GFMC Exam Dumps : Examination 3: Governmental Financial Management and Control (GFMC)

 What Are We Solving For?

We are determining the present value (PV) of a $500,000 lump sum payment to be received in 10 years, using anopportunity rate of 12%. Inflation is not relevant here because the opportunity rate already reflects the expected return, including inflation adjustments.

 Formula for Present Value:

The present value (PV) is calculated using the formula:

PV=FV(1+r)nPV = \frac{FV}{(1 + r)^n}PV=(1+r)nFV​

Where:

FVFVFV = Future Value = $500,000

rrr = Opportunity rate = 12% or 0.12

nnn = Number of years = 10

 Calculation:

PV=500,000(1+0.12)10PV = \frac{500,000}{(1 + 0.12)^{10}}PV=(1+0.12)10500,000​ PV=500,000(1.12)10PV = \frac{500,000}{(1.12)^{10}}PV=(1.12)10500,000​ PV=500,0003.10585PV = \frac{500,000}{3.10585}PV=3.10585500,000​ PV≈160,986PV ≈ 160,986PV≈160,986

 Why Inflation Is Not Included:

The opportunity rate already incorporates the expected inflation. Using it ensures the PV reflects the real purchasing power of the future lump sum payment.

 Why Other Options Are Incorrect:

B. $186,023, C. $440,000, D. $485,000:These values result from incorrect calculations or the misuse of inflation in the formula.

 References and Documents:

GAO Financial Analysis Guide:Recommends using present value calculations with opportunity rates for investment decision-making.

AICPA Financial Management Guide:Provides detailed examples of calculating present value for lump sum payments.

Federal Credit Reform Act of 1990:This Act established a new accounting framework for federal credit programs, such as direct loans and loan guarantees. It requires using thenet present value (NPV)method to measure the costs of loans and guarantees by discounting future cash flows (e.g., loan repayments, defaults) to their present value.

Explanation of Financial Analytical Technique:

Net Present Value (NPV): Accounts for the time value of money by discounting future cash flows to the present. It provides an accurate measure of the economic cost to the government.

Other options:

A. Future value: Focuses on future cash flows, not their present cost.

C. Current value: Not a recognized technique for analyzing long-term cash flows.

D. Regression analysis: A statistical method, unrelated to calculating loan program costs.