Week 5 Practice Set 11-19

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Webster University *

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5200

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Finance

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Feb 20, 2024

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Week 5 – Practice Set Name Please type a numerical solution to the problems below: 1. Michela Corporation expects the following revenues, cash expenses, and depreciation charges in the future: Year 1 2 3 Revenues $89,000 $106,000 $145,000 Cost of goods sold $38,000 $49,000 $53,000 Selling expenses $11,000 $13,000 $14,000 Other cash operat- ing expenses $10,000 $11,000 $12,000 Depreciation $9,500 $13,500 $15,000 Michela is in the 22 percent tax bracket. Please compute the after-tax cash flows from op- erations for this investment for each of the years. Year 1 2 3 Revenues $89,000 $106,000 $145,000 Less: Cost of goods sold $38,000 $49,000 $53,000 Selling expenses $11,000 $13,000 $14,000 Other cash operat- ing expenses $10,000 $11,000 $12,000 Depreciation $9,500 $13,500 $15,000 Profit before tax $20,500 $19,500 $51,000 Taxes $4,510 $4,290 $11,220 Profit after tax $15,990 $15,210 $39,780 Add: depreciation $9,500 $13,500 $15,000 After tax cash flows $25,490 $28,710 $54,780 2. Albert Corporation estimates above the business needs 4 percent of revenues as a cash bal- ance, 11 percent of revenues as an inventory balance, 6 percent of revenues an accounts payable balance, and 5 percent of revenues as accrued expenses balance. All these bal- ances would be needed at the beginning of each year and are estimated from the year-end annual estimates of revenues and cash expenses given below: Year 1 2 3 Revenues $100,000 $150,000 $200,000 Please calculate the account balances for cash, inventory, accounts payable, and accrued expenses for years 0,1,2. Year 1 2 3 Revenues $100,000 $150,000 $200,000 Cash Balance $4,000 $6,000 $8,000
(4%) Inventory bal- ance (11%) $11,000 $16,500 $22,000 Accounts payable (6%) $6,000 $9,000 $12,000 Accrued expense balance (5%) $5,000 $7,500 $10,000 3. Mable Corporation in forecast the cash flows for a project estimates that it will need $50,000 in increased assets in year 1 and will receive $20,000 from increased liabilities in the same year. What is Mable’s net inflow or outflow for year 1. Net cash flow = cash inflow – cash outflow = $20,000-$50,000 = -$30,000 Net cash outflow for year 1 = $30,000 4. Myles Corporation is considering a new computer system (equipment) that can be pur- chased for $140,000. Delivery will cost $8,200 and setup will cost $12,000. What is the initial cost of this new computer? Initial cost of the new computer = purchase cost + delivery cost + setup cost = $140,000+$8,2000+$12,000 = $160,200 5. You are opening your own business and estimate the following expenses and revenues. Revenues will be $351,000 in year 1 and will grow at 7% for the next two years. Cost of goods sold will be $125,000 in year one and will go at 8% for the next two years. Operat- ing expense will be $35,000 in year one and will grow at 4% for the next two years. Taxes will be 26% per year for all years. Depreciation will be $32,000 in year 1, $44,000 in year 2, $35,000 in year 3. Please estimate the cash flows from operations for years 1,2,3. Particulars Year 1 Year 2 Year 3 Revenue (7% increase after year 1) $351,000 $375,570 $401,859.90 Cost of goods sold (8% increase after year 1) $125,000 $135,000 $145,800 Gross Profit = revenue – cost of goods sold $226,000 $240,570 $256,060 Operating expense (4% increase after year 1) $35,000 $36,400 $37,856 Depreciation $32,000 $44,000 $35,000 Operating Profit = gross profit – operating expense – deprecia- tion $159,000 $160,170 $183,204 Tax (26%) $41,340 $41,644.20 $47,633.04 Net income = operating profit – $117,660 $118,525.80 $135,570.96
tax Depreciation $32,000 $44,000 $35,000 Cash flow from operating activ- ities = net income + deprecia- tion $149,660 $162,525.80 $170,570.96 6. Dorothy Corporation has a project with the following cash flows: (remember the year zero number is negative) Year 0 Year 1 Year 2 Year 3 Cash flows -$1,000,000 $400,000 $600,000 $300,000 Using a 12% cost of capital, what is the net present value of this project? Should this project be accepted by Dorothy? year 0 = -$1,000,000 year 1 = $400,000/1.12^1 = 357,142.87 year 2 = $600,000/1.12^2 = 478,316.33 year 3 = $300,000/1.12^3 = 213,534.08 Net present value = -$1,000,000 + $357,142.87 + $478,316.33 + $213,534.07 = $48,993.26 Dorothy should accept this project. 7. Please rework the prior problem with a 6% cost of money. What is the new net present value, and should Dorothy accept the project? Present value year 0 = -$1,000,000 Present value year 1 = $400,000/1.06^1 = 377,358.49 Present value year 2 = $600,000/1.06^2 = 533,997.86 Present value year 3 = $300,000/1.06^3 = 251,885.78 Net present value = -$1,000,000 + $377,358.49 + $533,997.86 + $251,885.78 = $163,242.14 Dorothy should accept this project. 8. (this last one is worth 3 points) You are thinking of opening an internet coffee shop and estimate the following cash flows. The cost of the establishment is $1.200,000 for the building and $250,000 for equipment. The business will earn $842,000 per year in revenue and have cash expenses of $538,000 per year during its five years of operation. Deprecia- tion on the building and equipment will be $80,000 per year. At the end of five years you expect to sell the coffee shop for an after-tax cash disposition value of $600,000. No other cash flows will occur during the 5 years of operation. Using a 25 percent tax rate, and a 9 percent cost of money, what is the net present value of this business? Cash revenues $842,000 Cash expenses $538,000
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Depreciation $80,000 Taxable income = cash revenues – cash expenses – depreciation $224,000 Income tax at 25% $56,000 Net income = taxable income – income tax $168,000 Depreciation $80,000 Annual cash inflows = net income + de- preciation $248,000 Year Cash flows (A) PV factor at 9% (B) PV of cash flows (AxB) Cost of Building 0 -$1,200,000 1.0000 -$1,200,000 Cost of equipment 0 -$250,000 1.0000 -$250,000 Annual net cash in- flows 5 years $248,000 3.88965 $964,633.20 After tax salvage value 5 th year $600,000 0.64993 $389,958 Net present value -$95,408.80