Question
A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows: 0 1 2
A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows:
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Project A | -$300 | -$387 | -$193 | -$100 | $600 | $600 | $850 | -$180 |
Project B | -$400 | $132 | $132 | $132 | $132 | $132 | $132 | $0 |
The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.
Open spreadsheet
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What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations.
Project A: $
Project B: $
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What is each project's IRR? Round your answer to two decimal places.
Project A:
Project B:
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What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Do not round your intermediate calculations.
Project A:
Project B:
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Construct NPV profiles for Projects A and B. Round your answers to the nearest cent. Do not round your intermediate calculations. Negative value should be indicated by a minus sign.
Discount Rate NPV Project A NPV Project B 0% 5 10 12 15 18.1 23.86 $ fill in the blank 23 -
Calculate the crossover rate where the two projects' NPVs are equal. Round your answer to two decimal places. Do not round your intermediate calculations.
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What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Do not round your intermediate calculations.
Project A:
Project B:
Capital budgeting criteria WACC 13.00% 0 0 -$300 1 $387 2 -S193 3 -$100 4 $600 5 S600 6 $850 7 -S180 Project A Project B -S400 $132 $132 $132 $132 S132 $132 so Formulas #N/A #N/A 2 1 Project NPV Calculations: 2 NPVA B 4 NPVE 5 Project IRR Calculations: 7 IRRA B IRR #N/A #N/A #N/A 0 $300 1 -$387 2 -$193 3 -$100 4 $600 5 S600 6 $850 7 -$180 Project MIRR Calculations: 2 MIRRA 3 4 Alternatively, MIRR, can be calculated as: 5 Project A 7 PV of Year 1 Outflow e PV of Year 2 Outflow PV of Year 3 Outflow 1 PV of Year 7 Outflow 2 B Formulas #N/A #N/A #N/A #A #N/A Formulas #N/A #N/A #N/A FV of Year 6 Inflow at Year 7 FV of Year 5 Inflow at Year 7 FV of Year 4 Inflow at Year 7 #N/A #N/A Sum of Inflow FVs Formulas 5 6 Sum of Outflow PVS 7 BN PV PMT 1 FV 2 IYR - MIRRA 3 7 $0.00 0 $0.00 #N/A 4 MIRRE #N/A 5 0 -S400 1 $132 2 $132 3 S132 4 4 $132 5 S132 6 $132 7 SO $ Formulas #N/A #N/A #N/A #N/A #/ #N/A #N/A FV of Year 6 Inflow at Year 7 FV of Year 5 Inflow at Year 7 FV of Year 4 Inflow at Year 7 FV of Year 3 Inflow at Year 7 FV of Year 2 Inflow at Year 7 FV of Year 1 Inflow at Year 7 #NIA #N/A Sum of Inflow FVs Formulas 7 $0.00 0 0 $0.00 #N/A 46 Alternatively, MIRR, can be calculated as: 47 48 Project B 49 50 51 52 53 54 55 56 57 58 Sum of Outflow PVs 59 60 N 61 PV 62 PMT 63 FV 64 I/YR - MIRRO 65 66 Project Acceptance: 67 WACC 68 Accept 69 70 WACC 71 NPVA 72 NPVE 73 Accept 74 75 NPV Profiles: 76 Discount Rates 77 78 0% 79 5.00% 80 10.00% 81 12.00% 82 15.00% 83 18.10% 84 23.86% 85 86 87 $ $1.20 13.00% #N/A 18.00% $2.66 $61.68 #N/A NPVA Discount Rates NPVA NPVE %9BnBma888889 NPV, S61.68 $2.66 S2.66 $61.68 0% 5.00% 10.00% 12.00% 15.00% 18.10% 23.86% #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A NPV Profiles 90 91 $1.00 NPV Profiles 85 36 37 38 $1.20 89 30 $1.00 21 22 $0.80 23 34 $0.60 95 36 $0.40 7 8 $0.20 99 00 $0.00 01 0% 5.00% 02 03 04 Calculation of Crossover Rate: 05 06 Project A 07 08 Project B 09 10 Project Delta 11 12 13 Crossover Rate = IRR. 14 15 Project MIRR Calculations at WACC = 18% = 16 WACC 17 10.00% 12.00% 15.00% 18.10% 23.86% 2 4 0 -S300 1 -S387 3 -$100 5 S600 6 $850 7 -S180 -S193 $600 -S400 $132 $132 $132 $132 S132 $132 SO WNIA ANIA #N/A #N/A #N/A #N/A ANIA #N/A 18.00% 18 MIRRA 19 MIRRS #N/A #N/A /A 20 21 22 23 24 25 26
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