Practise Questions for the Exam (A Mock Exam) 1) Your newborn daughter has received a total of £2,500 in cash from various friends and relatives. If you deposit this money for her in an investment that returns an average return of 12% a year, what is the Future Value of her investment on her 21st birthday, to the nearest pound? a) £204,247 b) £32,104 c) £180,121 d) £24,116 e) £27,010 2) Utopia Enterprises is considering investing in a project that is expected to produce £15,000 in cash flows each year for five years. If Freedom Enterprises' cost of capital is 12%, what is the maximum the firm should be willing to invest in this project? Assume the first cash flow will occur one year after the investment is made, and round your answer to the nearest pound. a) b) c) d) e) £54,072 £60,560 £45,560 £61,671 none of the above 3) Assume the prevailing interest rate is 12% per annum. A 4-year lease agreement requires you to pay $1,000 up front, followed by payments of $800, $600, and $500 at the end of each of the following three years, respectively. What would the payment on a 4-year lease with a constant annual payment (the rental equivalent) have to offer for you to be indifferent between the two lease options? Assume that the first payment on the constant annual payment lease will be made at the end of the first year, and round your answer to the nearest dollar. a) $725 b) $228 c) $1,061 d) $839 e) none of the above 4) A firm is considering the purchase of one of two machines to replace an existing one. Machine A will cost GBP £18,000 and has a four-year life. Annual net cash flows are expected to be GBP £7,200, beginning one year after the machine is purchased. Machine B will cost GBP £26,000 and has a six-year life. Annual net cash flows are expected to be GBP £7,500, beginning one year after the machine is purchased. Assume the firm's cost of capital is a constant 15% forever, and there is no value to flexibility as these machines will continue to be manufactured. Which of the following statements is incorrect? a) The NPV of Machine A is greater than the NPV of Machine B b) Machine B has a lower equivalent annual cash flow (or equivalent rental value) than Machine A c) Machine B has an equivalent annual cash flow (or equivalent rental value) greater than GBP £700 d) Machine A has an equivalent annual cash flow (or equivalent rental value) greater than GBP £700 e) Machine B has an equivalent annual cash flow (or equivalent rental value) that is less than GBP £2000 per year higher than Machine A (to the nearest pound). 5) A firm is projected to have a cash flow of £5,100 next year, after which the cash flow is expected to remain constant forever. What is the terminal value of this cash flow at the end of this year if the cost of capital is 10%? Round your answer to the nearest pound. a) £46,364 b) £4,636 c) £5,100 d) £51,000 e) none of the above 6) An investor is considering a short-term investment in a resort property on a Caribbean island. If the weather is reasonably stable over the next year, the value of the investment is expected to be $1.2 million; however, if this proves to be a heavy hurricane year, the value is expected to be $0.5 million. According to the experts, there is a 40% chance that this will be a year of many hurricanes. If the appropriate expected rate of return is 15%, what is the maximum amount the investor should invest? a) $739,000 b) $678,000 c) $800,000 d) $1,043,479 e) None of the above 7) Using the same information as in the previous equations, if the actual cost of the investment is $750,000, what is the Internal Rate of Return (IRR) of the investment to the nearest percent? a) 10% b) 15% c) 23% d) 31% e) None of the above 8) A firm with a P/E ratio of 25 wants to take over a firm that is half its size (in market capitalization) that has a P/E ratio of 40. What would be the P/E ratio of the merged firm? a) 27.3 b) 30.0 c) 32.5 d) 31.4 e) 28.6 9) A good manager should set the hurdle rate for a project a) b) c) d) e) Equal to the project's IRR. Equal to the project's cost of capital. Equal to project’s best case return. As high as possible. As low as possible. 10) A firm has a project cash flow of £1,000 today. This cash flow is expected to grow at a rate of 30% for the next five years and then taper off to a growth rate of 5% indefinitely. What is the terminal value of this project at the end of the fifth year if the cost of capital is 10%? Round your answer to the nearest pound. a) £74,259 b) £38,986 c) £70,000 d) £77,972 e) none of the above 11) Kensington Toys’ free cash flow during the coming year is expected to be GBP £50,000. It is then expected to grow at a rate of 10% for the following five years before tapering off to a constant growth rate of 6% forever. If the firm's cost of capital is 15%, what should its fair market value be? Round your answer to the nearest pound. a) b) c) d) e) £500,000 £627,954 £644,130 £740,749 None of the above The following information is provided for the Delta Corporation (amounts are in millions): Sales Depreciation expense Interest expense Net income Accounts receivable Inventory Accounts payable Gross plant, property, and Equipment Current 2010 £13.6 £0.4 £0.7 £1.6 £0.6 £2.7 £0.4 £8.5 2011 £15.0 £0.5 £0.8 £1.8 £0.7 £3.0 £0.4 £10.0 Projections 2012 £16.5 £0.6 £0.9 £2.0 £0.7 £3.3 £0.5 £11.8 2013 £18.1 £0.6 £0.9 £2.2 £0.8 £3.2 £0.5 £12.0 Assume corporate taxes are 20% , deferred taxes and any other non-cash asset accounts are negligible. 12) Refer to the table above. What is the Net Operating Working Capital of Delta in 2012? a) £0.2 million b) £4.0 million c) £1.5 million d) £3.3 million e) £3.5 million 13) Refer to the table above. What is the unlevered free cash flow in 2012? a) £1.50 million b) £3.12 million c) £1.72 million d) £0.12 million e) £1.32 million 14) Refer to the table above. Cash flows are expected to grow indefinitely at 6% after 2013. The firm's cost of capital is 10%. What is the terminal value of the firm at the end of 2013? Round your answer to the nearest hundred thousand pounds. a) £37.1 million b) £88.0 million c) £35.0 million d) £87.5 million e) £92.8 million The income statements for Infonext Corporation for 2012 and 2013 are provided below: Income Statement for the years ending December 31, Sales less Cost of goods sold Gross profit less Other operating expenses Selling costs Depreciation Other expenses Total other operating expenses Earnings before interest and taxes less Interest expense Earnings before taxes less Taxes (@ 40%) Net income (amounts in thousands) 2013 2012 £22,000 £20,000 14,170 13,000 £ 7,830 £ 7,000 1,200 800 700 £ 2,700 £ 5,130 1,200 £ 3,930 1,572 £ 2,358 1,000 600 500 £ 2,100 £ 4,900 1,000 £ 3,900 1,560 £ 2,340 Additional information from the balance sheets is as follows: Gross plant, property, and equipment less accumulated depreciation Net plant, property, and equipment £17,300 10,600 £ 6,700 £16,200 9,800 £ 6,400 15) Refer to the information above. Assume sales will grow at the same rate as they did last year. Further assume all costs grow at the same rate as sales except depreciation which is expected to increase to £850 and interest expense to £1,370. Also assume the tax rate will remain a flat 40% in 2014. Gross plant, property, and equipment is expected to increase by 6.8% and will be the only capital expenditure. Infonext's additional investment in net working capital is expected to be 2% of the change in sales. What is Infotext’s unlevered free cash flow expected to be in 2014 to the nearest thousand? a) £2,067 b) £5,021 c) £3,033 d) £2,183 e) £3,077 16) Using the same information above for Infotext. Further assume the cost of capital is 14%, and Infonext's 2014 cash flows are expected to remain at that level forever. Calculate Infonext's terminal value at the end of 2014. Round your answer to the nearest thousand pounds. a) £15,000 b) £35,400 c) £21,667 d) £15,593 e) £21,979 17) To determine the appropriate cost of capital to use when calculating the value of a firm, you should discount the project cash flows a) at the equity premium. b) at the weighted average cost of capital of the firm. c) at the firm's cost of debt. d) at the firm's cost of equity. The balance sheet and income statement for Isnet Corporation are as follows: Balance Sheet as of December 31, 2007 ASSETS Cash and marketable securities$100,000 Accounts receivable 700,000 Inventory 950,000 Total current assets $1,750,000 Net plant, property, and equipment Total assets $2,500,000 $4,250,000 LIABILITIES AND EQUITY Accounts payable $ 200,000 Taxes payable 85,000 Short-term borrowings 400,000 Total current liabilities $ 685,000 Long-term debt Total liabilities Common stock at par Additional paid-in capital Retained earnings TOTAL LIABILITIES AND EQUITY $ 1,300,000 $ 1,985,000 $ 800,000 $ 950,000 $ 515,000 $ 4,250,000 Income Statement for the year ending December 31, 2007 Sales Cost of goods sold Gross profit Selling, general, and administrative expenses Operating profit Interest expense Earnings before tax Taxes Net income $6,500,000 3,800,000 $2,700,000 1,200,000 $1,500,000 800,000 $ 700,000 280,000 $ 420,000 Isnet's stock was selling for $10 a share at the end of 2007,and there were 1 million shares outstanding. Isnet paid dividends of $0.10 a share in 2007 18) Refer to the information above. Calculate Isnet's Current Ratio for 2007. a) 0.39 b) 0.52 c) 2.55 d) 2.31 e) 2.00 19) Refer to the information above. Calculate Isnet's gross margin, based on the information provided. a) 0.57 b) 0.23 c) 0.42 d) 0.06 e) 0.28 20) The Sinbad Corporation's 2007 annual report contained the following information: Accounts receivable Inventory Accounts payable 2011 £30,000 £50,000 £10,000 2010 £35,000 £40,000 £15,000 What net effect did these accounts have on the firm's 2011 free cash flow? a) b) c) d) e) increased cash flow by £10,000 decreased cash flow by £10,000 increased cash flow by £20,000 decreased cash flow by £20,000 none of the above Answers Question 1 2 3 4 5 6 7 8 9 10 Answer E A D C D C C E B D Question 11 12 13 14 15 16 17 18 19 20 Answer C E E B C C B C C B