Expert Answer
To solve the given problem, we'll use the Net Present Value (NPV) method, Present Value Index (PVI), and Internal Rate of Return (IRR). Let's calculate the values for each project based on the provided information.1a. Net Present Value (NPV) Calculation For the Wind Turbines project
Year 1: -$690,000 * 0.870 = -$600,300
Year 2: $330,000 * 1.626 = $536,580
Year 3: $690,000 * 2.283 = $1,575,270
Year 4: $690,000 * 2.855 = $1,970,950
Year 5: $690,000 * 3.352 = $2,313,120
Year 6: $690,000 * 3.784 = $2,611,760NPV = Sum of Present Values - Investment
NPV = (-$600,300) + $536,580 + $1,575,270 + $1,970,950 + $2,313,120 + $2,611,760 - $942,150
NPV = $8,464,530 - $942,150
NPV = $7,522,380For the Biofuel Equipment project:
Year 1: -$690,000 * 0.833 = -$574,770
Year 2: -$690,000 * 1.528 = -$1,055,520
Year 3: -$690,000 * 2.106 = -$1,451,740
Year 4: -$690,000 * 2.589 = -$1,783,410
Year 5: -$690,000 * 2.991 = -$2,062,590
Year 6: -$690,000 * 3.326 = -$2,296,140NPV = Sum of Present Values - Investment
NPV = (-$574,770) + (-$1,055,520) + (-$1,451,740) + (-$1,783,410) + (-$2,062,590) + (-$2,296,140) - $2,095,530
NPV = -$9,224,170 - $2,095,530
NPV = -$11,319,7001b. Present Value Index (PVI) Calculation:PVI = NPV / InvestmentFor the Wind Turbines project:
PVI = $7,522,380 / $942,150
PVI ? 7.99For the Biofuel Equipment project:
PVI = -$11,319,700 / $2,095,530
PVI ? -5.40Net Present Value (NPV):Wind Turbines project: The NPV is $7,522,380, indicating a positive value. This means that the project is expected to generate more value than the initial investment.Biofuel Equipment project: The NPV is -$11,319,700, indicating a negative value. This means that the project is not expected to generate enough value to cover the initial investment.