In: Finance
Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.32 million. The fixed asset falls into the three-year MACRS class (MACRS schedule). The project is estimated to generate $1.735 million in annual sales, with costs of $650,000. The project requires an initial investment in net working capital of $250,000, and the fixed asset will have a market value of $180,000 at the end of the project. The tax rate is 21 percent.
a. What is the project’s Year 0 net cash flow? Year 1? Year 2? Year 3? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)
b. If the required return is 12 percent, what is the project's NPV? (Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)
Question a:
Project's Year 0 net cash flow is -$2,570,000
Project's Year 1 net cash flow is $1,019,533.76
Project's Year 2 net cash flow is $1,073,710.40
Project's Year 3 net cash flow is $1,357,605.84
Question b:
Calculation of Project's NPV | ||||
Particulars | 0 | 1 | 2 | 3 |
Initial Investment | ||||
Investment in fixed asset | -2320000 | |||
Investment in net working capital | -250000 | |||
Net Investment (A) | -2570000 | |||
Operating Cash Flows | ||||
Annual Sales (B) | 1735000 | 1735000 | 1735000 | |
Variable Costs (C ) | 650000 | 650000 | 650000 | |
Depreciation (D) $2,320,000 * 33.33%, 44.45%, 14.81% |
773256 | 1031240 | 343592 | |
Profit before tax (E = B-C-D) | 311744 | 53760 | 741408 | |
Tax @21% (F = E*21%) | 65466.24 | 11289.6 | 155695.68 | |
Profit After Tax (G = E-F) | 246277.76 | 42470.4 | 585712.32 | |
Add back Depreciation (H = D) | 773256 | 1031240 | 343592 | |
Operating Cash Flows (I = G+H) | 1019533.76 | 1073710.4 | 929304.32 | |
Terminal Value | ||||
Sale Value (J) | 180000 | |||
Book value of asset (K) $2,320,000 * 7.41% |
171912 | |||
Profit on sale (L = J-K) | 8088 | |||
Tax on sale (M = L*21%) | 1698.48 | |||
After tax sale value (N = J-M) | 178301.52 | |||
Recovery of net working capital (O) | 250000 | |||
Net Terminal value (P = N+O) | 428301.52 | |||
Total Cash Flows (Q = A+I+O) | -2570000 | 1019533.76 | 1073710.4 | 1357605.84 |
Discount Factor @12% (R ) 1/(1+12%)^n n=0,1,2,3 |
1 | 0.892857143 | 0.797193878 | 0.711780248 |
Discounted Cash Flows (S = Q*R) | -2570000 | 910298 | 855955.3571 | 966317.0212 |
NPV of the Project | 162570.3784 |
Therefore, NPV of the project is $162,570.38