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Henrie\'s Drapery Service is investigating the purchase of an new machine for cl

ID: 2444222 • Letter: H

Question

Henrie's Drapery Service is investigating the purchase of an new machine for cleaning and blocking drapes. The machine would cost $130,400, including freight and installation. Henrie's has estimated that the new machine would increase the company´s cash inflows, net of expenses, by $25,000 per year. The machine would have a 10-year useful life and no salvage value. (Ignore income taxes.)

Required:
(a) Compute the machine's internal rate of return.

Internal rate of return __________%

(b) Compute the machine's net present value. Use a discount rate of 14%.

Net present value $_______________

(c) Suppose that the new machine would increase the company's annual cash inflows, net of expenses, by only $22,500 per year. Under these conditions, compute the internal rate of return.

Internal rate of return ______________%

Explanation / Answer

(a) Compute the machine's internal rate of return.

Internal rate of return __________%

Calculating Internal Rate of Return

(IRR) using Ms-Excel “Spread sheet”

years

A

0

($130,400)

1

$25,000

2

$25,000

3

$25,000

4

$25,000

5

$25,000

6

$25,000

7

$25,000

8

$25,000

9

$25,000

10

$25,000

IRR=

14%

(b) Compute the machine's net present value. Use a discount rate of 14%.

Net present value $_______________

Calculating Net Present Value

years

A

PVF@14

PVF@14

0

($130,400)

1

($130,400)

1

$25,000

0.877

$21,925.00

2

$25,000

0.769

$19,225.00

3

$25,000

0.675

$16,875.00

4

$25,000

0.592

$14,800.00

5

$25,000

0.519

$12,975.00

6

$25,000

0.456

$11,400.00

7

$25,000

0.4

$10,000.00

8

$25,000

0.351

$8,775.00

9

$25,000

0.308

$7,700.00

10

$25,000

0.27

$6,750.00

Net Present Value

$25

(c) Suppose that the new machine would increase the company's annual cash inflows, net of expenses, by only $22,500 per year. Under these conditions, compute the internal rate of return.

Internal rate of return ______________%


Calculating Internal Rate of Return

(IRR) using Ms-Excel “Spread sheet”

years

A

0

($130,400)

1

$22,500

2

$22,500

3

$22,500

4

$22,500

5

$22,500

6

$22,500

7

$22,500

8

$22,500

9

$22,500

10

$22,500

IRR=

11%

Calculating Internal Rate of Return

(IRR) using Ms-Excel “Spread sheet”

years

A

0

($130,400)

1

$25,000

2

$25,000

3

$25,000

4

$25,000

5

$25,000

6

$25,000

7

$25,000

8

$25,000

9

$25,000

10

$25,000

IRR=

14%

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