AACE International CCP Exam With Confidence Using Practice Dumps

In this problem, the key is to determine theBudgeted Cost of Work Performed (BCWP), which refers to the portion of the budget allocated for the completed work as of a particular point in time. The BCWP is also known as theEarned Value (EV). It is a critical measure in project management, particularly in the Earned Value Management (EVM) system, as it allows for a comparison between the planned progress and the actual progress of the project.

Given:

Baseline budget (Total Planned Budget or BAC):$1,000,000

Project duration:12 months

Budgeted Cost of Work Scheduled (BCWS) for the first month:$108,000

Actual Cost of Work Performed (ACWP) for the first month:$100,000

Total physical progress:9%

Steps to determine the BCWP:

Calculate the Planned Value (PV):

This is the value of the work planned to be completed by a specific time.

Here, PV for the first month is $108,000.

Determine the Actual Cost (AC):

The AC is the cost incurred for the actual work performed, which is $100,000 in this case.

Calculate the Earned Value (EV) or BCWP:

BCWP is calculated by multiplying the total physical progress by the Budget at Completion (BAC).

Given that the physical progress is 9%, the BCWP can be computed as:

BCWP=Physical Progress×BAC\text{BCWP} = \text{Physical Progress} \times \text{BAC} BCWP=Physical Progress×BAC BCWP=0.09×1,000,000=$90,000\text{BCWP} = 0.09 \times 1,000,000 = \$90,000BCWP=0.09×1,000,000=$90,000

Conclusion:

The Budgeted Cost of Work Performed (BCWP) for this project at the end of the first month is$90,000, which matches option A. This calculation is critical in project management for determininghow much of the budgeted work has been actually completed, enabling accurate performance assessment against the project baseline.

To find the value of equal year-end withdrawals made for 10 years with an initial investment of $50 at 6% interest, you use the annuity formula:

A=PV×i×(1+i)n(1+i)n−1A = \frac{PV \times i \times (1 + i)^n}{(1 + i)^n - 1}A=(1+i)n−1PV×i×(1+i)n​

Where:

AAA is the annuity payment (annual withdrawal)

PVPVPV is the present value ($50)

iii is the interest rate (6% or 0.06)

nnn is the number of periods (10 years)

A=50×0.06×(1+0.06)10(1+0.06)10−1≈5.35A = \frac{50 \times 0.06 \times (1 + 0.06)^{10}}{(1 + 0.06)^{10} - 1} \approx 5.35A=(1+0.06)10−150×0.06×(1+0.06)10​≈5.35

In a construction company, profitability analysis typically involves calculating theReturn on Investment (ROI)andRate of Return (ROR). ROI measures the profitability of an investment by comparing the gain from the investment to its cost, while ROR calculates the percentage return on each dollar invested. These metrics are critical in determining the financial performance and efficiency of investments in the construction industry.