In: Finance
Digital Organics (DO) has the opportunity to invest $1.13 million now (t = 0) and expects after-tax returns of $710,000 in t = 1 and $810,000 in t = 2. The project will last for two years only. The appropriate cost of capital is 13% with all-equity financing, the borrowing rate is 9%, and DO will borrow $290,000 against the project. This debt must be repaid in two equal installments of $145,000 each. Assume debt tax shields have a net value of $.40 per dollar of interest paid.
Calculate the project’s APV. (Enter your answer in dollars, not millions of dollars. Do not round intermediate calculations. Round your answer to the nearest whole number.)
Adjusted present value $
Calculation of Present value of Investment |
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cost of equity = 13% |
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P.V.F. @ 13% | Present value | ||||
Cash flow at year 0 | -1130000 | 1 | -1130000 | ||
Cash flow at year 1 | 710000 | 0.8849557522 | 628318.5841 | ||
Cash flow at year 1 | 810000 | 0.7831466834 | 634348.8135 | ||
NPV = | 132667.3976 | ||||
Calculation of Present value of debt tax shield |
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cost of debt = borrowing rate * (1-t) |
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9%*(1-0.40) = | 5.40% | ||||
Principal remaining | Interest amount@9% | Tax shield = Int. * 0.40 | P.V.F. @ 5.4 | P.V. | |
Interest for 1 year | 290000 | 26100 | 10440 | 0.9487666034 | 9905.12334 |
Interest for 2 year | 145000 | 13050 | 5220 | 0.9001580678 | 4698.825114 |
Present value of debt tax shield |
14603.94845 | ||||
Adjusted present value = Net Present value with equity fiancing + Present value of Debt tax shield |
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132667.3976 | 14603.94845 | ||||
147271.3461 | |||||
So, Adjusted present value is $147271.35 |
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Note : To calculate NPV, discount rate of equity shall be used. |
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To calculate present value of debt tax sheild, cost of debt shall be used. |
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