FIN 3716: Chapter 9 Math

D. $17,208

A bakery invests $40,000 in a light delivery truck. This was depreciated using the five-year MACRS schedule shown above. If the company sold it immediately after the end of year 3 for $21,000, what would be the after-tax cash flow from the sale of this asset, given a tax rate of 40%?

A. $1.625 million

A brewer is launching a new product: brewed ginger ale with a low alcohol content. The brewer plans to spend $4 million promoting this product this year, which is expected to expand the sales of this product to $11 million this year and $8 million new year. They do expect there will be loss of sales of $1 million this year and net year in their other products as customers switch to drinking the new ginger ale. The gross profit margin the for the new ginger ale is 40%, the gross product margin of all of the brewer's other products is 30%, and the brewer's marginal corporate tax rate is 35%. What are incremental earnings arising from the promotion campaign this year?

A. $10.756 million

A company buys tracking software for its warehouse which, along with the computer system and ancillaries to run it, will cost $1.6 million. This purchase will be deducted over five years. It is expected that the software will reduce inventory by $10.7 million at the end of the first year after it is installed, though there will be an annual cost of $120,000 per year to run the system. If the company's marginal tax rate is 40%, how will the purchase of this item change the company's free cash flows in the first year?

B. $1.7 million

A consumer good company is developing a new brand of organic toothpaste. Above is the sensitivity analysis for this product. If the best-case assumptions for Net Working Capital are met, what will the net present value (NPV) of this project be?

D. $190,321

A fast-food company invests $2.2 million to buy machines for making Slurpees. These can be depreciated using the MACRS schedule shown above. If the cost of capital is 10%, what is the increase in the net present value (NPV) of the product gained by using MACRS depreciation over straight-line depreciation for three years?

C. $416,250

A firm is considering a new project that will generate cash revenue fo $1,300,000 and cash expenses of $700,000 per year for five years. The equipment necessary for the project will cost $300,000 and will be depreciated straight line over four years. What is the expected free cash flow in the second year of the project if the firm's marginal tax rate is 35%?

D. $135,000

A firm is considering changing their credit terms. It is estimated that this change would result in sales increasing by $1,600,000. This in turn would cause inventory to increase by $125,000, accounts receivable to increase by $100,000, and accounts payable to increase by $90,000. What is the firm's expected change in net working capital?

B. $31,200

A firm is considering investing in a new machine that will cots $400,000 and will be depreciated straight-line over five years. If the firm's marginal tax rate is 39%, what is the annual depreciation tax shield of purchasing the machine?

A. $0

A firm is considering the purchase of a new machine for $325,000. The firm is unsure if it should use the 3-Year MACRS schedule or straight-line depreciation over three years. What is the difference in the book value after three years if the firm uses MACRS instead of straight-line depreciation?

B. $7.1 million

A firm reports that in a certain year it had a net income of $5.0 million, depreciation expenses of $3.0 million, capital expenditures of $2.0 million, and Net Working Capital decreased by $1.1 million. What is the firm's free cash flow for that year?

D. $150,548

A garage is installing a new "bubble-wash" car wash. It will promote the car wash as a fun activity for the family, and it is expected that the novelty of this approach will boost sales in the medium term. If the cost of capital is 10%, what is the net present value (NPV) of this project?

D. $33,684

A maker of computer games expects to sell 475,000 games at a price of $48 per game. These units cost $10 to produce. Selling, general, and administrative expenses are $1.0 million and depreciation is $280,000. What is the EBIT break-even point for the number of games sold in this case?

C. $337,500

A small manufacturer that makes clothespins and other household products buys new injection molding equipment for a cost of $500,000. This will allow the manufacturer to make more clothespins in the same amount of time with an estimated increase in sales of 25%. If the manufacturer currently makes 75 tons of clothespins per year, which sell at $18,000 per ton, what will be the increase in revenue next year from the new equipment?

D. $5,449,600

A textile company invests $10 million in an open-end spinning machine. This was depreciated using the seven-year MACRS schedule shown above. If the company sold it immediately after the end of year 3 for $7 million, what would be the after-tax cash flow from the sale of this asset, given a tax rate of 40%?

C. $3.3 million

An oil company is buying a semi-submersible oil rig for $15 million. Additionally, it will cost $1.5 million to move the oil rig to the oilfield and to prepare it for operations. If it is depreciated over five years using straight-line depreciation, what are the yearly depreciation expenses in this case?

B. $210 million

Bubba Ho-Tep Company reported net income of $290 million for the most recent fiscal year. The firm had depreciation expenses of $100 million and capital expenditures of $150 million. Although it had no interest expense, the firm did have an increase in net working capital of $30 million. What is Bubba Ho-Tep's free cash flow?

B. $668,667

Cameron Industries is purchasing a new chemical vapor depositor in order to make silicon chips. It will cost $4 million to buy the machine and $12,000 to have it delivered and installed. Building a clean room in the plant for the machine will cost an additional $3 million. The machine is expected to have a working life of six years. If straight-line depreciation is used, what are the yearly depreciation expenses in this case?

C. $2,434,000

Cameron Industries is purchasing a new chemical vapor depositor in order to make silicon chips. It will cost $5,000,000 to buy the machine and $10,000 to have it delivered and installed. Building a clean room in the plant for the machine will cost an additional $3 million. The machine is expected to raise gross profits by $4,500,000 per year, starting at the end fo the first year, with associated costs of $1 million for each of those year.s The marginal tax rate is 40%. What are incremental free cash flows associated with the new machine in year 2?

A. -$6,020,000

Cameron Industries is purchasing a new chemical vapor depositor in order to make silicon chips. It will cost $6,000,000 to buy the machine and $20,000 to have it delivered and installed. Building a clean room in the plant for the machine will cost an additional $3 million. The machine is expected to raise gross profits by $4,000,000 per year, starting at the end of the first year, with associated costs of $1 million for each of those years. The machine is expected to have a working life of five years and will be depreciated over those five years. The marginal tax rate is 40%. What are the incremental free cash flows associated with the new machine in year 0?

A. $2.492 million

CathFoods will release a new range of candies which contain anti-oxidants. New equipment to manufacture the candy will cost $4 million, which will be depreciated by straight-line depreciation over six years. In addition, there will be $5 million spent on promoting the new candy line. It is expected that the range of candies will bring in revenues of $6 million per year for five years with production and support costs of $1.5 million per year. If CathFood's marginal tax rate is 35%, what are the incremental earnings in the second year of this project?

A. $1.800 million

CathFoods will release a new range of candies which contain antioxidants. New equipment to manufacture the candy will cost $2 million, which will be depreciated by straight-line depreciation over four years. In addition, there will be $5 million spent on promoting the new candy line. It is expected that the range of candies will bring in revenues of $4 million per year for four years with production and support costs of $1.5 million per year. If CathFood's marginal tax rate is 35%, what are the incremental free cash flows in the second year of this project?

C. $62,958

Cromwell Industries is considering a new project which will have costs, revenues, etc. as shown by the data above. If the cost of capital is 8.0%, what is the net present value (NPV) of this project?

C. $38,000

Epiphany Industries is considering a new capital budgeting project that will last for three years. Epiphany plans on using a cost of capital of 12% to evaluate this project. Based on extensive research, it has prepared the following incremental cash flow projects: The free cash flow for the first year of Epiphany's project is closest to ____.

A. $65,750

Epiphany Industries is considering a new capital budgeting project that will last for three years. Epiphany plans on using a cost of capital of 12% to evaluate this project. Based on extensive research, it has prepared the following incremental cash flow projects: The free cash flow for the last year of Epiphany's project is closest to _____.

A. $139,000

Food For Less (FFL), a grocery store, is considering offering one-hour photo developing in their store. The firm expects that sales from the new one-hour machine will be $175,000 per year. FFL currently offers overnight film processing with annual sales of $90,000. While many of the one-hour photo sales will be to new customer, FFL estimates that 40% of their current overnight photo customers will switch and use the one-hour service. The level of incremental sales associated with introducing the new one-hour photo service is closest to _____.

A. $15.0 million

Ford Motor Company is considering launching a new line of hybrid diesel-electric SUVs. The heavy advertising expenses associated with the new SUV launch would generate operating losses of $30 million next year. Without the new SUC, Ford expects to earn pre-tax income of $80 million from operations next year. Ford pays a 30% tax rate on its pre-tax income. The amount that Ford Motor Company owes in taxes next year with the launch of the new SUC is closest to _____.

A. $28.0 million

Ford Motor Company is considering launching a new line of hybrid diesel-electric SUVs. The heavy advertising expenses associated with the new SUV launch would generate operating losses of $35 million next year. Without the new SUV, Ford expects to earn pre-tax income of $80 million from operations next year. Ford pays a 35% tax rate on its pre-tax income. The amount that Ford Motor Company owes in taxes next year without the launch of the new SUC is closest to _____.

D. 5 years

Luther Industries has outstanding tax loss carryforwards of $72 million from losses over the past four years. If Luther earns $15 million per year in pre-tax income from now on, in how many years will Luther first pay taxes?

B. $1,218,350

Massive Amusements, an owner of theme parks, invests $65 million to build a roller coaster. This can be depreciated using the MACRS schedule shown above. How much less is the depreciation tax shield for year 4 under MACRS depreciation than under 7-year, straight-line depreciation, if the tax rate is 35%?

B. at least 1.4%

Panjandrum Industries, a manufacturer of industrial piping, is evaluating whether it should expand into the sale of plastic fittings for home garden sprinkler systems. It has made the above estimates of free cash flows resulting from such a decision (all quantities in millions of dollars). It is thought that if marketing expenses are increased by 40%, then revenues will rise. By how much will revenues have to rise for the net present value (NPV) of the project to increase?

A. $1.66 million

Panjandrum Industries, a manufacturer of industrial piping, is evaluating whether it should expand into the sale of plastic fittings for home garden sprinkler systems. It has made the above estimates of free cash flows resulting from such a decision (all quantities in millions of dollars). There are some concerns that estimates of manufacturing expenses may be low, due to the rising cost of raw materials. What is the break-even point for manufacturing expenses, if all other estimates are correct and the cost of capital is 9%?

D. 14%

Panjandrum Industries, a manufacturer of industrial piping, is evaluating whether it should expand into the sale of plastic fittings for home garden sprinkler systems. It has made the above estimates of free cash flows resulting from such a decision. There are concerns of the sensitivity of this project to changes in the cost of capital. For what cost of capital does this project break-even?

A. $90 million

Shepard Industries is evaluating a proposal to expand its current distribution facilities. Management has projected that the project will produce the following cash flows for the first two years (in millions of dollars). The depreciation tax shield for Shepard Industries project in year 2 is closest to _____.

D. $69 million

Shepard Industries is evaluating a proposal to expand its current distribution facilities. Management has projected the project will produce the following cash flows for the first two years (in millions). The depreciation tax shield for Shepard Industries project in year 1 is closest to _____.

A. $2,956,522

Temporary Housing Services Incorporated (THSI) is considering a project that involves setting up a temporary housing facility in an area recently damaged by a hurricane. THSI will lease space in this facility to various agencies and groups providing relief services to the area. THSI estimates that this project will initially cost $5 million to set up and will generate $21 million in revenues during its first and only year in operation (paid in one year). Operating expenses are expected to total $8 million during this year and depreciation expense will be another $2 million. THSI will require no working capital for this investment. THSI's marginal tax rate is 35%. Assume that THSI's cost of capital for this project is 15%. The net present value (NPV) of this temporary housing project is closest to _____.

D. $7.85 million

Temporary Housing Services Incorporated (THSI) is considering a project that involves setting up a temporary housing facility in an area recently damaged by a hurricane. THSI will lease space in this facility to various agencies and groups providing relief services to the area. THSI estimates that this project will initially cost $6 million to set up and will generate $22 million in revenues during its first and only year in operation (paid in one year). Operating expenses are expected to total $11 million during this year and depreciation expense will be another $2 million. THSI will require no working capital for this investment. THSI's marginal tax rate is 35%. Ignoring the original investment of $5 million, what is THSI's free cash flow for the first and only year of operation?

B. $1,260,000

The Sisyphean Company is considering a new project that will have an annual depreciation expense of $3.6 million. If Sisyphean's marginal corporate tax rate is 35% and its average corporate tax rate is 30%, then what is the value of the depreciation tax shield on the company's new project?

A. $4114

The Sisyphean Corporation is considering investing in a new cane manufacturing machine that has an estimated life of three years. The cost of the machine is $30,000 and the machine will be depreciated straight line over its three-year life to a residual value of $0. The cane manufacturing machine will result in sales of 2000 canes in year 1. Sales are estimated to grow by 10% each year through year 3. The price per cane that Sisyphean will charge its customers is $17 each and is to remain constant. The canes have a cost per unit to manufacture of $8 each. Installation of the machine and the resulting increase in manufacturing capacity will require an increase in various net working capital accounts. It is estimated that the Sisyphean Corporation needs to hold 2% of its annual sales in cash, 5% of its annual sales in accounts receivable, 10% of its annual sales in inventory, and 6% of its annual sales in accounts payable. The firm is in the 35% tax bracket and has a cost of capital of 9%. The required net working capital in the second year for the Sisyphean Corporation's project is closest to _____.

B. an increase of $356

The Sisyphean Corporation is considering investing in a new cane manufacturing machine that has an estimated life of three years. The cost of the machine is $30,000 and the machine will be depreciated straight line over its three-year life to a residual value of $0. The cane manufacturing machine will result in sales of 2400 canes in year 1. Sales are estimated to grow by 9% each year through year 3. The price per cane that Sisyphean will charge its customers is $15 each and is to remain constant. The canes have a cost per unit to manufacture of $8 each. Installation of the machine and the resulting increase in manufacturing capacity will require an increase in various net working capital accounts. It is estimated that the Sisyphean Corporation needs to hold 3% of its annual sales in cash, 5% of its annual sales in accounts receivable, 9% of its annual sales in inventory, and 6% of its annual sales in accounts payable. The firm is in the 35% tax bracket and has a cost of capital of 8%. The change in net working capital from year 1 to year 2 is closest to _____.

A. $5200

The Sisyphean Corporation is considering investing in a new cane manufacturing machine that has an estimated life of three years. The cost of the machine is $30,000 and the machine will be depreciated straight line over its three-year life to a residual value of $0. The cane manufacturing machine will result in sales of 2500 canes in year 1. Sales are estimated to grow by 9% each year through year 3. The price per cane that Sisyphean will charge its customers is $16 each and is to remain constant. The canes have a cost per unit to manufacture of $10 each. Installation of the machine and the resulting increase in manufacturing capacity will require an increase in various net working capital accounts. It is estimated that the Sisyphean Corporation needs to hold 3% of its annual sales in cash, 5% of its annual sales in accounts receivable, 10% of its annual sales in inventory, and 5% of its annual sales in accounts payable. The firm is in the 35% tax bracket and has a cost of capital of 9%. The required net working capital in the first year for the Sisyphean Corporation's project is closest to _____.

B. $3500

The Sisyphean Corporation is considering investing in a new cane manufacturing machine that has an estimated life of three years. The cost of the machine is $30,000 and the machine will be depreciated straight line over its three-year life to a residual value of $0. The cane manufacturing machine will result in sales of 2000 canes in year 1. Sales are estimated to grow by 10% per year each year through year 3. The price per cane that Sisyphean will charge its customers is $18 each and is to remain constant. The canes have a cost per unit to manufacture of $9 each. Installation of the machine and the resulting increase in manufacturing capacity will require an increase in various net working capital accounts. It is estimated that the Sisyphean Corporation needs to hold 2% of its annual sales in cash, 4% of its annual sales in accounts receivable, 9% of its annual sales in inventory, and 5% of its annual sales in accounts payable. The firm is in the 35% tax bracket and has a cost of capital of 10%. The depreciation tax shield for the Sisyphean Corporation's project in the first year is closest to _____.

C. $46 thousand

The balance sheet for a small firm is shown above. All amounts are in thousands of dollars. What is this firm's Net Working Capital?

14.3

Vernon-Nelson Chemicals is planning to release a new brand of insecticide, Bee-Safe, that will kill many insect pests but not harm useful pollinators. Buying new equipment to manufacture the product will cost $15 million, and there will be an additional $2 million cost to reconfigure existing plant. The equipment is expected to have a lifetime of nine years and will be depreciated by the straight-line method over its lifetime. The firm expects that they should be able to sell 1,500,000 gallons per year at a price of $53 per gallon. It will take $36 per gallon to manufacture and support the product. If Vernon-Nelson's marginal tax rate is 40%, what are the incremental earnings after tax in year 3 of this project?

A. 12%

Visby Rides, a livery car company, is considering buying some new luxury cars. After extensive research, they come up with the above estimate of free cash flows from this project. By how much could the discount rate rise before the net present value (NPV) of this project is zero, given that it is currently 10%?

B. $9082

Visby Rides, a livery car company, is considering buying some new luxury cars. After extensive research, they come up with the above estimates of free cash flow from this project. The depreciation schedule shown is for three-year, straight-line depreciation. By how much would the net present value (NPV) of this project be increased, if the cars were depreciated by the MACRS schedule shown below given that the cost of capital is 10%?

D. 56%

Visby Rides, a livery car company, is considering buying some new luxury cars. After extensive research, they come up with the above estimates of free cash flow from this project. Visby learns that a competitor is thinking of offering similar services, thus reducing Visby's sales. By how much could sales fall before the net present value (NPV) was zero, given that the cost of capital is 8%, and that cost of goods sold is 45% of revenues?

D. $6400

You are considering adding a microbrewery onto one of your firm's existing restaurants. This will entail an increase in inventory of $8700, an increase in accounts payable of $2300, and an increase in property, plant, and equipment of $48,000. All other accounts will remain unchanged. The change in net working capital resulting from the addition of the microbrewery is _____.

A. $3290

You are considering adding a microbrewery onto one of your firm's existing restaurants. This will entail an investment of $47,000 in new equipment. This equipment will be depreciated straight-line over five years. If your firm's marginal corporate tax rate is 35%, then what is the value of the microbrewery's depreciation tax shield in the first year of operation?

A. $700,000

Your firm is considering building a new office complex. Your firm already owns land suitable for the new complex. The current book value of the land is $130,000; however, a commercial real estate agent has informed you that an outside buyer is interested in purchasing this land would be willing to pay $700,000 for it. When calculating the net present value (NPV) of your new office complex, ignoring taxes, the appropriate incremental cash flow for the use of this land is _____.