Certified Energy Auditor Economic Analysis of Projects Questions and Answers — Questions and Answers
Question 1: An energy efficiency project has an initial cost of $120,000 and is expected to generate annual savings of $30,000. The company also secured a one-time utility rebate of $15,000 upon project completion. What is the Simple Payback Period (SPP) for this project?
- 4.0 years
- 3.5 years (Correct answer)
- 4.5 years
- 5.0 years
Correct answer: 3.5 years
The Simple Payback Period is calculated by dividing the net initial investment by the annual savings. The net investment is the initial cost minus any rebates or incentives. In this case, ($120,000 - $15,000) / $30,000 = $105,000 / $30,000 = 3.5 years.
Question 2: An energy project is evaluated using the company's minimum attractive rate of return (MARR) as the discount rate. The analysis shows a Net Present Value (NPV) of $5,000. What does this positive NPV signify?
- The project's return is less than the company's MARR.
- The project will pay for itself in exactly one year.
- The project's return is greater than the company's MARR. (Correct answer)
- The project's return is exactly equal to the company's MARR.
Correct answer: The project's return is greater than the company's MARR.
A positive Net Present Value (NPV) indicates that the present value of the project's future cash inflows, discounted at the company's minimum attractive rate of return (MARR), is greater than the present value of the cash outflows. This means the project's rate of return is higher than the minimum required rate, making it a financially attractive investment.
Question 3: Which of the following economic metrics is defined as the discount rate at which the Net Present Value (NPV) of all cash flows (both inflows and outflows) from a project equals zero?
- Return on Investment (ROI)
- Simple Payback Period (SPP)
- Savings-to-Investment Ratio (SIR)
- Internal Rate of Return (IRR) (Correct answer)
Correct answer: Internal Rate of Return (IRR)
The Internal Rate of Return (IRR) is the specific discount rate that makes the Net Present Value (NPV) of a project's cash flows equal to zero. It represents the expected annualized rate of return for the investment.
Question 4: A hospital is deciding between two different chillers. Chiller A has a low initial purchase price but higher projected annual energy and maintenance costs. Chiller B has a significantly higher initial cost but is much more efficient, leading to lower annual costs over its 20-year expected life. Which economic analysis method is most suitable for comparing these two options?
- Simple Payback Period (SPP)
- Life Cycle Cost Analysis (LCCA) (Correct answer)
- First-year Return on Investment (ROI)
- Annual benefit analysis
Correct answer: Life Cycle Cost Analysis (LCCA)
Life Cycle Cost Analysis (LCCA) is the most appropriate method because it considers all costs associated with an asset over its entire lifespan. This includes initial purchase price, installation, energy consumption, maintenance, repair, and disposal costs. It is specifically designed for comparing alternatives with different initial and operating costs.
Question 5: When performing a discounted cash flow analysis for an energy project, the 'time value of money' principle is a core concept. This principle fundamentally states that:
- Energy costs will always inflate over time.
- A dollar received today is worth more than a dollar received in the future. (Correct answer)
- The project's maintenance costs will increase as it ages.
- The simple payback period must be less than the equipment's useful life.
Correct answer: A dollar received today is worth more than a dollar received in the future.
The time value of money is the concept that money available at the present time is worth more than the identical sum in the future due to its potential earning capacity. This core principle is the foundation for all discounted cash flow analyses, including NPV and IRR.
Question 6: An energy project's analysis yields a Savings-to-Investment Ratio (SIR) of 1.4. Which of the following is the correct interpretation of this result?
- The project will pay for itself in 1.4 years.
- For every dollar invested, the project returns $0.40 in net savings.
- The project's lifetime costs are 1.4 times its lifetime savings.
- The present value of the project's lifetime savings is 1.4 times its initial investment cost. (Correct answer)
Correct answer: The present value of the project's lifetime savings is 1.4 times its initial investment cost.
The Savings-to-Investment Ratio (SIR), also known as the Benefit-Cost Ratio (BCR), compares the present value of the total savings to the present value of the total investment costs. An SIR of 1.4 means that for every dollar invested, the project is expected to return $1.40 in savings over its life, in present-day terms. A ratio greater than 1.0 indicates a financially viable project.
An energy efficiency project has an initial cost of $120,000 and is expected to generate annual savings of $30,000.
The company also secured a one-time utility rebate of $15,000 upon project completion.
What is the Simple Payback Period (SPP) for this project?