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Question 16 5 pts You purchased land 3 years ago for $75,000 and believe its mar

ID: 2657667 • Letter: Q

Question

Question 16 5 pts You purchased land 3 years ago for $75,000 and believe its market value is now $120,000. You are considering building a hotel on this land instead of selling it. To build the hotel, it will nitially cost you $205,000, an expense that you plan to depreciate straight line over the next three years. Wells Fargo offered you a loan for $60,000 at an 8% interest rate to be repaid over the next 4 years. You anticipate that the hotel will earn revenues of $334,000 each year, while expenses will be a mere $75,000 each year. The initial working capital requirement will be $14,000 which will be recovered in the last year. The tax rate is 28%. Your estimated cost of capital is 15%, what is the net present value of this project? O $831,000.00 O $186,089.94 O $139,666.75 O $192,149.88 O $80.929.67

Explanation / Answer

Year

0

1

2

3

Market value of land

-120000

cost of hotel

-205000

investment in working capital

-14000

sales

334000

334000

334000

less expenses

75000

75000

75000

less depreciation =205000/3

68333.33

68333.33

68333.33

PBT

190666.7

190666.7

190666.7

less tax 28%

53386.67

53386.67

53386.67

after tax profit

137280

137280

137280

add depreciation

68333.33

68333.33

68333.33

add recovery of working capital

14000

net cash flow

-339000

205613.3

205613.3

219613.3

present value of net cash flow = cash flow/(1+r)^n r= 15%

-339000

178794.2

155473.2

144399.3

NPV =sum of preset value of cash flow

139666.8

Year

0

1

2

3

Market value of land

-120000

cost of hotel

-205000

investment in working capital

-14000

sales

334000

334000

334000

less expenses

75000

75000

75000

less depreciation =205000/3

68333.33

68333.33

68333.33

PBT

190666.7

190666.7

190666.7

less tax 28%

53386.67

53386.67

53386.67

after tax profit

137280

137280

137280

add depreciation

68333.33

68333.33

68333.33

add recovery of working capital

14000

net cash flow

-339000

205613.3

205613.3

219613.3

present value of net cash flow = cash flow/(1+r)^n r= 15%

-339000

178794.2

155473.2

144399.3

NPV =sum of preset value of cash flow

139666.8

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