Question

In: Finance

Digital Organics (DO) has the opportunity to invest $1.13 million now (t = 0) and expects...

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            $

Solutions

Expert Solution

Calculation of Present value of Investment

cost of equity = 13%

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

cost of debt = borrowing rate * (1-t)

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

132667.3976 14603.94845
147271.3461

So, Adjusted present value is $147271.35

Note : To calculate NPV, discount rate of equity shall be used.

To calculate present value of debt tax sheild, cost of debt shall be used.


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