Question

In working on a bid for project you have determined that $245,000 of fixed assets will be required and that they will be depreciated straight-line to zero over the 5-year life of the project, and you can get $23,200 for these fixed assets at the end of 5 years. You will also need to increase net working capital by 15,000 initially and recoup the investment in net working capital at the end of the project. You have also determined that the discount rate should be 14 percent and the tax rate will be 35 percent. In addition, the annual cash costs will be $68,500. What is the minimum amount of annual sales revenue that is required for you to make money on the project? PLEASE SHOW WORK

A. $151,627.90

B. $155,119.00

C. $162,515.75

D. $102,627.90

E. $227,012.50

Assume BGL Enterprises increases its operating efficiency by lowering its costs while holding its sales constant. As a result, given all else constant, the: A. return on assets will decrease.

B. profit margin will decline.

C. equity multiplier will decrease.

D. return on equity will increase.

E. price-earnings ratio will increase.

Answer 1

Answer:

Question 1:

required investment $245,000

depreciation expense per year = ($245,00 - $23,200) / 5 = $44,360

you will also require $15,000 in working capital

annual cash costs = $68,500

what is the minimum amount of cash sales for accepting the project:

net cash flow₁ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14 = (0.65SR - $28,999) / 1.14 = 0.5702SR - $25,437.72

net cash flow₂ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14² = (0.65SR - $28,999) / 1.14² = 0.5002SR - $22,313.79

net cash flow₃ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14³ = (0.65SR - $28,999) / 1.14³ = 0.4387SR - $19,573.50

net cash flow₄ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14⁴ = (0.65SR - $28,999) / 1.14⁴ = 0.3849SR - $17,169.74

net cash flow₅ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360 + $15,000} / 1.14⁵ = (0.65SR - $13,999) / 1.14⁵ = 0.3376SR - $7,270.64

NPV = -initial outlay + cash flows

NPV = 0

initial outlay = cash flows

$260,000 = 0.5702SR - $25,437.72 + 0.5002SR - $22,313.79 + 0.4387SR - $19,573.50 + 0.3849SR - $17,169.74 + 0.3376SR - $7,270.64

$260,000 = 2.2316SR - $91,765.39

$351,765.39 = 2.2316SR

sales revenue = $351,765.39 / 2.2316 = $157,629.23

the closest answer is B = $155,119, but its NPV will be negative.

so we have to select C = $162,515.75 that results in an NPV = $10,887.

Question 2:

The correct answer is D. return on equity will increase.

If you lower your costs while your sales remain the same, your profits will increase as well as your ROE.