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Problem 8-2 Calculating Project NPV The Freeman Manufacturing Company is conside

ID: 2658044 • Letter: P

Question

Problem 8-2 Calculating Project NPV The Freeman Manufacturing Company is considering a new investment. Financial projections for the investment are tabulated below The corporate tax rate is 35 percent. Assume all sales revenue is received in cash, all operating costs and income taxes are paid in cash, and all cash flows occur at the end of the year. All net working capital is recovered at the end of the project. 12.5 Year 38,80e Year 1 Year 2 Year 3 Investment Sales revenue Operating costs Depreciation Net working capital spending $19,5 $20,8 $2,500 $17,588 4,100 4,280 9,see see 490 9,see 448 9,see eBook a. Compute the incremental net income of the investment for each year. (Do not round intermediate calculations.) Year 1 Year 2 Year 3 409 135 si 292 References b. Compute the incremental cash flows of the investment for each year. (Do not round intermediate calculations. A negative answer should be indicated by a minus sign.) ear 4 Year 2 S(38440 12845 $1341 $ 1433 Cash flow c. Suppose the appropriate discount rate is 13 percent. What is the NPV of the project? (Do not round intermediate calculations an round your answer to 2 decimal places, e.g., 32.16.) NPV

Explanation / Answer

Computation of Net income and Cash flow:

Year 0

Year 1

Year 2

Year 3

Year 4

Investment

$38,000

Sales revenue

$19,500

$20,000

$20,500

$17,500

Less: Operating cost

$4,100

$4,200

$4,300

$3,500

EBITDA

$15,400

$15,800

$16,200

$14,000

Less: Depreciation

$9,500

$9,500

$9,500

$9,500

EBIT

$5,900

$6,300

$6,700

$4,500

Less: Interest

$0

$0

$0

$0

Less: Tax @ 35 %

$2,065

$2,205

$2,345

$1,575

Net Income

$3,835

$4,095

$4,355

$2,925

Less: Working capital

$440

$490

$540

$440

($1,910)

Add: Depreciation

$9,500

$9,500

$9,500

$9,500

Incremental cash flow

($38,440)

$12,845

$13,055

$13,415

$14,335

Working capital release at the end of project = $ 440 + $ 490 + $ 540 + $ 440 = $ 1,910

Computation of NPV:

Year

Cash Flow (C)

PV Factor calculation

PV Factor @ 13 %(F)

PV (= C x F)

0

$    (38,440)

1/(1+13%)^0

1

($38,440.00)

1

$     12,845

1/(1+13%)^1

0.884955752

$11,367.26

2

$      13,055

1/(1+13%)^2

0.783146683

$10,223.98

3

$      13,415

1/(1+13%)^3

0.693050162

$9,297.27

4

$      14,335

1/(1+13%)^4

0.613318728

$8,791.92

NPV

$1,240.43

Year 0

Year 1

Year 2

Year 3

Year 4

Investment

$38,000

Sales revenue

$19,500

$20,000

$20,500

$17,500

Less: Operating cost

$4,100

$4,200

$4,300

$3,500

EBITDA

$15,400

$15,800

$16,200

$14,000

Less: Depreciation

$9,500

$9,500

$9,500

$9,500

EBIT

$5,900

$6,300

$6,700

$4,500

Less: Interest

$0

$0

$0

$0

Less: Tax @ 35 %

$2,065

$2,205

$2,345

$1,575

Net Income

$3,835

$4,095

$4,355

$2,925

Less: Working capital

$440

$490

$540

$440

($1,910)

Add: Depreciation

$9,500

$9,500

$9,500

$9,500

Incremental cash flow

($38,440)

$12,845

$13,055

$13,415

$14,335