other current assets Total current assets Long-Term Assets Land Buildings Equipment Less accumulated depreciation Net property, plant, and equipment Goodwill Other long-term assets Total long-term assets Total Assets 66.6 62.1 Liabilities and Stockholders' Equity Current Liabilities Accounts payable Notes payable / short-term debt Current maturities of longterm debt Other current liabilities Total current liabilities Long-Term Liabilities Long-term debt 2013 2012 87.6 73.5 10.5 9.6 39.9 6.0 144.0 36.9 12.0 132.0 239.7 168.9 --239.7 --168.9 22.8 22.2 --- --- Total long-term liabilities Total liabilities 262.5 406.5 191.1 323.1 Luther Corporation 109.5 Consolidated 91.5 Capital lease obligations Balance Sheet 119.1 99.6 December 31, 2006Total andDebt 2005 (in $ millions) (56.1) (52.5) Deferred taxes 239.1 200.7 Other long-term liabilities 60.0 63.0 -42.0 362.1 242.7 Stockholders' Equity 126.6 63.6 386.7 Total liabilities and Stockholders' Equity 533.1 386.7 533.1 8 Question 7 • Refer to the balance sheet above. If in 2013 Luther has 10.2 million shares outstanding and these shares are trading at $16 per share, then Luther's market-tobook ratio would be closest to: A. B. C. D. 0.39 0.76 1.29 2.57 MTB = market cap / book value of equity = (10.2 million × 16) / 126.6 = 1.289 9 Question 8 Luther Corporation Consolidated Income Statement Year ended December 31 (in $ millions) 2013 2012 Total sales 610.1 578.3 Cost of sales (500.2) (481.9) Gross profit 109.9 96.4 Selling, general, and (39.0) administrative expenses (40.5) Research and development (24.6) (22.8) Depreciation and amortization (3.6) (3.3) Operating income 41.2 31.3 Other income ----Earnings before interest and taxes 31.3 (EBIT) 41.2 Interest income (expense) (25.1) (15.8) Pretax income 16.1 15.5 Taxes (5.5) (5.3) Net income 10.6 10.2 Price per share Shares outstanding (millions) Stock options outstanding (millions) Stockholders' Equity Total Liabilities and Stockholders' Equity $16 10.2 0.3 $15 8.0 0.2 126.6 63.6 533.1 386.7 Refer to the income statement above. Luther's net profit margin for the year ending December 31, 2012 is closest to: A. 1.8% B. 2.7% C. 5.4% D. 16.7% Net profit margin = Net income / Sales = 10.2 / 578.3 = 1.76% 10 Question 9 • Samantha enters a rent-to-own agreement for living room furniture. She will pay $60 per month for one year. Which of the following shows the timeline for her payments if the first payment is one month from now? A) Date (Months) 1 2 Cash Flows -$60 -$60 B) Date (Months) Cash Flows C) Date (Months) Cash Flows D) Date (Months) Cash Flows 3 -$60 4 -$60 5 -$60 6 -$60 7 -$60 8 -$60 9 -$60 10 -$60 11 -$60 12 -$60 0 1 2 3 4 5 6 7 8 9 10 11 12 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 0 0 1 2 3 4 5 6 7 8 9 10 11 12 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 -$60 0 1 2 3 4 5 6 7 8 9 10 11 12 -$60 -$120 -$180 -$240 -$300 -$360 -$480 -$540 -$600 -$660 -$720 -$780 -$840 11 Question 10 • What is the present value (PV) of $100,000 received five years from now, assuming the interest rate is 8% per year? C Solve PV of single CF PV = A. $60,000.00 (1 + r ) n B. $68,058.32 100000 C. $73,502.99 = = 68,058.32 5 D. $82,609.42 (1 + 0.08) INPUTS 5 N OUTPUT 8 I/Y 100000 PV PMT 68058.32 FV 12 Question 11 • What is the future value (FV) of $10,000 in eight years, assuming the interest rate is 10% per year? Solve FV of single CF A. $16,212.78 n FV = C × ( 1 + r ) B. $18,000.00 n C. $18,756.22 8 FV8 = 10000(1 + 0.1) = $21,435.89 D. $21,435.89 INPUTS 8 N OUTPUT 10 10000 I/Y PV PMT FV 21,435.89 13 Question 12 • Jeff has the opportunity to receive one payment either now or in the future. Which of the following opportunities is the best, given that the interest rate is 7% per year? Choose the CF with A. one that pays $1,000 now B. one that pays $1,200 in two yearsthe highest PV C. one that pays $1,500 in five years D. one that pays $1,800 in ten years A: PV=1000 C 1200 = = 1048.13 B. PV = n 2 (1 + r ) (1 + 0.07) 1500 C = = 1069.48 C. PV = n 5 (1 + r ) (1 + 0.07) 1800 C = = 915.03 D. PV = n 10 (1 + r ) (1 + 0.07) 14 Question 13 • On the day Harry was born, his parents put $1000 into an investment account that promises to pay a fixed interest rate of 4 percent per year. How much money will Harry have in this account when he turns 18? Solve FV of single CF A. $1,720 B. $2,026 18 FV18 = 1000(1 + 0.04) = $2026 C. $2,804 D. $4,806 INPUTS 18 N OUTPUT 4 1000 I/Y PV PMT FV 2026 15 Question 14 • If $10,000 is invested in a certain business at the start of the year, the investor will receive $3000 at the end of each of the next four years. What is the present value of this business opportunity if the interest rate is 7% per year? A. $148.53 Uneven CFs. Solve for PV B. $161.63 C. $178.88 D. $172.45 PV = −10000 + 3000 3000 3000 3000 + + + = 161.63 2 3 4 1.07 1.07 1.07 1.07 16 Question 15 • Ally wishes to leave a provision in her will that $2000 will be paid annually in perpetuity to a local charity. How much must she provide in her will for this perpetuity if the interest rate is 6%? A. $3201.21 Solve PV of perpetuity B. $21,200.00 C. $33,333.33 D. $42,000.00 PMT PV = r PV = 2,000 / 0.06 = $33,333.33 17 Question 16 • You are borrowing money to buy a car. If you can make payments of $3600 per year starting one year from now at an interest rate of 4%, how much will you be able to borrow for the car today if you finance the amount over four years? A. $6,358.54 Annuity. Solve for PV B. $13,067.62 N = 4, I/Y = 4, PMT = 3600 C. $15,587.88 D. $13,286.65 INPUTS 4 N OUTPUT 4 I/Y 3600 PV PMT FV 13067.62 18 Question 17 Suppose that a young couple has just had their first baby and they wish to insure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to: N 1 1+ g FV of growing annuity PV= C × A. $42,825 1 − r g 1 r + 18 1 + 0.05 B. $97,331 1 1 − = 28796.82 PV = 2000 × 0.07 − 0.05 1 + 0.07 C. $67,998 D. $103,063 FV = 28796.82(1 + 0.07 )18 = 97,331 19 Question 18 • Dan buys a property for $250,000. He is offered a 20-year loan by the bank, at an interest rate of 6% per year. What is the annual loan payment Dan must make? A. $21,796.14 Solve for PMT of annuity B. $24,864.98 C. $32,684.66 D. $64,486.34. INPUTS 20 N OUTPUT 6 250000 I/Y PV PMT FV 21796.14 20 Question 19 • A businessman wants to buy a truck. The dealer offers to sell the truck for either $120,000 now, or six yearly payments of $25,000. Which of the following is closest to the interest rate being offered by the dealer? Solve for I/Y of annuity A. 5% B. 7% Pay attention to the signs! C. 9% D. 11% INPUTS 6 N OUTPUT 120000 -25000 I/Y 6.77 PV PMT FV 21 Question 20 • Which of the following is NOT one of the financial statements that must be produced by a public company? A) the balance sheet B) the income statement C) the statement of cash flows D) the statement of activities 22 Question 21 • If $15,000 is invested at 10% per year, in approximately how many years will the investment double? A) 7.3 years Solve for N of a single CF B) 8.4 years Pay attention to the signs! C) 10.6 years D) 14.8 years. INPUTS N OUTPUT 7.3 10 -15000 I/Y PV PMT 30000 FV 23 Question 22 • Sara wants to have $500,000 in her savings account when she retires. How much must she put in the account now, if the account pays a fixed interest rate of 8%, to ensure that she has $500,000 in 20 years’ time? A) $107,274 Solve for PV of a single CF B) $144,616 C) $180,884 D) $231,480 INPUTS 20 8 N I/Y OUTPUT 500,000 PV PMT 107,274 FV 24 Question 23 • A lottery winner will receive $1 million at the end of each of the next ten years. What is the future value (FV) of her winnings at the time of her final payment, given that the interest rate is 8.5% per year? A) $13.84 million B) $14.84 million Solve for FV of annuity C) $18.95 million D) $19.95 million INPUTS 10 8.5 N I/Y OUTPUT 1 PV PMT FV 14.84 25 Question 24 • You are investing in a project today. For the first two years, the project generates no cash flows. Starting from year 3, the project will generate $1 million every year forever. What is the value of the project today if the annual interest rate is 4%? Solve PV of a delayed perpetuity A. $25 million B. $23.11 million Year 2’s value of the perpetuity is: C. $22.22 million c/r = 1/0.04 = 25 D. $24.03 million The PV of $25 million in 2 years is: 25/(1+0.04)2 =23.11 million 26 Question 25 • A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $1000. Each year after that, you will receive a payment on the anniversary of the last payment that is 8% larger than the last payment. This pattern of payments will go on forever. If the interest rate is 12% per year. What is today’s value of the bequest? A. $8333 Solve PV of a growing perpetuity B. $12,500 PV = C/(r-g) = 1000/(.12-.08) = 25,000 C. $25,000 D. $5,000 27 Good luck with your exam! 28