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Multiple Choice
Which of the following components are required to determine the present value (PV) of a future sum using the time value of money equation?
A
Future value, payment amount, and depreciation rate
B
Future value, interest rate, and number of periods
C
Interest rate, payment amount, and salvage value
D
Present value, interest rate, and payment amount
Verified step by step guidance
1
Understand the concept of present value (PV): Present value is the current worth of a future sum of money or stream of cash flows, given a specified rate of return (interest rate). It is calculated using the time value of money equation.
Identify the key components required for the calculation: To determine the present value, you need the future value (FV), the interest rate (r), and the number of periods (n). These components are essential in the formula for PV.
Recall the formula for present value: The formula is PV = FV / (1 + r)^n, where FV is the future value, r is the interest rate per period, and n is the number of periods.
Analyze the options provided: Compare the components listed in each option to the required components for the PV calculation. The correct components are future value, interest rate, and number of periods.
Eliminate incorrect options: Exclude options that include irrelevant components such as payment amount, depreciation rate, or salvage value, as these are not part of the PV calculation.