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Multiple Choice
Which of the following methods is used to calculate the present value of a future cash flow?
A
Compounding present cash flows to a future value
B
Averaging the future and present cash flows
C
Summing all future cash flows without adjustment
D
Discounting future cash flows using a specified interest rate
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 stream of cash flows, given a specified rate of return. It accounts for the time value of money, which states that money available today is worth more than the same amount in the future due to its earning potential.
Recognize the method used: The correct method to calculate the present value of future cash flows is 'Discounting future cash flows using a specified interest rate.' This involves reducing the future cash flows to their present value using a discount rate.
Learn the formula for present value: The formula for calculating the present value of a single future cash flow is \( PV = \frac{FV}{(1 + r)^n} \), where \( PV \) is the present value, \( FV \) is the future value, \( r \) is the discount rate (interest rate), and \( n \) is the number of periods.
Understand the process of discounting: Discounting adjusts future cash flows to reflect their value in today's terms. It accounts for the interest rate and the time period until the cash flow occurs. This is the opposite of compounding, which calculates the future value of present cash flows.
Apply the formula to solve problems: To calculate the present value, identify the future cash flow amount (\( FV \)), the discount rate (\( r \)), and the number of periods (\( n \)). Substitute these values into the formula \( PV = \frac{FV}{(1 + r)^n} \) and simplify to find the present value.