Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Blue Angel, Inc., a private firm in the holiday gift industry, is considering a

ID: 2738736 • Letter: B

Question

Blue Angel, Inc., a private firm in the holiday gift industry, is considering a new project. The company currently has a target debt–equity ratio of .45, but the industry target debt–equity ratio is .40. The industry average beta is 1.70. The market risk premium is 6 percent, and the risk-free rate is 4 percent. Assume all companies in this industry can issue debt at the risk-free rate. The corporate tax rate is 35 percent. The project requires an initial outlay of $692,000 and is expected to result in a $112,000 cash inflow at the end of the first year. The project will be financed at Blue Angel’s target debt–equity ratio. Annual cash flows from the project will grow at a constant rate of 4 percent until the end of the fifth year and remain constant forever thereafter. Calculate the NPV of the project. (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Explanation / Answer

1) Calculation of NPV of this project :

   Using CAPM Approach,

               Cost of equity = 4% + 1.70 * 6%

                                  = 14.2%

   Cost of debt after tax = 2.6% (4% - 35%)

Target debt equity ratio = 0.45

                    WACC = 0.55*14.2% + 0.45*2.6%

                                    = 0.0781+0.0117

                                    = 9%

         Debt portion in initial outlay = $311,400 (692000*45%)

Calculation of Net operating cash flow :

Calculation of present value of Projected cash flows :

                         Terminal cash flow = 77069 /0.09

                                       = 856322

Present value of terminal cash flow = 856322 * 0.650

                                                     = $556610

                                             NPV = 556610 - 418704

                                                     = $137906

Particulars 1 2 3 4 5 6 Cash Inflow 112000 116480 121140 125985 131024 131024 Less :Interest@4% (12456) (12456) (12456) (12456) (12456) (12456) Profit before tax 99544 104024 108684 113529 118568 118568 Less : Tax@35% (34840) (36408) (38040) (39735) (41499) (41499) Net operating cash flow 64704 67796 70644 73794 77069 77069