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Kendall Corporation is considering a project that requires an initial investment

ID: 2657294 • Letter: K

Question

Kendall Corporation is considering a project that requires an initial investment of $577,500 and has a useful life of 11 years. The annual net cash receipts will be $190,000. The salvage value of the assets used in the project will be $70,000. The company's tax rate is 25%. For tax purposes, the entire initial investment (without any reduction for salvage value) will be depreciated over 11 years. The company uses a discount rate of 19%. Provide the variables you entered into Excel and your final calculation of net present value after-tax. (If a variable i not used in the calculation, input a zero (0). Omit the "S" and "%" signs in your response. Round answers to the nearest dollar and use a minus sign () for negative numbers.) Excel input: Rate er PMT PV FV Net present value Required Compute the internal rate of return after-tax. Provide the variables you entered into Excel for the calculation. (If a variable is not used in the calculation, input a zero (0). Omit the "S" and "%" signs in your response. Round answers to the nearest dollar / whole number and use a minus sign (-) for negative numbers.)

Explanation / Answer

Solution:

Calculation of yearly Cash Inflow:

Annual Depreciation = $52,500 ($577,500/11)

Annual after-tax Cash Inflow

A

B

C

1

Annual Inflow

150,000

2

Less: depreciation

52,500

3

97,500 (C1 - C2)

4

Less: Tax @ 25%

24,375 (C3 * 25%)

5

After tax income

73,125 (C3 – C4)

6

Add: Depreciation

52,500

7

Net Cash Inflow

125,625 (C5 + C6)

Calculation of NPV:

A

B

C

10

19%

Annual Discount Rate

11

-577,500

Initial Investment

12

125,625

Cash Inflow 1

13

125,625

Cash Inflow 2

14

125,625

Cash Inflow 3

15

125,625

Cash Inflow 4

16

125,625

Cash Inflow 5

17

125,625

Cash Inflow 6

18

125,625

Cash Inflow 7

19

125,625

Cash Inflow 8

20

125,625

Cash Inflow 9

21

125,625

Cash Inflow 10

22

181,875

Cash Inflow 11

23

-5,582.92

NPV [=NPV(B10,B12:B22)+B11]

Rate = 19%

Nper = 11

PMT = $125,625

PV = $577,500

FV = $0

Net Present Value = -$5582.92

Calculation of IRR:

A

B

C

26

-577,500

Initial Investment

27

125,625

Cash Inflow 1

28

125,625

Cash Inflow 2

29

125,625

Cash Inflow 3

30

125,625

Cash Inflow 4

31

125,625

Cash Inflow 5

32

125,625

Cash Inflow 6

33

125,625

Cash Inflow 7

34

125,625

Cash Inflow 8

35

125,625

Cash Inflow 9

36

125,625

Cash Inflow 10

37

181,875

Cash Inflow 11

38

19%

IRR [=IRR(B26:B37)]

Rate = 0%

Nper = 11

PMT = $125,625

PV = $577,500

FV = $0

Internal Rate of Return (IRR) = 19%

A

B

C

1

Annual Inflow

150,000

2

Less: depreciation

52,500

3

97,500 (C1 - C2)

4

Less: Tax @ 25%

24,375 (C3 * 25%)

5

After tax income

73,125 (C3 – C4)

6

Add: Depreciation

52,500

7

Net Cash Inflow

125,625 (C5 + C6)