Question

Net Present Value. Solved Project A, need help with Project B.

Perit Industries has $100,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are:

Project A Project B
Cost of equipment required $100,000 $0
Working capital investment required $0 $100,000
Annual cash inflows $21,000 $16,000
Salvage value of equipment in six years $8,000 $0
Life of the project 6 years 6 years


The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries' discount rate is 14%. (Ignore incometaxes.)

To determine the appropriate discount factor(s) using tables, click here to view Exhibit 12B-1 (0.456) and Exhibit 12B-2 (3.889). Alternatively, if you calculate thediscount factor(s) using a formula, round to three (3) decimal places before using the factor in the problem.

Required:
(a)

Calculate net present value for each project. (Negative amount should be indicated by a minus sign. Round your answer to the nearest dollar amount. Omit the "$" signin your response.)

Net present value
Project A $ -14,683 (correct answer)
Project B $ ??
2 0
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Answer #1

Answer:-a)- Net present value of each project:-

Project A = ($14683)

Project B = $6852

Explanation:-

Perit Inductries
Net Present Value
Project A
Particulars Present Value Factor @14% Present value
(a) (b) (c=a*b)
Net cash flow per year (For 6 years) 21000 3.889 81669
New Equipment (1st Year) -100000 1 -100000
Salvage value (6th year) 8000 0.456 3648
Net Present Value -14683
Perit Industries
Net Present Value
Project B
Particulars Cash Flows Present Value Factor @14% Present value
(a) (b) (c=a*b)
Net cash flow per year (For 6 years) 15750 3.889 61252
Working capital investment (1st Year) -100000 1 -100000
Working capital released (6th year) 100000 0.456 45600
Net Present Value 6852

b)-The company should accept Project B due to positive net positive value.

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Answer #2

The return on investment at 14% is computed below:

Project A

Item

Years

Amount of cash flow

14% factor

Present value of cash flow

Cost of Equipment

Now

-$100,000

1.000

-$100,000

Annual Cash Flow

1-6

$21,000

3.889

$81,669

Salvage value

6

$8,000

0.456

$3,648

Net Present Value

 

-$14,683

Project B

Item

Years

Amount of cash flow

14% factor

Present value of cash flow

Working Capital investment

Now

-$100,000

1.000

-$100,000

Annual Cash Flow

1-6

$16,000

3.889

$62,224

Release of Working Capital

6

$100,000

0.456

$45,600

Net Present Value

 

$7,824

The Net present value is as under :

Project A ($14,683)

Project B $7,824

Since, Project B has positive Net present value, it is recommended for approval.

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