When using a time value of money table to determine the present value of a single future cash flow, which two factors must you know to select the correct table value?

• A. The interest rate and the number of periods
• B. The amount of the initial investment and the future value
• C. The payment frequency and the compounding method
• D. The inflation rate and the tax rate

Answer: (A)

Verified step by step guidance

1. Understand the concept of present value: Present value is the current worth of a future sum of money or cash flow, given a specific interest rate and time period. It helps in determining how much a future amount is worth today.
2. Identify the purpose of a time value of money table: These tables are used to simplify the calculation of present value by providing pre-calculated factors based on interest rates and time periods.
3. Recognize the two key factors required to use the table: To select the correct table value, you need to know the interest rate (or discount rate) and the number of periods (time duration). These factors determine the present value factor in the table.
4. Understand why other options are incorrect: The amount of the initial investment and future value are not directly used to select the table value; they are used in the calculation after selecting the factor. Payment frequency and compounding method are relevant for annuities but not for single future cash flows. Inflation rate and tax rate are external factors and not part of the table selection process.
5. Apply the correct factors: Once you know the interest rate and the number of periods, locate the corresponding factor in the time value of money table. Multiply this factor by the future cash flow amount to calculate the present value.