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Principles Of Fianance: Homework Chapter 9 Homework 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 | Exam 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | Final Exam 1 2 Kenny, Inc., is looking at setting up a new manufacturing plant in South Park. The company bought some land six years ago for $8.1 million in anticipation of using it as a warehouse and distribution site, but the company has since decided to rent facilities elsewhere. The land would net $10.9 million if it were sold today. The company now wants to build its new manufacturing plant on this land; the plant will cost $22.1 million to build, and the site requires $960,000 worth of grading before it is suitable for construction. What is the proper cash flow amount to use as the initial investment in fixed assets when evaluating this project? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Cash flow ![]() Explanation: The $8.1 million acquisition cost of the land six years ago is a sunk cost. The $10.9 million current aftertax value of the land is an opportunity cost if the land is used rather than sold off. The $22.1 million cash outlay and $960,000 grading expenses are the initial fixed asset investments needed to get the project going. Therefore, the proper Year 0 cash flow to use in evaluating this project is: Cash flow = $10,900,000 + 22,100,000 + 960,000 Cash flow = $33,960,000 H. Cochran, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,580,000. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,310,000 in annual sales, with costs of $1,300,000 If the tax rate is 30 percent, what is the OCF for this project? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) ![]() (Sales 2310000) – (Costs 1300000) – (Depreciation (2580000 / 3 = 860000) = (Taxable Income = 150000) – (Tax Expense 45000) = (Net Income 105000) Add Back 1 YR Depreciation = 105000 + 860000 = OCF = 960000 Explanation: Using the tax shield approach to calculating OCF (Remember the approach is irrelevant; the final answer will be the same no matter which of the four methods you use.), we get: OCF = (Sales – Costs)(1 – TC) + Depreciation(TC) OCF = ($2,310,000 – 1,300,000)(1 – .30) + .30($2,580,000 / 3) OCF = $965,000 Pappy’s Potato has come up with a new product, the Potato Pet (they are freeze-dried to last longer). Pappy’s paid $134,000 for a marketing survey to determine the viability of the product. It is felt that Potato Pet will generate sales of $589,000 per year. The fixed costs associated with this will be $193,000 per year, and variable costs will amount to 18 percent of sales. The equipment necessary for production of the Potato Pet will cost $648,000 and will be depreciated in a straight-line manner for the four years of the product life (as with all fads, it is felt the sales will end quickly). This is the only initial cost for the production. Pappy's has a tax rate of 35 percent and a required return of 15 percent. Calculate the payback period for this project. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Calculate the NPV for this project. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Calculate the IRR for this project. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) ![]() 1.Calculation of Time 0 cash flow for this project : Initial cash outlay at Time 0(Cost of equipment) = $ 648000 2.Calculation of operating cash flows: working note : Cost of equipment = $648000 Useful life = 4years Annual Depreciation = $162000 Since cash flows are same during all four years ,Calculation of one year cash flow is enough for all 4 years.
Cost of investment = $648000 Annual Net cash flow = $245187 Pay back period = Cost of investment / Annual net cash flow = 648000 / 245187 = 2.643 years 4) Calculation of NPV of the project : NPV = (- Initial cash outlay + Annual operating cash flow * (Cumulative PV factor)) = - 648000 + 245187*(PVIAF@15%,4years) = - 648000 + 245187 *2.8550 = - 648000 + 700000(approx) = $52000 (Net present value) 5) Calculation of IRR of the project : Let us assume Two discount rates 15% and 20%. At 15% discount rate we already got NPV of 52000 NPV at 20% discount rate = - 648000 + 245187 * (PVIAF@20%,4years) = - 648000 + 245187 * 2.5887 = - 648000 + 634724 = -13276 So that IRR should be exist between these two discount rates IRR = 15% + (700000 - 648000 / 700000 - 634724 )* 5% (5% = 20% - 15%) = 15% + 52000/65276 * 5% = 15% + 3.98% = 19% (Approx ,18.98%) Note : Since marketing survey cost was already incurred that cost should not be considered as initial cash outlay, It will be treated as operating cash flow only for that year in which it incurred. Explanation: First, we need to calculate the cash flows. The marketing study is a sunk cost and should be ignored. The net income each year will be:
So, the OCF is: OCF = EBIT + Depreciation – Taxes OCF = $127,980 + 162,000 – 44,793 OCF = $245,187 The only initial cash flow is the cost of the equipment, so the payback period is: Payback period = $648,000 / $245,187 Payback period = 2.64 years The NPV is: NPV = –$648,000 + $245,187(PVIFA15%,4) NPV = $52,003.58 And the IRR is: 0 = –$648,000 + $245,187(PVIFAIRR%,4) IRR = 18.92% CSM Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $502,000 is estimated to result in $201,000 in annual pretax cost savings. The press falls in the MACRS five-year class (MACRS Table), and it will have a salvage value at the end of the project of $63,500. The press also requires an initial investment in spare parts inventory of $22,700, along with an additional $4,700 in inventory for each succeeding year of the project. The shop’s tax rate is 35 percent and its discount rate is 12 percent. Calculate the NPV. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) ![]() INITIAL CASH FLOW IN YEAR 0 COST OF THE NEW MACHINE = $502000 ADD SPARE PARTS = $22700 TOTAL = $524700 INBETWEEN CASH FLOW CALCULATION OF DEPRICIATION YEAR 1 ($502000 * 0.2000) = $100400 YEAR 2 ($502000 * 0.3200) = $160640 YEAR 3 ($502000 * 0.1920) = $96384 YEAR 2 ($502000 * 0.1152) = $57830 THE BOOK VALUE OF THE POJECT AT END OF THE LIFE $502000 - ($100400 + $160640 + $96384 + $57830) = $86746 THE ASSET SOLD LOSS TO THE BOOK VALUE SO IT CREATES A TAX REFUND AFTER TAX SALVAGE VALUE = $63500 + ($86746 - $63500) 0.35 = $71636 CASH FLOW YEAR 1 = $201000(1 - 0.35) + 0.35($100400) - $4700 = $130650 + $35140 - $4700 = $161090 CASH FLOW YEAR 2 = $201000(1 - 0.35) + 0.35(160640) - $4700 = $130650 + $56224 - $4700 = $182174 CASH FLOW YEAR 3 = $201000(1 - 0.35) + 0.35($96384) - $4700 = $130650 + $33734 - $4700 = $159684 CASH FLOW YEAR 4 = $201000(1 - 0.35) + 0.35($57830) - $4700 + $41500 + $71636 = $130650 + $20241 - $4700 + $41500 + $71636 = $259327
Explanation: First, we will calculate the depreciation each year, which will be: D1 = $502,000(.2000) = $100,400 D2 = $502,000(.3200) = $160,640 D3 = $502,000(.1920) = $96,384 D4 = $502,000(.1152) = $57,830 The book value of the equipment at the end of the project is: BV4 = $502,000 – ($100,400 + 160,640 + 96,384 + 57,830) BV4 = $86,746 The asset is sold at a loss to book value, so this creates a tax refund. Aftertax salvage value = $63,500 + ($86,746 – 63,500)(.35) Aftertax salvage value = $71,636 Using the depreciation tax shield approach, the OCF for each year will be: OCF1 = $201,000(1 – .35) + .35($100,400) = $165,790 OCF2 = $201,000(1 – .35) + .35($160,640) = $186,874 OCF3 = $201,000(1 – .35) + .35($96,384) = $164,384 OCF4 = $201,000(1 – .35) + .35($57,830) = $150,891 Now, we have all the necessary information to calculate the project NPV. We need to be careful with the NWC in this project. Notice the project requires $22,700 of NWC at the beginning, and $4,700 more in NWC each successive year. We will subtract the $22,700 from the initial cash flow, and subtract $4,700 each year from the OCF to account for this spending. In Year 4, we will add back the total spent on NWC, which is $36,800. The $4,700 spent on NWC capital during Year 4 is irrelevant. Why? Well, during this year the project required an additional $4,700, but we would get the money back immediately. So, the net cash flow for additional NWC would be zero. With all this, the equation for the NPV of the project is: NPV = –$502,000 – 22,700 + ($165,790 – 4,700) / 1.12 + ($186,874 – 4,700) / 1.122 + ($164,384 – 4,700) / 1.123 + ($150,891 + 36,800 + 71,636) / 1.124 NPV = $42,825.30 Aria Acoustics, Inc., (AAI) projects unit sales for a new seven-octave voice emulation implant as follows:
Production of the implants will require $1,530,000 in net working capital to start and additional net working capital investments each year equal to 10 percent of the projected sales increase for the following year. Total fixed costs are $1,380,000 per year, variable production costs are $228 per unit, and the units are priced at $348 each. The equipment needed to begin production has an installed cost of $24,500,000. Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven-year MACRS (MACRS Table) property. In five years, this equipment can be sold for about 10 percent of its acquisition cost. AAI is in the 30 percent marginal tax bracket and has a required return on all its projects of 15 percent. What is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Net present value (NPV): $8,068,334.69 What is the IRR of the project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Internal rate of return ![]() The company should accept the project. Explanation: This is an in-depth capital budgeting problem. We will use the bottom up approach, so we will need to construct an income statement for each year. Beginning with the initial cash flow at Time 0, the project will require an investment in equipment. The project will also require an initial investment in NWC of $1,530,000. So, the cash flow required for the project today will be:
Now we can begin the remaining calculations. Sales figures are given for each year, along with the price per unit. The variable costs per unit are used to calculate total variable costs, and fixed costs are given at $1,380,000 per year. To calculate depreciation each year, we use the initial equipment cost of $24.5 million, times the appropriate MACRS depreciation percentage each year. The remainder of each income statement is calculated below. Notice at the bottom of the income statement we added back depreciation to get the OCF for each year. The section labeled "Net cash flows" will be discussed below:
After we calculate the OCF for each year, we need to account for any other cash flows. The other cash flows in this case are NWC cash flows and capital spending, which is the aftertax salvage of the equipment. The required NWC capital is 10 percent of the the change in sales in the next year. We will work through the NWC cash flow for Year 1. The total NWC in Year 1 will be 10 percent of the sales increase from Year 1 to Year 2, or: Change in NWC for Year 1 = .10($38,106,000 – 44,718,000) Change in NWC for Year 1 = −$661,200 Notice that the NWC cash flow is negative. Since the sales are increasing, we will have to spend more money to increase NWC. In Year 2, the NWC cash flow is positive since sales are declining. And, in Year 5, the NWC cash flow is the recovery of all NWC the company still has in the project. To calculate the aftertax salvage value, we first need the book value of the equipment. The book value at the end of the five years will be the purchase price, minus the total depreciation. So, the ending book value is: Ending book value = $24,500,000 – ($3,501,050 + 6,000,050 + 4,285,050 + 3,060,050 + 2,187,850) Ending book value = $5,465,950 The market value of the used equipment is 10 percent of the purchase price, or $2.45 million, so the aftertax salvage value will be: Aftertax salvage value = $2,450,000 + ($5,465,950 – 2,450,000)(.30) Aftertax salvage value = $3,354,785 The aftertax salvage value is included in the total cash flows as capital spending. Now we have all of the cash flows for the project. The NPV of the project is: NPV = –$26,030,000 + $8,621,115 / 1.15 + $12,045,615 / 1.152 + $10,697,115 / 1.153 + $8,797,215 / 1.154 + $10,921,940 / 1.155 NPV = $8,068,334.69 And the IRR is: NPV = 0 = –$26,030,000 + $8,621,115 / (1 + IRR) + $12,045,615 / (1 + IRR)2 + $10,697,115 / (1 + IRR)3 + $8,797,215 / (1 + IRR)4 + $10,921,940 / (1 + IRR)5 IRR = 27.26% The company should accept the project. A project has sales of $462,000, costs of $274,000, depreciation of $26,000, interest expense of $3,400, and a tax rate of 35 percent. What is the value of the depreciation tax shield? a. $9,564 b. $10,800 c. $9,100 d. $11,350 e. $10,650 26,000 × 0.35 = 9,100 Rocky Top, Inc. purchased some welding equipment six years ago at a cost of $579,000. Today, the company is selling this equipment for $110,000. The tax rate is 35 percent. What is the aftertax cash flow from this sale? The MACRS allowance percentages are as follows, commencing with year 1: 14.29, 24.49, 17.49, 12.49, 8.93, 8.92, 8.93, and 4.46 percent. a. $96,152 b. $110,000 c. $81,380 d. $98,635 e. $101,540 110,000 - {[110,000 - 579,000 × (0.0893 + 0.0446)] × 0.35} = 98,635 What is the net effect on a firm's working capital if a new project requires: $34,867 increase in inventory, $42,427 increase in accounts receivable, $35,000.00 increase in machinery, and a $42,993 increase in accounts payable? 34,301 34867 + 42427 - 42993 What is the amount of the operating cash flow for a firm with $303,534 profit before tax, $100,000 depreciation expense, and a 35% marginal tax rate? 297,297.1 (303,534) (.65) = 197,297.1 + 100,000 = 297,297.1 A company just paid $10 million for a feasibility study. If the company goes ahead with the project, it must immediately spend another $75,902,842 now, and then spend $20 million in one year. In two years it will receive $80 million, and in three years it will receive $90 million. If the cost of capital for the project is 11 percent, what is the project's NPV? 36,816,159 -75,902,842 - 20,000,000 / (1 + 0.11)1 + 80,000,000 / (1 + 0.11)2 + 90,000,000 / (1 + 0.11)3 = 36,816,158.95 A new restaurant is ready to open for business. It is estimated that the food cost (variable cost) will be 40% of sales, while fixed cost will be $429,056. The first year's sales estimates are $1,250,000. Calculate the firm's degree of operating leverage (DOL).` 2.34 1,250,000 × .4 = 500,000 Fixed cost FC = $429,056 (1,250,000 - 500,000) / (1,250,000 - 500,000 - 429,056) 750,000 / 320,944 = 2.34 A new restaurant is ready to open for business. It is estimated that the food cost (variable cost) will be 66.3% of sales, while fixed cost will be $450,000. The first year's sales estimates are $905,373. Calculate the firm's operating breakeven level of sales. 1,335,311.57 1 - 0.663 = 0.337 450000 / 0.337 Maverick Technologies has sales of $3,000,000. The company's fixed operating costs total $455,689 and its variable costs equal 60% of sales. The company's interest expense is $500,000. What is the company's degree of total leverage (DTL)? 4.91 3,000,000(1 - .6 / [(3,000,000(1 - .6) – 455689 - 500,000] Maverick Technologies has sales of $3,000,000. The company's fixed operating costs total $500,000 and its variable costs equal 60% of sales, so the company's current operating income is $700,000. The company's interest expense is $583,829. What is the company's degree of financial leverage (DFL)? 6.03 700,000 / (700,000 - 583829) Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period? 3713 4520 + 1654 - 1961 – 500 Davis Supply maintains an average inventory of 2,000 dinosaur skulls for sale to filmmakers. The carrying cost per skull per year is estimated to be $150.00 and the fixed order cost is $53. What is the economic order quantity (EOQ)? (Round to the nearest whole number.) 38 (220,0053) / 150)1/2 A cost-cutting project will decrease costs by $37,400 a year. The annual depreciation on the project's fixed assets will be $4,700 and the tax rate is 34 percent. What is the amount of the change in the firm's operating cash flow resulting from this project? $21,582 $26,791 $23,610 $25,805 $26,282 [37,400 ×(1 -.34)] + [4,700 ×.34] = 26,282 A project requires $428,000 of equipment that is classified as seven-year property. What is the depreciation expense in Year 3 given the following MACRS depreciation allowances, starting with Year 1: 14.29, 24.49, 17.49, 12.49, 8.93, 8.92, 8.93, and 4.46 percent? $104,817.20 $74,857.20 $89,038.42 $56,038.15 $48,447.30 $74,857.20 428,000 × .1749 = 74,857.20 Custom Tailored Shirts is a specialty retailer offering T-shirts, sweatshirts, and caps. Its most recent annual sales consisted of $21,000 of T-shirts, $18,000 of sweatshirts, and $2,900 of caps. The company is adding polo shirts to the lineup and projects that this addition will result in sales next year of $18,000 of T-shirts, $16,000 of sweatshirts, $11,500 of Polo shirts, and $2,100 of caps. What sales amount should be used when evaluating the Polo shirt project? $6,100 $4,900 $5,700 $5,000 $11,500 18,000 + 16,000 + 11,500 + 2,100) - (21,000 + 18,000 + 2,900) = 5,700 A project has an annual operating cash flow of $52,620. Initially, this four-year project required $5,160 in net working capital, which is recoverable when the project ends. The firm also spent $39,700 on equipment to start the project. This equipment will have a book value of $17,014 at the end of Year 4. What is the cash flow for Year 4 of the project if the equipment can be sold for $15,900 and the tax rate is 35 percent? $73,290.10 $63,749.90 $73,680.00 $73,862.00 $74,069.90 52,620 + 5,160 + 15,900- [(15,900 -17,014) ×.35] = 74,069.90 Over the past five years, a stock returned 6.2 percent -10.4 percent -2.2 percent 16.9 percent 5.8 percent What is the variance of these returns? .010439 .076290 .008351 .091306 .012547 (.062 - .104 -.022 + .169 + .058) / 5 = .0326 σ2 = [(.062 -.0326)2 + (-.104-.0326)2 + (-.022 -.0326)2 + (.169 -.0326)2 + (.058 -.0326)2] / (5 - 1) =.010439 Over the past six years, a stock had annual returns of 18 percent, -6 percent, 2 percent, 27 percent, -11 percent, and 13 percent. What is the standard deviation of these returns? 15.08 percent 15.27 percent 13.59 percent 14.66 percent 14.38 percent Average return = (.18-.06 + .02 + .27 -.11 + .13)/6 = .071667 σ2 = [(.18-.071667)2 + (-.06-.071667)2 + (.02 -.071667)2 + (.27 -.071667)2 + (-.11 -.071667)2 + (.13-.071667)2]/ (6 - 1) = .021497 σ = .021497.5 x 100 = 14.66 percent Floral Shoppes has a new project in mind that will increase accounts receivable by $19,000, decrease accounts payable by $4,000, increase fixed assets by $27,000, and decrease inventory by $2,000. What is the amount the firm should use as the initial cash flow attributable to net working capital when it analyzes this project? a. -$21,000 b. -$25,000 c. -$12,000 d. -$52,000 e. -$17,000 19,000 - 4,000 + 2,000 = -21,000 Green Woods sells specialty equipment for mountain climbers. Its sales for last year included $387,000 of tents and $718,000 of climbing gear. For next year, management has decided to sell specialty sleeping bags also. As a result of this change, sales projections for next year are $411,000 of tents, $806,000 of climbing gear, and $128,000 of sleeping bags. How much of next year's sales are derived from the side effects of adding the new product to its sales offerings? a. $112,000 b. $0 c. $128,000 d. $240,000 e. $251,000 $112,000 (411,000 + 806,000) - (387,000 + 718,000) = 112,000 Rock Haven has a proposed project that will generate sales of 1,840 units annually at a selling price of $31 each. The fixed costs are $13,400 and the variable costs per unit are $7.47. The project requires $32,000 of fixed assets that will be depreciated on a straight-line basis to a zero-book value over the four-year life of the project. The salvage value of the fixed assets is $8,500 and the tax rate is 35 percent. What is the operating cash flow for Year 4? a. $16,970.16 b. $22,231.88 c. $16,347.78 d. $22,416.67 e. $17,258.4 {[1,840 × (31 -7.47] - 13,400} × {1 -.35} + {32,000/4 ×.35} = 22,231.88 British Metals is reviewing its current accounts to determine how a proposed project might affect the account balances. The firm estimates the project will initially require $81,000 in additional current assets and $57,000 in additional current liabilities. The firm also estimates the project will require an additional $8,000 a year in current assets in each of the first three of the four years of the project. How much net working capital will the firm recoup at the end of the project assuming that all net working capital can be recaptured? a. $81,000 b. $48,000 c. $24,000 d. $68,000 e. $105,000 81,000 -57,000 + (3 × 8,000) = 48,000 One year ago, Peyton purchased 7,200 shares of Broncos stock for $329,640. Today, he sold those shares for $58.92 a share. What is the total return on this investment if the dividend yield is 2.2 percent? a. 33.98 percent b. 30.89 percent c. 24.50 percent d. 20.10 percent e. 28.40 percent [(58.92-(329,640/ 7,200)]/(329,640 / 7,200) + .022 = .3089, or 30.89 percent Western Steer purchased some three-year MACRS property three years ago. What is the current book value of this equipment if the original cost was $94,250? The MACRS allowance percentages are as follows, commencing with Year 1: 33.33, 44.45, 14.81, and 7.41 percent. $20,842.35 $8,868.20 $0 $11,506.15 $6,983.93 94,250 × (1 - 0.3333 - 0.4445 - 0.1481) Homework 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 | Exam 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | Final Exam 1 2
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