Question

In: Accounting

A Company is considering investing in a new dock that will cost $350,000. The company expects...

A Company is considering investing in a new dock that will cost $350,000. The company expects to use the dock for 5 years, after which it will be sold for $90,000. LakeFront anticipates annual net cash inflows of $85,000 resulting from the new dock. Instructions

Calculate the net present value of the dock assuming the company's cost of capital is 10%.

Calculate the net present value of the dock assuming the company's cost of capital is 15%.

Solutions

Expert Solution

The net present value of the dock assuming the company's cost of capital is 10%

Year

Annual cash flows ($)

Present Value Factor (PVF) at 10.00%

Present Value of annual cash flows ($)

[Annual cash flow x PVF]

1

85,000

0.9090909

77,272.73

2

85,000

0.8264463

70,247.93

3

85,000

0.7513148

63,861.76

4

85,000

0.6830135

58,056.14

5

175,000

[85,000 + 90,000]

0.6209213

108,661.23

TOTAL

378,099.79

Net Present Value (NPV) = Present value of annual cash inflows – Initial investment costs

= $378,099.79 - $350,000

= $28,099.79

The net present value of the dock assuming the company's cost of capital is 15%

Year

Annual cash flows ($)

Present Value Factor (PVF) at 15.00%

Present Value of annual cash flows ($)

[Annual cash flow x PVF]

1

85,000

0.8695652

73,913.04

2

85,000

0.7561437

64,272.21

3

85,000

0.6575162

55,888.88

4

85,000

0.5717532

48,599.03

5

175,000

[85,000 + 90,000]

0.4971767

87,005.93

TOTAL

329,679.09

Net Present Value (NPV) = Present value of annual cash inflows – Initial investment costs

= $329,679.09 - $350,000

= -$20,320.91 (Negative NPV)

NOTE    

The Formula for calculating the Present Value Factor is [1/(1 + r)n], Where “r” is the Discount/Interest Rate and “n” is the number of years.


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