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Dunay Corporation is considering investing $770,000 in a project. The life of th

ID: 2483296 • Letter: D

Question

Dunay Corporation is considering investing $770,000 in a project. The life of the project would be 11 years. The project would require additional working capital of $27,000, which would be released for use elsewhere at the end of the project. The annual net cash inflows would be $164,000. The salvage value of the assets used in the project would be $37,000. The company uses a discount rate of 18%. (Ignore income taxes.)

Click here to view Exhibit 13B-1 and Exhibit 13B-2 to determine the appropriate discount factor(s) using tables.

Compute the net present value of the project. (Negative amount should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, intermediate and final answers to the nearest dollar amount. Omit the "$" sign in your response.)

Click here to view Exhibit 13B-1 and Exhibit 13B-2 to determine the appropriate discount factor(s) using tables.

Explanation / Answer

Solution:

1) Calculation of Present Value of Cash Outflow (Initial Investment of Project)

Cost of Project

$770,000

Add: Additional Working Capital

$27,000

Total Initial Investment required

$797,000

2) Calculation of Present Value of Expected future Cash Flows

Annual net cash inflows

$164,000

PVIFA (18%, 11)

4.656

Present Value of Net Cash Inflows

(Annual Cash Inflows x PVIFA (18%, 11)

$763,584

Present Value of Salvage Value of Asset

(Salvage Value x PVIF (18%, 11)

$5,994      (37,000*0.162)

Present Value of Working Capital Released

(Working Capital x PVIF (18%, 11)

$4,374       ($27,000*0.162)        

Total Present Value of Cash Inflows

$773,952

3) Net Present Value

Net Present Value = Present Value of Cash Inflows – Present Value of Cash Outflows

= $773,952 - $797,000

= - 23,048

Cost of Project

$770,000

Add: Additional Working Capital

$27,000

Total Initial Investment required

$797,000

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